Questions about the process of learning mathematics, both inside and outside a formal environment, including learning strategies, recommendations for learning particular subjects, and studying habits.

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0
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0answers
54 views

Choosing between Universities for Mathematics

I am trying to advise a younger friend looking into colleges and I was wondering what others would think: Is it better to go for a prestigious university where the focus would be almost exclusively ...
2
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2answers
68 views

Does attempting numerous questions in Mathematics textbooks actually help?

Specifically for high school/college maths where the textbook contains numerous exercises with similar trivial examples - would attempting all of the questions actually be more beneficial than (lets ...
5
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3answers
159 views

Is math independent of our sensory experience? [on hold]

I've been asking myself this and other questions in the field of philosophy of mathematics. Could we, if we were isolated from any kind of sensory experience, be able to learn mathematics? Also, what ...
0
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1answer
19 views

What test could I use to test $\mu_1$ and $\mu_2$ instead of $\bar{x}$ and $\mu$?

A single sample $t$ test is only against a sample and a population correct? Can it test against a population and itself or two populations? ie $\mu_1$ vs. $\mu_2$....if not what tests would you use ...
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0answers
37 views

What is the use of matlab? [closed]

What is matlab? Why do engineers use that? Whats it do? Can someone please explain how this is helping people to make life better?
2
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3answers
24 views

Intuition - Divisibility results - If c divides some integers, then c divides any linear combination of them.

Not querying about proofs here. I don't want to memorize, thence are there intuitions or illustrations for them? As a student, how else can I remember these results? Origin - Elementary Number ...
0
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1answer
28 views

Tool to reteach Algebra?

I was never a very good math student and over the years, I simply forgot a lot of math. But sometimes it annoys me to no end, because I work in a mathematically related field (applied statistics) and ...
2
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0answers
24 views

On ambiguity in statements expressed in natural language, where the statements use an indefinite article, e.g. “a”.

Please consider the following example statements and judge the meaning of the article "a". Example: A house is a building. Example: A house is being built next to our house. In example 1, "a" is ...
2
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1answer
57 views

Learning to understand proofs faster?

There are many books, written by highly decorated academics, which feature proofs that I can hardly comprehend in an acceptable amount of time. Roughly each week, it happens that I find myself having ...
1
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0answers
34 views

Any quick mental mathematics techniques?

I recently came across a very easy way to find the squares of fairly large numbers ($1$-$100$, but could be extended indefinitely), by using a simple formula. It does require you to know the square ...
1
vote
1answer
62 views

How to get better at inequality problems?

I really like inequality problems, but I've found that I have severe difficulties with ones that should be simple. I can prove something simple like this For positive $a, b, c$ with $a + b + c = 6$ ...
0
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1answer
36 views

Nature of Points and Lines in Euclidean Geometry

It may be true that very few middle school student can grasp the meaning of lines and points in Euclidean geometry prior to a direct instruction. For example, it's possible that such a conversation ...
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1answer
62 views

TV Shows for Popularization of Mathematics

There are many TV shows and programs which are dedicated to popularization and of physics, biology, etc. I'm looking for such media about mathematics. Thanks.
11
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1answer
99 views

Dealing with Fatigue

If all goes well, I am on the route to start a PhD in Mathematics next Fall. I worked very hard my undergrad years with little or no break and no travels. It is something I really regret. Now I have ...
-4
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1answer
46 views

What is a right way to think when going about trying to solve a math problem? [closed]

What is good step-by-step method to deconstruct a math problem.
5
votes
1answer
55 views

Software for basic math notes at 5th to 10th grade level (10 to 15 years old)

So I've looked around, here and otherwise, but sadly can't seem to find quite what I'm looking for. I don't know if it even exists, I figured it was worth trying to ask, though. I've found plenty of ...
0
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1answer
34 views

Math Mindeset: Historical Learning vs Generality of Concepts

I started math four months ago with modules like measure theory and topology. It was unavoidable to notice how many concepts are more general than what I thought before. For example the ...
6
votes
4answers
320 views

Teaching irrational numbers?

