Dave Sobecki, Miami Univ, OH, presentation on "Critical Thinking: Does It Mean What You Think" at 28th Annual Conf of CA Mathematics Council of Community Colleges South on Feb 22-23, 2013
5. So What Exactly IS Critical
Thinking?
(And Can It Really Kill You?)
6. Dave Sobecki
Miami University* Hamilton
* Miami University is not in Florida. When it
was founded, Florida was a Spanish territory
(1809).
7.
8.
9. I shall not today attempt further to define
the kinds of material I understand to be
embraced within that shorthand
description ["hard-core pornography"]; and
perhaps I could never succeed in
intelligibly doing so. But I know it when I
see it, and the motion picture involved in
this case is not that.
—Justice Potter Stewart, concurring
opinion in Jacobellis v. Ohio 378 U.S. 184
(1964), regarding possible obscenity in
The Lovers.
10. Critical Thinking as Defined by the National Council for
Excellence in Critical Thinking, 1987
A statement by Michael Scriven & Richard Paul {presented at the 8th
Annual International Conference on Critical Thinking and Education
Reform, Summer 1987}.
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:
HUH?
clarity, accuracy, precision, consistency, relevance, sound
evidence, good reasons, depth, breadth, and fairness.
11. �
�
“Dude, this class sucks.”
� “Dude, this textbook sucks.”
�
� “Math and science education is at a
critical juncture in the United States.”
12. • Analyze information provided in detail, and in a scholarly
way
• Evaluate a situation and judge what is useful in solving
problems
and drawing conclusions
• A method of exercising one’s thinking ability in a way that
is crucial
to intellectual and personal development
• A transition from childhood thinking to adult thinking
• A process that leads to further intellectual development
and
encourages students to become lifelong learners.
15. The Obvious (and most common) Way:
Critical thinking questions on HW/Tests
But can we expect our students to excel at critical
thinking
questions if we don’t train them to, you know,
THINK CRITICALLY?
The More Important Way:
TEACHING
STYLE
16. What do your students understand?
What can they explain?
ASK THEM!
17. What is a variable?
―It’s a letter, like x.‖
NO IT’S NOT
Able to vary
26. Assessment is important too!
(A) Write a verbal description of the inequality x
> –3, and a verbal description of the inequality x
> 5.
(B) The expression –3 < x > 5 is a combination
of the two inequalities from part (A). Rewrite
your two verbal descriptions from part (A) with
the word ―and‖ in between, then use the result
to describe why the expression
–3 < x > 5 is silly.
28. Assessment is important too!
(A) Find the value of the expression (3 + 8)2.
Don’t forget order of operations!
(B) Find the value of 32 + 82. How does it
compare to your answer from part (A)?
(C) Rework parts (A) and (B) with any two
nonzero numbers you choose.
(D) What can you conclude about ―distributing‖
an exponent?