Introduction to Mathematical Thinking
Get a Reminder
Rating | 4.7★ based on 418 ratings |
---|---|
Length | 10 weeks |
Effort | Expect to require at least 10 hours of study per week to complete this course satisfactorily. |
Starts | Jul 17 (37 weeks ago) |
Cost | $49 |
From | Stanford University via Coursera |
Instructor | Dr. Keith Devlin |
Download Videos | On all desktop and mobile devices |
Language | English |
Subjects | Mathematics |
Tags | Personal Development Math And Logic |
Get a Reminder
Similar Courses
What people are saying
mathematical thinking
An excellent introductory course to mathematical thinking or a companion course to follow while shuffling through your first book about mathematical proofs.
An excellent course on mathematical thinking.
best professor i every seen and this course introduction to mathematical thinking is perfect for those whose loves magic of mathematics .
An easy but useful primary course for mathematical thinking.
Thanks, I think is a great course because also you learn about mathematical thinking and you learn the form of others learn.
very informative It was great time to learn the mathematical thinking with team.
dcdsvzfbzdzhfgzhgfmhxjfgdssghcj, This course is a fun, thorough and thoughtful introduction to the basics of mathematical thinking.
A truly amazing course that gives the student an excellent taste of mathematical thinking and makes even those who hate mathematics understand its depth.
It makes you do and achieve what it says, so if you want to learn mathematical thinking that is the best introductory course for you.
My math skills got stronger, but more importantly, my approach to the logic of mathematical thinking can be transferred to other disciplines.
The precision and elegance of Mathematical thinking is realised in this course - the Essence without the intimidation of the subject A useful course to do if you want to go into some more discrete mathematics (proving things) after :) Excellent course.
Excellent introduction to mathematical thinking and logic.
It is a great refresher / introduction to mathematical thinking.
At core, the taught material consists of the content of Keith Devlin's book 'Introduction to Mathematical Thinking', which is available for low fee.
Read more
high school
It's aimed at high school students, but I found it valuable even as a college graduate who has taken several math classes but never had a formal introduction to how to think about proofs.
intersting class for high school student, also useful to me.
For me its was challenging, but I learned essential math patterns and basic skills I wish I got in High School.
Very pedagogical I am really not sure if you need 20-30 minutes videos to explain the material - I think maybe 7-10 minutes clear with some good examples would be more helpful, I fell sleep during some of the lectures, boring, long and not sure if necessary - on the other hand I guess 20-30 minutes is good because you learn to put up with arguments and clear them up yourself - also maybe this course was directed towards high school students thus the long explanations -Overall, as I said on the beginning, it would work better with clear definitions and some examples and discussion board - 5/5Although I am really familiar with all the course materials and etc., I could still learn a thing or two from this course.
We were getting deep into proof mechanics, which had bedeviled me since high school, and I wanted to learn this.
But be prepared to struggle if your high school maths is rusty - the course starts smoothly with some language analysis and then dives deeper and deeper into a forest of scary, abstract symbols.
I signed up because the reviews were great and I admired Professor Devlin's commitment to the pedagogical side of it, and also because the course's promotional material indicated that this course would address the huge difference in mindset between high school maths and university maths, and I was curious what that was since I didn't remember it (In retrospect I think this may be a US/UK concept and some other countries like New Zealand where I'm from must be doing better with a gradual transition on this front).
Introduction to Mathematical Thinking is a great course that covers several topics that are often not covered in high school math including proofs, logic, quantifiers and beginning real analysis.
I wish I had a class like this in high school.
Should be required for every high school student.
I was interested in mathematics till high school.
I wish I had this course in high school or in my first college year.
In fact, there is always a transformation in mathematical thinking from high school to university level, that almost no one was told when they were students.
If you want to improve your math beyond high school level, highly recommend this course.
Read more
way of thinking
It’s so rare that a course teaches a new way of thinking, rather than new concepts or new data.
It’s a new way of thinking about things.This course is like one of the greatest pieces of classical music if you like the classical music.
things are getting intense This is a very well designed course which is essential for mathematicians as well as for those who want to use mathematical way of thinking (which is needed in most of the subjects ) in their life.
Apart from various technique taught in the course for solving mathematical problem, as Dr said, the most interesting thing learnt is the way of thinking to approach the problem.
Really, everyone will benefit from the way of thinking the course teaches.
Take the Man's course and you may well discover a new way of thinking, Alternatively, if your previous mathematics education was lacking or left you with a sincere dislike of mathematics, take this course and be amazed!.
As he always says, the point of a proof is 1) establising the truth and 2) explaining it for the readers, math will be interesting once you learn its way of thinking.
Read more
real analysis
Real analysis is a tough subject and we only did a basic introduction.
I have a PhD in economics yet I struggled with the real analysis at the end.
While the course covers most of the contents, Professor should have given more attention to Proofs and Real Analysis which are assigned just two weeks in this course.
In the last 2 weeks, he gives us a few touch on set theory and real analysis, the two subjects that I suddenly feel attracted to, not to mention his sense of humour when introducing them ;) Notably, throughout the whole course, Professor shows us how to evaluate a proof, and I do learn a thing or two about it.
For those hoping for a course that covers elements of real analysis (as he advertises at the start), look elsewhere.
