Questions related to the teaching and learning of mathematics. Consider asking your question at Mathematics Educators.SE instead.

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2answers
291 views

Problem understanding math

sorry for my english but I am a foreigner. I'm writing to ask you for help with a problem I have with mathematics. I'm going to go to university physics but I have serious problems as regards ...
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1answer
223 views

Average Amount Of Math or Math-oriented Courses Taken Each Semester [closed]

I was wondering, from all of you, what the average amount of math and\or physics courses you were/are able to tolerate in one semester.
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6answers
1k views

Why do new rules cause students to forget and misapply older rules?

I teach at a community college. I have taught everything from arithmetic to linear algebra. I have also taught at 4-year schools, but at present, I'm devoting my energies to the problem of helping ...
10
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0answers
362 views

How to be a bird

Freeman Dyson has famously characterized two styles of mathematics, that of the bird and that of the frog. I was asked recently the following question, which I don't know how to answer: If, in ...
2
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1answer
90 views

What does brace below the equation mean?

An example of what I am trying to understand is found on this page, at Eq. 3. There are two braces under the equation... What is the definition of the brace(s) and how does it relate to Sp(t) and ...
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4answers
841 views

Best way of introducing determinants in a linear algebra course

What is the best way of introducing determinants in a linear algebra course? I want to give real life examples of where the determinant is applied. It should have a real impact.
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11answers
2k views

Good examples for mathemathical problems/statements that are easely solvable/provable in one theory and hard to solve/prove in another

Let $P$ be a mathematical statement or a mathematical problem. I am looking for a couple of nice examples for $P$ that satisfy the following criteria: Given two (or more) mathematical points of view ...
5
votes
2answers
271 views

Next Step in Mathematics Education

I'm not sure that this is the appropriate forum for this question but the snooping around that I've don of the site makes me feel as if I'll get solid advice. I'm currently finishing an introductory ...
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votes
4answers
4k views

Where to begin in approaching Stochastic Calculus?

I have experience in Abstract algebra (up to Galois theory), Real Analysis(baby Rudin except for the measure integral) and probability theory up to Brownian motion(non-rigorous treatment). Is there a ...
4
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1answer
101 views

Proof of existence of the number of solutions

I'm not sure how to tag this question, as I don't know what area of math covers these problems. For example, I know two or three ways of proving that $$ S=\sum_{k=0}^{\infty}p^{k}=\frac{1}{1-p} $$ ...
2
votes
2answers
176 views

Numeric synaesthesia: uses of and advice for learning math.

It turns out that my adolescent son might have numeric synaesthesia-- numbers have specific colors and possibly other distinguishing characteristics for him. He has shown that he can commit long ...
0
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0answers
352 views

Teaching the meaning of division to children

When you teach children division, there's an issue of what $a \div b$ means. Here are two answers: 1) Take $a$ things and arrange them in $b$ groups of equal size. $a \div b$ is the number of ...
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3answers
87 views

Why change a given basis?

Why would we want to transform a vector in our normal basis (xyz axes) to another basis? The only situation I can recall is when we are looking at a force applied on an inclined plane. Are there any ...
2
votes
1answer
579 views

Are “deterministic” and “idempotent” just two different names of the same concept? [closed]

Sometimes I encounter the term "deterministic" and sometimes I encounter "idempotent" in describing functions . Are they just ...
2
votes
1answer
490 views

Linear algebra and Multivariable calculus prerequisites for Stochastic Calculus

Which topics are considered "graduate-level" for the following subjects: Linear algebra Multivariable calculus On Internet, it is said that you need "graduate level" Linear algebra and ...
3
votes
4answers
338 views

Real World Usage Examples and Historical Origin of Beginning Algebra (HS Algebra I and II)

I have a high schooler who I need to get energized about math. She excels in other sciences, but does not in math. The issue, I learned after some discussion, is that she doesn't find math interesting ...
4
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1answer
96 views

the nature of numbers?

I am currently relearning basic math - including; fractions, decimals and percentages. I am learning from various different sources, and what gets me is that they only teach math in forms of methods. ...
0
votes
1answer
42 views

the difference between showing and checking

So we had a quiz in math a couple of days ago and I had gotten none of the questions wrong on the quiz. I was very angered to find out that I had been marked down 5 points for not checking my work and ...
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5answers
3k views

Are there any memorization techniques that exist for math students?

I just watched this video on Ted.com entitled: Joshua Foer: Feats of memory anyone can do and it got me thinking about memory from a programmers perspective, and since programming and mathematics ...
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1answer
134 views

Randomly place $n$ balls in $n$ buckets - how many empty buckets?

A question posed on John D. Cook's blog asks: Suppose you have a large number of buckets and an equal number of balls. You randomly pick a bucket to put each ball in one at a time. When you’re ...
2
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2answers
101 views

The evaluation of proofs

I searched this community upon proofs and found some interesting topics. Yet I would like to know how you guys achieved to write your own proofs. What I mean is, my course describes proof as something ...
3
votes
2answers
738 views

Roadmap for maths self-study for a physics undergrad wanting to pursue research in maths [closed]

I am a second year physics undergrad. After spending about an year exploring mathematical physics (QFT,solitons, etc), I have realized that maybe theoretical physics isnt my passion after all, and I ...
0
votes
1answer
134 views

teaching a little nonlinear PDE to an undergraduate

I would like to teach a little nonlinear PDE to an undergraduate who is taking a course in second-order linear boundary value problems. I have never taught nonlinear PDE before, although it is my ...
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5answers
555 views

Inspiring a new generation

Tomorrow is a very special day for both my students and I: we will be starting a calculus course. I'm looking for some nice quotes to read to them to convey just what a complete game changer calculus ...
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2answers
135 views

What engineering major in undergraduate is compatible for taking a master in Mathematics?

