Introduction

Critical Thinking, Global Citizenship, Well-Roundedness

Critical thinkers, responsible citizens, and well rounded individuals are the three promises of schools and colleges across America.

But what exactly critical thinking, global citizenship, and well-roundedness mean is never made clear.

Our goal here is to define these terms precisely, explain how the current system fails, and outline a system that will fulfill these three promises.

This new system is based on the coordinated use of the seven tools of critical thinking, the seven disciplines of global citizenship, and the seven basic joys of life.

Three Measures of Failure

The simplest measure of failure is the widespread lament among employers that American high school and college graduates can’t write clearly, think critically,  or solve problems. A second is the performance of native born adult Americans on civic literacy tests relative to naturalized citizens. A third is the inability of most adult Americans to sing or draw and their belief that only the talented few can.

What is critical thinking? How can it be taught?

Critical thinking has three basic units. The first basic unit of critical thinking is the sentence. Think of it as a stroke in tennis. Or a note in music. The second basic unit is the paragraph. Think of the paragraph as a point in tennis or a phrase in music. The next basic unit is the essay. Think of the essay as a match in tennis or a concert performance in music.

Just as a young child aspiring to be a proficient piano or tennis player must spend at least an hour or two a day practicing the basics (whether scales and arpeggios or backhands and forehands), so, too if the goal is produce a critical thinker by age 18, students should spend at least an hour or two per day writing sentences and paragraphs.

They don’t. This is a tragedy. The older you try to acquire any skill the harder it is to do so. The result is utter panic among high school students who for the first time are asked to write essays. Sometimes you can get to college before having to write an essay. And, as many employers have experienced, many graduates from college without ever reaching a most rudimentary level of mastery.

Daily Writing Across the Curriculum:
Reading without writing is like eating without digesting

Students are required to read a lot – in all subjects. Textbooks in every grade and every subject are long and heavy. But reading without writing is like eating without digesting. This is as true of science as it is of history or literature.

If a subject is worth teaching, it is worth remembering. If it is worth remembering, it is worth understanding. The best test of understanding is your ability to explain in coherent sentences what is worth remembering and why.

No lesson in any subject on any day in any grade should not have a writing component. The harder the subject matter the more indispensable this writing is.

 

The Seven Tools of Critical Thinking

The seven tools of critical thinking are the thematic before and after test, the thematic journal, the thematic matrix, the thematic capstone, the thematic conversation, the thematic calendar, and the thematic checklist.

Each tool has a long pedigree. What is new is the idea of their integrated application.

The Critical Thinking Toolkit – A Matrix

Synonyms Epitomes Precedents
Thematic

Journal

Log      Diary

Blog     Notebook

Commonplace Book

“No record,

No remember.”

“Reading without writing is eating without digesting.”

Archimedes

Newton Darwin

Emerson Thoreau

Anne Frank

Thematic

Matrix

Diagram    Chart

Table  Grid Graphic

“No grid, no understand.”

“No diagram, no analysis.”

Durer  Mendeleev

Descartes

Eisenhower

Mendel

Thematic

Before and After

Test

Photographs, Mirrors, Videos

Backward Design

Core question sets

“No before test, no baseline.

No after test, no accountability.”

Mazur/Physics

Mosteller/Statistics

Rosling/History

Thematic

Calendar

Calendar

Schedule

Ritual

Intervallic Repetition

“If it’s not on the schedule, it will not happen.”

“If it is worth remembering, it is worth repeating”

Liturgical

Financial

Fiscal

Calendars

Thematic

Conversation

And Peer Group

Socratic method

Harkness system

Support group

Idea exchange

“No buddies,

lose interest”

“No challenge,

slower progress.”

Pythagoreans

Peripatetics

Universities

Thematic

Micro and

Macro

Checklists

  Mantras

Core questions

Core models

Scientific method

Spiritual discipline

Prayer    Myelin

“Observe, ask, guess, test, tell, record, iterate.”

