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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....

NR

4. März 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

AM

23. Nov. 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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von Arnav J

•11. Apr. 2022

Yay

von Celine D

•24. Dez. 2017

:)

von 朱腾云

•24. Mai 2017

很好

von Yining S

•13. Mai 2017

很棒

von Benit G

•3. Apr. 2021

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von Subhee

•24. Apr. 2020

k

von Meg- n n

•2. Juli 2017

v

von Nico S

•20. März 2017

Here you will learn the basic skills for writing and judging proofs.

At core, the taught material consists of the content of Keith Devlin's book 'Introduction to Mathematical Thinking', which is available for low fee. But at this course are come lots of students together and they can help each other at struggling through the plenty exercises which accompany the lectures. 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. And although it's a pretty good Idea that the Instructor presents the learning stuff at the videos by writing it on a small sheet with a pen, his handwriting is sometimes so terrible that it's hardly to read.

von Hariprasad G

•15. Feb. 2018

It is clear that a lot of effort has gone into developing this MOOC, with engaging content and splendid delivery by Prof. Devlin throughout. This is commendable, especially considering the course is traditionally meant for a conventional classroom and a lot of peer interaction, which is hard to simulate in a MOOC.

The Rubric was a little hard to wrap your head around, and often I found my views clashing with that of the instructor (I'm sure he's right, but as a student it's not always easy to see where he's coming from. For example, if you've been lenient in your moderation and given a middling score to a proof, but he's gone on to trash the same proof)

Having said that, it was a delight to learn with the Professor, who emphasizes first principles, assumes nothing, and teaches you to do the same.

von Bodner N

•25. Mai 2017

Excellent, this was the course I would have needed when I started at university. I really enjoyed to puzzle arround, try to solve the problems and get my brain working. Only minus is the MOOC form, that does not allow for the assessments, which keeps the course a little low impact. Eventually, I would not have been able to take it if I would have had to invest more time ;-) . For me it was a perfect reminder to get into it again. Thanks.

von Deleted A

•26. Juli 2017

I really enjoyed the course and learned a lot! It became very difficult to follow toward the end, and I thought the standard of explanation was diminished by the end of week 8 so I could no longer follow. This was reflected in my final assignment, as I was not able to complete questions 9 and 10. Thanks for a great course!

von Pritha N

•1. Juli 2022

It was one of the best experiences I had...I was exposed to basic college-level mathematics which motivated me.. I really liked the process that not only marks matter, but what matters is thinking analytically and applying it in the real world..thank you to Dr Keith Devlin for such an innovative course

von Cássio M B V

•3. Mai 2017

excellent course. Unfortunately i lacked the algebric basis to follow and completely understand all the exercises and examples given. I followed all lessons trough the end, but was not able to do the test flight and complete it. but i will try again in future, when my algebric skills are better

von Ross A

•11. Mai 2020

This is really an introduction to mathematical proofs after going through some formal logic and mathematical quantifiers.

Keith Devlin is an excellent presenter and the problems he sets during the course all relate well to the topic he has discussed.

No practical use, but thoroughly enjoyable.

von Lark N

•4. Jan. 2021

Every thing is quite good in my opinion. The only problem is that community is not so active.

I really learn some amazing stuff, that helped my improve in many things, including competitive programming, computer science study, critical thinking and of course, mathematical proofs.

von jeffrey o

•3. Sep. 2017

I thought it was very interesting and for someone who has not taken a math course in 55+ years challenging. I wish Professor Devlin would have explained some things to a greater extent but I suppose for most of the class, that was not necessary.

von bogdan c

•24. Feb. 2020

i liked following this course. i just have some minor remarks: it felt like it was a little bit too "slow" although i agree with the idea that acceding to "mathematical thining" takes time. also i found the quizzes during courses annoying.

von Juan C A R

•23. März 2022

This is for mathematicians, so it's a bit difficult for someone with few knowledge of mathematics at all. It's very good bcause it develps the correct logic for it but I think this course needs more words to explain the common things

von Dhanada M

•4. Mai 2020

This is an excellent course that I would strongly recommend to anybody interested in picking up some fundamental skills essential for developing a Mathematical way of thinking! Such a skill would be valuable in a range of fields.

von Shiqian Y

•27. Sep. 2017

Great course for the students who knows little about college mathematics. For those one who are already professional at university mathematics, this course is very easy to follow but still benefits students form many aspects.

von Harish M

•20. Juni 2017

From my understanding so far; it's a good course that lets you quantify your basic logical thinking ability and understand your work areas if you're looking at understanding the beautiful world of mathematics.Happy Learning

von Volkman M

•11. Mai 2017

Great course for those who might want an additional understanding of mathamatical logic and number theory. For me its was challenging, but I learned essential math patterns and basic skills I wish I got in High School.

von Iliya L D

•10. Juli 2022

Although I'm a 9th grade student and found many concepts hard, the course was very informative and interesting. Thank you coursera for offering me the opportunity to take this course with stanford.

von Angelina O

•10. Apr. 2018

I am happy to learn Math from the beginning of the beginning. Moreover, if this course was read for me at school, I am sure that I could have much more closest relations with math:)

von Andrey D

•24. Aug. 2017

Course is great but it is difficult to print assignments in PDF because printers is not accessible by everyone. It is better when all assignments use coursera platform.

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