Read more
dr. devlin
The instructor Dr. Devlin was able to make an otherwise difficult topic easy to understand.
Great way to start thinking mathematically for the common simple stuff First course worth to pay Good overall, but Dr. Devlin tends to ramble in lectures rather than getting to the point.
If I could I would take up stuying the subject with Dr. Devlin.
Dr. Devlin shook my core beliefs.
The first three-quarter of the videos consisted of a round table discussion with Dr. Devlin, a staff TA and a moderator.
The final videos were presentations Dr. Devlin has made at Stanford, including lectures on the origins of numbers.
Being taught by Dr. Devlin is a real joy.
I really enjoyed doing this course and although the material was not too much of a problem for me (I am a teacher) I have learned a lot about teaching in this course and have now integrated some of Dr. Devlin’s style into my own teaching.
The lectures are stimulating and clear, and Dr. Devlin has a unique teaching style and ability to connect with students through video.
As Dr. Devlin says, it's like learning to ride a bike.
Thank you, Dr. Devlin for a great course!
Dr. Devlin is quite a thorough professor and I wish I had more professors like him during my undergraduate years as well.
棒得超乎我的想象! Dr. Devlin is a wonder.
Read more
easy to follow
Very easy to follow and quizzes and problem sets are very helpful.
Very easy to follow at the start, becomes more challenging at the end.
For those one who are already professional at university mathematics, this course is very easy to follow but still benefits students form many aspects.
easy to follow Great course Such a delight having followed this course... it was a real pleasure to think differently other than usual... thinking mathematical for once... Love it!
Interesting and easy to follow .
Read more
prof. keith devlin
Prof. Keith Devlin does a great job of going through the material and explaining solutions to the problems.
The first MOOC I finished was Prof. Keith Devlin's Introduction to Mathematical Thinking.
I also recommend following Prof. Keith Devlin's twitter.
THANK YOU Prof. Keith Devlin for this course.
Read more
number theory
A great introduction to mathematical reasoning, proof structures and elementary number theory.
Great course for those who might want an additional understanding of mathamatical logic and number theory.
It covers important topics such as: the mathematical language, logic, number theory, real analysis.These topics are presented in a clean and concise way by Dr. Devlin, and I highly recommend this course to any person interested in mathematical thinking, how to read and understand mathematical proofs, and for those interested in pursuing a mathematical career.Thank you professor Devlin.
I hope Stanford open more math courses in math field, such as Number Theory, Analysis, and Abstract Algebra.
a good course Brilliant and Crystal Clear great course that make you able to establish proofs and use mathematical notations also it help you in some branches of math like number theory and real analysis.
Read more
no longer
And I’m no longer afraid of a jumble of math symbols when I see them on a page.
I am no longer intimidated by the complex looking symbols and am able to make statements precise.
I'm no longer afraid of a jumble of math symbols when I see them on a page.
will update my review after finishing the course I am no longer unable to access the course through the app though.
3) The instructor, Keith Devlin, has said he will no longer be involved; this may or may not pose a problem in getting good mentors in future.
Read more
years ago
Learned a lot over again from a discrete math course I took years ago.
I graduated mathematics 20 years ago, and I regret I didn't have such clear and informative lessons back then when I needed them most.
My personal opinion: I wish that I have taken this course 5 years ago, so I can learn a bit more about Algebra.
This was the first MOOC I took roughly 2 years ago.
Read more
problem sets
You can test yourself with quizzes, assignments and problem sets throughout the course.I can only highly recommend it .
And there is also some help from several mentors.In the last week you have to write your own proofs at ten problem sets and peer reviewing them for lots of other students.negatives: Because the instructor suggested group building over the net, It happened at my course that the course participants was split to plenty small groups.
You need to take some time to complete assignments and problem sets.
Read more
same time
Very challenging and engaging at the same time, forcing me to think, think, think!
His style is engaging and informal, while at the same time presenting rigorous mathematical material.
I enrolled in this course out of curiosity but to my amazement, I found this course very challenging but at the same time very interesting as well.
He encouraged group activities but at the same time he also encouraged good working ethics.
Read more
Careers
An overview of related careers and their average salaries in the US. Bars indicate income percentile.
Lower School Math Specialist $32k
High School Math Teacher 1 $33k
Middle School Math Teacher 1 $38k
Lower School Math Coordinator $45k
Middle School Math Teacher 6 $46k
High School Math Coach $47k
Middle School Math Instructor $50k
Summer School Math Teacher $52k
Middle School Math Coach $54k
Middle School Math Specialist $55k
Middle School Math Educator $60k
School Math Tutor $72k
Write a review
Your opinion matters. Tell us what you think.
Please login to leave a review
Rating | 4.7★ based on 418 ratings |
---|---|
Length | 10 weeks |
Effort | Expect to require at least 10 hours of study per week to complete this course satisfactorily. |
Starts | Jul 17 (37 weeks ago) |
Cost | $49 |
From | Stanford University via Coursera |
Instructor | Dr. Keith Devlin |
Download Videos | On all desktop and mobile devices |
Language | English |
Subjects | Mathematics |
Tags | Personal Development Math And Logic |
Similar Courses
Sorted by relevance
Like this course?
Here's what to do next:
- Save this course for later
- Get more details from the course provider
- Enroll in this course