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.

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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
  • 131
5 votes
4 answers
262 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
313 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 ...
Soumyadip Das's user avatar
12 votes
2 answers
335 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
124 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
94 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
1k 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
154 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
611 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
167 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
224 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
  • 4,022
4 votes
1 answer
162 views

About instructor's manual in math textbooks: principles, design, uses and impact

It is common that school math textbooks are supplemented with instructor's materials (answers, hints and guidelines). Are there scientific studies on how instructor's materials impact math teaching? ...
Humberto José Bortolossi's user avatar
-4 votes
2 answers
339 views

Is it nonsensical to try to 'prove' Euler's 'formula' in real numbers? What is Wikipedia/proofwiki even doing? [closed]

Edit re the close vote: I guess this 1 of those questions whose on-topic-ness depends on the answer. If the answer is no, then well maybe it's off-topic. But if the answer is yes, then I believe it's ...
BCLC's user avatar
  • 574
5 votes
2 answers
276 views

Where can I find a collection of bad/misleading data visualizations?

Are there any collections or blogs of bad data visualizations? I know I've seen such misleading graphics in the news or in print, made misleading either maliciously or thoughtlessly, but I usually see ...
Mike Pierce's user avatar
  • 4,737
10 votes
2 answers
747 views

Real-world applications of taxicab metric

The taxicab metric can be used to measure distances in idealized gridded cities. However, usually this serves only as a fun exercise for students. I'm looking for engaging (as non-technical as ...
Paula's user avatar
  • 251
10 votes
10 answers
964 views

What are examples of math-themed sci-fi appropriate for students?

What are examples of sci-fi books or short stories that have a mathematics theme? I'd like to have a pool of examples in mind that I could refer students to. The only example I've got in mind right ...
Mike Pierce's user avatar
  • 4,737
3 votes
1 answer
62 views

Resource for International Comparison of Math Education Logistics

Are there resources that compares/lists crunchy facts about the logistics of math education in different regions or countries? I'm talking facts like: Do they use paper homework versus and online ...
Mike Pierce's user avatar
  • 4,737
8 votes
1 answer
261 views

Ball rolling down curve simulator

I am preparing a seminar on mathematical discovery for beginner's students, and one of the topics I plan to cover is the brachistocronic/tautochronic curve. For this purpose, I would like to let the ...
M Carl's user avatar
  • 183
3 votes
0 answers
102 views

Where can I find examples of statistics projects? [duplicate]

I am going to teach an undergraduate statistics course for the first time next semester. I would like students to do a project by applying some of the things they learned to real-world data. Is there ...
user avatar
5 votes
1 answer
259 views

For 15 year olds, are there exercises — with full solutions — on the Fence Post or Off by One error?

Which books contain practice questions — preferably with full solutions — to assist 15 year olds with the Fence Post or Off by One error? Most students at my institution have not heard of this name, ...
user avatar
2 votes
0 answers
73 views

Where can I find the solutions manual to Beginning Statistics with Data Analysis by Mosteller, Fienberg and Rourke?

I am planning to teach a course on Statistics using Beginning Statistics with Data Analysis by Mosteller, Fienberg and Rourke. On page xii of the book, the authors said "A solutions manual is ...
Zuriel's user avatar
  • 4,265
19 votes
9 answers
3k views

What is the rationale for distinguishing between proper and improper fractions?

I cannot recall ever hearing the terms "improper fraction" and "proper fraction" outside of an elementary and middle school setting. At some point in my mathematics education ...
Improve's user avatar
  • 1,881
13 votes
3 answers
1k views

Are there research studies that attempt to determine the value of a "Growth Mindset?"

A "growth mindset" can be defined this way, see this article: In a fixed mindset students believe their basic abilities, their intelligence, their talents, are just fixed traits. They have ...
Chris Cunningham's user avatar
13 votes
0 answers
190 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 ...
Theo Bendit's user avatar
6 votes
0 answers
212 views

Are there measurements of how much mathematics people remember after high-school?

These days I got curious about something: Are there measurements of how much mathematics people remember after high-school?
Red Banana's user avatar
6 votes
1 answer
332 views

Research on Waldorf/Steiner mathematics education

I am mildly interested in research on mathematics education in the Waldorf/Steiner educational context, primarily in the upper secondary school setting, but not exclusively. Information about Waldorf/...
Damian Reding's user avatar
2 votes
1 answer
118 views

Reference request: an introduction to triangular, square, and other figurate numbers

There are dozens (maybe thousands) of websites that explain what triangular numbers, square numbers, etc. are. I'm searching for a printed book that includes this material, preferably at a level that ...
mweiss's user avatar
  • 17.3k
0 votes
3 answers
266 views

Highly intuitive yet comprehensive and easily readable (student friendly) book on linear algebra which do not focus much on applications, just basics

I came to know about Gilbert Strang's two books, "Introduction to Linear Algebra" and "Linear Algebra and its Applications". The first is the one used as the text in the 18.06 ...
Abhishek Ghosh's user avatar
1 vote
1 answer
216 views

An intuitive (non rigorous) text book on graph theory which is student friendly with vivid illustrations

Background Hello, I am an undergraduate in CS. I would like to study Graph Theory on my own (self-study) for a competitive examination (named GATE). It is an examination for undergraduates and as such,...
Abhishek Ghosh's user avatar
24 votes
7 answers
3k views

How do you coach students who often make small errors?

Some students are prone to making small calculation errors. Not errors in understanding, but errors like adding or multiplying integers incorrectly, or dropping a negative sign. Unsystematic errors in ...
Mike Pierce's user avatar
  • 4,737
64 votes
17 answers
9k views

Is there a virtue to learning how to compute by hand?

