Save for later

Introduction to Mathematical Thinking

Learn how to think the way mathematicians do – a powerful cognitive process developed over thousands of years. Mathematical thinking is not the same as doing mathematics – at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box – a valuable ability in today’s world. This course helps to develop that crucial way of thinking.
Get Details and Enroll Now

OpenCourser is an affiliate partner of Coursera.

Get a Reminder

Send to:
Rating 4.6 based on 298 ratings
Length 10 weeks
Effort Expect to require at least 10 hours of study per week to complete this course satisfactorily.
Starts Oct 12 (last week)
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

Send to:

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.

Read more

keith devlin

Professor Keith Devlin seems like someone I would want to have lunch with while discussing math, philosophy, and science in general.

Prof. Keith Devlin does a great job of going through the material and explaining solutions to the problems.

Great thanks to Dr. Keith Devlin - awesome teacher!

Keith Devlin is an amazing mathematician.

I await for another opportunity to get tutored by Dr. Keith Devlin and Stanford Univ.

A special thank you to Dr. Keith Devlin for teaching this course and giving me a true glimpse into university level mathematics, but also to Coursera for giving me the ability to be an active student in such amazing courses.

Thank you Profesor Keith Devlin, you are a great teacher !

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).

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!.

Read more

prof. devlin

Prof. Devlin has a clear, friendly style that makes difficult concepts easy to understand.

It is clear that a lot of effort has gone into developing this MOOC, with engaging content and splendid delivery by Prof. Devlin throughout.

There is a great interview with Prof. Devlin here: https://onbeing.org/programs/keith-devlin-the-joy-of-math-learning-and-what-it-means-to-be-human/ It is a very interesting course and over my expectation on what I could learn from the course.

Prof. Devlin explains, demonstrates and allows one to "hear" him think through solutions.

Thank you, Prof. Devlin!

Prof. Devlin's cheerful countenance and his active participation in the discussion forums makes this course worthwhile for anyone who always wanted to brush up on logical skills and mathematical 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.

In the last week or so with real analysis, there was some material that was new to me.

I wish I would have taken this class years ago before I struggled through real analysis.

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.

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.

Rating 4.6 based on 298 ratings
Length 10 weeks
Effort Expect to require at least 10 hours of study per week to complete this course satisfactorily.
Starts Oct 12 (last week)
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
Enroll Now