I'm interested in teaching the irrational numbers to high-school students, and I need your ideas on how to do in an 'optimal' and innovative way. And my question is: What should the teacher know ...
-1
votes
1answer
117 views

Become a mathematician… again! [closed]

After reading the book "The 5 elements of effective thinking", I decided to start learning mathematics over again, just as I were a very beginner. This must help me to fill some gaps I have from my ...
1
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0answers
53 views

Studies on how the wording employed on the explanation of mathematical concepts helps students to learn?

I remember that I had to learn division in my childhood, I could handle all the other mathematical concepts that were presented until then but division was a real pain to learn, somehow the idea of ...
3
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1answer
193 views

Math Shock in graduate program

People call it Culture shock but I call it Math Shock... let me explain my Problem... First I am graduate student in a good university in USA ( I get scholarship from my country). Before I lived in ...
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votes
1answer
42 views

Learning way and Resource for Complete math Subject. [closed]

I want to learn [self learning] Mathematics from basic.What is the order [like 1) arithmetic,2) Geometry,Etc..] to learn the maths? and what is the best resource to that particular subject?
1
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1answer
73 views

Can I go “out of the order” of learning math?

So I want to clear something up before I go any further with calculus. Is it wrong to actually skip ahead in math? You see, I'm in 8th grade taking algebra 1 honors(Though I personally think I should ...
6
votes
2answers
78 views

Information on crucial results concealed as exercises or neglected in a textbook

First, where can students find lists, information, or resources on the crucial results, inequalities, theorems, etc... which a textbook might not explictly feature or even bring up at all? Second, ...
1
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0answers
15 views

Looking for intuition for picking strategy on how many pages to flip

This question is going to sound more CS'y because that is my background. It also might be a bit vague but that is because I am not sure what the right thought process is in how to formulate it. I ...
5
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0answers
110 views

Study group for working through Spivak/Wilson [closed]

I'm planning on working through Spivak's Calculus or Wilson's "Introduction to Graph Theory" and was wondering if anyone here might be interested in joining a study group for it. There's no ...
2
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0answers
65 views

Topics to Development of Solid foundation in Math

I would like to foment a discussion here about the fundamental knowledge and logical learning sequence for a person who work in another field but wants to be an applied mathematician. Lets suppose ...
2
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2answers
149 views

Ring theory : Completely lost and overwhelmed

Over the past 3( 9 sessions) weeks my professor has covered entire Part 3 - Rings from Gallian's Abstract Algebra which includes Introduction to Rings Motivation and Definition Examples of ...
3
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3answers
103 views

Question on Rudin sequences?

In baby Rudin, Rudin shows that $$\lim_{n \to \infty}\sqrt[n]{p} = 1.$$ In the proof of limit he tries to prove that the limit is $1$. So he takes $x_n = \sqrt[n]{p} - 1$. I have never noticed this ...
2
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0answers
96 views

Dynamic Geometry Software for Straight-edge and Compass Constructions

Geogebra is a very good dynamic geometry software. It has so many default tools, e.g. parallel line, angle bisector, tangent to the circle, inscribed and circumscribed circles, etc. But I want the ...
3
votes
1answer
71 views

How does one learn math from square one? [closed]

Ok, I know this is vague, but assume I never really had a good working knowledge of math in any area. I want to pursue X related work, which calls for X, Z, E, A, L, C, Q, etc. math. I realize that ...
1
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1answer
52 views

Suggestions for complicated math concepts that a child can understand

My son really loves math (so do both his parents, for that matter), and does well at it in school. I will give him math puzzles or tricks now & again, as well as introducing him to Khan Academy ...
8
votes
2answers
179 views

Advice in Bachelor Degree

First of all, I´m very sorry for my bad english, especially writing. Ok, for differents problems i´m studing a Bachelor degree in Mathematics. These degree is online. Now, the problem with my school ...
3
votes
1answer
80 views

Is there a math news website or publication (for mathematicians)?

