Unanswered Questions
264 questions with no upvoted or accepted answers
19
votes
0
answers
263
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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
204
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
517
views
Was math education following a western trend?
After some research on the recent history of math education in the U.S., from the new math movement to the beginning of the 21st century, I understood that the historic flow of the math education ...
- 1,122
13
votes
0
answers
322
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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
12
votes
0
answers
353
views
Books on meta-cognition that would be relevant for those involved in mathematics?
In 1992 Schoenfeld wrote an excellent "review" of (among other things) metacognition as it applies to mathematics: whether from the perspective of a student, or a teacher.
Metacognition, as quoted ...
- 7,722
11
votes
0
answers
489
views
Shanghai math -- what is it, and how good is it?
Some schools in the UK are adopting English translations of a grade school math textbook from Shanghai. The book appears to be designed to work with a specific teaching approach, the only specifics ...
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 ...
- 7,475
10
votes
0
answers
204
views
Examples for advanced math courses based on measurable learning objectives
Background. I teach math at a German university (both undergraduate courses and courses for Master programmes), mostly for students who major in mathematics or very similar programmes. Students ...
- 2,325
10
votes
0
answers
171
views
toys/manipulatives for exploring graph theory
I was talking recently with my daughters about non-planar graphs, like $K_{3,3}$, $K_5$, and the 7 bridges of Königsberg. They got pretty interested in it, and seemed to catch on to the core ideas. ...
- 201
10
votes
0
answers
715
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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 ...
- 30.1k
10
votes
0
answers
457
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 ...
- 1,951
10
votes
0
answers
139
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
10
votes
0
answers
126
views
How can instructors bridge the gap between an engineering course in stochastic systems and a more rigorous Stochastic Processes course?
Systems and electrical engineering graduate students often take a course on stochastic systems (a.k.a. "Probabilistic Systems Analysis"). A typical course will present such topics as multivariable ...
CommunityBot
- 1
9
votes
0
answers
167
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
359
views
Long division layout in French-speaking Switzerland
This question is addressed to those familiar with mathematics teaching in French-speaking Switzerland.
The main textbook in use in grades 3 to 5 in the canton of Vaud from 1957 to about 1972 appears ...
- 7,475