Questions tagged [critical-thinking]

The tag has no usage guidance.

Filter by
Sorted by
Tagged with
5 votes
4 answers

what could be some replacement language for the term "spoon feeding"

In some cultures, there is an expression of "spoon feeding" type of instruction, where the teacher shows how to do steps to a problem, and then students are assigned minor variants thereof. ...
usr0192's user avatar
  • 493
4 votes
1 answer

How should mathematics tests be designed? [closed]

I am speaking about high school mathematics . Students have attended a mathematics course . By the end thereof , students are supposed to be able to: find the limit of a real function f as “x” ...
Aloz371's user avatar
  • 41
10 votes
2 answers

Is there research to back up the claim that math classes help develop analytical skills?

When I teach math classes, one goal I have in mind is to help students develop the cluster of thinking skills usually called analytical skills or critical thinking skills. And I think that math ...
David Elm's user avatar
  • 483
3 votes
1 answer

The spatial thinking course for primary school - what to use?

We're planning to run the project for first two grades of the elementary school kids, in which we want to facilitate the spatial thinking development along with the regular arithmetic course and make ...
paus's user avatar
  • 103
4 votes
2 answers

What would you recommend for the math thinking course for school?

We're going to make a new math course for kids as intermediary between middle and high school with math profile (for preparation to entrance exams to high school), and before the main part (arithmetic,...
paus's user avatar
  • 103
5 votes
2 answers

Tips and References for a 15 days Course on Math

I'm going to participate in a course (as a teacher) where I'm suppose to teach high school math to high school students in about 15 days during the year. Each class has about 1 hour long. Now, I think ...
MathMath's user avatar
  • 151
8 votes
4 answers

Acceptability of creative questions in assessments

I am a math teacher and I have been for a decade now. One of the foundations of my philosophical approach to teaching has to do with Synthesis. For the purposes of this query, I consider Synthesis to ...
Mark B's user avatar
  • 123
6 votes
0 answers

Long-form, multi-step, skills-integrating applied mathematics problems in calculus I, II, III

When recently teaching Calculus II to college students, I instructed my students to read and be ready to work through the first 8 or so questions of James Walsh's climate modeling differential ...
Sinister Cutlass's user avatar
8 votes
2 answers

What explains why a student can learn philosophy well, but fail in abstract math?

An undergraduate double major in math and philosophy, my cousin learns philosophy well, but she's failing her abstract proof-based courses (Group Theory, Real Analysis and Linear Algebra). Presume ...
user avatar
2 votes
1 answer

What exactly does 'abstract' signify in a course like Harvard's Math 55 (Honors 1st yr)?

Source: Logan R. Ury. Burden of Proof. Dec 6, 2006. Wikipedia on Math 55. While Harrison ultimately chooses to remain in the class, such conferences motivate several more students to drop, ...
user avatar
19 votes
3 answers

Critiquing Proof Style During Class

I would like to spend a day with my students analyzing mathematical writing. One way I might accomplish this is to offer multiple proofs (some good, some poor) of the same simple statement and ask ...
Austin Mohr's user avatar
26 votes
9 answers

Teaching students to find and correct their own errors

Many students have a fairly good grasp of the topics they are learning but fall down because they miss fatal errors in their work. Some don't check for errors at all, while many simply can't find them....
DavidButlerUofA's user avatar
9 votes
3 answers

Teaching Critical Thinking Skills

I am currently tutoring a few students in an entry level physics course and had some trouble recently when it comes to helping them with problem solving. The students I am helping don't have many ...
KBusc's user avatar
  • 262