I'm an undergraduate math and physics major aiming to pursue a Ph.D. in either pure math or theoretical physics. I don't read traditional newspaper or news websites, since in my opinion they are ...
4
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2answers
223 views

How to study abstract algebra

I am taking Abstract Algebra course at the university. We are doing chapters 1-20 from Gallian's abstract algebra text book. I am just doing assigned homework everyweek ( About 5 questions from each ...
2
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3answers
46 views

Commutativity or Distributivity - Which One to Use to DEFINE Multiplication of Negative Numbers?

It's easy to calculate $3 \times (-4)$, using the meaning of multiplication: $3 \times (-4)=(-4)+(-4)+(-4)=-12$. But it's not the case about $(-4)\times 3$! To DEFINE $(-4)\times 3$ we can choose ...
5
votes
1answer
147 views

Is the computer changing the way we teach and learn math in schools?

Back in school, what I got taught during school was labeled 'math', but it was actually 'rote arithmetics.' This seems to also be the case of many other people. Some came to hate it and never came ...
3
votes
1answer
101 views

New ways to light the fire again

Recently I've been studying a lot of analytic geometry and this subject made my motivation drop. The thing is, the courses aren't stopping and I'm beginning to lose the passion I had before. I need ...
9
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2answers
597 views

Learning Abstract Algebra for a graduate degree

I would like to do a graduate degree in mathematics, and I have a full year before I will be able to do so (for personal reasons). I mainly have my weekends available to study. I am interested in ...
12
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2answers
227 views

How to do math and help people

I am currently an junior math and statistics student at the University of Florida. For my whole life I have really enjoyed math and really do find a calling in mathematics. Math classes are the only ...
0
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2answers
68 views

Product recommendation from user answered questions [closed]

This is my first question on MATHEMATICS, I'm normally asking and answering on Stack Overflow! Anyway, I have a specification at work for an app I'm building. The app should allow a user to answer a ...
1
vote
1answer
234 views

Best way to learn from THEOREM-PROOF format?

I've always loved the theorem-proof format in textbooks, e.g. Hardy and Wright's Introduction to the theory of numbers. However, the problem is that I can't remember anything I read in this format ...
5
votes
2answers
214 views

Which books to study category theory?

I am an amateur math researcher in the field of general topology. I've set the purpose to learn enough category theory for my research. After reading Steve Awodey, "Category Theory", 2010, is it ...
1
vote
2answers
98 views

What is the order of math topics that people learn math in?

You know how they say to learn algebra first, then learn geometry, then trig, then calculus...etc? So after that, is there an order of what to learn next? If so, I'd like to know what comes after ...
3
votes
1answer
342 views

Specific Advice/Tips to Streamline Studying Math [closed]

1, 2, 3, 4, 5, 6, 7, 8, 9: These instructive threads withal, I'd like to ask about concrete aids/boons/devices/ideas on learning and studying maths, with straightaway impact. They can be informal or ...
0
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0answers
46 views

Please help me about conjugate gradient method

As I know, the error function of neural network is the sum of difference between actual output and the target value. But in conjugate gradient method, they use quadratic function: $E(w) = \frac{1}{2} ...
1
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1answer
147 views

Math writing solutions

I will begin to learn in the university next month and I would like to know what is the best way to write math except from handwriting? I am not sure if to use a mathematical software, digital pen or ...
5
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6answers
153 views

When learning maths, should I review past topics?

So I've been learning maths from online video lectures and books for some time now and, as is probably quite natural, I have forgotten some of the stuff I've already read through. That'd be mostly ...
0
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1answer
52 views

relevant pure math for optimization

I'm interested in optimization generally. I don't know enough to break it down to sub-fields that I would work on. Probability and statistics seem relevant. What about calculus of ...
3
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0answers
97 views

Where to start?

I want to learn Mathematics but I don't know where to start. Sometimes I really get frustrated as I am a Software Engineering graduate (currently working) and I feel like I don't know anything about ...