“Confident, calm, patient, one step at a time”

Provonost  Osler

Herbie Benson

Hippocrates

Warren Buffett

Atul Gawande

St. Benedict

Harriet Ball/KIPP

Thematic Capstones POU: performance of understanding Scientific poster-boards Theses

Dissertations

 

The ten attributes of critical thinking and how they relate to the seven tools are laid out in this table:

The Ten Attributes of Critical Thinking – A Matrix

Elements of Thinking Principle Practical Tool
Sustained Continuity is the key to depth of thought Thematic Journal

Thematic Calendar

Thematic Capstone

Analytical To understand x

Must break it down into parts

Thematic Matrix

Thematic checklist

Synoptic:

Prioritized, sequenced

If you don’t see the big picture, it’s impossible to prioritize and make an informed decision. Thematic Matrix

Matrix Exchange

Research-based Facts matter.

Half of what you think is wrong. Only research will help you shrink the percentage.

Thematic Journal

Matrix Exchange

Collaborative Solo thinking can be creative but runs risk of sterility as well as retreat into a private universe

and private  language.

Thematic Matrix

Exchange

Skeptical All premises must be identified and turned into hypotheses If truth is to be found. Thematic Checklist:

How can I be wrong?

What am I missing?

What questions should I be asking?

Decision-focused:

(prioritized, precise)

Life is a tissue of decisions with respect to what matters in daily life and civic life. Thematic Journal

Thematic Matrix

Accountable No test, no accountability Before and After Test

Capstone

Multi-disciplinary Most important issues cross disciplinary lines. Seven literacies

Of world citizenship

Quantitative if possible If something can be quantified, it should be. Thematic Data Packet

 

 

 

Attitude Checklists

Whatever the topic, whatever the situation, there will be moments of panic and crisis. It is important to have re-centering checklists in order to maintain focus.

The first checklist is internal: be confident, be calm, take one step at a time. Haste makes waste. Saying “I can’t” is a self-fulfilling prophecy.

The second is a version of the scientific method: observe, ask, guess, test, tell, record iterate. Whatever the subject: am I being observant? analytical? methodical?

The third involves communication with others. One version would be: listen, empathize, encourage, thank. Another is to remember that how you say what you say can be more important than what you say. You can speak too loudly to be heard. Be self-aware and do the triple check: tone, look stance.

Thematic Calendar

Long Term cycles: K-12

Any important question worth asking and investigating in any depth merits revisiting on a periodic basis over the course of a K-12 education – whether every year or every two or three years. This calendar deserves the attention of the most senior administrative bodies in the school system as well as debate among the general public.

Examples of such questions are: the meaning of justice, the difference between science and pseudo-science, how to recognize rhetorical fallacies and statistical manipulation.

Medium Term Cycles: Monthly

Within an academic year, a recurring monthly thematic sequence will maximize the odds of retention of the most important ideas. For example in a civics course with four big themes, here are four options.

     Option A      Option B             Option C                   Option D

Week One Local Foreign policy War North America
Week Two State Taxes Poverty Africa
Week Three Nation Jobs Population Asia
Week Four World Health care Environment Middle East

 

Short Term Cycles: Daily

A recurring daily thematic pattern can also serve to maximize the odds of achieving a deep understanding of critical distinctions – as in this example between facts, opinions, and premises, between individual decisions and group compromise based on issue prioritization and give and take.                                  

Monday                   Tuesday         Wednesday   Thursday           Friday

Fact Day Opinion Day Decision Day Prioritize Compromise
Important “stated” Facts Versus other issues Day As if you had authority
Versus Versus Opinions Based on principles/ Executive

or

Unimportant “hidden” Interests Interests Legislative

Thematic Conversation/Matrix Exchange

Without the exchange of ideas, thinkers tend to retreat into private universes. The Socratic dialogue is an indispensable tool for sharpening of thinking and avoiding dead ends. Science is a collaborative process. Learning is a team sport.

Matrix Exchange To Master Matrix Construction

 

          Beginning                             Middle                                 End

1.)  Exchange of matrices:

2.)  2 minute

written

reaction

3.)  one minute

deep breathing

attitude check

(see step 5)

Around table

Equal time for each

Speaker.

(Use an old fashioned

egg timer, watch,

or cell phone)

 

One member creates master matrix on white board or black board

1 minute written summaries.

