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Unanswered Questions

58 questions with no upvoted or accepted answers
6 votes
0 answers
183 views

Catalog of undergraduate's misconceptions / problems while proving

Selden & Selden (2011) listed 41 difficulties their students had in an experimental proving course into 9 categories. Unfortunately I haven't found similar work. Thus, my question is: Is there ...
6 votes
0 answers
330 views

Importance of "Calculus->Analysis Transition Books"?

E.S.E. advisers, I am a college sophomore with a major in mathematics and an aspiring mathematician in the fields of computation theory and cryptography. I am always curious about the importance of "...
6 votes
0 answers
315 views

Links between mathematical folklore and educational success

I would like to ask if, in the research field of mathematical education, some work has been done to investigate the relationship between 1) and 2): mathematical education and student motivation the ...
6 votes
0 answers
177 views

Undergraduate maths research

I am looking for: an undergraduate research program in mathematics/theoretical physics offered online (e.g. via skype or something) given by a good institution which can be followed while attending ...
5 votes
0 answers
176 views

Comparison of texbook for "how to write proofs"

I posted this question in the math stackexchange https://math.stackexchange.com/questions/4681694/comparison-of-textbooks-on-how-to-write-proofs and one person suggested that I cross-post it here. I'...
5 votes
0 answers
130 views

Is it possible to learn some basic mathematics using an app?

I am interested in developing an app for students that are starting a grade career involving mathematics. It is a real problem that they start with almost no knowgladge of basic mathematics and there ...
5 votes
0 answers
206 views

Montessori mathematics for HS/college students

My children attend a Montessori school (as did I when I was a child), and I have visited several other Montessori schools and spoken with their teachers. Numerous times I've had Montessori teachers ...
5 votes
0 answers
162 views

What do you think, is teaching on an actual board more efficient than using an online board?

I am a sophomore math undergraduate and so far all of my university courses have been online due to the pandemic. I am really curious what you guys think about the efficiency of teaching mathematics ...
5 votes
0 answers
100 views

Objectives for group work in undergraduate pure maths

Whether we are preparing undergraduates for research in industry or academia effective collaboration is an important higher skill. I think there are two aspects to this in mathematics - thinking ...
5 votes
0 answers
172 views

Intuition: 5 regular polyhedra, 6 regular 4-polytopes, and then 3 regular d-polytopes

I have struggled to offer an intuitive explanation (to U.S. college students) why the number of regular polytopes in dimension $d$ is: $d=2$, number: $\infty$. $d=3$, number: $5$, the five Platonic ...
5 votes
0 answers
114 views

the role of context in mathematical discussions of units and measurement in web design

Knowing that pedagogy for each age group is different, I will say right off the bat I am talking about working adults. I am noticing more and more, that despite people's phobias about math, they are ...
4 votes
0 answers
176 views

Is it better to teach category theory in the background of type theory than set theory?

I have been going over some applied instances of category theory in Programming, and also by a book by conceptual Mathematics by Lawvrere, and I think an issue of applying category theory to real life,...
4 votes
0 answers
105 views

Studies on the effects of using online platforms in teaching mathematics on students' beliefs about mathematics

Are you aware of any research examining the impact of utilizing online platforms in teaching mathematics, on students' beliefs about mathematics? To give you an example of the kind of beliefs that I ...
4 votes
0 answers
62 views

Looking for papers with teaching-oriented style

I am looking for papers that have the similar style to Hervé Lehning's 1989 The American Mathematical Monthly article "From Experimentation to Proof" (PDF link via lehning.eu). It's like ...
4 votes
0 answers
279 views

How must the "ungrading" idea be adapted to work in a math class?

After seeing no direct responses to this question, I'll instead be more direct myself. Ungrading is a buzzword being tossed about for assessing students' progress without focusing on quantitative ...

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