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On the Relationship Between “Education” and “Critical Thinking”

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In view of recent international efforts to identify and measure the ability “critical thinking,” this paper attempts to trace and reconstruct the core meaning of this concept in the light of its conceptual history in the German terminology of educational philosophy and research. In doing so, it becomes evident that it is necessary to clarify the relationship between “critical thinking” and “education,” both understood as terms designating a mental state. In German as well as in English educational research, it seems to be the prevailing view that “critical thinking” is a partial meaning, a facet, of “education” (in the sense of “being well educated”). The German language, however, differentiates between “education” in this latter sense (“Bildung”) and “education” as a label designating the approximate equivalent of the English term (“Erziehung”). Moreover, there is a long tradition and discussion in German-speaking countries around the meaning of “Bildung,” which has shaped “critical thinking” into one of its facets, setting it apart from its understanding in the English terminology with its own special history of this concept. Therefore, trying to make international comparisons with regard to measuring “critical thinking” first requires efforts to reach a common understanding of this concept.

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This goes so far that each individual, in principle, is completely free to attribute a meaning to a sequence of letters or sounds (or to any sign at all), be it already established in written or spoken language or newly invented—a nominalistic position (Essler 1972 , p. 198ff.). Supporters of a humanities viewpoint, on the other hand, represent a (hyper-)platonistic viewpoint in these matters, which assumes that all terms of our languages, including logic operators, are to be understood as names of “real” facts, thus including also immaterial entities, and that it is therefore an empirical matter to correctly describe the meaning of a term (ibid.).

For example, the agreement to meet “at the bar” works out because, during the conversation, you are just crossing the railway tracks and not sitting in front at the counter of a tavern.

Examples include not only “critique” and “thinking” but also “morality”, “motivation” or even “theory”.

See on the “untranslatability thesis ” Quine ( 1960/1980 , Chap. II) and Davidson ( 1984 ) as well as Sukale ( 1988 ); on linguistic relativity the Sapir-Whorf hypothesis, presented in Gipper ( 1972 ).

The connection between descriptive and normative meaning , i.e., between definition and requirement, is established by requiring that, with regard to the denotatum of the defined term, it should be brought about, maintained, removed, or similar. In many, if not most, contexts of definitions, such an application is not readily obvious. One thinks, for example, of elementary terms from the natural sciences such as “temperature” or “volume,” but also from social sciences, for example, “socialization,” “interaction,” or even in economics, for example, “balance” or “exchange rate.” It has been criticized on occasion that all terms inherently transport a normative meaning from the very beginning as even the definition itself is nothing more than a normative statement. However, this view mixes different language levels (definitions are of a meta-linguistic nature) on the one hand and confuses the functions of language regulation and language use on the other hand.

This ultimately includes all teaching and learning aims as well as all overarching pedagogical goals.

“ Ought implies capability ” or “ultra posse nemo obligatur ”—a bridging principle between “be and ought”, as was recently tried to justify, with good reason, in Critical Rationalism (Albert 1980 , p. 76f.).

However, it would require an own basis of legitimation, which is not given if what we propose as a language regulation were to be demanded of a certain group of people (e.g., pupils, students, applicants, voters, office holders) as a requirement to strive for or even achieve the defined state.

Corresponds approximately to the suffix “- tion ” in English nouns.

The processes thus distinguished, including those of “throughput ”, can in fact all be reconstructed as temporal sequences. The proposed distinction is only made at a psychological meso-level for reasons of clarity.

Ironically, Niklas Luhmann writes: “The word education [“Bildung”] provides the contingency formula of the educational system with an indisputably beautiful body of words. It flows easily from the tongue” ( 2002 , p. 187; translated from German by DeepL [ https://www.deepl.com/translator ] and author).

The relevant deliberations of Greek and Roman antiquity can be dispensed with here as they are enclosed in the modern discussions on the concept of education.

Translation German-English retrieved from http://ghdi.ghi-dc.org/sub_document.cfm?document_id=3589 (2018, June 15).

Similarly: “The most important revolution in the interior of man is: «the outcome of his self-incurred tutelage». Instead of others thinking f o r him until then and merely imitating him or letting himself be guided by leading-strings, he now dares to move forward with his own feet on the ground of experience, if still shaking” (Kant 1798/1981 , vol. 10, p. 549; translation from German by DeepL and author).