 

Around Table Again.

 

Review of master matrix,

 

Approval of master

Matrix (each side approves own side)

 

If there is one thing I learned as a student and a teacher, it is that the quality of a discussion is a function of three variables

a.) the amount of written work each participant has done before hand (reading without writing is like eating without digesting)

b.) the ability of the teacher to manage the discussion process such that each student gets roughly equal time to express her views and be challenged;

c.) the systematic summary of the collective wisdom of the class so that what is learned can serve as a foundation for future learning.

The construction and exchange of matrices before formal discussion begins prevents the degeneration of conversation into a “mutual rant” where the path of the conversation resembles a random walk with each party looking for the weakest point in the argument of the other. Discussion wanders jaggedly away from what matters most, maximizing ill will and frustration. The sands shift constantly: “that’s not what I said,” “that’s not what I meant at all.”

To get beyond the echo chamber, build up as diverse a possible a group of friends committed to becoming more disciplined citizens.

These friends must be willing to meet regularly and do written homework before each session.

Without a master matrix to build on, future conversations will be re-enactments of the prior one. Constant wheel reinvention is not a recipe for progress.

Thematic Capstone

Every course in every subject should lead to a capstone performance.
The performance should include written, oral, and graphic presentations.

Samples:

              Science                                     Civics                                Arts

 

Demonstration of a classic experiment such as Galileo’s inclined plane

 

Presentation on the pros and cons of universal health care Composition and performance of a 12 bar blues or equivalent

 

The Thematic Matrix

Essays ramble. Matrices get to the point. They focus the mind on what matters. So what should every high school or college graduate know about physics, chemistry, ethics, history, economics, political science, art, music, fitness? What is the best way to teach the critically important concepts?

Let’s figure this out by exchanging curricular matrices.

Each subsequent page attacks a specific discipline. The hope is that experts in each field will individually and collectively come forth with better ones. The general format is as follows:

Topic x (Science, Humanities, Arts)

Example A Example B Example C
Concept #1                    ?             ?             ?
Concept #2                    ?             ?             ?
Concept #3                    ?             ?             ?

 

If there is a topic worth teaching, there is a topic grid worth committing to memory. Any topic worth studying has at least three key ideas that can be demonstrated in multiple ways – using words, numbers, and images. The better the teacher, the better the framing of the demonstrations, the sequencing of questions and the more ubiquitous and cheap the objects needed so that the student can more easily repeat the lesson for the benefit of others outside the classroom.

Imagine the now blank walls of countless classrooms and hallways brought to life by thought-provoking matrices that help focus the minds of students on what matters most and how to apply these concepts in multiple settings.

The best graduation test for a student would be the ability to walk a prospect  through the school enchanting her with the stories graphically displayed.

Imagine a prime time “Academic Idol” television show in which aspiring or experienced teachers compete by bringing to life a learning matrix or even just one of the squares in it.  The judges might be the President, the Secretary of Education, the chairman of the Fed, Beyonce, Warren Buffett, or Michael Jordan.

The higher the rewards for great teaching, the greater the desire to become one.

Let the crowd sourcing begin.

Thematic Journal

The Daily Journal

Writing disciplines thought and provides a foundation upon which to build a sustained argument. A journal collects thoughts in one place and facilitates continuity of thought from hectic day to hectic day. In the absence of such a device, constant wheel re-invention is the order of the day. Logs can be of as much use to physicists and biologists as much as to humanists and poets.

Each course in a general education curriculum should have as a daily requirement the writing of at least one paragraph prior to the day’s class hour and another afterwards.

The purposes of the two paragraphs are to prepare for class with the articulation of questions and hypotheses with respect to the day’s subject matter and to synthesize the knowledge gained during the class hour and after related research and reading into a reformulation of those questions and hypotheses.

The Eureka Journal

Each core curriculum or general education course would have a class specific log or journal. However, there should also be a journal of journals or a EUREKA LOG for the highlighting of the quantum leaps in observation, understanding and insight over the college career of the student. Ideally, of course, each discipline-specific course should lead to moments worthy of the EUREKA LOG.