I have been professionally tutoring a wide range of students (from elementary school through graduate school) for many years. Most of them are from the United States. I generally focus on helping my ...
Geoffrey's user avatar
  • 890
11 votes
2 answers
288 views

Reference on study habits; cramming vs studying a bit every day

I am teaching Linear Algebra this semester, with pre-recorded classes and weekly meetings, and the students have a few short and simple exercises to solve every week, which count a bit (20%) to their ...
Luiz Cordeiro's user avatar
5 votes
1 answer
679 views

Is there any video lecture series on Graph Theory which uses "Introduction to Graph Theory" by Douglas West? as the text

I am interested in learning graph theory, and from many resources I came to know that Douglas West's Introduction to Graph Theory is a good textbook. But since I am doing self-study, it is at times ...
Abhishek Ghosh's user avatar
5 votes
1 answer
235 views

Sensible amount of repetition 7 year old

We are now in lock-down, so while homeschooling my son I get to se exactly what he does for math. He has been getting a huge amount of repetitive practicing of really simple math, despite being quite ...
Ivana's user avatar
  • 53
9 votes
3 answers
288 views

Seeking references for why it is good that students understand why mathematical rules work

I am currently advising a student at his final project (it is a graduation course for people who will become math teachers). We've chosen to pick some basic mathematical rules which are (or at least ...
Anderson Brasil's user avatar
8 votes
1 answer
211 views

Effects of AI based education in mathematics in PISA like studies

One of the biggest revolutions in education in the last few years seems to be the use of artificial intelligence to offer adaptive individualized learning environments as done by companies like ...
student's user avatar
  • 181
9 votes
6 answers
1k views

Statistics, for the mathematically rigorous

I don't know where I can find a rigorous statistics course or textbook. The closest thing I can think of is measure-theoretic probability theory, but I wouldn't really call that "statistics"....
John Clever's user avatar
2 votes
0 answers
101 views

Reference request for 1960s-1970s Australia/NZ primary-level textbooks

Where could I find a list, and ideally discussion, of primary school mathematics schemes (textbook series) in common use in Australia and New Zealand in the period immediately following decimalization ...
Dave's user avatar
  • 51
6 votes
2 answers
240 views

Measuring the effectiveness of one-on-one instruction?

I've been recently thinking a lot about what would be the "best possible instruction method", and in regards to that, I've been drawn the question of what would be possible if a student had ...
yoniLavi's user avatar
  • 694
5 votes
0 answers
266 views

A video game for teaching the concept of a mathematical proof

Two students in my game development course would like, as a final project, to develop a video game for teaching mathematics. In contrast to the many other games for teaching maths, which focus mainly ...
Erel Segal-Halevi's user avatar
5 votes
1 answer
1k views

Choice of textbook for an undergraduate abstract algebra course

Currently a 5th year PhD student, and I've been fighting tooth and nail to teach one of our junior-year honors sections in undergraduate algebra next fall (desperately hopeful we'll be able to return ...
jons_stupid_questions's user avatar
2 votes
1 answer
147 views

Recommendation for Discrete Mathematics

I'm taking a Mathematical Structures course as a 2nd year math major. Our course textbook is Discrete mathematics and Its Applications, by Rosen. It's been very difficult finding good content on ...
Lex_i's user avatar
  • 496
3 votes
0 answers
115 views

References for visualizing numbers in base 10 flats

Base 10 blocks (units, rods, flats and cubes) are a widespread manipulative material for teaching place value. However, piling rods on top of each other is not very stable, so it is not easy to build ...
Jaume Oliver Lafont's user avatar
4 votes
1 answer
198 views

Is there a study on how often modern teaching methods versus traditional methods are used in a math classes?

Most of the students I've encountered seem to have had the same sort of math education I've had, the standard lecture, book readings, homework problems and exams. In my own experience and in my ...
David Elm's user avatar
  • 485
9 votes
2 answers
621 views

Fear of notation and hazily-appeared writing in Mathematics

I am looking for literature related to fear of notation in mathematics. It is even heard that the font size and font type make a reader reluctant to study mathematical literature, often lecture notes,...
Consider Non-Trivial Cases's user avatar
1 vote
1 answer
60 views

Reference Request: Suitability of a text and corresponding video lecture series request for "Matroid Theory"

I am an undergraduate student from the CS background. While reading a portion of the text "Introduction to Algorithms" by Cormen et. al. I came across a section of Matroids. I was unable to ...
Abhishek Ghosh's user avatar
8 votes
2 answers
289 views

Math Education for Students who use Right-to-Left Written Languages

Does anyone know of any studies or have personal experience dealing with difficulties (if any) faced by students studying mathematics if they come from countries which use languages written from right-...
Ari's user avatar
  • 379
3 votes
4 answers
701 views

Textbook to study group theory as a part of Discrete Mathematics

I am a student from CS background. I have been following "Discrete Mathematics and its Applications" by Kenneth Rosen, though it is a good book, but it does not cover group theory. I would like to ...
Abhishek Ghosh's user avatar
16 votes
2 answers
1k views

What are some resources for "ungrading" in a math class?

Most of the stuff I'm finding online about ungrading are either general descriptions of its virtues, or personal accounts from instructors from subjects other than math. Does anyone know any resources ...
Mike Pierce's user avatar
  • 4,737
9 votes
2 answers
1k views

"Feynman effect" in teaching mathematics

In his book "Surely you're joking Mr. Feynman", Richard Feynman relates the following story. As he was supervising a group of calculators for Manhattan project, he at some point gave them a lecture on ...
Kostya_I's user avatar
  • 1,231

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