Thus Bernhard ( 2011 ) speaks of a “concept of liberation education ” for that time: ‘Western’ populations are dependent “on the cultural industries that incapacitate them” (p. 90). “Education (provides) an early warning system regarding the mechanisms of the incorporation of capital that must not be underestimated” (p. 99).—In contrast to the original function of serving as a category for distinguishing social stratification, a normative interpretation of the concept of education as a “battle concept” (Ribolits 2011 ) comes into play here and stands for the exact opposite, the leveling of all social differences.

This—momentous—separation of general and specialized, i.e., vocational training, still takes place today, citing a passage in the Lithuanian school plan: “There is a certain amount of knowledge that must be general, and even more a certain formation of attitudes and character that no one should lack. Everyone is obviously only a good craftsman, merchant, soldier and businessman if he is a good, decent man and citizen, enlightened according to his status, in himself and without regard to his particular profession. If the school education gives him what is necessary for this, he subsequently acquires the special ability of his profession so easily and always retains the freedom, as so often happens in life, to pass from one to the other” (von Humboldt 1809/1960 –1981, p. 218).

Women were far from being mentioned in this context at the time. In 1900, the physician Möbius was still able to publish a paper entitled “On the physiological imbecility of women”, which by no means brought him violent opposition (Steinberg 2005 ). In contrast, the “Memorandum” of the “First German General Assembly of Conductors and Teachers of the Higher Girls’ Schools” of 1872 proclaims: “It is necessary to allow the woman an education equal to the spiritual formation of the man in the generality of species and interests, so that the German man is not bored by the spiritual short-sightedness and narrow-mindedness of his wife in the domestic flock and the warmth of feeling for the same stands by his side” (cited from Lange and Bäumer 1901 , p. 64f.; translation from German by DeepL and author)—a sign that “pedagogy” was a considerable step ahead of “medicine” at the time.

Whether Humboldt himself would have accepted this claim is still controversial and must remain unanswered (Zabeck 1974 ).

Keyword “Encyclopédia”. “La double vocation de cet ouvrage est de répertorier les connaissances et les savoirs de son siècle et aussi d’ouvrir une réflexion critique, de “ changer la façon commune de penser ”” (Wikipédia 2018 ).

The regulations for the study of political science in the “Kingdom of Bavaria” state, for example: “The complete course of general sciences includes the following subjects: (1) philosophy (2) elementary mathematics (3) philology (4) general world history (5) physics (6) natural history” (Döllinger 1823 , p. 204). “(T)o the study of special sciences...”count as “auxiliary sciences”…“encyclopedia and methodology” (ibid. s: 206). However, the students were forbidden, among other things, “all deliberative meetings” (ibid. p. 219), i.e., meetings under a motto that today we would describe as “critical thinking”.

Their “individual position” (“Individuallage”), as Pestalozzi put it (Lichtenstein 1971 , Col. 925).

This term reappears in a polemic by Th. W. Adorno in the first half of the twentieth century, where it is positioned against the “cultural industry” ( 1959/1998 ).

Except for the shortening it experienced during the second half of the nineteenth century, as described above.

Dewey instead still uses the term “reflective thinking”: “Active, persistent, and careful consideration of a belief or supposed form of knowledge in the light of the grounds which support it and the further conclusions to which it tends” (Dewey 1916 , p. 9).

See the “Watson-Glaser Critical Thinking Appraisal (WGCTA) ” (Watson and Glaser 1964 ), for which a German adaptation exists (Sourisseaux et al. 2007 ) and which is sometimes labeled to be the “gold standard” in measuring CT.

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Beck, K. (2019). On the Relationship Between “Education” and “Critical Thinking”. In: Zlatkin-Troitschanskaia, O. (eds) Frontiers and Advances in Positive Learning in the Age of InformaTiOn (PLATO). Springer, Cham. https://doi.org/10.1007/978-3-030-26578-6_6

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1: Introduction to Critical Thinking, Reasoning, and Logic

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What is thinking? It may seem strange to begin a logic textbook with this question. ‘Thinking’ is perhaps the most intimate and personal thing that people do. Yet the more you ‘think’ about thinking, the more mysterious it can appear. It is the sort of thing that one intuitively or naturally understands, and yet cannot describe to others without great difficulty. Many people believe that logic is very abstract, dispassionate, complicated, and even cold. But in fact the study of logic is nothing more intimidating or obscure than this: the study of good thinking.

