Questions related to the teaching and learning of mathematics.

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14
votes
8answers
2k views

What math should a programmer know?

I am an application programmer focussing on Line Of Business (LOB) applications. I am from non-mathematics and non-CS background. What mathematics should I learn which help me improve my programming ...
3
votes
4answers
391 views

Factoring $ac$ to factor $ax^2+bx+c$

I was watching a first-year high-school-algebra student struggle with factoring quadratics last night. Given a quadratic $ax^2+bx+c$ (I'll give you the exact example in a moment), her method — ...
2
votes
2answers
389 views

Proofreading services for mathematical texts

Are there any reputable proofreading services out there for texts with mathematical content? I may need such a service soon. My native language is not English and, even if it were, I would want the ...
0
votes
1answer
38 views

Loss estimation for replacement of stolen item

If an item of price $x$ is stolen from me or lost (assume that it is never going to be found again or returned to me), and I replace it by buying it again, but at its current price $y$, what is my ...
2
votes
1answer
295 views

any Math game for kids?

I need to plan a "game" for kids about 10-11 years old that involves mathematics and some physical activity or game. It must be short-time and not very difficult because it's a stage of a big game. ...
9
votes
1answer
516 views

Undergrad Student Trying to Figure Out What to Study

this is my first time on stack exchange and I am seeking advice for my future studies. Some background first; I am a undergraduate student pursuing a degree in mathematics and I hope to pursue ...
2
votes
1answer
379 views

General definition of growth in mathematics

From high school math one knows "linear growth", "exponential growth", "logistic growth", "bounded growth" etc., but is there a common accepted general definition of "growth" which covers the special ...
1
vote
1answer
164 views

Expanding squares and simplification of equations

as i'm reading a paper "An Underdetermined Linear System for GPS" By Dan Kalman i understand the paper but when i traced the equations there's something i don't understand ,may be my mathematics is ...
3
votes
3answers
2k views

Masters in Actuarial Science

I am applying to a grad school for the Masters in Actuarial Science. Now i am getting cold feet. I do love math, i was always good in math (not excellent or a genius). Did all adv. calculus classes ...
2
votes
2answers
352 views

Good math software [closed]

I have finally decided to go more deep into math and cs, so to do that I will need proper tool, math tool. Could you please tell me what's the best open source math tool on the web today, since as far ...
66
votes
16answers
10k views

How do you explain the concept of logarithm to a five year old?

Okay I understand that it cannot be explained to a 5 year old. But, how do you explain the logarithm to primary school students?
3
votes
1answer
351 views

Learning approach of simultaneously enhance creation and imagination skills instead of 'follow' approach

I am a math-major bachelor student. And I want to get some advice about the approach I'm trying now for learning maths, not for efficiency, but for depth and fully-mastered. Firstly, I want to know ...
1
vote
1answer
267 views

When my teacher gives me a question involving summation notation, do they expect us to calculate it by hand?

Assuming we don't have a calculator that can do summation notation. My class is not up to summation yet, but I'm asking a question involving this concept because I'm not all that experienced using it. ...
10
votes
5answers
6k views

Which calculus text should I use for self-study?

I am 36 years old, and have forgotten a lot of math from high school, of which I only took up to Algebra 2. However I am teaching myself mathematics and am now, as an adult, completely fascinated ...
0
votes
2answers
207 views

Math Database For Problem Descriptions In An App.

I am developing an app for kids and they will have a variety of problems from percentage problems, absolute value problems, negative number problems, fraction problems, etc. I was hoping to have a ...
4
votes
0answers
193 views

Starting my nephew out on the journey to higher mathematics.

My nephew is 8 years old and shows great promise as a student. Sadly, as most of you know most programs in secondary education don't offer any foundational courses for higher mathematics. What ...
6
votes
1answer
462 views

How do I get into a masters course in pure mathematics?

My question is as stated in the title and to elaborate more: I would like to know if there are any standardized international exams to enter a masters course in pure mathematics (besides GRE Math) ...
3
votes
1answer
151 views

A Formal and Precise treatment of Simplification?

