critical thinking lesson

The Will to Teach

Critical Thinking in the Classroom: A Guide for Teachers

In the ever-evolving landscape of education, teaching students the skill of critical thinking has become a priority. This powerful tool empowers students to evaluate information, make reasoned judgments, and approach problems from a fresh perspective. In this article, we’ll explore the significance of critical thinking and provide effective strategies to nurture this skill in your students.

Why is Fostering Critical Thinking Important?

Strategies to cultivate critical thinking, real-world example, concluding thoughts.

Critical thinking is a key skill that goes far beyond the four walls of a classroom. It equips students to better understand and interact with the world around them. Here are some reasons why fostering critical thinking is important:

• Making Informed Decisions:  Critical thinking enables students to evaluate the pros and cons of a situation, helping them make informed and rational decisions.
• Developing Analytical Skills:  Critical thinking involves analyzing information from different angles, which enhances analytical skills.
• Promoting Independence:  Critical thinking fosters independence by encouraging students to form their own opinions based on their analysis, rather than relying on others.

Creating an environment that encourages critical thinking can be accomplished in various ways. Here are some effective strategies:

• Socratic Questioning:  This method involves asking thought-provoking questions that encourage students to think deeply about a topic. For example, instead of asking, “What is the capital of France?” you might ask, “Why do you think Paris became the capital of France?”
• Debates and Discussions:  Debates and open-ended discussions allow students to explore different viewpoints and challenge their own beliefs. For example, a debate on a current event can engage students in critical analysis of the situation.
• Teaching Metacognition:  Teaching students to think about their own thinking can enhance their critical thinking skills. This can be achieved through activities such as reflective writing or journaling.
• Problem-Solving Activities:  As with developing problem-solving skills , activities that require students to find solutions to complex problems can also foster critical thinking.

As a school leader, I’ve seen the transformative power of critical thinking. During a school competition, I observed a team of students tasked with proposing a solution to reduce our school’s environmental impact. Instead of jumping to obvious solutions, they critically evaluated multiple options, considering the feasibility, cost, and potential impact of each. They ultimately proposed a comprehensive plan that involved water conservation, waste reduction, and energy efficiency measures. This demonstrated their ability to critically analyze a problem and develop an effective solution.

Critical thinking is an essential skill for students in the 21st century. It equips them to understand and navigate the world in a thoughtful and informed manner. As a teacher, incorporating strategies to foster critical thinking in your classroom can make a lasting impact on your students’ educational journey and life beyond school.

1. What is critical thinking? Critical thinking is the ability to analyze information objectively and make a reasoned judgment.

2. Why is critical thinking important for students? Critical thinking helps students make informed decisions, develop analytical skills, and promotes independence.

3. What are some strategies to cultivate critical thinking in students? Strategies can include Socratic questioning, debates and discussions, teaching metacognition, and problem-solving activities.

4. How can I assess my students’ critical thinking skills? You can assess critical thinking skills through essays, presentations, discussions, and problem-solving tasks that require thoughtful analysis.

5. Can critical thinking be taught? Yes, critical thinking can be taught and nurtured through specific teaching strategies and a supportive learning environment.

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Multiple Perspectives: Building Critical Thinking Skills

• Resources & Preparation
• Instructional Plan
• Related Resources

This lesson develops students' critical thinking skills through reading and interacting with multiple-perspectives texts. Students analyze selected texts, using metacognitive strategies such as visualizing, synthesizing, and making connections, to learn about multiple points of view. By studying Doreen Cronin's Diary of a Spider/ Worm/ Fly books, students develop a model for an original diary based on an animal of their choosing. Students conduct online research on their chosen animal and use the information gathered to create several diary entries from the perspective of that animal. Students' completed diaries are shared with the class and the larger school community.

Featured Resources

• Fish Is Fish : This Leo Lionni book encourages students to use their skills in thinking from different perspectives.
• Fish Is Fish Script: The script, written by the lesson author, contains original text from the book as well as some new additional text.
• Doreen Cronin as Our Mentor: This printout summarizes the types of entries Doreen Cronin uses in her Diary of a Spider/Worm/Fly books and provides students with ideas and starting points for their own diary entries.
• Websites for Research: A list of excellent, easy-to-navigate student-oriented websites that provide facts on all types of animals.

From Theory to Practice

• As a result of state standards that require students to engage in critical and analytical thinking related to texts, teachers have been turning toward the notion of critical literacy to address such requirements. Though it is an educational buzz word, there is no clear definition of critical literacy, which creates difficulties for teachers who attempt to incorporate deep, critical thinking into their instruction but do not get much guidance from state standards as to how to design instruction.
• Clarke and Whitney provide a three-part framework for incorporating critical literacy into the classroom: (1) Students start by digging beyond the surface of a text, deconstructing it, and then analyzing and interrogating the layers of meaning; (2) students take what they have learned from analyzing the text to reconstruct it and create new ways of thinking; and (3) by taking what they have learned from deconstructing and reconstructing the text, the students can connect to the larger world and even take social action.
• Multiple-perspective books, which intentionally emphasize different viewpoints, help students develop critical thinking skills and learn how to see beyond their own lives to the world outside. Such books, coupled with Clarke and Whitney’s framework, help students to understand, visualize, and empathize with someone else’s struggles.

Common Core Standards

This resource has been aligned to the Common Core State Standards for states in which they have been adopted. If a state does not appear in the drop-down, CCSS alignments are forthcoming.

State Standards

This lesson has been aligned to standards in the following states. If a state does not appear in the drop-down, standard alignments are not currently available for that state.

NCTE/IRA National Standards for the English Language Arts

• 1. Students read a wide range of print and nonprint texts to build an understanding of texts, of themselves, and of the cultures of the United States and the world; to acquire new information; to respond to the needs and demands of society and the workplace; and for personal fulfillment. Among these texts are fiction and nonfiction, classic and contemporary works.
• 3. Students apply a wide range of strategies to comprehend, interpret, evaluate, and appreciate texts. They draw on their prior experience, their interactions with other readers and writers, their knowledge of word meaning and of other texts, their word identification strategies, and their understanding of textual features (e.g., sound-letter correspondence, sentence structure, context, graphics).
• 4. Students adjust their use of spoken, written, and visual language (e.g., conventions, style, vocabulary) to communicate effectively with a variety of audiences and for different purposes.
• 5. Students employ a wide range of strategies as they write and use different writing process elements appropriately to communicate with different audiences for a variety of purposes.
• 7. Students conduct research on issues and interests by generating ideas and questions, and by posing problems. They gather, evaluate, and synthesize data from a variety of sources (e.g., print and nonprint texts, artifacts, people) to communicate their discoveries in ways that suit their purpose and audience.
• 8. Students use a variety of technological and information resources (e.g., libraries, databases, computer networks, video) to gather and synthesize information and to create and communicate knowledge.
• 11. Students participate as knowledgeable, reflective, creative, and critical members of a variety of literacy communities.
• 12. Students use spoken, written, and visual language to accomplish their own purposes (e.g., for learning, enjoyment, persuasion, and the exchange of information).

Materials and Technology

• Computers with Internet access (one computer per student, if possible)
• Pencils, crayons, markers, colored pencils, erasers
• Construction paper for cover of diary (one piece for each student or student pair)
• Seven Blind Mice by Ed Young (Philomel, 1992)
• Fish Is Fish by Leo Lionni (Random House, 1998)
• Diary of a Worm by Doreen Cronin (HarperCollins, 2003)
• Diary of a Spider by Doreen Cronin (HarperCollins, 2005)
• Diary of a Fly by Doreen Cronin (HarperCollins, 2007)
• Assorted Zoobooks or Ranger Rick magazines
• Baseball caps labeled Fish and Frog (optional)
• Fish Is Fish Script
• Diary Entry Template
• Doreen Cronin as Our Mentor
• Diary Planning Sheet
• Research Notes
• Can I See Different Perspectives?
• Partnership Reflection Form
• Self-Assessment: What Did I Learn?
• Sketch to Stretch
• Fish Is Fish Venn Diagram
• Websites for Research
• Teacher Rubric: Student Diary Entries
• Teacher Rating Form: Sketch to Stretch
• Teacher Rubric: Fish Is Fish
• Red-Eyed Tree Frog

Preparation

• Print out several copies of the Red-Eyed Tree Frog photograph (enough for a small group of students to share) and cut each photograph into several pieces.
• Make one copy for each student of Sketch to Stretch , Can I See Different Perspectives? , Fish Is Fish Script , Fish Is Fish Venn Diagram , Doreen Cronin as Our Mentor , Diary Planning Sheet , Research Notes , and Self-Assessment: What Did I Learn?
• Make three copies for each student of the Partnership Reflection Form .
• Make five copies for each student of the Diary Entry Template .
• Bookmark Websites for Research on classroom computers or bookmark each of the websites on the list.
• Print one copy each of the Teacher Rubric: Student Diary Entries , Teacher Rating Form: Sketch to Stretch and Teacher Rubric: Fish Is Fish .
• Obtain one copy of Seven Blind Mice by Ed Young and practice reading aloud.
• Obtain one copy of Fish Is Fish by Leo Lionni for teacher reference.
• Obtain multiple copies of Diary of a Worm , Diary of a Spider , and Diary of a Fly by Doreen Cronin.
• Obtain an assortment of Zoobooks and or Ranger Rick magazines for initial research.
• Reserve time in the computer lab for Session 5, if necessary.
• Familiarize yourself with all of the Websites for Research so you can assist students in navigating and searching these sites.
• If desired, have students bring in baseball caps prior to Session 3 and label each cap with either Fish or Frog . Each student needs a baseball cap, and because students will be working in partners, one student will receive the “Fish” label and the other student will receive the “Frog” label.

