Questions tagged [inquiry-based-learning]
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20 questions
3
votes
3
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How should we address students’ persistent misconceptions that conflict with their explicit mathematical reasoning?
In a recent philosophical paper, Michiel Esseling critiques the view that desires are simply beliefs about reasons for action by pointing to recalcitrant desires desires that persist even when someone ...
- 491
6
votes
1
answer
476
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"Flipped classroom exercises" resources
I was reading this book:
"Dynamics of Particles and Rigid Bodies: A Self-Learning Approach" by Mohammed F. Daqaq
In the preface, the author explains of his "flipped classroom ...
- 221
3
votes
3
answers
433
views
short teaching demo on logs; but by someone who uses active learning
I am to give the following for an interview:
"a short 7–10-minute teaching demonstration on logarithms. Please consider this as your first 10 minutes of introducing logarithms as if you have not ...
- 183
-3
votes
1
answer
244
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A role for a non-symmetric equality relation in teaching mathematics? [closed]
First, I will simply observe that it seems to be standard practice, in elementary set theory, to define relations to be sets of ordered pairs. If we had the option of introducing a "symmetric ...
- 372
5
votes
2
answers
562
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In what grade do kids (New York, US) learn common differences?
I'm teaching an after school workshop for a few 7th graders. I was having them try to predict the next item in a complicated sequence. After some failed attempts, one of the kids started analyzing the ...
- 437
4
votes
1
answer
1k
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Intro to Proof: if $x$ divides $y$, then $ x \leq y$
I am teaching a very small intro to proofs class with Dana Ernst IBL book, and came to theorem 2.56. The section is about proof by contradiction but I felt that the solution I came up with is ...
- 141
6
votes
0
answers
195
views
Learning math historically
What is meant by learning math historically (NOT learning math history only, but learning math with a historical development perspective)? I've seen some sources that to learn a math topic X, you need ...
- 349
2
votes
1
answer
2k
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Using tensegrity structure to teach high school math?
I am exploring ideas to design a secondary-level-project-based-10-lessons-unit-learning-plan which can end with a creation from the students involving a tensegrity structure.
such as
or
My general ...
- 229
2
votes
2
answers
85
views
Project Based Learning or Applied Math involving modular arithmetics?
I am searching for ideas to construct Project Based Learning type that involves Modular arithmetics with eventually geometry and could fit in High School level
What could a nice research question ...
- 229
16
votes
1
answer
315
views
Student Conjectures without Oracular Professor
One idea for mid-level college math classes (i.e. after calculus, before highly proof based courses) which I've seen people speak very positively of is to have a portion of the course consist of ...
- 11.7k
11
votes
5
answers
964
views
Number theory for self-study students: books and computer languages
Sometimes students will contact me, as my email is visible. This time, an undergraduate in Sri Lanka has no number theory courses available and is self-studying.
My own experience is that it helps to ...
- 415
7
votes
2
answers
164
views
Resources for Inquiry-based Projects with Undergraduates
I am teaching an undergraduate course which consists entirely of exploratory projects on any interesting mathematical topic. I'm looking for projects where a first-year student who has only taken ...
- 613
2
votes
0
answers
77
views
Request for IBL Script for Putnam-type Problem Solving Course
One of the major benefits of a good IBL script is that it effectively organizes the experience of students so that their effort does not need to be used on such organization. A good script leads from ...
- 6,233
7
votes
1
answer
520
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Polya's "Nearby Problem" Heuristic and Inquiry Based Learning
I've often wondered about the "devise a plan" part of Polya's "How to solve it" outline. What we call "problem solving" can be thought of as what to do when you have no idea what to do. From this ...
- 6,233
7
votes
1
answer
240
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John Dewey and Educative Mathematical Experience
In John Dewey's Experience and Education, he proposes a qualitative measure for an experience (please simply understand this in common usage for the purposes of this question) to be educative. Namely, ...
- 6,233