Back to Introduction to Mathematical Thinking

4.8

stars

1,978 ratings

•

465 reviews

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....

PD

Jun 30, 2020

It has help evaluate what I put into decision in any applicable context. Since I've noted what decision I make and how outcome can be made to vary when I consider all components in a isolated manner.

NR

Mar 05, 2018

An awesome course. Very easy to follow at the start, becomes more challenging at the end. I have a PhD in economics yet I struggled with the real analysis at the end. And that's just intro level! :-D

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By 唐茂杰

•Nov 26, 2019

What a nice course! I like the logic, interesting and vivid process in this course. I am appreciated to the professor and I will review what I have learned in recent days.

By Kishan V

•Oct 03, 2020

Keith Devlin is a perfect teacher! I wish I could learn under him in real life. Fantastic course for high school seniors who want to study university level mathematics.

By Bartosz W

•Dec 22, 2017

As the name suggests, it is a great introduction to the world of mathematics. No unecessary pressure, which makes it an enjoyable experience for those willing to learn.

By David B

•Apr 05, 2017

Hard work but worth it. I get the feeling I now know something about what maths is about.

Brilliant teacher, although I didn't realize this until completing the course.

By Saayan

•May 27, 2020

Great course. Really teaches you how to think. If you are making the transition to college mathematics. I would highly recommend this course. It could not get better>

By Hussein A

•Jan 08, 2019

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.

By Rahul C

•Jul 02, 2020

Only one word: Brilliant.

Take this course if are aiming to become a Mathematician. You will not regret it. It's absolutely must for all who are entering college.

By Julien C

•Oct 23, 2017

A lot of much time spent on simple things and no enough example with answers to make sure we understand the exercise. (sorry no precise example available handy)

By Carlos M

•Jun 04, 2020

This course convinced me of enrolling for a college degree in mathematics, I don't think I can say much more. Thanks to professor Devlin for this amazing work.

By Seyyed M A D

•Apr 01, 2018

Very dedicated teacher. Very clear and neat teaching method.

The teacher solves a lot of good examples by himself and this makes the course very understandable.

By Olzhas I

•Feb 14, 2018

Sometimes challenging, but very interesting and fascinating course! Keith Devlin is a talented professor and his way of describing topics is well-constructed.

By John A

•Sep 21, 2020

Very useful for knowing the basics of number theory and to think mathematically. Slow and Steady wins the race! Concepts explained with good explanation.

By Malcolm G

•Apr 19, 2020

Wonderful Course. A great distraction from the Covid19 virus. Much more interesting and exciting than Netflix. Thankyou to all involved in its creation.

By luo r

•Jul 27, 2019

It's a pretty good course. I learnt a lot. I hope Stanford open more math courses in math field, such as Number Theory, Analysis, and Abstract Algebra.

By Andres D P P

•Aug 24, 2019

Es un curso muy bien orientado, y el método de enseñanza es excelente. El profesor te enseña a pensar más allá, lo recomiendo para todos los niveles.

By xiexiaoqi

•Nov 23, 2017

很棒的数学课程，适合大学新生在上高等数学时学习。这门课详细介绍了数学证明的方法，并且会告你大学学的数学和高中时不一样，最后一周的互评作业也很有意思，通过批改其他学生的作业我也学到了更多知识。这门课让我对数学有了更大的兴趣，如果你对数学感兴趣或者想学好大学数学的话，你应该来试一下这门课程！

By Ava

•Aug 19, 2018

You don't learn math only; you learn the techniques of logical reasoning.

This course is evaluable and helps me become a more effective thinker.

By Olivier T

•May 28, 2017

Such a delight having followed this course... it was a real pleasure to think differently other than usual... thinking mathematical for once...

By Michael P

•Jul 22, 2020

Τhe lecturer of the course is quite explanatory. The course material is quite well organized with methodical steps in explaining the concepts.

By Ewan K

•Aug 30, 2020

Great lectures that broke down intimidating concepts to be understood easily. I already feel the impact on my thinking. Thank you Professor!

By Daniel B

•Jun 08, 2017

Dr. Devlin is very passionate about mathematics and it comes through in his teaching. This is a great course overall and very challenging.

By Ajey K P

•Mar 16, 2017

It is a nice course to learn how mathematicians write proofs. Also how to think in logical way. Great course for maths enthusiasts like me

By Hari K

•Apr 04, 2018

best professor i every seen and this course introduction to mathematical thinking is perfect for those whose loves magic of mathematics .

By Tanny S

•May 10, 2017

The precision and elegance of Mathematical thinking is realised in this course - the Essence without the intimidation of the subject

By Artur F

•Apr 05, 2020

Thanks for the extraordinary amazing course!

Especially for sharing your passion for math with us!

I just loved studying these weeks!

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