• 1.1: Prelude to Chapter
• 1.2: Introduction and Thought Experiments- The Trolley Problem
• 1.3: Truth and Its Role in Argumentation - Certainty, Probability, and Monty Hall Only certain sorts of sentences can be used in arguments. We call these sentences propositions, statements or claims.
• 1.4: Distinction of Proof from Verification; Our Biases and the Forer Effect
• 1.5: The Scientific Method The procedure that scientists use is also a standard form of argument. Its conclusions only give you the likelihood or the probability that something is true (if your theory or hypothesis is confirmed), and not the certainty that it’s true. But when it is done correctly, the conclusions it reaches are very well-grounded in experimental evidence.
• 1.6: Diagramming Thoughts and Arguments - Analyzing News Media
• 1.7: Creating a Philosophical Outline

Introduction to Logic and Critical Thinking

(10 reviews)

Matthew Van Cleave, Lansing Community College

Copyright Year: 2016

Publisher: Matthew J. Van Cleave

Language: English

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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-

Contribute to this Page

8. Philosophy and Critical Thinking: The Value of Asking the Deep Questions

Although we’ve emphasized in this guide that critical thinking skills cannot be taught in isolation from subject matter, there is a great deal of critical thinking to be learned from a subject that studies thinking itself: namely, philosophy. Philosophy and critical thinking are a natural pair.

American schools, unlike schools in some other parts of the world, have been hesitant to adopt philosophy courses into the curriculum. (One exception is the International Baccalaureate curriculum which includes a course called “Theory of Knowledge.”) One reason for this is that philosophical texts are often thought of as too dense and difficult for primary and secondary school students. 

Philosophy does, of course, involve a corpus of often quite difficult texts from different traditions, but philosophical reasoning itself is not at all outside the reach of even young children. Indeed, children show an interest in philosophical questions at a very young age. 

Philosophical reasoning itself is not at all outside the reach of even young children. Indeed, children show an interest in philosophical questions at a very young age.

And older students, especially those who might be demotivated or struggle in other subjects, can be stimulated by the more open-ended, argumentative, and profound nature of philosophical thinking. Philosophical thinking also has a unique, interdisciplinary character that makes it ideal for helping students see connections across disciplines.

Philosophy for Kids

Philosophical reasoning is not something foreign to kids that needs to be forced on them from the outside. They all naturally ask philosophical questions like : 

• “How can we be sure that everything is not a dream?”
• “When Dad tells me to be good, what does he mean?”
• “Why is time so slow sometimes?”

Philosophy for kids programs and courses can help encourage this inquisitiveness and help kids to learn to channel it into a reflective frame of mind.

Many philosophy for kids programs attempt to initiate this type of thinking through narrative. For example, the Institute for the Advancement of Philosophy for Children ( IAPC ) at Montclair State University, which goes back to the work of Matthew Lipman in the 1970s, uses stories to stimulate discussion of a philosophical topic. Children then discuss the topic in a “community of inquiry” where the teacher acts as a facilitator, who “both guides the children and models for them — by asking open-ended questions, posing alternative views, seeking clarification, questioning reasons, and by demonstrating self-correcting behavior.”

Other philosophy for kids initiatives use other stimuli, like visuals, thought experiments, or simply probing questions. But they share the goal of building a “community of inquiry,” where students get a chance to discuss and refine their ideas with one another, undertake to understand outside perspectives, and consider big questions outside the scope of more standard learning.

There is evidence that these kinds of philosophical activities can have a positive impact on student achievement . The Education Endowment Foundation in the UK found in an initial study of Philosophy for Children for 8-10 year olds that the program was promising: students made gains in math and reading compared to those who did not participate.

Teaching Philosophy to Middle and High School Students

As they get older, students are ready for more complex philosophical reasoning as well as instruction in formal logic. Philosophy can, moreover, be a driver of interdisciplinarity during middle and high school, since reflecting on the state of knowledge in other disciplines is one of the core tasks of philosophy.

