Questions tagged [self-learning]
Questions about how someone learns on their his or her own, outside of traditional classroom environments.
96
questions
2
votes
0answers
70 views
Is There Book on Collection of Theorems? [closed]
For example, there is a book titled "Synopsis of Elementary Results in Pure and Applied Mathematics: Containing Propositions, Formulae, And Methods Of Analysis, With Abridged Demonstrations" (...
1
vote
2answers
110 views
How do I assimilate mathematical concept?
Already knowing that the famous quotation "there is no royal road to mathematics", I believe that the most efficient and best way to learn mathematics is to make it intuitive to oneself, at least to ...
1
vote
0answers
58 views
How can I make a shift to applied mathematics? [closed]
I have done dual degree with bachelors in computer science. I am currently a software developer (India).
I always have had interest in mathematics. But once was I got into college I did not work ...
5
votes
4answers
219 views
What math courses should I take in order to become a secondary math educator?
Seeing as this is the math educator site, perhaps someone can help me out:
I am looking to become a math teacher, but I am having a hard time figuring out which math courses I need to be taking. ...
15
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 ...
5
votes
1answer
159 views
Misdirected, Side-Tracked, and Distorted Ramanujan: Problems in Basic Math Education?
I read that-
“The tragedy of Ramanujan was not that he died young, but that his
genius was misdirected, side-tracked, and to a certain extent :
distorted.
The years between 18 and 25 are ...
5
votes
2answers
251 views
Redesigning college math courses and curriculum to be self-paced
I imagine there must exist a fair amount of literature and discussion about the idea of somehow redesigning college math courses, and the entire college math curriculum, to be self-paced.
Question: ...
3
votes
3answers
182 views
What kind of problem do you learn most from (hard problems or easy problems)?
I am curious if you guys learn more from Hard problems, or do you learn more from easy problems.
I heard that you learn a lot more from doing harder problems, because you have to learn all of the ...
4
votes
1answer
143 views
Is there a rigrous and relatively complete book/lecture notes for selfstudying several variable calculus?
I would like to study university level mathematics on my own. I found rigorous books on single variable calculus and topology and learned those. But what would one recommend for several variable ...
2
votes
3answers
139 views
Self-Study of Calculus Two [closed]
I just finished self study of Calculus One and I am looking to begin Calculus Two. Is there a free platform that can help me with this?
5
votes
2answers
131 views
Forming a Study Model for a Self-Study Beginner
I am very new to this platform so I may have misunderstood the intent of this site, or might seem a bit off, but please bear with me because I know what I want for certain.
I always wanted to study ...
4
votes
4answers
438 views
Best Way to Learn Trigonometry
What are the best resources to learn trigometry? I recently decided to pursue a BS in mathematics at uni. I used to fail all my math classes with D's or F's until I started teaching myself, and so far ...
11
votes
2answers
307 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'...
8
votes
1answer
236 views
How to study for university level math olympiads and competitions?
I participated in some high-school-level math competitions, but I never invested much of my time in them at that time, something that I regret immensely.
Now that I am an engineering grad student, I ...
3
votes
2answers
201 views
Selected Exercise for Linear Algebra Done Right Edition 3 [closed]
I am self learning the book Linear Algebra Done Right. I tried to complete all exercises in each chapter. I am currently at Chapter 3 and found that it is not feasible to complete all of the exercises....
-2
votes
1answer
141 views
Could students be taught the concept of rational numbers the same way as in the Formal construction section of the Wikipedia article rational number?
Link to article cited in title, Wikipedia rational number.
According to this answer, some students 14-18 are still struggling to understand fractions. Maybe some students know how to perform the ...
7
votes
5answers
3k views
Is Linear Algebra Done Right too much for a beginner?
I have asked in Mathematics stackexchange, but I think asking here is more appropriate.
I am self studying the book Linear Algebra Done Right by Axler. That's how I started using the great Stack ...
3
votes
0answers
166 views
According to Nathan Jacobson, what is Intermediate Algebra and Advanced Algebra?