The Eureka Log should also include a discussion of the major decision points in a student’s undergraduate life and the rationale behind them: eg. choice of major, minor, extracurricular activities, post-graduate plans, voting decisions, religious affiliation decisions etc.

The Gift that Keeps on Giving

The Eureka log in particular would become of priceless value to each student for the rest of his or her life. And imagine the value to their children, grandchildren, etc. Did your grandfather die before you were born? Mine did. I envied those more fortunate. Then, a few years ago, I found in the attic a box filled with articles and poems tracking his thoughts and feelings from 1914 to 1939. The elation was gut-wrenching.

Where would we be without Darwin’s journals? Newton’s? Anne Frank’s? Logs (journals) have been used for millennia by men and women, young and old, in all fields. Benedictine monks and Puritan settlers tracked their spiritual pilgrimage toward grace. Darwin jotted down observations and drew connections between types of finches.

Mathematicians and physicists charted their path toward discovery of natural laws. Captains logged their progress. Accountants kept watch on expenses and revenues.

Reading without writing is like eating without digesting.

As the ancient Chinese saying says, the palest ink is better than the best memory.

If used correctly, the thematic journal can turn a college or high school education from a random walk from course to course into a disciplined journey toward self-knowledge and mastery of a broad range of skills.

Thematic Before and After Test

No before test, no baseline. No baseline, no accountability – for the teacher or the student.

The blank matrix is the perfect before and after test. For any field can you list the three most important concepts and explain how they apply to three different situations? or can you make a strong case for both sides in the next election marshalling principles facts and solutions for each of the issues that might be so important it should influence your decision? or can you explain how an air conditioner, a toilet, or a car work breaking down each of its subsystems into its components, explaining how these components work together, and the basic scientific principles behind these processes? 

 

Topic x (Science, Humanities, Arts)

                                        Example A                Example B                  Example C

Concept #1                    ?            ?            ?
Concept #2                    ?            ?            ?
Concept #3                    ?            ?            ?

 

 Issue x (civics)

                                      Principles                Facts                         Solutions

Side A
Side B
Side C

                                     

Engineering System (eg. car, air conditioner, toilet)

                                      Parts                       Processes                 Principles

Sub system 1
Sub system 2
Sub system 3

 

The Seven Joys of Life

Education is ultimately about taking kids from “I can’t” and “I don’t like” to

“Wow! I can!” and “Wow! This is so cool!” in the basic joys of life – the joys of words, numbers, experimentation, engineering, art, music, and sports. Without the experience of each of these joys, the child can not possibly make informed life choices with respect to career or use of free time.

Seven Joys and Three Key Elements of Each

                                           #1                                   #2                             #3

Words poetry      fiction    drama
Numbers counting    calculating    proving
Experiments physics    chemistry    biology
Civics economics      ethics    history
Music rhythm      melody    harmony
Art drawing      painting    sculpture
Sports individual      team    dance

 

What is a reasonable level of mastery for an average child in music, art, drama?

In music, a reasonable capstone performance would the composition and performance of a twelve bar blues on the guitar or piano or the equivalent.

In art, the equivalent would be the drawing of a self-portrait in perspective.

In sports, the joy of playing a two out of three set match. In drama, the joy of delivering a Shakespearean monologue. In math, the joy of walking a class through a proof of the Pythagorean theorem. In science, the joy of demonstrating Galileo’s inclined plane experiment.

A great teacher can take a student to joy through discipline within a matter of weeks. A poor teacher given years will fail.

School principals and college Deans should identify the teaching methods of of the greatest teachers and hire those capable of implementing them.

This is not rocket science. Examples of such master teachers are:

Betty Edwards and Brian Bomeisler   Drawing on the Right Side of the Brain,

Scott Houston, The Piano Guy

Tim Galwey , The Inner Game series (Tennis, Golf….)

Stephen Fry, The Ode Less Traveled

Alex Filipenko, Astronomy,  UC Berkeley

Michael Starbird statistics, University of Texas, Austin

Stephen Ressler in engineering, West Point

Rafe Esquith, fifth grade teacher