Student Objectives

Students will

• Develop a basic understanding of narrative perspective
• Become aware of the presence—and the value—of including different voices in a text; and understand how presenting an issue from various vantage points adds multiple layers of meaning
• Practice research skills by using both print and online sources
• Organize and synthesize facts from research
• Use critical literacy skills to view life from the perspective of a selected animal
• Practice writing factual information from a specific point of view, in a diary format
• Develop teamwork skills through working with a partner and sharing the responsibilities of research, planning, writing, and creating the final diary from the chosen animal’s perspective

Session 1: An Introduction to Multiple Perspectives

• To begin the exploration of perspective, explain to students that you are going to give them a small piece of a larger picture, which has been cut into pieces.
• Model how to create a picture based on a small part of the photograph.
• Organize students into small groups of 3–4 students. After groups have been formed, distribute pieces of the photograph to the members of each group. Have students draw what they think the rest of the photo might look like, without looking at the other pieces. (Remind them to focus on their part only.)
• Have the members of each group share their illustrations with one another. Engage students in discussion about the similarities and differences of their illustrations. Ask them to predict what the entire picture might be.
• Assemble all of the pieces of the picture to reveal the entire image.
• Connect to photograph activity, where each student formed a different idea of the original photograph because each was seeing it from a different perspective.
• Point out that there are always at least two sides to every story, which is why people go to court and why teachers ask each student involved in a disagreement to tell his or her side of a story.
• Explain that we come to understand a character’s perspective by creating mental images.
• When we pay attention to a character’s perspective (or all of the characters’ perspectives), we are engaging in critical thinking , and this kind of thinking helps us be better readers.
• Sum up the explanation of perspective with the analogy of “walking in someone else’s shoes.” In the case of reading, you are taking off your own shoes and putting on the narrator’s shoes to walk through the story.

Session 2: <em>Seven Blind Mice</em>

• Introduce the book Seven Blind Mice by telling students that it shows the perspective of seven different characters. Explain that they will first take apart (deconstruct) the story and sketch it from each character’s perspective and then put together all of their images and see if they can get an idea of the entire picture.
• Distribute a copy of the Sketch to Stretch sheet to each student and explain that each block is to be used to depict the perspective of one of the mice in the story.
• Activate students’ schema by having them briefly discuss how a mouse’s perspective is different from a human’s. Before reading, have students pretend to take off their shoes and imagine that they are putting on a mouse’s shoes.
• Read aloud Seven Blind Mice . Stop after each mouse’s description of the object ( pillar , snake , spear , cliff , fan , rope ) and have students complete a box on their Sketch to Stretch sheet.
• Before reading the ending of the book, have the students try to put together the images from the different perspectives to infer what the entire picture might be. After this discussion, finish the book.
• To close the lesson, have the students complete the self-assessment form Can I See Different Perspectives?

Session 3: Walking in a Character’s Shoes

• Introduce the book Fish Is Fish and ask students to predict what the book might be about. Also encourage them to ask questions about the book and think about what kinds of pictures they might see in the book. Encourage students to explain their thoughts as they discuss.
• Review the idea of perspective and connect it to Fish Is Fish . Ask students whose perspective they think Fish Is Fish will be told from and why. Then explain to the students that Fish Is Fish is told from the very different perspectives of a fish and of a tadpole that turns into a frog.
• Create student partnerships (2 students—if an odd number of students, one group of 3 and modify the activities as necessary). Students will complete the remaining sessions and activities with this partner.
• Distribute copies of the Fish Is Fish Venn Diagram and explain how students will fill in the characteristics of Fish and Tadpole/Frog in the appropriate spaces as they read.
• Distribute copies of the Fish Is Fish Script . The students will verbally read aloud the script with their partners. Note to students that whoever reads Fish’s part also must read as Narrator 1 and the partner who reads Frog’s part must also read Narrator 2. Provide students with the appropriate labels for their baseball caps (optional).
• Circulate and observe as students read through script with their partners.
• When students have read through about half of the script (about the halfway mark where Fish and Frog say good night), ask them to stop and jot down their thoughts about each character’s perspective. After they finish the book, they will complete the Fish Is Fish Venn Diagram and discuss as a pair.
• Have students discuss in their pairs which character (Fish or Frog) had a more positive perspective of life and why. Then, share thoughts as a class.
• To close the lesson, ask students whether playing the part of the fish and the frog after learning about perspective helped them feel as though they were thinking like the fish or frog.

Session 4: Using an Author as a Mentor

• Tell students that during the next two lessons they will complete a project using their skills of thinking from the perspective of someone or something else.
• Introduce Diary of a Spider , Diary of a Worm , and Diary of a Fly , and ask students how the books are similar. (Make sure students’ response is that they are all the diary of something.) Also ask students to predict what kind of project they think they will be working on (creating a diary from the perspective of an insect/animal).
• Tell students that they will be writing a diary from the perspective of an animal of their choosing. Students will be working with the partners they read with during the last session to create this diary. At this time, students can just begin to think about which animal they would like to “become.” A final decision does not need to be made at this point in time.
• Ask students how they think they could learn about the perspective of a particular animal (researching, asking questions, reading about the animal).
• Tell students that similarities among an author’s books can be used to form a “recipe” for another story. Distribute one copy of each book to each set of partners. If there aren’t enough copies, give each partnership one book and allow students to skim for about three minutes and then rotate with another group. After students have looked through the books, ask students what similarities they notice among the Diary of a Spider/Worm/Fly books. What is similar in the story lines? The entries?
• Distribute copies of Doreen Cronin as Our Mentor . Read through the list of “ingredients,” and have each student identify at least four entries they would like to emulate in their diary. You may want to require that all diaries follow Cronin’s formulas for beginning and ending but that the fifth entry of each student will be either the beginning or the ending. Encourage students to use different diary entry ideas within their pairs and to choose different items to emulate, as they will be writing the diary together.
• Distribute a copy of the Research Notes worksheet to each student, and have students go over the different types of facts they should look for about the animal.
• Provide students with time to discuss with their partners what animal they will research. You may want to go through your magazines ahead of time so you know which animals you have information for. Different partnerships may choose the same animal as long as information sources are available for each partnership.
• Bring students back together for short whole-class instruction. Model how to form additional questions students will need to answer to complete their animal diaries. For example, for a diary entry about the animal at school, you might think aloud, “Hmmm, we learn things in school. What might this animal need to learn when it is young or at some point during its lifetime?” For a diary entry about a nightmare the animal might have, you could think aloud: “Well, when I have nightmares they are always about something I am afraid of, so what might this animal be afraid of—afraid enough to have a nightmare?”
• Guide students to begin skimming through the Zoobooks or Ranger Rick magazines to gather some information about animals. Quickly review how the headings on each page can guide the reader to particular information.
• To close the session, have two sets of partners meet and share information about what they have found.

Session 5: Gathering the Ingredients

• When we read a story we see it from the perspective, or point of view, of the narrator, who may also be a character in the story.
• Different characters in the story have different perspectives on the events.
• Awareness of different perspectives is a type of critical thinking.
• Remind students that they will be working to write a diary from the perspective of a chosen animal. If necessary, review research and note-taking techniques.
• Have students review the preliminary research they conducted with Zoobooks or Ranger Rick magazines during the last lesson, and formulate some additional questions they would like to answer through their research.
• In the computer lab or on classroom computers, have students open the Websites for Research . Explain that students should use these sites to find information about their chosen animals and answer as many questions as possible on the Research Notes worksheet. Assist students in navigating the sites and finding the needed information. Partners can work together to gather the information, or each partner can work separately and compare and combine information in the end.

Session 6: Planning for the Diary

• Have students review their Research Notes from the previous session and select interesting facts to include in their animal diaries.
• Decides who will write the opening entry and who will write the closing entry
• Decides on dates for entries 1–10 ahead of time so that the entries are in consecutive order when written and then combined to form the diary
• As students finish planning, provide each student with five copies of the Diary Entry Template . Students can begin working on their entries today and complete them in Sessions 7 and 8.

Sessions 7 and 8: Writing From a Different Perspective

• If not distributed during the last session, provide each student with five copies of the Diary Entry Template . Allow students 30–40 minutes to work on constructing journal entries from their animal’s perspective. Encourage them to use their skills in thinking from another’s perspective while creating journal entries. Guide and assist students as needed while they create their journal entries.
• After students have written all of their entries, they should illustrate the various entries.
• Have students create a diary cover including the title ( Diary of a ______) and the name(s) of the author(s). Assist students in assembling their diaries, alternating pages by student.

Session 9: Sharing Our Learning

Set aside a class session for partner sets to share their diaries with the class orally. Since students worked in pairs, photocopy the diaries so that each partner has a copy. After sharing, make sure to distribute Self-Assessment: What Did I Learn? form for each student to complete independently.

• Have students use Microsoft PowerPoint or Smart Notebook software to create a digital version of their diaries. Assist them in adding a soundtrack of themselves reading the diary aloud if desired. Upload to the school website to share with students’ families, other classes, and the community.
• Have students visit younger classes and share their diaries as read-alouds or in a Readers Theatre format.
• To continue their study of multiple perspectives, have students read The Big Orange Splot by Daniel Pinkwater and rewrite the text as a script for Readers Theatre.
• Have students shadow another person—mother, father, teacher, sibling, or even a pet—for several days, taking notes and, if possible, interviewing the subject. Students could then write a diary from the perspective of the person they “shadowed,” using Doreen Cronin’s entries as models.
• Students can use Fish Is Fish Script for a Readers Theatre performance.
• Students can visit the Diary of a Fly website to remind them of their project and connect their learning to technology.

