Unanswered Questions
84 questions with no upvoted or accepted answers
19
votes
0
answers
258
views
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
516
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
12
votes
0
answers
351
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
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
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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 ...
- 30k
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
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
213
views
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 ...
CommunityBot
- 1
7
votes
0
answers
53
views
Effectiveness of audio / video feedback
Hattie & Timperley (2007) mention a meta-analysis about video or audio feedback with a mean effective size of .64 (Table 2 on page 84). They state that this analysis was part of the meta-analysis ...
CommunityBot
- 1
6
votes
0
answers
75
views
Potential topics for a university level mathematical thinking module
Social science training typically involves statistics as equivalent to "quantitative methods", particularly statistical modelling but also some material about data quality and exploratory ...
- 161
6
votes
0
answers
116
views
Maximize retention
I tutor high school math students. Students often struggle with a problem they had completed few months prior. Like any skill, it's natural to forget what you learned after a while.
As high school ...
- 341
6
votes
0
answers
220
views
Tablet whiteboard app w e-pencil
(I've generalized the original question as @BrendanW.Sullivan suggests.)
I would appreciate recommendations for a whiteboard app for a tablet using an e-pencil. For me: an iPad, using an Apple pencil....
- 30k