Philosophy can, moreover, be a driver of interdisciplinarity during middle and high school, since reflecting on the state of knowledge in other disciplines is one of the core tasks of philosophy.

This kind of interdisciplinarity may help address one of the thorniest problems with critical thinking instruction: namely, transferability. As we’ve noted, critical thinking skills in one domain do not easily transfer to other domains. Teaching general critical thinking skills without any context is thus generally not effective . But that doesn’t mean students shouldn’t spend time thinking about how the skills and knowledge they’ve gained in one domain relate to those gained in another. Philosophical reasoning is a perfect complement here. 

One way teachers can get middle and high school students to start thinking more philosophically in an interdisciplinary context is through epistemology, or the study of knowledge.

Idea for Discussion : What Is Knowledge?

Philosophy is concerned, more than many other disciplines, with definitions. It takes concepts that we might take for granted, like knowledge, and problematizes them, by asking questions like:

• How do we know something?
• Are there general principles for what counts as knowledge or does it depend on the discipline?
• How do we come to know things in science? In our daily lives? In religion or aesthetic experiences?

It’s easy for these conversations to become too abstract so it’s best to start with something concrete. Break students up and assign them each a particular subject matter: art, science, religion, and morality, for example. Ask them to define knowledge in each of these domains?

• How do you know a piece of artwork is good?
• How is a scientific theory known to be true?
• How do people know a religious belief they have is true?
• How do we know the difference between right and wrong moral actions?

Ask students to come up with a definition. As they discuss, circulate to make sure students are using examples from their own study and experiences and trying to develop a list of criteria for knowledge in these different domains.

Bring the class back together to evaluate the definitions. Ask students from other groups to scrutinize each others’ definitions. The teacher might raise certain objections to try and deepen discussion:

• In science, for example, a group might say a theory is known to be true because it is verified in experimental results. But Isaac Newton’s physics were eventually shown to be inaccurate in certain cases. Is it right to say that before Albert Einstein came along, with a new, more experimentally accurate theory, people knew Newton’s theory was true? Or did they only think they knew?

Then, ask students to reflect on whether there is anything shared among these different kinds of “knowledge.” Questions that might come up include:

• Are there any general shared principles of inquiry common to these different domains: for example, experimentation or learning from one’s predecessors?
• Is it just happenstance that we happen to apply the words “know” and “knowledge” to these very different activities?
• Can we draw a clean distinction between practical knowledge (“knowing how”) and theoretical knowledge (“knowing that”)?

Download our

 teachers’ guide.

(please click here)

Sources and Resources

Goering, Sara, Nicholas J. Shudak, and Thomas E. Wartenberg, eds (2013). Philosophy in schools: An introduction for philosophers and teachers . Routledge. Collection of essays on different aspects of pre-college philosophy education.

Lone, J. M. & Burroughs, M.D. (2016). Philosophy in education: Questioning and dialogue in schools . Rowman & Littlefield. Argument for introducing philosophy in the K-12 context, with lesson ideas for elementary, middle, and high school. 

Millett, S., & Tapper, A. (2012). Benefits of collaborative philosophical inquiry in schools. Educational Philosophy and Theory , 44(5), 546-567. Overview on research into philosophy for kids and collaborative philosophical inquiry more broadly. 

Pritchard, Michael (2018). Philosophy for children . The Stanford Encyclopedia of Philosophy . Encyclopedia entry on the history of rationale for philosophy for children. Also offers details on different approaches and more resources.

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Examination of the Relationship between Educational Philosophy, Critical Thinking, Classroom Engagement and Academic Achievement 1

2022, Examination of the Relationship between Educational Philosophy, Critical Thinking, Classroom Engagement and Academic Achievement

Educational philosophy addresses systematic ideas and conceptions in the educational manner. The purpose of this study was to examine the contributions of educational philosophy, critical thinking and classroom engagement to academic achievement among pre-service teachers by utilizing structural equation modelling. A total of 444 teacher pre-service teachers who volunteered from a state university in Turkey participated in the study. Data collection tools were Educational Belief Scale, UF/EMİ Critical Thinking Disposition Instrument and Classroom Engagement Inventory. Analysis revealed that the hypothesized model explained 22% variance of academic achievement. Path coefficients indicated that some educational philosophies were significantly related to critical thinking dispositions. Innovativeness in critical thinking disposition significantly predicted all dimensions of classroom engagement. Educational implications were discussed.