Student Assessment / Reflections

• At the end of Session 1, have students assess their ability to understand characters’ perspectives using the self assessment Can I See Different Perspectives?
• Use the Teacher Rating Form: Sketch to Stretch to reflect upon the students’ success with the Sketch to Stretch activity in Session 2.
• Use the Teacher Rubric: Fish Is Fish to assess students’ success with using critical thinking skills to think from different perspectives.
• Observe as the students discuss the similarities between Doreen Cronin’s books, as well as the entries they are interested in. Are students noticing similarities? Are they focusing on a particular subject that they find interesting?
• Observe students as they formulate additional questions for research. Are their questions appropriate for finding the information needed for their diary entries? Are students formulating questions with ease or do they require assistance in formulating questions?
• Observe students as they engage in research on the web. Are students locating information with ease? Are they using their worksheets to record and organize information?
• Assess students’ writing, research, and critical thinking skills through the use of the Teacher Rubric: Student Diary Entries .
• Students will reflect on their work by completing an end-of-unit Self-Assessment: What Did I Learn?
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• Kindergarten K

How to Teach Critical Thinking: Lesson Plans for Teachers

Knowing how to teach critical thinking is not always clear. These critical thinking lesson plans will help teachers build the critical thinking skills that their students need to become better engaged and informed global citizens.

The plans were developed in collaboration with psychology and brain researchers at Indiana University and with teachers across the country. All of our lesson plans are free to download, use and share. Primarily for middle schools, the topics range from cognitive biases to common logical fallacies, to subject-specific lessons in math, sciences, and social studies. 

We invite you to check out our library of lessons, to share any thoughts and feedback that you might have.

Confirmation Bias and Climate Change

Cognitive Biases and the Missouri Compromise

Exploring the Overconfidence Bias Through the American Revolution

Uncovering Cognitive Biases: Exploring the Impact on New World Explorers

Uncovering Confirmation Bias: Exploring the Bill of Rights

Teaching About Control Groups

Teaching About the Confirmation Bias

Teaching About the Cognitive Bias Called Overgeneralization

Using Unit Rates and Math to teach Critical Thinking

Critical Thinking and Statistics

Teaching Critical Thinking Skills

Social Media and the Confirmation Bias

Experimenter Bias in Science

Critical Thinking About Science News

Common Logical Fallacies in Science (Grades 6-8)

Common Logical Fallacies in Math (Grades 6-8)

Using Questions to Foster Critical Thinking in Science (Grades 6-8)

Teaching About Common Biases & Fallacies Using Social Studies (Grade 6)

Teaching About Common Biases & Fallacies Using Math (Grade 6)

Teaching About Common Biases & Fallacies Using Math (Grade 5)

Teaching About Common Biases & Fallacies Using Social Studies (Grade 4)

Teaching About Common Biases & Fallacies Using Math (Grade 4)

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5 Critical Thinking Skills Every Kid Needs To Learn (And How To Teach Them)

Teach them to thoughtfully question the world around them.

Little kids love to ask questions. “Why is the sky blue?” “Where does the sun go at night?” Their innate curiosity helps them learn more about the world, and it’s key to their development. As they grow older, it’s important to encourage them to keep asking questions and to teach them the right kinds of questions to ask. We call these “critical thinking skills,” and they help kids become thoughtful adults who are able to make informed decisions as they grow older.

What is critical thinking?

Critical thinking allows us to examine a subject and develop an informed opinion about it. First, we need to be able to simply understand the information, then we build on that by analyzing, comparing, evaluating, reflecting, and more. Critical thinking is about asking questions, then looking closely at the answers to form conclusions that are backed by provable facts, not just “gut feelings” and opinion.

Critical thinkers tend to question everything, and that can drive teachers and parents a little crazy. The temptation to reply, “Because I said so!” is strong, but when you can, try to provide the reasons behind your answers. We want to raise children who take an active role in the world around them and who nurture curiosity throughout their entire lives.

Key Critical Thinking Skills

So, what are critical thinking skills? There’s no official list, but many people use Bloom’s Taxonomy to help lay out the skills kids should develop as they grow up.

Source: Vanderbilt University

Bloom’s Taxonomy is laid out as a pyramid, with foundational skills at the bottom providing a base for more advanced skills higher up. The lowest phase, “Remember,” doesn’t require much critical thinking. These are the skills kids use when they memorize math facts or world capitals or practice their spelling words. Critical thinking doesn’t begin to creep in until the next steps.

Understanding requires more than memorization. It’s the difference between a child reciting by rote “one times four is four, two times four is eight, three times four is twelve,” versus recognizing that multiplication is the same as adding a number to itself a certain number of times. Schools focus more these days on understanding concepts than they used to; pure memorization has its place, but when a student understands the concept behind something, they can then move on to the next phase.

Application opens up whole worlds to students. Once you realize you can use a concept you’ve already mastered and apply it to other examples, you’ve expanded your learning exponentially. It’s easy to see this in math or science, but it works in all subjects. Kids may memorize sight words to speed up their reading mastery, but it’s learning to apply phonics and other reading skills that allows them to tackle any new word that comes their way.

Analysis is the real leap into advanced critical thinking for most kids. When we analyze something, we don’t take it at face value. Analysis requires us to find facts that stand up to inquiry, even if we don’t like what those facts might mean. We put aside personal feelings or beliefs and explore, examine, research, compare and contrast, draw correlations, organize, experiment, and so much more. We learn to identify primary sources for information, and check into the validity of those sources. Analysis is a skill successful adults must use every day, so it’s something we must help kids learn as early as possible.

Almost at the top of Bloom’s pyramid, evaluation skills let us synthesize all the information we’ve learned, understood, applied, and analyzed, and to use it to support our opinions and decisions. Now we can reflect on the data we’ve gathered and use it to make choices, cast votes, or offer informed opinions. We can evaluate the statements of others too, using these same skills. True evaluation requires us to put aside our own biases and accept that there may be other valid points of view, even if we don’t necessarily agree with them.

In the final phase, we use every one of those previous skills to create something new. This could be a proposal, an essay, a theory, a plan—anything a person assembles that’s unique.

Note: Bloom’s original taxonomy included “synthesis” as opposed to “create,” and it was located between “apply” and “evaluate.” When you synthesize, you put various parts of different ideas together to form a new whole. In 2001, a group of cognitive psychologists removed that term from the taxonomy , replacing it with “create,” but it’s part of the same concept.

How To Teach Critical Thinking

Using critical thinking in your own life is vital, but passing it along to the next generation is just as important. Be sure to focus on analyzing and evaluating, two multifaceted sets of skills that take lots and lots of practice. Start with these 10 Tips for Teaching Kids To Be Awesome Critical Thinkers . Then try these critical thinking activities and games. Finally, try to incorporate some of these 100+ Critical Thinking Questions for Students into your lessons. They’ll help your students develop the skills they need to navigate a world full of conflicting facts and provocative opinions.

One of These Things Is Not Like the Other

This classic Sesame Street activity is terrific for introducing the ideas of classifying, sorting, and finding relationships. All you need are several different objects (or pictures of objects). Lay them out in front of students, and ask them to decide which one doesn’t belong to the group. Let them be creative: The answer they come up with might not be the one you envisioned, and that’s OK!

The Answer Is …

Post an “answer” and ask kids to come up with the question. For instance, if you’re reading the book Charlotte’s Web , the answer might be “Templeton.” Students could say, “Who helped save Wilbur even though he didn’t really like him?” or “What’s the name of the rat that lived in the barn?” Backwards thinking encourages creativity and requires a good understanding of the subject matter.

Forced Analogies

Practice making connections and seeing relationships with this fun game. Kids write four random words in the corners of a Frayer Model and one more in the middle. The challenge? To link the center word to one of the others by making an analogy. The more far out the analogies, the better!

Learn more: Forced Analogies at The Owl Teacher

Primary Sources

Tired of hearing “I found it on Wikipedia!” when you ask kids where they got their answer? It’s time to take a closer look at primary sources. Show students how to follow a fact back to its original source, whether online or in print. We’ve got 10 terrific American history–based primary source activities to try here.

Science Experiments

Hands-on science experiments and STEM challenges are a surefire way to engage students, and they involve all sorts of critical thinking skills. We’ve got hundreds of experiment ideas for all ages on our STEM pages , starting with 50 Stem Activities To Help Kids Think Outside the Box .

Not the Answer

Multiple-choice questions can be a great way to work on critical thinking. Turn the questions into discussions, asking kids to eliminate wrong answers one by one. This gives them practice analyzing and evaluating, allowing them to make considered choices.

Learn more: Teaching in the Fast Lane

Correlation Tic-Tac-Toe

Here’s a fun way to work on correlation, which is a part of analysis. Show kids a 3 x 3 grid with nine pictures, and ask them to find a way to link three in a row together to get tic-tac-toe. For instance, in the pictures above, you might link together the cracked ground, the landslide, and the tsunami as things that might happen after an earthquake. Take things a step further and discuss the fact that there are other ways those things might have happened (a landslide can be caused by heavy rain, for instance), so correlation doesn’t necessarily prove causation.

Learn more: Critical Thinking Tic-Tac-Toe at The Owl Teacher

Inventions That Changed the World

Explore the chain of cause and effect with this fun thought exercise. Start it off by asking one student to name an invention they believe changed the world. Each student then follows by explaining an effect that invention had on the world and their own lives. Challenge each student to come up with something different.

Learn more: Teaching With a Mountain View

Critical Thinking Games

There are so many board games that help kids learn to question, analyze, examine, make judgments, and more. In fact, pretty much any game that doesn’t leave things entirely up to chance (Sorry, Candy Land) requires players to use critical thinking skills. See one teacher’s favorites at the link below.

Learn more: Miss DeCarbo

This is one of those classic critical thinking activities that really prepares kids for the real world. Assign a topic (or let them choose one). Then give kids time to do some research to find good sources that support their point of view. Finally, let the debate begin! Check out 100 Middle School Debate Topics , 100 High School Debate Topics , and 60 Funny Debate Topics for Kids of All Ages .

How do you teach critical thinking skills in your classroom? Come share your ideas and ask for advice in the WeAreTeachers HELPLINE group on Facebook .

Plus, check out 38 simple ways to integrate social-emotional learning throughout the day ..

