Questions tagged [inquiry-based-learning]

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5
votes
2answers
154 views

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 ...
1
vote
0answers
149 views

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 ...
6
votes
0answers
138 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 ...
2
votes
1answer
253 views

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 ...
2
votes
2answers
48 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 ...
16
votes
1answer
255 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 ...
10
votes
4answers
443 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 ...
7
votes
2answers
113 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 ...
2
votes
0answers
62 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 ...
7
votes
1answer
368 views

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
votes
1answer
126 views

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, ...
8
votes
1answer
143 views

Good apps on the iPad for inquiry-based exploration in a quantitative reasoning course

I'm teaching a quantitative reasoning course at a two-year community college and I'm endeavoring to be as inquiry-based as possible in my teaching. We have access to class sets of iPads, and I'd like ...
8
votes
0answers
175 views

Moore method projective geometry

Has anyone written a set of Moore method notes for synthetic projective geometry? It seems like it would be well-suited, but I haven't been able to find any such thing on the Internet.
11
votes
3answers
554 views

How can inquiry-based learning be used in a college classroom?

I am not an expert on inquiry-based learning, but it seems to be a useful teaching technique to use in smaller classrooms. Since many college math courses are quite huge, I was wondering how inquiry-...
13
votes
3answers
612 views

Recommendations for inquiry based/aided discovery textbooks

I've recently dipped my toes into the world of number theory; and I've bought a book that to me is quite unconventional: R. P. Burn, A Pathway into Number Theory. I've yet to put the book through its ...
16
votes
5answers
719 views

Discovery-based and inquiry-based learning

In general, I think (and I am told by students) that I am good as a tutor. However, I would like to become more rigorously familiar with the discovery-based and inquiry-based learning applied to ...