I am looking to gain a deeper understanding of, and increase my own skill in "Mathematical Simplification". But I've been finding the concept overly vague and haven't been able to find any good ...
23
votes
4answers
3k views

Mind maps of Advanced Mathematics and various branches thereof

I would like to get a list of mind maps of advanced mathematics topics. As an example, I have posted one below. I would be happy if you post such other maps. Making one and posting it here is also ...
2
votes
2answers
335 views

Opinions on foundational math materials to teach 8th grade, 9th grade kids at a Summer Camp

I have been asked to teach mathematics/physics to a few 8th grade/9th grade kids for a summer camp. I have been thinking about it and I realized that I could go about it in two ways: One of the ways ...
43
votes
4answers
4k views

Do you prove all theorems whilst studying?

When you come across a new theorem, do you always try to prove it first before reading the proof within the text? I'm a CS undergrad with a bit of an interest in maths. I've not gone very far in my ...
3
votes
3answers
106 views

Where can I find math plans for US primary / secondary education?

I'd really like to have an overview of how math is being studied in US. I would love to see how it compares to primary / secondary education in Europe (ex Yugoslav countries). TIA
5
votes
1answer
601 views

Quickest way to understand Kruskal's Tree Theorem

I came across the Kruskal Tree Theorem the other day and thought it looked pretty interesting (especially the stronger finite form due to Friedman). I'm currently a first year mathematics ...
22
votes
5answers
3k views

Is a good GRE score enough for a non-math graduate to be accepted in a decent pure mathematics graduate program?

I have a computer engineering degree , and i have studied several mathematics courses like single variable and multiples variables calculus , complex variables , probability , numerical analysis ... ...
23
votes
1answer
476 views

How much math education was typical in the 18th & 19th century?

Was it unusual for people in those days to learn Calculus? Could a grad student take a course in differential equations or multi-variable Calculus, or did they have to learn from journals? I am always ...
6
votes
1answer
268 views

Good books for 4th graders focusing on fun, interesting and challenging math topics and exercises

My son shows strong interests in math and he is currently a 4th grader. I wonder if there are any good books that could be used to keep up his interests and at the same time challenge him a little ...
12
votes
2answers
655 views

Is Mathematics graduation important for a Computer Scientist?

I know this might be a personal problem, but I often find some friends in the same problem as me so I think this might be helpful to them after all. I am going to graduate in Computer Science in ...
2
votes
1answer
170 views

Depth of the winding river… Not satisfied with answer…

I'm currently studying for the SAT. I'm taking a practice quiz and came across this problem: Now, using simple logic (and a bit of cheating by trial and error) we can easily determine the answer ...
4
votes
0answers
128 views

$\max_{y} \min_{x} f(x,y)$ as motif for exploring mathematics

It's been several years since my undergraduate math days, and I would like to spend a bit of time refreshing and then tackling a few things I never completely mastered. Rather than proceeding topic ...
0
votes
2answers
102 views

What is this called? (Equations involving percentages)

I am trying to describe our formulas to our users, and have forgotten the basic math term for these 2 types. First one is: $$y=x+10\% $$ $$z=y+10\%$$ if $x$ was $10$, then $z$ would be $12.1$. Other ...
4
votes
3answers
1k views

Do you need real analysis to understand complex analysis?

I'm debating whether I should take a course, in complex analysis (using Bak as a text). I've already taken Munkres level topology and "very light" real analysis (proving the basic theorems about ...
8
votes
2answers
335 views

Outline and Goals of a One-Year Calculus Sequence

Our department is considering restructuring our traditional three semester calculus sequence so that the calculus requirement for our majors is satisfied in two semesters. Does your department ...
2
votes
0answers
187 views

Mathematica: Solve function problem [closed]

I have entered the following commands in Mathematica: ...
8
votes
3answers
3k views