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A Critical Thinking Framework for Elementary Students

Guiding young students to engage in critical thinking fosters their ability to create and engage with knowledge.

Critical thinking is using analysis and evaluation to make a judgment. Analysis, evaluation, and judgment are not discrete skills; rather, they emerge from the accumulation of knowledge. The accumulation of knowledge does not mean students sit at desks mindlessly reciting memorized information, like in 19th century grammar schools. Our goal is not for learners to regurgitate facts by rote without demonstrating their understanding of the connections, structures, and deeper ideas embedded in the content they are learning. To foster critical thinking in school, especially for our youngest learners, we need a pedagogy that centers knowledge and also honors the ability of children to engage with knowledge.

This chapter outlines the Critical Thinking Framework: five instructional approaches educators can incorporate into their instruction to nurture deeper thinking. These approaches can also guide intellectual preparation protocols and unit unpackings to prepare rigorous, engaging instruction for elementary students. Some of these approaches, such as reason with evidence, will seem similar to other “contentless” programs professing to teach critical thinking skills. But others, such as say it in your own words or look for structure, are targeted at ensuring learners soundly understand content so that they can engage in complex thinking. You will likely notice that every single one of these approaches requires students to talk—to themselves, to a partner, or to the whole class. Dialogue, specifically in the context of teacher-led discussions, is essential for students to analyze, evaluate, and judge (i.e., do critical thinking ). 

The Critical Thinking Framework

Say it in your own words : Students articulate ideas in their own words. They use unique phrasing and do not parrot the explanations of others. When learning new material, students who pause to explain concepts in their own words (to themselves or others) demonstrate an overall better understanding than students who do not (Nokes-Malach et al., 2013). However, it’s not enough for us to pause frequently and ask students to explain, especially if they are only being asked to repeat procedures. Explanations should be effortful and require students to make connections to prior knowledge and concepts as well as to revise misconceptions (Richey & Nokes-Malach, 2015).

Break it down : Students break down the components, steps, or smaller ideas within a bigger idea or procedure. In addition to expressing concepts in their own words, students should look at new concepts in terms of parts and wholes. For instance, when learning a new type of problem or task, students can explain the steps another student took to arrive at their answer, which promotes an understanding that transfers to other tasks with a similar underlying structure. Asking students to explain the components and rationale behind procedural steps can also lead to more flexible problem solving overall (Rittle-Johnson, 2006). By breaking down ideas into component parts, students are also better equipped to monitor the soundness of their own understanding as well as to see similar patterns (i.e., regularity) among differing tasks. For example, in writing, lessons can help students see how varying subordinating conjunction phrases at the start of sentences can support the flow and readability of a paragraph. In math, a solution can be broken down into smaller steps.

Look for structure : Students look beyond shallow surface characteristics to see deep structures and underlying principles. Learners struggle to see regularity in similar problems that have small differences (Reed et al., 1985). Even when students are taught how to complete one kind of task, they struggle to transfer their understanding to a new task where some of the superficial characteristics have been changed. This is because students, especially students who are novices in a domain, tend to emphasize the surface structure of a task rather than deep structure (Chi & Van Lehn, 2012).

By prompting students to notice deep structures—such as the characteristics of a genre or the needs of animals—rather than surface structures, teachers foster the development of comprehensive schemata in students’ long-term memories, which they are more likely to then apply to novel situations. Teachers should monitor for student understanding of deep structures across several tasks and examples.

Notice gaps or inconsistencies in ideas : Students ask questions about gaps and inconsistencies in material, arguments, and their own thinking . When students engage in explanations of material, they are more likely to notice when they misunderstand material or to detect a conflict with their prior knowledge (Richey & Nokes-Malach, 2015). In a classroom, analyzing conflicting ideas and interpretations allows students to revise misconceptions and refine mental models. Noticing gaps and inconsistencies in information also helps students to evaluate the persuasiveness of arguments and to ask relevant questions.

Reason with evidence : Students construct arguments with evidence and evaluate the evidence in others’ reasoning. Reasoning with evidence matters in every subject, but what counts for evidence in a mathematical proof differs from what is required in an English essay. Students should learn the rules and conventions for evidence across a wide range of disciplines in school. The habits of looking for and weighing evidence also intersect with some of the other critical thinking approaches discussed above. Noticing regularity in reasoning and structure helps learners find evidence efficiently, while attending to gaps and inconsistencies in information encourages caution before reaching hasty conclusions.

Countering Two Critiques

Some readers may be wondering how the Critical Thinking Framework differs from other general skills curricula. The framework differs in that it demands application in the context of students’ content knowledge, rather than in isolation. It is a pedagogical tool to help students make sense of the content they are learning. Students should never sit through a lesson where they are told to “say things in their own words” when there is nothing to say anything about. While a contentless lesson could help on the margins, it will not be as relevant or transferable. Specific content matters. A checklist of “critical thinking skills” cannot replace deep subject knowledge. The framework should not be blindly applied to all subjects without context because results will look quite different in an ELA or science class.

Other readers may be thinking about high-stakes tests: how does the Critical Thinking Framework fit in with an overwhelming emphasis on assessments aligned to national or state standards? This is a valid concern and an important point to address. For teachers, schools, and districts locked into an accountability system that values performance on state tests but does not communicate content expectations beyond general standards, the arguments I make may seem beside the point. Sure, knowledge matters, but the curriculum demands that students know how to quickly identify the main idea of a paragraph, even if they don’t have any background knowledge about the topic of the paragraph.

It is crucial that elementary practitioners be connected to both evolving research on learning and the limiting realities we teach within. Unfortunately, I can provide no easy answers beyond saying that teaching is a balancing act. The tension, while real and relevant to teachers’ daily lives, should not cloud our vision for what children need from their school experiences.

I also argue it is easier to incorporate the demands of our current standardized testing environment into a curriculum rich with history, science, art, geography, languages, and novels than the reverse. The Critical Thinking Framework presents ways to approach all kinds of knowledge in a way that presses students toward deeper processing of the content they are learning. If we can raise the bar for student work and thinking in our classrooms, the question of how students perform on standardized tests will become secondary to helping them achieve much loftier and important goals. The choice of whether to emphasize excellent curriculum or high-stakes tests, insofar as it is a choice at all, should never be existential or a zero-sum game.

From Critical Thinking in the Elementary Classroom: Engaging Young Minds with Meaningful Content (pp. 25–29) by Erin Shadowens, Arlington, VA: ASCD. Copyright © 2023 by ASCD. All rights reserved.

Classroom Q&A

With larry ferlazzo.

In this EdWeek blog, an experiment in knowledge-gathering, Ferlazzo will address readers’ questions on classroom management, ELL instruction, lesson planning, and other issues facing teachers. Send your questions to [email protected]. Read more from this blog.

Integrating Critical Thinking Into the Classroom

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(This is the second post in a three-part series. You can see Part One here .)

The new question-of-the-week is:

What is critical thinking and how can we integrate it into the classroom?

Part One ‘s guests were Dara Laws Savage, Patrick Brown, Meg Riordan, Ph.D., and Dr. PJ Caposey. Dara, Patrick, and Meg were also guests on my 10-minute BAM! Radio Show . You can also find a list of, and links to, previous shows here.

Today, Dr. Kulvarn Atwal, Elena Quagliarello, Dr. Donna Wilson, and Diane Dahl share their recommendations.

‘Learning Conversations’

Dr. Kulvarn Atwal is currently the executive head teacher of two large primary schools in the London borough of Redbridge. Dr. Atwal is the author of The Thinking School: Developing a Dynamic Learning Community , published by John Catt Educational. Follow him on Twitter @Thinkingschool2 :

In many classrooms I visit, students’ primary focus is on what they are expected to do and how it will be measured. It seems that we are becoming successful at producing students who are able to jump through hoops and pass tests. But are we producing children that are positive about teaching and learning and can think critically and creatively? Consider your classroom environment and the extent to which you employ strategies that develop students’ critical-thinking skills and their self-esteem as learners.

Development of self-esteem

One of the most significant factors that impacts students’ engagement and achievement in learning in your classroom is their self-esteem. In this context, self-esteem can be viewed to be the difference between how they perceive themselves as a learner (perceived self) and what they consider to be the ideal learner (ideal self). This ideal self may reflect the child that is associated or seen to be the smartest in the class. Your aim must be to raise students’ self-esteem. To do this, you have to demonstrate that effort, not ability, leads to success. Your language and interactions in the classroom, therefore, have to be aspirational—that if children persist with something, they will achieve.

Use of evaluative praise

Ensure that when you are praising students, you are making explicit links to a child’s critical thinking and/or development. This will enable them to build their understanding of what factors are supporting them in their learning. For example, often when we give feedback to students, we may simply say, “Well done” or “Good answer.” However, are the students actually aware of what they did well or what was good about their answer? Make sure you make explicit what the student has done well and where that links to prior learning. How do you value students’ critical thinking—do you praise their thinking and demonstrate how it helps them improve their learning?

Learning conversations to encourage deeper thinking

We often feel as teachers that we have to provide feedback to every students’ response, but this can limit children’s thinking. Encourage students in your class to engage in learning conversations with each other. Give as many opportunities as possible to students to build on the responses of others. Facilitate chains of dialogue by inviting students to give feedback to each other. The teacher’s role is, therefore, to facilitate this dialogue and select each individual student to give feedback to others. It may also mean that you do not always need to respond at all to a student’s answer.

Teacher modelling own thinking

We cannot expect students to develop critical-thinking skills if we aren’t modeling those thinking skills for them. Share your creativity, imagination, and thinking skills with the students and you will nurture creative, imaginative critical thinkers. Model the language you want students to learn and think about. Share what you feel about the learning activities your students are participating in as well as the thinking you are engaging in. Your own thinking and learning will add to the discussions in the classroom and encourage students to share their own thinking.

