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Questions tagged [reference-request]

A reference request is a request to be provided with (links to) documentation, official papers, and specs related to one or more specific algorithms or mathematical procedures, to provide a trusted base for what's being said or written.

0 votes
0 answers
59 views

References on maxima and minima serving as a pedagogical context to explore and gain a deeper understanding of real functions

The concept of a function is fundamental and plays a crucial role in various areas of mathematics. For instance, Dubinsky and Harel's book, The Concept of Function: Aspects of Epistemology and ...
Humberto José Bortolossi's user avatar
3 votes
1 answer
448 views

Literature on mathematical intutiion

Is there any literature on mathematical intuition? I would like to read the following, for example. How to train intuition? How to test intuition?
Monday's user avatar
  • 47
1 vote
0 answers
120 views

Book or curriculum for teaching base-16 numeral system to elementary, middle, or high school children?

In 1862, John W. Nystrom promoted the base-16 (hexadecimal) number system, which he called the "tonal system": Project of a New System of Arithmetic, Weight, Measure and Coins: Proposed to ...
Geremia's user avatar
  • 171
1 vote
1 answer
132 views

Is there a mathematics core assessment rubric?

Many universities in USA ask their faculty to perform a "core assessment" where they evaluate (typically) freshman students, near the end of semester, on their understanding of the courses ...
Maesumi's user avatar
  • 1,410
3 votes
2 answers
257 views

Some whiteboard program specialized for "typing" with latex support

Answers to the Previou question seem to suggest some whiteboard programs with latex support. However, my impression is that they are mostly designed for "handwriting" with some electrical ...
Keith's user avatar
  • 133
5 votes
4 answers
278 views

Are some natural languages better for expressing mathematical concepts than others?

I don't know if this is the best stack exchange for this question, but I couldn't think of a better one. Please migrate it to an appropriate stack exchange, if this one is not appropriate. Anyway, my ...
user107952's user avatar
0 votes
1 answer
494 views

How did Grigori Perelman , got all the necessary theory and materials to prove the Poincaré conjecture?

The Poincaré conjecture is one of the millennium problems which have been solved by the famous mathematician Grigori Perelman . As per I know he worked on the problem in isolation for 8 years. I ...
Sillyasker's user avatar
12 votes
2 answers
636 views

ADHD superfocus and motivation for mathematics

I am almost surely ADHD, although undiagnosed. I have colleagues in mathematics who also are, but diagnosed. I have an extremely talented and successful graduate student who is (diagnosed) ADHD. It is ...
Jon Bannon's user avatar
  • 6,173
2 votes
0 answers
131 views

"Tools" (literarily) for solving linear or quadratic equations

Since a few weeks, I teach as a tutor (not from that school) a support course in a German 9/10 class. I quickly noticed a horrible lack of basics. (Partly based on just different names - I had to ...
Hauke Reddmann's user avatar
3 votes
2 answers
107 views

Utillizing Lakatos' "Proofs and Refutations" in Secondary Education

These days I am reading Imre Lakatos's Proofs and Refutations and I can't stop thinking how one could utilize it in the classroom (mostly high school). Some stray half-baked ideas I have had so far ...
Vassilis Markos's user avatar
13 votes
7 answers
2k views

What are some good books on mathematical pedagogy?

I suspect that; just as one must "do" mathematics to learn mathematics, one must have practice teaching mathematics to become a great mathematics instructor. Still, a good book on ...
Mithrandir's user avatar
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 ...
Jochen Glueck's user avatar
6 votes
1 answer
623 views

Theory-practice order vs practice-theory

I heard that there were some studies on what is the best order for teaching math. But I cannot find any papers (probably my English is too poor to google this paper correctly). As I heard idea was: ...
Семён Юрченко's user avatar
4 votes
0 answers
170 views

Studies on the change in effectiveness of pedagogical practices over time

Are there any studies that have investigated this question? Why certain pedagogical practices that used to be effective up to a few years ago, may suddenly become less or even no longer effective? I ...
Mahdi Majidi-Zolbanin's user avatar
7 votes
1 answer
237 views

Research into how students read algebraic expressions

In answering another question What is the justification to teach the (redundant) use of parentheses in multiplications? I was left wondering what we actually know about students' progression in terms ...
TomKern's user avatar
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