Difficulties with Chapter 2 in Rudin

I have been reading Rudin (Principles of Mathematical Analysis) on my own now for around a month or so. While I was able to complete the first chapter without any difficulty, I am having problems ...
7
votes
0answers
336 views

The difference between 10 and 9.99999 … (recurring) [duplicate]

Possible Duplicate: Does .99999… = 1? At supper today my daughter was discussing her maths (she's 13) - she had been studying putting decimal numbers into what she called standard ...
0
votes
1answer
219 views

One year course in Mathematics for Computer Science [closed]

I am not sure if I should ask this here. If I should not, apologize for the same. I have done B.Tech in Information Technology and working as a Software Engineer in India. I would like to know if ...
7
votes
2answers
403 views

What should be the next step?

This is a soft/educational question and I'll flag it to be made community wiki. A little bit of background, first. I am in my last undergraduate year, and I took a graduate course in category theory; ...
4
votes
2answers
570 views

How should I teach a high school student about inverse functions?

Today I tried to teach a high school student about inverse functions. I gave him this problem and defined the parts that he didn't understand: Let $f: \mathbb{R} \to \mathbb{R}$, $x \mapsto ...
1
vote
3answers
255 views

Practical implementation of Mathematics

I am 21 years old now. I have been studying Mathematics in school, college and now in university but I simply feel that I don't practically understand it. For example, I can solve complex questions on ...
14
votes
3answers
1k views

Books to study for Math GRE, self-study, have some time.

I just graduated from a regional university in the US with a minor in mathematics. There is a masters program overseas, for economics, that I want to attend but they require applicants to take the ...
5
votes
2answers
416 views

How can I find videos of mathematics at graduate level, especially on linear algebraic groups

I am studying mathematics by myself, and I find it very helpful to watch online course videos. There are many such videos on undergraduate courses, such as elementary calculus, abstract algebra, ...
0
votes
2answers
248 views

How to not make mistakes like ($4-20=16$) and other simplistic errors? I've lost 40% of the exam because of this :s [closed]

I would like to ask here a question that is not only about math but about attention. How I might improve in order to don't make mistakes like this.. thanks (: UPDATE1: Recheck every calculation is ...
6
votes
3answers
304 views

Foreign undergraduate study possibilities for a student in Southeastern Europe

In the (non-EU) country I live in, the main problem with undergraduate education is that it's awfully constrained. I have only a minimal choice in choosing my courses, I cannot take graduate courses, ...
3
votes
1answer
127 views

Ways to teach fractions

I'm tutoring elementary-level kids on equivalent fractions and am not doing a very good job of explaining it. I've tried using the example of a pizza or a pie and have shown them how they can come up ...
3
votes
4answers
916 views

Random variables: How would you explain it to a beginner?

Different types of random variables: (discrete) Binomial, hypergeometric, geometric, Poisson (continuous) Uniform, normal, exponential Random variables are very useful tools when solving simple and ...
5
votes
2answers
442 views

Programs for precocious prodigies

I am the director of my university's mathematics honors program, and we just had an inquiry from the parent of a 15 year old who has already completed most of the math courses for a standard ...
33
votes
12answers
1k views

Resources for a curious beginner mathematician

I have a friend whose experience of math in school was horrible (each teacher, she says, either left or was fired the year after she had them). I've been teaching her about various things: cantor's ...
1
vote
1answer
208 views

Mathematical disciplines [closed]

Once I spoked to a mathematician about mathematics and he asked me what was my favourite area in Maths. My answer was "Chaos Theory" and he said this is not a discipline in Mathematics. What is a ...
16
votes
5answers
2k views

What does Khan Academy have to offer? Depth? Rigor?

Khan Academy - http://www.khanacademy.org/ - is often cited as a great online resource for learning mathematics and other subjects. I have heard many good things about this website and was wondering ...
8
votes
4answers
738 views

How To Reach The “Next Level” of Mathematics

I am a junior-high pre-algebra student. I feel that my class is holding me back, so I wanted to learn "higher-level math". So what should I learn now? What do you believe is a "next step"?