Unanswered Questions
93 questions with no upvoted or accepted answers
19
votes
0
answers
258
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Research on the use of outlined / structured proofs in instruction
Has there been any research into comparing the effectiveness of using "structured proofs" or "outlined proofs" in higher level mathematics education, compared to traditional "prose" proofs?
For the ...
- 2,731
13
votes
0
answers
203
views
What studies exist, comparing the efficacy of exercise sheets with or without worked solutions?
I've been tutoring mathematics at university level for over 10 years, and one of the more common requests from students is worked solutions for sheets of exercises. Most educators I've worked with ...
- 231
13
votes
0
answers
319
views
Exercises to go with Simon's "Representations of finite and compact groups"
I am teaching an independent-reading course from Simon's "Representations of finite and compact groups". I chose this book based on fond memories from a previous reading course in which I had ...
CommunityBot
- 1
11
votes
0
answers
139
views
Literature on student understanding of assumptions
In a discussion with a physics lecturer he mentioned that one major area where students fail is understanding assumptions - for example, if we are interested in two objects hitting each other and then ...
- 7,374
10
votes
0
answers
706
views
Use of Lockhart's *Measurement* in a course?
I greatly admire Paul Lockhart's
Measurement
(Harvard Press).
Many of you know him through
A Mathematician's Lament.
One review of Measurement said,
“Here Lockhart offers the positive side of the ...
- 30k
10
votes
0
answers
452
views
What is known about discrimination and difficulty in test questions?
I am interested in looking at any design resources or "guiding principles" on the distribution of different types of question difficulties on evaluative examinations.
We can use Item Response Theory ...
- 1,941
10
votes
0
answers
135
views
Studies into the effects of having fewer classes per term
Have there been any studies done into the effect of having fewer classes per term on a student's comprehension of their mathematics course material? Also are there any examples of schools that have ...
- 33
9
votes
0
answers
166
views
Course materials for developing a mathematical theory from "natural questions to ask"
Educational setting.
I'm teaching math courses - typically consisting of lectures, weekly homework sheets, and an exercise class where the homework questions are discussed - for undergraduate and ...
CommunityBot
- 1
9
votes
0
answers
105
views
Research into the mathematical education of adults with no prior formal mathematical experience
I am curious about the experiences of people who had no formal mathematical training in their youth, but learned mathematics as adults.
I imagine that there are a fair number of people in the US who ...
- 25.7k
8
votes
0
answers
419
views
The importance of note taking in mathematics
I'm asking this question right now due to the fact that a lower back problem has made it very difficult for me to do much but lie down for large sections of the day when it flares up, and the fact ...
- 4,845
8
votes
0
answers
585
views
Can Compare and Contrast be used in Mathematics Teaching and Research?
I happen to be a fan of the "theme and variations" approach to problem solving. In certain cases, a certain question had drawn enough to attention to generate dozens of solutions.
Ways to Prove the ...
CommunityBot
- 1
8
votes
0
answers
121
views
3-D printing of formulas encoded in LaTex for the visually impaired?
There is software available on the Net for 3-D printing of math expressions encoded in LaTex. What such technology is available off-the-shelf for the visually impaired to learn mathematics? And, ...
- 627
8
votes
0
answers
91
views
Literature on skill transfer
Motivated by this other question I'm interested in getting to know the literature on mathematics skills transfer within itself.
All I know is what I've read in David Perkins's book "Knowledge as ...
CommunityBot
- 1
8
votes
0
answers
294
views
What else we miss?
Context:
Some time ago there was a post on a brief study conducted by Alexis Wiggins (she was shadowing two students for two days), you can find it here, which got quite an attention. One interesting ...
- 649
8
votes
0
answers
330
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Guided Lecture Notes for Calculus
Last semester I taught Linear Algebra using the standard textbook of Lay. Online one can find nice "class handouts" that serve very well as lecture notes for students to follow along with during class....
- 6,173