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West Science Interdisciplinary Studies

Sabil Mokodenseho

Indonesian Islamic education, with its rich traditions, must change quickly to keep up with the times. This study investigates how philosophical frameworks are used in Indonesian Islamic boarding schools, or pesantren, and how they affect students' development of critical thinking abilities. A mixed-methods approach was used in the research, incorporating document analysis, observations, interviews, and surveys. With an average score of 3.78, the quantitative results showed a moderate level of philosophical framework integration within the program. With an average score of 4.21, students felt they had significantly improved their critical thinking abilities, indicating the usefulness of these frameworks. These outcomes were supported by qualitative data that emphasized students' excitement, teachers' acknowledgment of their ability, and administrators' support. Obstacles such limited resources, cultural awareness, and the requirement for teacher preparation were note...

Education Quarterly Reviews

The research aims to investigate the effect of philosophy education for children in social studies course on students' conceptual success and critical thinking skills. Sequential descriptive model, one of the mixed methods research approaches, was used in this study. The study group of the research consists of 64 students studying in 5th grade in a secondary school affiliated with the Ministry of National Education located within the provincial borders of Istanbul city. The students included in the study group studied in the same primary school. The students were randomly selected by the researcher considering their primary school grade score averages, gender characteristics and their economic conditions. Quantitative data of the study were collected using Conceptual Achievement Exam and Critical Thinking Skills Scale, on the other hand qualitative data was collected using Semi-Structured Interview Form. In order to reveal the effects of philosophy education practices for childr...

Journal of History Culture and Art Research

Ahmet Aypay

mahshid alvandi

Abstract—This study attempted to investigate the relationship between Iranian EFL teachers’ critical thinking skills, their Emotional Quotient (EQ) and their students’ engagement in the task. To that end, 20 EFL high school teachers completed “Watson-Glaser Critical Thinking Appraisal” (Form A) and the “Bar-On Emotional Quotient Inventory”. Furthermore, 600 male and female learners, the students of the teacher participants at the time, participated in the study by answering the Persian version of “Tinio High School Survey on Student Engagement”. The findings of the study indicated that there was a significant relationship between teachers’ critical thinking skills and their students’ engagement in the task. However, the results did not show any meaningful relationship between teachers’ EQ and their students’ engagement in the task and also between teachers’ critical thinking skills and their EQ, although the results pointed to a high degree of correlation between ‘intrapersonal aspects of teachers’ EQ’ and ‘students’ behavioral engagement’. Index Terms—critical thinking skills, emotional quotient, engagement in the task

International Journal of Foreign Language Teaching and Research

Masoud Azizi Abarghoui

International journal of higher education

Shanaz Cassum

Parviz Karimisani

Recently, research on critical thinking and related factors as one of the professional qualities of teachers has attracted the attention of many education experts. This study aimed to assess the critical thinking of primary school teachers and its role in their preferred teaching style. The research method was descriptive and correlational. The statistical population included all primary school teachers in the academic year 2014-2015 in city of Shabestar, which were based on the result of inquiry of the Education Organization of Azerbaijan (city of Shabestar) 4115 in number. 110 teachers were selected according to Cochran’s formula using multiple stage randomized cluster sample and were evaluated using teaching style questionnaire and critical thinking disposition assessment scale of Ricketts. Data analysis was conducted using Pearson’s correlation coefficient and dependent t-test. The findings of the research showed that teachers were better disposed towards active teaching style c...

Journal of Educational and Social Research

Ruzhdi Kadrija

Critical thinking is a training program for teachers in order to improve teaching and the educational approach to students. The aim of this research is to address the implementation of this training program from the viewpoint of students and teachers. In this paper, we investigated the effects of the application of critical thinking in raising the quality of teaching in 9-year schools in Kosovo. But this paper initially treats from the theoretical aspect, which as a training program is based on the constructive and progressive approach. This philosophy of education sees the student as a subject engaged in the acquisition of knowledge and positive school experiences. While for a more complete illumination of the research, we received the opinions of 517 students from schools where the philosophy of critical thinking is applied and from schools that still work according to traditional educational practices. Here we compare the opinions of students about the quality of teaching of teac...

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