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

2018年3月4日

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

PD

2020年6月29日

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.

篩選依據：

創建者 Benit G

•2021年4月3日

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創建者 Subhee

•2020年4月24日

k

創建者 Meg- n n

•2017年7月2日

v

創建者 Nico S

•2017年3月20日

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.

創建者 Hariprasad G

•2018年2月15日

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.

創建者 Rob G

•2021年1月31日

Great but ditch the test flight as it seems really arbitrary on who is marking as the people marking including myself have no experience marking others work. Some of the assignments could have been more thoroughly reviewed as opposed to the "i will go through a few questions and leave the rest for you and your classmates to work out". When you are learning how to do proofs it is really dangerous to leave your learning up to other people who are learning how to do proofs.

創建者 Bodner N

•2017年5月25日

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.

創建者 Deleted A

•2017年7月26日

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!

創建者 Cássio M B V

•2017年5月3日

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

創建者 Ross A

•2020年5月11日

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.

創建者 UNKNOWER N

•2021年1月4日

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.

創建者 Zirou-matikz D

•2021年6月25日

El curso es bueno a secas. En mi opinión, se podrían usar materiales audiovisuales para hacerlo un poco más atractivo e interactivo, pero considerando que está basado en la lógica y el desarrollo del pensamiento individual, cumple con los objetivos del mismo.

創建者 Jeffrey O

•2017年9月3日

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.

創建者 bogdan c

•2020年2月24日

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.

創建者 Dhanada M

•2020年5月4日

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.

創建者 Shiqian Y

•2017年9月27日

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.

創建者 Harish M

•2017年6月20日

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

創建者 Volkman M

•2017年5月11日

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.

創建者 Angelina O

•2018年4月10日

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:)

創建者 Andrey D

•2017年8月24日

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.

創建者 Marcos V L R

•2018年2月8日

Boa iniciativa, boas palestras e aulas. Todavia, necessita-se de um adaptação para países da língua portuguesa. Pelo valor pago pelo curso, nada mais justo!

創建者 Marc B i M

•2017年8月4日

Nice course overall. It makes you do and achieve what it says, so if you want to learn mathematical thinking that is the best introductory course for you.

創建者 Kenny A

•2020年9月19日

some of the functionality of the coursera site makes accomplishing tasks cumbersome, specifically week 9, but overall a great introduction to the topic.

創建者 Omair A

•2017年6月10日

A brilliant course must-take course, all that it needs is a little polishing up to cater for the very short attention span that today's netizens have.

創建者 Chen N

•2019年1月19日

Really nice course, with many insightful and inspiring point. However, this course should be marked as "beginners" because it's too easy...

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