Unanswered Questions
82 questions with no upvoted or accepted answers
19
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0
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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 ...
13
votes
0
answers
203
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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 ...
13
votes
0
answers
319
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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 ...
11
votes
0
answers
139
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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 ...
10
votes
0
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452
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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 ...
10
votes
0
answers
135
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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 ...
9
votes
0
answers
166
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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 ...
8
votes
0
answers
193
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Are there standard questions for testing how an instructor grades calculus?
My institution is now in the process of "standardizing" our calculus classes. One issue we have is the variation among instructors in grading problems. I am interested if there are ways to objectively ...
8
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0
answers
313
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Compare depth and scope of math syllabus between Malaysia's STPM, Gao Kao and A level
Are the math syllabi of these three exams comparable? Which syllabus' scope is wider and deeper? Which helps students to be better prepared for math in undergraduate level?
I believe that A level is ...
8
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0
answers
121
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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, ...
8
votes
0
answers
91
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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 ...
8
votes
0
answers
294
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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 ...
8
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0
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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....
8
votes
0
answers
213
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Effective use of Maple T.A
I am considering using Maple T.A. as a tool for formative assessment (and possibly at some stage, summative assessment) for courses such as calculus and linear algebra. What are your experiences and ...
7
votes
0
answers
214
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How to recognize possible dyscalculia in a student?
I am looking for input/advice regarding whether a student I just began tutoring may have dyscalculia - and, if so, how to go about broaching the subject / assisting them as best as possible.
I'd ...