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Back to Introduction to Mathematical Thinking

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2,498 ratings

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 29, 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 4, 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 김재원

•Apr 6, 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 Jose J

•Jan 18, 2023

Excellent! I renew my interest in mathematics by reviewing this course. Thank you to all the staff that makes this possible.

By ВАЛЕРИЙ С

•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

•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 13, 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

By Sephi I

•Nov 18, 2020

Thank you fantastic Dr. Devlin. Brilliant course. I only understood part of this material but it was captivating.

By Will S

•Sep 10, 2022

great introduction to university mathematics and the problem sets and assignemetns are really well thought out.

By Bart S

•Sep 4, 2017

Great course, really challenges you to think outside the box and to apply techniques in a different perspective.

By Kucherov A

•Jun 22, 2020

It helped me quite a lot to start working with mathematics without feeling fear of these strange alien symbols.

By Hugo B

•Jun 3, 2020

Excellent Explanation and Course Structure from Professor Devlin. Thank you very much for these great 9 weeks!

By Hanjie D

•Apr 26, 2019

The course is very intellectually challenging. But it is only be being challenged that you improve the most.

By Damian S

•Jul 7, 2017

A fantastically challenging and stimulating course that will help you learn to analyse problems in new ways.

By Anne

•May 25, 2018

brilliant lectures! Very easy to follow and quizzes and problem sets are very helpful. Fantastic professor!

By Alex A

•Jun 3, 2020

Outstanding course. More dots were connected and a new and improved way of thinking emerged along the way.

By Aynur Ö

•Feb 18, 2021

Bir matematikçi olarak çok verimli bir ders olduğunu söyleyebilirim. Pek çok farklı bakış açısı edindim.

By Abelardo L

•May 7, 2017

Excellent course. I really recommend it to anyone that want to improve their overall thinking abilities.

By Oleg S

•Aug 29, 2020

Fantastic job. I wish I had an opportunity to watch something like that back in high school. Thank you.

By Saurav K

•Apr 7, 2022

Best option for learning the basics in logical reasoning , really helped me clear my historic doubts.

By Arne d R

•May 8, 2017

A useful course to do if you want to go into some more discrete mathematics (proving things) after :)

By Artyom D

•Jun 30, 2019

It's mind blowing.

Course is well structured, pace is doable and dr. Keith is pleasure to listen to.

By Ella B

•Jul 5, 2018

Excellent introduction which teaches the rigour necessary for a mathematics degree extremely well.

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