Unanswered Questions
68 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
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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
480
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
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
8
votes
0
answers
377
views
"Extension Mathematics" by Tony Gardiner
I would like to know if anybody has experience with the British textbook series Extension Mathematics in three volumes, by Tony Gardiner.
It claims to be "the first structured KS3/S1-S2 programme for ...
- 587
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
7
votes
0
answers
1k
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Teaching a Pre-Calculus Course using Basic Mathematics by Serge Lang
I am considering using Basic Mathematics by Serge Lang as the primary text for my High School Pre-Calculus course. My students have all spent a year working through the first six books of Euclid and ...
- 299
6
votes
0
answers
157
views
What are the differences between the $n$ permutations of the Edwards & Penney Differential Equations books?
Edwards and Penney are the authors of a popular differential equations textbook. Bizarrely, there seem to be $2^4$ permutations of the title:
Some versions have "Elementary" and some don't
...
- 119
6
votes
0
answers
118
views
Is there ADA-compliance certification for mathematics text books?
What factors are there to consider when adopting a text as far as ADA (Americans with Disabilities Act) is concerned? Is there a certification? What do you look for in the digital version of the text? ...
- 1,410
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
89
views
Long-form, multi-step, skills-integrating applied mathematics problems in calculus I, II, III
When recently teaching Calculus II to college students, I instructed my students to read and be ready to work through the first 8 or so questions of James Walsh's climate modeling differential ...
- 161
6
votes
0
answers
147
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Flow diagrams and summarizing strategies in proof-computation courses: good or bad for learning? Unsuitable for Inquiry-based learning?
For concreteness lets keep our discussion to calculus courses where there is a balance of proof and computations (computing limits but also doing epsilon-delta proofs)
I can understand that in more ...
- 311
6
votes
0
answers
192
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Which calculus textbook is aligned the most with the CollegeBoard course description?
The CollegeBoard website lists many AP calculus BC references.
But it also mentions that "The materials on this List range in alignment from 59% to 100%."
So, which of them is aligned the most with ...
- 21.7k