Nathan Jacobson's Basic Algebra I, II covers many topics in Algebra that is probably even beyond many pure mathematics full professor's scope of knowledge, unless the professor is specialised in ...
1
vote
1answer
134 views
When self teaching, should I learn set theory before continuing ap calculus?
I am studying ap calculus now, before I move onto differential equations etc., but the thing I am unsure of is, should I learn set theory before continuing on my ap calculus sections?
0
votes
2answers
105 views
Returning Student for STEM - Brush-Up Resources? [closed]
All,
I am hoping to wade into an Electrical Engineering or Mechanical Engineering degree, but I have been out of college for almost 10 years. My last major exposure to math was good grades in ...
3
votes
1answer
195 views
I want to learn how things function and continue my life work of learning
I am 37 years old and I have a mild learning difficulty. I never went to a special school, but yes, I got some help and I never got held back. I left my grades on borderline. I always loved to learn ...
7
votes
1answer
824 views
Curriculum for self taught Maths degree
Someone has made this template for a self taught CS degree. I am a CS grad and found it quite good. As I don't have much idea about a proper pathway to learn degree level mathematics in my own. Please ...
3
votes
2answers
382 views
Why are proofs written in flowery language incomprehensible?
Let's take an example in Wu-Ki Tung, Group theory in physics:
Theorem 3.4: Irreducible representations of any abelian group must be of dimension one.
Proof: Let $U(G)$ be an irreducible ...
6
votes
0answers
154 views
Learning math historically
What is meant by learning math historically (NOT learning math history only, but learning math with a historical development perspective)? I've seen some sources that to learn a math topic X, you need ...
4
votes
1answer
119 views
How can students self-learn creativity in math that “demand more than just deduction”? [closed]
From: Philip Johnson-Laird BA PhD Psychology (UCL), Stuart Professor of Psychology Emeritus at Princeton. (Author isn't a logician.) How We Reason (1st edn 2008). p. 112.
You might ...
4
votes
1answer
283 views
How to become really interested in math [closed]
I'm a high school senior. What can I do to be really interested in mathematics ? I know some of my batch-mates (from meeting them at several math Olympiads) are like insanely good at math (know lots ...
2
votes
5answers
498 views
Can I succeed in university math, if I loathe physics?
I hope never to study physics. Can I still ace undergraduate and PhD math?
Or ought I major in something else?
Background
I finish high school in 2019, and I'm mulling majoring in math/statistics. ...
-2
votes
3answers
323 views
Why's math more complicated to understand than philosophy? [closed]
Why's math more abstruse, perplexing than philosophy?
This feels true, as intelligent laypeople can understand unsolved philosophy problems and competing possible solutions, but can't understand or ...
0
votes
1answer
108 views
Good Combination for Self Study for a Mathematical Novice
Hi There I am new to Mathematics Educators so please bear with me if my question is not up to mark?
I am interested in mathematics and have gotten comfortable with basic proofs with Daniel J Velleman'...
2
votes
1answer
196 views
Ordered checklist for learning Mathematics for Data Science
I want to understand and teach Mathematics for Data Science. I know for Data Science I need to understand:
Probability
Statistics
Linear Algebra
Calculus
But I want a quick refresh of everything ...
2
votes
1answer
224 views
Learning High School Geometry in Ten Days
I would like to attempt this, as I want to place out of geometry next year. It is imperative that I do it now. How should I go about doing this?
I have a copy of Elementary Geometry for College ...
2
votes
1answer
111 views
books to teach K-12 math/science via real-world approach?
I volunteered abroad in rural Ethiopia and a village in a remote mountainous area of China. I plan to return to both places and teach for as long as I can make it work. I want to focus on STEM, but ...
2
votes
0answers
107 views
Strategies for learning proofs
What are the best methods for learning proofs? I'm tasked with learning two dozen proofs about the properties of continuous functions and real numbers in a week well enough to be able to present them. ...