Short question: What the engineering major in undergraduate is compatible for taking a master in Mathematics?
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2answers
185 views

Why begin with distributions and then move to tempered ones?

After reading several books on distribution theory, I got a strange feeling. Why do they all begin with the theory of distributions and then move on to tempered distributions? Why can't we just start ...
12
votes
3answers
1k views

What should a math graduate know? [closed]

There are a lot of undergraduate courses out there and most of them agree on certain things, with regard to the subjects covered. Courses that include mathematics (engineering, physics, etc) are ...
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0answers
59 views

Where can I get “computer based math” education as defined by Conrad Wolfram?

Textbooks, courses, and other resources would be helpful. http://www.computerbasedmath.org/
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3answers
7k views

What is the most effective way of teaching mathematics to my 7 year old kid?

I want to help my kid excel in Math. I can see she has some trouble with additions,subtraction, multiplication and division. Will it help if I let her memorize the multiplication table? or use ...
2
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0answers
91 views

Where read recent developments in Math presented in a way that is easy to understand?

I posted a similar question a few months ago, but I don't think people understood my question. I often find articles such as this which discuss exciting developments in science. I have a great ...
15
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1answer
326 views

Do lay persons really believe that all of mathematics is known?

I once found a professor of medicine to be under the impression that everything in mathematics is already known. It's probably commonplace to hear that the masses labor under that misconception. In ...
2
votes
1answer
150 views

“limit along a path” equivalent to usual definition of limit?

At the institution where I teach, regrettably, we do not teach students the real definition of the limit in our calculus classes. I am teaching a little complex analysis, and I would like to use the ...
6
votes
6answers
6k views

Steps to Re-Learn Mathematic the right way

I was always branded weak mathematics back at school though i loved it. The reason was that I was not having many basics in maths. Due to this problem I stopped learning Maths after my 10th grade. But ...
2
votes
3answers
6k views

Sum of digits and product of digits is equal (3 digit number)

My child got a question in school (grade) that is: Find biggest and smallest 3 digits number, which has sum of it's digits equal to product of those digits. Help please since I cannot explain my ...
5
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2answers
177 views

How effective is Wikipedia for first line of attack?

I am learning some pretty disconnected concepts of mathematics for a project I am working on. I was reading about matrices and suddenly had to know about Markov Chains and that lead me to read about ...
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4answers
4k views

Degree choice — Math or physics

I realize that it is of bad form to cross-post. However, on this matter I very much hope to hear arguments from all sides... I hope to become a physicist focusing mainly on the theoretical side in ...
5
votes
3answers
2k views

Advice for choosing an MSc or PhD.

I have recently graduated from the University of Warwick with a 1st Class in my Master of Mathematics(MMath) degree and would really like to continue my education in mathematics by doing a PhD. The ...
4
votes
1answer
198 views

Skip count “starting at one”

My daughter is taking a second grade math class and they are learning to "skip count" I am guessing this means to count by [n]. The directions say "Start at 1. Skip count by 2." and the worksheet has ...
3
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1answer
627 views

Fuzzy C Means mathematics tutorial [closed]

Hello I am looking for help on understanding the maths of Fuzzy C Means as explained here: Fuzzy C Means I was hoping for a broken down explantion of the actual math. I have tryed googling for ...
17
votes
5answers
1k views

Is the golden ratio overrated? [closed]

While reading many sources and watching many video's about nature and physics I wonder if the golden ratio is really that often occurring in nature and physics ? If I look on the Wikipedia pages I see ...
1
vote
2answers
4k views

GRE Probability question

How many 3-digit positive integers are odd and do not contain the digit 5 ? My attempt: 100-999 3 -digit integers, 900/2=450 odd numbers. Now how to calculate odd numbers which do not contain digit 5 ...
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7answers
448 views

Common inadequate definitions

I had the good fortune of assigning the following problem on the first day of my freshman honors calculus course: Is $a$ contained in the interval $[a,a)$? Explain. The majority of my students ...
4
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1answer
993 views

Relevance of Euclidean geometry to modern mathematics

I'm interested whether, barring the reasons such as the importance of historical narrative and having an illustrative example, one should learn (synthetic) Euclidean geometry. To make such an inquiry ...
5
votes
7answers
16k views

Geometry triangle question

In the figure below, AB=BC=CD. If the area of triangle CDE is 42, what is the area of triangle ADG? I think triangles are similar. Are there any properties of similar triangles regarding their area. ...
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votes
7answers
4k views

What are some good math specific study habits?

What are/ were some of your good mathematician's study habits that you found really worked for you? I'm a CS major at a respected school and have a solid GPA... However, I definitely lack when it ...
3
votes
1answer
79 views

Symbolic understanding

In mathematics, the symbols represent things with clear and precise meanings. My question is regarding the experience of reading/doing mathematics. When you are reading some piece of mathematics, is ...
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0answers
162 views

Undergrad research gateways

This question is intended as public service to mathematics. It is meant to benefit undergrad research students and maybe even researchers wishing to broaden their expertise and learn something away ...
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votes
14answers
9k views

Why do we need to learn integration techniques?

After a lifetime of approaching math the wrong way, I took two college math courses this quarter with a newfound zest for math. These classes are integral calc and multivariable calc. Integral calc ...
7
votes
4answers
1k views

Expanding problem solving skill

I have a great passion for Math but my lack in problem solving skill always keeps me away from the "good stuff". I always wanted to be better at Math and one of the things I figured out was to keep ...
2
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0answers
191 views

MathJax (or something like it) as a classroom “blackboard”

At the risk of possible overlap with this (9-month-old) question Chatting about mathematics (with real-time LaTeX rendering) what is the best desktop application now for running MathJax in the ...