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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....

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.

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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von Yining S

•May 13, 2017

很棒

von Meg- n n

•Jul 02, 2017

v

von Nico S

•Mar 20, 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

•Feb 15, 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 Sean R

•Nov 22, 2017

Overall I thought it was pretty good. Explanations are straight forward, and easy to follow. Small little quizzes are given throughout videos to ensure that people are paying attention during the lessons.

The only negative part is that it's clearly a class that's designed around you working with multiple people. If you don't, you won't be able to study as well. Fortunately, there are forums, but with the nature of forums, responses can range from "immediate" to "never."

von Bodner N

•May 25, 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 Megan G

•Jul 26, 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 Cássio M B V

•May 03, 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 Jeffrey O

•Sep 03, 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

•Feb 24, 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 Shiqian Y

•Sep 27, 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

•Jun 20, 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

•May 11, 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 Angelina O

•Apr 11, 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

•Aug 24, 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.

von Marcos V L R

•Feb 08, 2018

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!

von Marc B i M

•Aug 04, 2017

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.

von Omair A

•Jun 10, 2017

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.

von Chen N

•Jan 19, 2019

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

von Olexa M

•May 20, 2017

I'm listening this course to improve my English in domain of math.

Course is a little bit boring but pleasant to listen :)

von 程语涵

•Jan 12, 2020

A class that could help with building a logical mathematical thinking mode and give a new sight/way to learn.

von Newton K

•Jul 23, 2018

Really great way to deliver lectures and make us wow in building ability to think differently in mathematics.

von Javier G

•Oct 25, 2019

Only the last unit was hard to understand, as I think it wasn´t well explained. I recommend this course.

von Kirk S

•Mar 30, 2019

Pretty awesome. I learned a lot. It wasn't easy, as this was mostly new material. Fascinating stuff.

von Joseph A D

•Mar 14, 2017

A very enjoyable introduction to proofs, number theory, and some real analysis.

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