Metacognitive questioning

Consider the extent to which your questioning encourages students to think about their thinking, and therefore, learn about learning! Through asking metacognitive questions, you will enable your students to have a better understanding of the learning process, as well as their own self-reflections as learners. Example questions may include:

• Why did you choose to do it that way?
• When you find something tricky, what helps you?
• How do you know when you have really learned something?

‘Adventures of Discovery’

Elena Quagliarello is the senior editor of education for Scholastic News , a current events magazine for students in grades 3–6. She graduated from Rutgers University, where she studied English and earned her master’s degree in elementary education. She is a certified K–12 teacher and previously taught middle school English/language arts for five years:

Critical thinking blasts through the surface level of a topic. It reaches beyond the who and the what and launches students on a learning journey that ultimately unlocks a deeper level of understanding. Teaching students how to think critically helps them turn information into knowledge and knowledge into wisdom. In the classroom, critical thinking teaches students how to ask and answer the questions needed to read the world. Whether it’s a story, news article, photo, video, advertisement, or another form of media, students can use the following critical-thinking strategies to dig beyond the surface and uncover a wealth of knowledge.

A Layered Learning Approach

Begin by having students read a story, article, or analyze a piece of media. Then have them excavate and explore its various layers of meaning. First, ask students to think about the literal meaning of what they just read. For example, if students read an article about the desegregation of public schools during the 1950s, they should be able to answer questions such as: Who was involved? What happened? Where did it happen? Which details are important? This is the first layer of critical thinking: reading comprehension. Do students understand the passage at its most basic level?

Ask the Tough Questions

The next layer delves deeper and starts to uncover the author’s purpose and craft. Teach students to ask the tough questions: What information is included? What or who is left out? How does word choice influence the reader? What perspective is represented? What values or people are marginalized? These questions force students to critically analyze the choices behind the final product. In today’s age of fast-paced, easily accessible information, it is essential to teach students how to critically examine the information they consume. The goal is to equip students with the mindset to ask these questions on their own.

Strike Gold

The deepest layer of critical thinking comes from having students take a step back to think about the big picture. This level of thinking is no longer focused on the text itself but rather its real-world implications. Students explore questions such as: Why does this matter? What lesson have I learned? How can this lesson be applied to other situations? Students truly engage in critical thinking when they are able to reflect on their thinking and apply their knowledge to a new situation. This step has the power to transform knowledge into wisdom.

Adventures of Discovery

There are vast ways to spark critical thinking in the classroom. Here are a few other ideas:

• Critical Expressionism: In this expanded response to reading from a critical stance, students are encouraged to respond through forms of artistic interpretations, dramatizations, singing, sketching, designing projects, or other multimodal responses. For example, students might read an article and then create a podcast about it or read a story and then act it out.
• Transmediations: This activity requires students to take an article or story and transform it into something new. For example, they might turn a news article into a cartoon or turn a story into a poem. Alternatively, students may rewrite a story by changing some of its elements, such as the setting or time period.
• Words Into Action: In this type of activity, students are encouraged to take action and bring about change. Students might read an article about endangered orangutans and the effects of habitat loss caused by deforestation and be inspired to check the labels on products for palm oil. They might then write a letter asking companies how they make sure the palm oil they use doesn’t hurt rain forests.
• Socratic Seminars: In this student-led discussion strategy, students pose thought-provoking questions to each other about a topic. They listen closely to each other’s comments and think critically about different perspectives.
• Classroom Debates: Aside from sparking a lively conversation, classroom debates naturally embed critical-thinking skills by asking students to formulate and support their own opinions and consider and respond to opposing viewpoints.

Critical thinking has the power to launch students on unforgettable learning experiences while helping them develop new habits of thought, reflection, and inquiry. Developing these skills prepares students to examine issues of power and promote transformative change in the world around them.

‘Quote Analysis’

Dr. Donna Wilson is a psychologist and the author of 20 books, including Developing Growth Mindsets , Teaching Students to Drive Their Brains , and Five Big Ideas for Effective Teaching (2 nd Edition). She is an international speaker who has worked in Asia, the Middle East, Australia, Europe, Jamaica, and throughout the U.S. and Canada. Dr. Wilson can be reached at [email protected] ; visit her website at www.brainsmart.org .

Diane Dahl has been a teacher for 13 years, having taught grades 2-4 throughout her career. Mrs. Dahl currently teaches 3rd and 4th grade GT-ELAR/SS in Lovejoy ISD in Fairview, Texas. Follow her on Twitter at @DahlD, and visit her website at www.fortheloveofteaching.net :

A growing body of research over the past several decades indicates that teaching students how to be better thinkers is a great way to support them to be more successful at school and beyond. In the book, Teaching Students to Drive Their Brains , Dr. Wilson shares research and many motivational strategies, activities, and lesson ideas that assist students to think at higher levels. Five key strategies from the book are as follows:

• Facilitate conversation about why it is important to think critically at school and in other contexts of life. Ideally, every student will have a contribution to make to the discussion over time.
• Begin teaching thinking skills early in the school year and as a daily part of class.
• As this instruction begins, introduce students to the concept of brain plasticity and how their brilliant brains change during thinking and learning. This can be highly motivational for students who do not yet believe they are good thinkers!
• Explicitly teach students how to use the thinking skills.
• Facilitate student understanding of how the thinking skills they are learning relate to their lives at school and in other contexts.

Below are two lessons that support critical thinking, which can be defined as the objective analysis and evaluation of an issue in order to form a judgment.

Mrs. Dahl prepares her 3rd and 4th grade classes for a year of critical thinking using quote analysis .

During Native American studies, her 4 th grade analyzes a Tuscarora quote: “Man has responsibility, not power.” Since students already know how the Native Americans’ land had been stolen, it doesn’t take much for them to make the logical leaps. Critical-thought prompts take their thinking even deeper, especially at the beginning of the year when many need scaffolding. Some prompts include:

• … from the point of view of the Native Americans?
• … from the point of view of the settlers?
• How do you think your life might change over time as a result?
• Can you relate this quote to anything else in history?

Analyzing a topic from occupational points of view is an incredibly powerful critical-thinking tool. After learning about the Mexican-American War, Mrs. Dahl’s students worked in groups to choose an occupation with which to analyze the war. The chosen occupations were: anthropologist, mathematician, historian, archaeologist, cartographer, and economist. Then each individual within each group chose a different critical-thinking skill to focus on. Finally, they worked together to decide how their occupation would view the war using each skill.

For example, here is what each student in the economist group wrote:

• When U.S.A. invaded Mexico for land and won, Mexico ended up losing income from the settlements of Jose de Escandon. The U.S.A. thought that they were gaining possible tradable land, while Mexico thought that they were losing precious land and resources.
• Whenever Texas joined the states, their GDP skyrocketed. Then they went to war and spent money on supplies. When the war was resolving, Texas sold some of their land to New Mexico for $10 million. This allowed Texas to pay off their debt to the U.S., improving their relationship.
• A detail that converged into the Mexican-American War was that Mexico and the U.S. disagreed on the Texas border. With the resulting treaty, Texas ended up gaining more land and economic resources.
• Texas gained land from Mexico since both countries disagreed on borders. Texas sold land to New Mexico, which made Texas more economically structured and allowed them to pay off their debt.

This was the first time that students had ever used the occupations technique. Mrs. Dahl was astonished at how many times the kids used these critical skills in other areas moving forward.

Thanks to Dr. Auwal, Elena, Dr. Wilson, and Diane for their contributions!

Please feel free to leave a comment with your reactions to the topic or directly to anything that has been said in this post.

Consider contributing a question to be answered in a future post. You can send one to me at [email protected] . When you send it in, let me know if I can use your real name if it’s selected or if you’d prefer remaining anonymous and have a pseudonym in mind.

You can also contact me on Twitter at @Larryferlazzo .

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Our Conception of Critical Thinking...

"Critical thinking is the intellectually disciplined process of actively and skillfully conceptualizing, applying, analyzing, synthesizing, and/or evaluating information gathered from, or generated by, observation, experience, reflection, reasoning, or communication, as a guide to belief and action. In its exemplary form, it is based on universal intellectual values that transcend subject matter divisions: clarity, accuracy, precision, consistency, relevance, sound evidence, good reasons, depth, breadth, and fairness..."

"Critical thinking is self-guided, self-disciplined thinking which attempts to reason at the highest level of quality in a fairminded way. People who think critically attempt, with consistent and conscious effort, to live rationally, reasonably, and empathically. They are keenly aware of the inherently flawed nature of human thinking when left unchecked. They strive to diminish the power of their egocentric and sociocentric tendencies. They use the intellectual tools that critical thinking offers – concepts and principles that enable them to analyze, assess, and improve thinking. They work diligently to develop the intellectual virtues of intellectual integrity, intellectual humility, intellectual civility, intellectual empathy, intellectual sense of justice and confidence in reason. They realize that no matter how skilled they are as thinkers, they can always improve their reasoning abilities and they will at times fall prey to mistakes in reasoning, human irrationality, prejudices, biases, distortions, uncritically accepted social rules and taboos, self-interest, and vested interest.

They strive to improve the world in whatever ways they can and contribute to a more rational, civilized society. At the same time, they recognize the complexities often inherent in doing so. They strive never to think simplistically about complicated issues and always to consider the rights and needs of relevant others. They recognize the complexities in developing as thinkers, and commit themselves to life-long practice toward self-improvement. They embody the Socratic principle: The unexamined life is not worth living , because they realize that many unexamined lives together result in an uncritical, unjust, dangerous world."

Why Critical Thinking?

The Problem:

Everyone thinks; it is our nature to do so. But much of our thinking, left to itself, is biased, distorted, partial, uninformed, or down-right prejudiced. Yet the quality of our lives and that of what we produce, make, or build depends precisely on the quality of our thought. Shoddy thinking is costly, both in money and in quality of life. Excellence in thought, however, must be systematically cultivated.

