Questions tagged [self-learning]

Questions about how someone learns on their his or her own, outside of traditional classroom environments.

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22
votes
4answers
2k views

Lesson plan to self-teach real analysis to student with comp-sci background

For my background, I'm a software engineer currently studying for his master's degree in information security. But when that's all done, I plan on going back to mathematics to keep me busy. But with ...
36
votes
5answers
2k views

Effects of early study of advanced books

Context: There was recently a question on Math.SE: Inferior to Other Younger and Brighter Kids which starts as follows: I'm a high school student (Junior/Grade 11) and I'm currently studying ...
10
votes
4answers
8k views

Is it possible to improve logical thinking and problem solving abilities?

I'm from Italy and I'm 13 years old. I'm good in Math and I'm good in languages (I know Italian, English and Russian and I think I'm good at them). I'm a programmer and I know HTML, CSS, JS and Python....
10
votes
4answers
1k views

Mathematical concepts and techniques that **pay off the most**? [closed]

There is a smart way of learning, and it consists in first finding out what are the most valuable pieces of knowledge to acquire. The ones that will give you the highest value for your investment in ...
3
votes
2answers
263 views

Free websites to practice math for the common core standards

Many of my students' parents have asked me to suggest websites to help their children practice the common core math standards. I work in a very rural school and many of my students are from lower ...
17
votes
3answers
7k views

Learning Mathematics with the aid of spaced repetition systems

I am currently self-studying, so I learn using a textbook which I work through in a linear fashion. As I am introduced to new concepts I ask myself questions and I attempt to answer these questions ...
14
votes
4answers
646 views

How does a student learn to 'dig behind the scenes' or 'feel' math like a Fields Medallist?

Source 1: Siobhan Roberts, Mathematical Beauty: A Q&A with Fields Medalist Michael Atiyah, Quanta Magazine, 2016/3/9. Is there one big question that has always guided you? I always want to try to ...
16
votes
7answers
6k views

Lack of intuition, retention while self studying

I am a first year undergraduate student, currently in second semester. So basically I learnt most of the first year stuff in high school, so I have a lot of free time in this year (currently in ...
11
votes
2answers
322 views

How to stay interested in less-tangible math

I've graduated high school and I am joining college soon. The problem with me is that I'm not finding less tangible math interesting at all. Some people find abstract math to be very beautiful, and I'...
3
votes
0answers
259 views

Learning a topic deeply [closed]

I am currently a "self-studier", so the manner in which I learn is I have a textbook and I work through it in a relatively linear fashion. As I am introduced to new concepts I ask questions (...
7
votes
2answers
251 views

Looking for a progression of learning to get back my math skills

I am an professional that has rarely used math over the last 20 years. Well, anything outside a spreadsheet and basic formulas. My son, who is quite bright, is now getting to an age where I am ...
6
votes
4answers
272 views

Fun resources and games for advanced elementary school math students?

My younger cousin (2nd grade USA) is advancing very quickly in his current math class. The school does not have much to support him in moving ahead in the material. What websites (preferably game or ...
1
vote
2answers
112 views

What are the resources to learn prerequisite knowledge to latter High school and undergrad prep textbooks?

I use textbook study and am planning on studying Spivak's Calculus, Mathematics It's Content, Methods, and Meaning, How to Prove it by Velleman, etc. However, I'm worried I lack the prerequisite ...