Back to Introduction to Mathematical Thinking

4.8

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1,900 ratings

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443 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....

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

Nov 24, 2019

It was an amazing course! Lots of interesting content. The content is also explained really well, i found it really easy to understand. The assessments are a little challenging, but reasonably sized.

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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 Michail 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 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!

By m.urban

•Dec 10, 2018

I'm sure that I will come back to this course! Thank you very much Profesor Devlin! You are a great teacher! Greeteing from Poland!

By Sohom B

•Aug 04, 2017

Really beautiful course. This one finally got me out of the "I can not read and understand mathematical notation" bandwagon!! :-)

By Fernando A C

•Sep 26, 2017

A very coherent course. Looking at and evaluating proofs was a very good way to develop a deeper sense of mathematical arguments

By Morena V

•Jun 19, 2017

Very inspiring and educational course. Keith Devlin is a very good professor. Very nice assignments. Fun and challenging to do!

By Saulo G C C

•Jul 11, 2020

Thanks, I think is a great course because also you learn about mathematical thinking and you learn the form of others learn.

By Alex H

•Dec 19, 2019

It's good course to get back into mathematics and consolidate the fundamental notions to pursue higher level mathematics study

By 김재원

•Apr 06, 2020

This is the first course I've finished in Coursera....It really is a great and wonderful course.

Learned a lot from the course

By SUNTSOV V

•Mar 17, 2019

A useful and good course for common development.

The name of the course corresponds to the topic.

My wish was fulfilled.

By Antonio R S

•Sep 27, 2018

Muy bueno lo recomiendo a todo aquel que se quiere iniciar en el conocimiento matemático..para mi ha sido de gran ayuda.

By Zara A

•Jun 14, 2020

It was sooo good!!! Being a 13 year old, I have not learnt everything I needed to but understood everything perfectly!

By Higor G P

•Jan 15, 2018

Curso excelente. Mostra a imensidão da matemática além das receitas prontas ensinadas no ensino fundamental e médio.

By Varun K

•Sep 18, 2019

Good for developing basic abilities like how to structure your proof, develop thinking through a well defined proof

By Uttkarsh K

•May 18, 2020

Engaging course, very interesting for someone who is willing to learn patiently. Thank you professor Keith Devlin!

By Vladimir K

•Mar 12, 2017

This course gave me a number of bright ideas about the extraordinary approaches, when you solving complex problems

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