A Brief Definition:

Critical thinking is the art of analyzing and evaluating thinking with a view to improving it. The Result: 

  A well-cultivated critical thinker:

• raises vital questions and problems, formulating them clearly and precisely;
• gathers and assesses relevant information, using abstract ideas to interpret it effectively;
• comes to well-reasoned conclusions and solutions, testing them against relevant criteria and standards;
• thinks openmindedly within alternative systems of thought, recognizing and assessing, as need be, their assumptions, implications, and practical consequences; and
• communicates effectively with others in figuring out solutions to complex problems.

Critical thinking is, in short, self-directed, self-disciplined, self-monitored, and self-corrective thinking. It requires rigorous standards of excellence and mindful command of their use. It entails effective communication and problem-solving abilities, and a commitment to overcoming our native egocentrism and sociocentrism. Read more about our concept of critical thinking .

The Essential Dimensions of Critical Thinking

Our conception of critical thinking is based on the substantive approach developed by Dr. Richard Paul and his colleagues at the Center and Foundation for Critical Thinking over multiple decades. It is relevant to every subject, discipline, and profession, and to reasoning through the problems of everyday life. It entails five essential dimensions of critical thinking:

At the left is an overview of the first three dimensions. In sum, the elements or structures of thought enable us to "take our thinking apart" and analyze it. The intellectual standards are used to assess and evaluate the elements. The intellectual traits are dispositions of mind embodied by the fairminded critical thinker. To cultivate the mind, we need command of these essential dimensions, and we need to consistently apply them as we think through the many problems and issues in our lives.

The Elements of Reasoning and Intellectual Standards

To learn more about the elements of thought and how to apply the intellectual standards, check out our interactive model. Simply click on the link below, scroll to the bottom of the page, and explore the model with your mouse.

Why the Analysis of Thinking Is Important If you want to think well, you must understand at least the rudiments of thought, the most basic structures out of which all thinking is made. You must learn how to take thinking apart. Analyzing the Logic of a Subject When we understand the elements of reasoning, we realize that all subjects, all disciplines, have a fundamental logic defined by the structures of thought embedded within them. Therefore, to lay bare a subject’s most fundamental logic, we should begin with these questions:

Going Deeper...

The Critical Thinking Bookstore  

Our online bookstore houses numerous books and teacher's manuals , Thinker's Guides , videos , and other educational materials .  

Learn From Our Fellows and Scholars

Watch our Event Calendar , which provides an overview of all upcoming conferences and academies hosted by the Foundation for Critical Thinking. Clicking an entry on the Event Calendar will bring up that event's details, and the option to register. For those interested in online learning, the Foundation offers accredited online courses in critical thinking for both educators and the general public, as well as an online test for evaluating basic comprehension of critical thinking concepts . We are in the process of developing more online learning tools and tests to offer the community.  

Utilizing this Website

This website contains large amounts research and an online library of articles , both of which are freely available to the public. We also invite you to become a member of the Critical Thinking Community , where you will gain access to more tools and materials.  If you cannot locate a resource on a specific topic or concept, try searching for it using our Search Tool . The Search Tool is at the upper-right of every page on the website.

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Introduction to Logic and Critical Thinking

(10 reviews)

Matthew Van Cleave, Lansing Community College

Copyright Year: 2016

Publisher: Matthew J. Van Cleave

Language: English

Formats Available

Conditions of use.

Learn more about reviews.

Reviewed by "yusef" Alexander Hayes, Professor, North Shore Community College on 6/9/21

Formal and informal reasoning, argument structure, and fallacies are covered comprehensively, meeting the author's goal of both depth and succinctness. read more

Comprehensiveness rating: 5 see less

Formal and informal reasoning, argument structure, and fallacies are covered comprehensively, meeting the author's goal of both depth and succinctness.

Content Accuracy rating: 5

The book is accurate.

Relevance/Longevity rating: 5

While many modern examples are used, and they are helpful, they are not necessarily needed. The usefulness of logical principles and skills have proved themselves, and this text presents them clearly with many examples.

Clarity rating: 5

It is obvious that the author cares about their subject, audience, and students. The text is comprehensible and interesting.

Consistency rating: 5

The format is easy to understand and is consistent in framing.

Modularity rating: 5

This text would be easy to adapt.

Organization/Structure/Flow rating: 5

The organization is excellent, my one suggestion would be a concluding chapter.

Interface rating: 5

I accessed the PDF version and it would be easy to work with.

Grammatical Errors rating: 5

The writing is excellent.

Cultural Relevance rating: 5

This is not an offensive text.

Reviewed by Susan Rottmann, Part-time Lecturer, University of Southern Maine on 3/2/21

I reviewed this book for a course titled "Creative and Critical Inquiry into Modern Life." It won't meet all my needs for that course, but I haven't yet found a book that would. I wanted to review this one because it states in the preface that it... read more

Comprehensiveness rating: 4 see less

I reviewed this book for a course titled "Creative and Critical Inquiry into Modern Life." It won't meet all my needs for that course, but I haven't yet found a book that would. I wanted to review this one because it states in the preface that it fits better for a general critical thinking course than for a true logic course. I'm not sure that I'd agree. I have been using Browne and Keeley's "Asking the Right Questions: A Guide to Critical Thinking," and I think that book is a better introduction to critical thinking for non-philosophy majors. However, the latter is not open source so I will figure out how to get by without it in the future. Overall, the book seems comprehensive if the subject is logic. The index is on the short-side, but fine. However, one issue for me is that there are no page numbers on the table of contents, which is pretty annoying if you want to locate particular sections.

Content Accuracy rating: 4

I didn't find any errors. In general the book uses great examples. However, they are very much based in the American context, not for an international student audience. Some effort to broaden the chosen examples would make the book more widely applicable.

Relevance/Longevity rating: 4

I think the book will remain relevant because of the nature of the material that it addresses, however there will be a need to modify the examples in future editions and as the social and political context changes.

Clarity rating: 3

The text is lucid, but I think it would be difficult for introductory-level students who are not philosophy majors. For example, in Browne and Keeley's "Asking the Right Questions: A Guide to Critical Thinking," the sub-headings are very accessible, such as "Experts cannot rescue us, despite what they say" or "wishful thinking: perhaps the biggest single speed bump on the road to critical thinking." By contrast, Van Cleave's "Introduction to Logic and Critical Thinking" has more subheadings like this: "Using your own paraphrases of premises and conclusions to reconstruct arguments in standard form" or "Propositional logic and the four basic truth functional connectives." If students are prepared very well for the subject, it would work fine, but for students who are newly being introduced to critical thinking, it is rather technical.

It seems to be very consistent in terms of its terminology and framework.

Modularity rating: 4

The book is divided into 4 chapters, each having many sub-chapters. In that sense, it is readily divisible and modular. However, as noted above, there are no page numbers on the table of contents, which would make assigning certain parts rather frustrating. Also, I'm not sure why the book is only four chapter and has so many subheadings (for instance 17 in Chapter 2) and a length of 242 pages. Wouldn't it make more sense to break up the book into shorter chapters? I think this would make it easier to read and to assign in specific blocks to students.

Organization/Structure/Flow rating: 4

The organization of the book is fine overall, although I think adding page numbers to the table of contents and breaking it up into more separate chapters would help it to be more easily navigable.

Interface rating: 4

The book is very simply presented. In my opinion it is actually too simple. There are few boxes or diagrams that highlight and explain important points.

The text seems fine grammatically. I didn't notice any errors.

The book is written with an American audience in mind, but I did not notice culturally insensitive or offensive parts.

Overall, this book is not for my course, but I think it could work well in a philosophy course.

Reviewed by Daniel Lee, Assistant Professor of Economics and Leadership, Sweet Briar College on 11/11/19

This textbook is not particularly comprehensive (4 chapters long), but I view that as a benefit. In fact, I recommend it for use outside of traditional logic classes, but rather interdisciplinary classes that evaluate argument read more

Comprehensiveness rating: 3 see less

This textbook is not particularly comprehensive (4 chapters long), but I view that as a benefit. In fact, I recommend it for use outside of traditional logic classes, but rather interdisciplinary classes that evaluate argument

To the best of my ability, I regard this content as accurate, error-free, and unbiased

The book is broadly relevant and up-to-date, with a few stray temporal references (sydney olympics, particular presidencies). I don't view these time-dated examples as problematic as the logical underpinnings are still there and easily assessed

Clarity rating: 4

My only pushback on clarity is I didn't find the distinction between argument and explanation particularly helpful/useful/easy to follow. However, this experience may have been unique to my class.

To the best of my ability, I regard this content as internally consistent

I found this text quite modular, and was easily able to integrate other texts into my lessons and disregard certain chapters or sub-sections

The book had a logical and consistent structure, but to the extent that there are only 4 chapters, there isn't much scope for alternative approaches here

No problems with the book's interface

The text is grammatically sound

Cultural Relevance rating: 4

Perhaps the text could have been more universal in its approach. While I didn't find the book insensitive per-se, logic can be tricky here because the point is to evaluate meaningful (non-trivial) arguments, but any argument with that sense of gravity can also be traumatic to students (abortion, death penalty, etc)

No additional comments

Reviewed by Lisa N. Thomas-Smith, Graduate Part-time Instructor, CU Boulder on 7/1/19

The text covers all the relevant technical aspects of introductory logic and critical thinking, and covers them well. A separate glossary would be quite helpful to students. However, the terms are clearly and thoroughly explained within the text,... read more

The text covers all the relevant technical aspects of introductory logic and critical thinking, and covers them well. A separate glossary would be quite helpful to students. However, the terms are clearly and thoroughly explained within the text, and the index is very thorough.

The content is excellent. The text is thorough and accurate with no errors that I could discern. The terminology and exercises cover the material nicely and without bias.

The text should easily stand the test of time. The exercises are excellent and would be very helpful for students to internalize correct critical thinking practices. Because of the logical arrangement of the text and the many sub-sections, additional material should be very easy to add.