7
votes
2answers
218 views
“Personalized System of Instruction” (PSI) vs. “Individually Prescribed Instruction” (IPI)
This question may be a bit overly-broad for MESE, but I am hoping to find some responses that can help to fill in my understanding of two similar forms of instruction that had their heyday in the ...
15
votes
2answers
504 views
Why are hand waving arguments made in textbooks of undergraduate analysis and how should readers deal with them?
Having read several undergraduate textbooks in complex analysis (Stein-Shakarchi, Gameline, etc.), I find that some "hand-waving" arguments are frequently used. An example (the proof of the Cauchy ...
14
votes
4answers
341 views
Without a constraint of time, is self-study with math textbooks better than college courses?
This question is about mathematics only. My forethought is that courses are usually based on textbooks, but they have less content than the textbooks. There are less problem sets, and chapters are ...
8
votes
2answers
318 views
Learning Math like Euclid
I'm posting this here as it's off-topic for the Math stack exchange, and I'm hoping there will be some educators here that can point me in the right direction.
I enjoyed watching the YouTube series ...
8
votes
5answers
786 views
Electronic devices to replace pencil and paper
My question is similar to this one: https://math.stackexchange.com/questions/1833459/math-without-pencil-and-paper Except I'm not physically disabled.
Pencil and paper have been used for centuries to ...
5
votes
1answer
161 views
Are there any tips for studying an MSc Pure Mathematics online?
Course background
I am planning on studying MSc Mathematics through the UK's Open University (distance learning). The course comprises of pure mathematics (number theory, complex analysis, coding ...
6
votes
2answers
286 views
How can I improve my problem solving/critical thinking skills and learn higher math?
I'm a rising sophomore in high school. So far, I've taken Algebra One, Two, and Geometry in school. I want to learn higher math such as precalculus/trigonometry, calculus, linear algebra, and more, so ...
0
votes
1answer
81 views
How to explain inverse modulo? [closed]
Do you know a (simple) inverse modulo calculator somewhere on the Internet?
How to explain simply inverse modulo? (when the concept of modulo is already a bit known)
How to explain someone how to ...
9
votes
4answers
250 views
Is it better to study in groups or by yourself?
As the title says, do you learn math faster by working on problems in groups, where you can discuss your solutions or by doing it all by yourself? I can't see any advantage of working in groups ...
4
votes
1answer
224 views
how to prove my 6th grade son knows algebra 1?
My son is taking pre-algebra in 6th grade. He mastered algebra 1 in detail more than what school can teach. How to prove to school that he mastered Algebra 1? He wants to start Algebra 2 in 7th grade. ...
1
vote
2answers
125 views
Complex numbers [closed]
I would like to learn the subject 'complex numbers'. My goal is to study this on my own. Are there any good tips, books, sites to study this?
7
votes
1answer
131 views
What specifically should I include to my self study notes?
I am a high school student who will be entering college in one and a half year (It is so long though).
For me, Mathematics primarily means Number Theory. My interest in Number Theory always motivates ...
15
votes
9answers
14k views
Is it too late for me to start learning mathematics?
I am 26 now. I left study after completing school. Now I am thinking of doing a Bachelor's degree in mathematics. I purchased a basic Calculus book and I found it interesting.
So I took some advice ...
13
votes
4answers
602 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 ...
5
votes
2answers
159 views
Are there any math certificates/qualifications on high school maths that you can do after high school?
I hope this is a good place to ask the question.
My issue is that I have finished high school a number of years ago, and although I did some (non-advanced) math courses then, I did not do an exam in ...
15
votes
4answers
560 views
How to learn math from textbooks in the right way?
I am a freshman studying math.
Everytime I learn Mathematics, I do it the slow-way. I tend to read the definitions until I make sense of what is written in the texts. I can spend a whole day trying ...
5
votes
2answers
133 views
Great Worked-out examples books for Mathematics
I'm studying Mathematics in the UK. Back in Italy, where I am from worked-out problems books are very popular in mathematics and they are always recommended or compulsory at university. Going through ...