The text is extremely clearly and simply written. I anticipate that a diligent student could learn all of the material in the text with little additional instruction. The examples are relevant and easy to follow.

The text did not confuse terms or use inconsistent terminology, which is very important in a logic text. The discipline often uses multiple terms for the same concept, but this text avoids that trap nicely.

The text is fairly easily divisible. Since there are only four chapters, those chapters include large blocks of information. However, the chapters themselves are very well delineated and could be easily broken up so that parts could be left out or covered in a different order from the text.

The flow of the text is excellent. All of the information is handled solidly in an order that allows the student to build on the information previously covered.

The PDF Table of Contents does not include links or page numbers which would be very helpful for navigation. Other than that, the text was very easy to navigate. All the images, charts, and graphs were very clear

I found no grammatical errors in the text.

Cultural Relevance rating: 3

The text including examples and exercises did not seem to be offensive or insensitive in any specific way. However, the examples included references to black and white people, but few others. Also, the text is very American specific with many examples from and for an American audience. More diversity, especially in the examples, would be appropriate and appreciated.

Reviewed by Leslie Aarons, Associate Professor of Philosophy, CUNY LaGuardia Community College on 5/16/19

This is an excellent introductory (first-year) Logic and Critical Thinking textbook. The book covers the important elementary information, clearly discussing such things as the purpose and basic structure of an argument; the difference between an... read more

This is an excellent introductory (first-year) Logic and Critical Thinking textbook. The book covers the important elementary information, clearly discussing such things as the purpose and basic structure of an argument; the difference between an argument and an explanation; validity; soundness; and the distinctions between an inductive and a deductive argument in accessible terms in the first chapter. It also does a good job introducing and discussing informal fallacies (Chapter 4). The incorporation of opportunities to evaluate real-world arguments is also very effective. Chapter 2 also covers a number of formal methods of evaluating arguments, such as Venn Diagrams and Propositional logic and the four basic truth functional connectives, but to my mind, it is much more thorough in its treatment of Informal Logic and Critical Thinking skills, than it is of formal logic. I also appreciated that Van Cleave’s book includes exercises with answers and an index, but there is no glossary; which I personally do not find detracts from the book's comprehensiveness.

Overall, Van Cleave's book is error-free and unbiased. The language used is accessible and engaging. There were no glaring inaccuracies that I was able to detect.

Van Cleave's Textbook uses relevant, contemporary content that will stand the test of time, at least for the next few years. Although some examples use certain subjects like former President Obama, it does so in a useful manner that inspires the use of critical thinking skills. There are an abundance of examples that inspire students to look at issues from many different political viewpoints, challenging students to practice evaluating arguments, and identifying fallacies. Many of these exercises encourage students to critique issues, and recognize their own inherent reader-biases and challenge their own beliefs--hallmarks of critical thinking.

As mentioned previously, the author has an accessible style that makes the content relatively easy to read and engaging. He also does a suitable job explaining jargon/technical language that is introduced in the textbook.

Van Cleave uses terminology consistently and the chapters flow well. The textbook orients the reader by offering effective introductions to new material, step-by-step explanations of the material, as well as offering clear summaries of each lesson.

This textbook's modularity is really quite good. Its language and structure are not overly convoluted or too-lengthy, making it convenient for individual instructors to adapt the materials to suit their methodological preferences.

The topics in the textbook are presented in a logical and clear fashion. The structure of the chapters are such that it is not necessary to have to follow the chapters in their sequential order, and coverage of material can be adapted to individual instructor's preferences.

The textbook is free of any problematic interface issues. Topics, sections and specific content are accessible and easy to navigate. Overall it is user-friendly.

I did not find any significant grammatical issues with the textbook.

The textbook is not culturally insensitive, making use of a diversity of inclusive examples. Materials are especially effective for first-year critical thinking/logic students.

I intend to adopt Van Cleave's textbook for a Critical Thinking class I am teaching at the Community College level. I believe that it will help me facilitate student-learning, and will be a good resource to build additional classroom activities from the materials it provides.

Reviewed by Jennie Harrop, Chair, Department of Professional Studies, George Fox University on 3/27/18

While the book is admirably comprehensive, its extensive details within a few short chapters may feel overwhelming to students. The author tackles an impressive breadth of concepts in Chapter 1, 2, 3, and 4, which leads to 50-plus-page chapters... read more

While the book is admirably comprehensive, its extensive details within a few short chapters may feel overwhelming to students. The author tackles an impressive breadth of concepts in Chapter 1, 2, 3, and 4, which leads to 50-plus-page chapters that are dense with statistical analyses and critical vocabulary. These topics are likely better broached in manageable snippets rather than hefty single chapters.

The ideas addressed in Introduction to Logic and Critical Thinking are accurate but at times notably political. While politics are effectively used to exemplify key concepts, some students may be distracted by distinct political leanings.

The terms and definitions included are relevant, but the examples are specific to the current political, cultural, and social climates, which could make the materials seem dated in a few years without intentional and consistent updates.

While the reasoning is accurate, the author tends to complicate rather than simplify -- perhaps in an effort to cover a spectrum of related concepts. Beginning readers are likely to be overwhelmed and under-encouraged by his approach.

Consistency rating: 3

The four chapters are somewhat consistent in their play of definition, explanation, and example, but the structure of each chapter varies according to the concepts covered. In the third chapter, for example, key ideas are divided into sub-topics numbering from 3.1 to 3.10. In the fourth chapter, the sub-divisions are further divided into sub-sections numbered 4.1.1-4.1.5, 4.2.1-4.2.2, and 4.3.1 to 4.3.6. Readers who are working quickly to master new concepts may find themselves mired in similarly numbered subheadings, longing for a grounded concepts on which to hinge other key principles.

Modularity rating: 3

The book's four chapters make it mostly self-referential. The author would do well to beak this text down into additional subsections, easing readers' accessibility.

The content of the book flows logically and well, but the information needs to be better sub-divided within each larger chapter, easing the student experience.

The book's interface is effective, allowing readers to move from one section to the next with a single click. Additional sub-sections would ease this interplay even further.

Grammatical Errors rating: 4

Some minor errors throughout.

For the most part, the book is culturally neutral, avoiding direct cultural references in an effort to remain relevant.

Reviewed by Yoichi Ishida, Assistant Professor of Philosophy, Ohio University on 2/1/18

This textbook covers enough topics for a first-year course on logic and critical thinking. Chapter 1 covers the basics as in any standard textbook in this area. Chapter 2 covers propositional logic and categorical logic. In propositional logic,... read more

This textbook covers enough topics for a first-year course on logic and critical thinking. Chapter 1 covers the basics as in any standard textbook in this area. Chapter 2 covers propositional logic and categorical logic. In propositional logic, this textbook does not cover suppositional arguments, such as conditional proof and reductio ad absurdum. But other standard argument forms are covered. Chapter 3 covers inductive logic, and here this textbook introduces probability and its relationship with cognitive biases, which are rarely discussed in other textbooks. Chapter 4 introduces common informal fallacies. The answers to all the exercises are given at the end. However, the last set of exercises is in Chapter 3, Section 5. There are no exercises in the rest of the chapter. Chapter 4 has no exercises either. There is index, but no glossary.

The textbook is accurate.

The content of this textbook will not become obsolete soon.

The textbook is written clearly.

The textbook is internally consistent.

The textbook is fairly modular. For example, Chapter 3, together with a few sections from Chapter 1, can be used as a short introduction to inductive logic.

The textbook is well-organized.

There are no interface issues.

I did not find any grammatical errors.

This textbook is relevant to a first semester logic or critical thinking course.

Reviewed by Payal Doctor, Associate Professro, LaGuardia Community College on 2/1/18

This text is a beginner textbook for arguments and propositional logic. It covers the basics of identifying arguments, building arguments, and using basic logic to construct propositions and arguments. It is quite comprehensive for a beginner... read more

This text is a beginner textbook for arguments and propositional logic. It covers the basics of identifying arguments, building arguments, and using basic logic to construct propositions and arguments. It is quite comprehensive for a beginner book, but seems to be a good text for a course that needs a foundation for arguments. There are exercises on creating truth tables and proofs, so it could work as a logic primer in short sessions or with the addition of other course content.

The books is accurate in the information it presents. It does not contain errors and is unbiased. It covers the essential vocabulary clearly and givens ample examples and exercises to ensure the student understands the concepts

The content of the book is up to date and can be easily updated. Some examples are very current for analyzing the argument structure in a speech, but for this sort of text understandable examples are important and the author uses good examples.

The book is clear and easy to read. In particular, this is a good text for community college students who often have difficulty with reading comprehension. The language is straightforward and concepts are well explained.

The book is consistent in terminology, formatting, and examples. It flows well from one topic to the next, but it is also possible to jump around the text without loosing the voice of the text.

The books is broken down into sub units that make it easy to assign short blocks of content at a time. Later in the text, it does refer to a few concepts that appear early in that text, but these are all basic concepts that must be used to create a clear and understandable text. No sections are too long and each section stays on topic and relates the topic to those that have come before when necessary.

The flow of the text is logical and clear. It begins with the basic building blocks of arguments, and practice identifying more and more complex arguments is offered. Each chapter builds up from the previous chapter in introducing propositional logic, truth tables, and logical arguments. A select number of fallacies are presented at the end of the text, but these are related to topics that were presented before, so it makes sense to have these last.

The text is free if interface issues. I used the PDF and it worked fine on various devices without loosing formatting.

1. The book contains no grammatical errors.

The text is culturally sensitive, but examples used are a bit odd and may be objectionable to some students. For instance, President Obama's speech on Syria is used to evaluate an extended argument. This is an excellent example and it is explained well, but some who disagree with Obama's policies may have trouble moving beyond their own politics. However, other examples look at issues from all political viewpoints and ask students to evaluate the argument, fallacy, etc. and work towards looking past their own beliefs. Overall this book does use a variety of examples that most students can understand and evaluate.

My favorite part of this book is that it seems to be written for community college students. My students have trouble understanding readings in the New York Times, so it is nice to see a logic and critical thinking text use real language that students can understand and follow without the constant need of a dictionary.

Reviewed by Rebecca Owen, Adjunct Professor, Writing, Chemeketa Community College on 6/20/17

This textbook is quite thorough--there are conversational explanations of argument structure and logic. I think students will be happy with the conversational style this author employs. Also, there are many examples and exercises using current... read more

This textbook is quite thorough--there are conversational explanations of argument structure and logic. I think students will be happy with the conversational style this author employs. Also, there are many examples and exercises using current events, funny scenarios, or other interesting ways to evaluate argument structure and validity. The third section, which deals with logical fallacies, is very clear and comprehensive. My only critique of the material included in the book is that the middle section may be a bit dense and math-oriented for learners who appreciate the more informal, informative style of the first and third section. Also, the book ends rather abruptly--it moves from a description of a logical fallacy to the answers for the exercises earlier in the text.

The content is very reader-friendly, and the author writes with authority and clarity throughout the text. There are a few surface-level typos (Starbuck's instead of Starbucks, etc.). None of these small errors detract from the quality of the content, though.

One thing I really liked about this text was the author's wide variety of examples. To demonstrate different facets of logic, he used examples from current media, movies, literature, and many other concepts that students would recognize from their daily lives. The exercises in this text also included these types of pop-culture references, and I think students will enjoy the familiarity--as well as being able to see the logical structures behind these types of references. I don't think the text will need to be updated to reflect new instances and occurrences; the author did a fine job at picking examples that are relatively timeless. As far as the subject matter itself, I don't think it will become obsolete any time soon.

The author writes in a very conversational, easy-to-read manner. The examples used are quite helpful. The third section on logical fallacies is quite easy to read, follow, and understand. A student in an argument writing class could benefit from this section of the book. The middle section is less clear, though. A student learning about the basics of logic might have a hard time digesting all of the information contained in chapter two. This material might be better in two separate chapters. I think the author loses the balance of a conversational, helpful tone and focuses too heavily on equations.

Consistency rating: 4

Terminology in this book is quite consistent--the key words are highlighted in bold. Chapters 1 and 3 follow a similar organizational pattern, but chapter 2 is where the material becomes more dense and equation-heavy. I also would have liked a closing passage--something to indicate to the reader that we've reached the end of the chapter as well as the book.

I liked the overall structure of this book. If I'm teaching an argumentative writing class, I could easily point the students to the chapters where they can identify and practice identifying fallacies, for instance. The opening chapter is clear in defining the necessary terms, and it gives the students an understanding of the toolbox available to them in assessing and evaluating arguments. Even though I found the middle section to be dense, smaller portions could be assigned.

The author does a fine job connecting each defined term to the next. He provides examples of how each defined term works in a sentence or in an argument, and then he provides practice activities for students to try. The answers for each question are listed in the final pages of the book. The middle section feels like the heaviest part of the whole book--it would take the longest time for a student to digest if assigned the whole chapter. Even though this middle section is a bit heavy, it does fit the overall structure and flow of the book. New material builds on previous chapters and sub-chapters. It ends abruptly--I didn't realize that it had ended, and all of a sudden I found myself in the answer section for those earlier exercises.

The simple layout is quite helpful! There is nothing distracting, image-wise, in this text. The table of contents is clearly arranged, and each topic is easy to find.

Tiny edits could be made (Starbuck's/Starbucks, for one). Otherwise, it is free of distracting grammatical errors.

This text is quite culturally relevant. For instance, there is one example that mentions the rumors of Barack Obama's birthplace as somewhere other than the United States. This example is used to explain how to analyze an argument for validity. The more "sensational" examples (like the Obama one above) are helpful in showing argument structure, and they can also help students see how rumors like this might gain traction--as well as help to show students how to debunk them with their newfound understanding of argument and logic.

The writing style is excellent for the subject matter, especially in the third section explaining logical fallacies. Thank you for the opportunity to read and review this text!

Reviewed by Laurel Panser, Instructor, Riverland Community College on 6/20/17

This is a review of Introduction to Logic and Critical Thinking, an open source book version 1.4 by Matthew Van Cleave. The comparison book used was Patrick J. Hurley’s A Concise Introduction to Logic 12th Edition published by Cengage as well as... read more

This is a review of Introduction to Logic and Critical Thinking, an open source book version 1.4 by Matthew Van Cleave. The comparison book used was Patrick J. Hurley’s A Concise Introduction to Logic 12th Edition published by Cengage as well as the 13th edition with the same title. Lori Watson is the second author on the 13th edition.

Competing with Hurley is difficult with respect to comprehensiveness. For example, Van Cleave’s book is comprehensive to the extent that it probably covers at least two-thirds or more of what is dealt with in most introductory, one-semester logic courses. Van Cleave’s chapter 1 provides an overview of argumentation including discerning non-arguments from arguments, premises versus conclusions, deductive from inductive arguments, validity, soundness and more. Much of Van Cleave’s chapter 1 parallel’s Hurley’s chapter 1. Hurley’s chapter 3 regarding informal fallacies is comprehensive while Van Cleave’s chapter 4 on this topic is less extensive. Categorical propositions are a topic in Van Cleave’s chapter 2; Hurley’s chapters 4 and 5 provide more instruction on this, however. Propositional logic is another topic in Van Cleave’s chapter 2; Hurley’s chapters 6 and 7 provide more information on this, though. Van Cleave did discuss messy issues of language meaning briefly in his chapter 1; that is the topic of Hurley’s chapter 2.

Van Cleave’s book includes exercises with answers and an index. A glossary was not included.

Reviews of open source textbooks typically include criteria besides comprehensiveness. These include comments on accuracy of the information, whether the book will become obsolete soon, jargon-free clarity to the extent that is possible, organization, navigation ease, freedom from grammar errors and cultural relevance; Van Cleave’s book is fine in all of these areas. Further criteria for open source books includes modularity and consistency of terminology. Modularity is defined as including blocks of learning material that are easy to assign to students. Hurley’s book has a greater degree of modularity than Van Cleave’s textbook. The prose Van Cleave used is consistent.

Van Cleave’s book will not become obsolete soon.

Van Cleave’s book has accessible prose.

Van Cleave used terminology consistently.

Van Cleave’s book has a reasonable degree of modularity.

Van Cleave’s book is organized. The structure and flow of his book is fine.

Problems with navigation are not present.

Grammar problems were not present.

Van Cleave’s book is culturally relevant.

Van Cleave’s book is appropriate for some first semester logic courses.

Table of Contents

Chapter 1: Reconstructing and analyzing arguments

• 1.1 What is an argument?
• 1.2 Identifying arguments
• 1.3 Arguments vs. explanations
• 1.4 More complex argument structures
• 1.5 Using your own paraphrases of premises and conclusions to reconstruct arguments in standard form
• 1.6 Validity
• 1.7 Soundness
• 1.8 Deductive vs. inductive arguments
• 1.9 Arguments with missing premises
• 1.10 Assuring, guarding, and discounting
• 1.11 Evaluative language
• 1.12 Evaluating a real-life argument

Chapter 2: Formal methods of evaluating arguments

• 2.1 What is a formal method of evaluation and why do we need them?
• 2.2 Propositional logic and the four basic truth functional connectives
• 2.3 Negation and disjunction
• 2.4 Using parentheses to translate complex sentences
• 2.5 “Not both” and “neither nor”
• 2.6 The truth table test of validity
• 2.7 Conditionals
• 2.8 “Unless”
• 2.9 Material equivalence
• 2.10 Tautologies, contradictions, and contingent statements
• 2.11 Proofs and the 8 valid forms of inference
• 2.12 How to construct proofs
• 2.13 Short review of propositional logic
• 2.14 Categorical logic
• 2.15 The Venn test of validity for immediate categorical inferences
• 2.16 Universal statements and existential commitment
• 2.17 Venn validity for categorical syllogisms

Chapter 3: Evaluating inductive arguments and probabilistic and statistical fallacies

• 3.1 Inductive arguments and statistical generalizations
• 3.2 Inference to the best explanation and the seven explanatory virtues
• 3.3 Analogical arguments
• 3.4 Causal arguments
• 3.5 Probability
• 3.6 The conjunction fallacy
• 3.7 The base rate fallacy
• 3.8 The small numbers fallacy
• 3.9 Regression to the mean fallacy
• 3.10 Gambler's fallacy

Chapter 4: Informal fallacies

• 4.1 Formal vs. informal fallacies
• 4.1.1 Composition fallacy
• 4.1.2 Division fallacy
• 4.1.3 Begging the question fallacy
• 4.1.4 False dichotomy
• 4.1.5 Equivocation
• 4.2 Slippery slope fallacies
• 4.2.1 Conceptual slippery slope
• 4.2.2 Causal slippery slope
• 4.3 Fallacies of relevance
• 4.3.1 Ad hominem
• 4.3.2 Straw man
• 4.3.3 Tu quoque
• 4.3.4 Genetic
• 4.3.5 Appeal to consequences
• 4.3.6 Appeal to authority

Answers to exercises Glossary/Index

Ancillary Material

About the book.

This is an introductory textbook in logic and critical thinking. The goal of the textbook is to provide the reader with a set of tools and skills that will enable them to identify and evaluate arguments. The book is intended for an introductory course that covers both formal and informal logic. As such, it is not a formal logic textbook, but is closer to what one would find marketed as a “critical thinking textbook.”

About the Contributors

Matthew Van Cleave ,   PhD, Philosophy, University of Cincinnati, 2007.  VAP at Concordia College (Moorhead), 2008-2012.  Assistant Professor at Lansing Community College, 2012-2016. Professor at Lansing Community College, 2016-

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