Introduction to Mathematical Thinking

开始时间: 04/22/2022 持续时间: Unknown

所在平台: CourseraArchive

课程类别: 数学

大学或机构: CourseraNew



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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.

数学思维导论:学习如何以数学家的方式思考-数千年来发展的强大认知过程。   数学思维与数学并不相同–至少与我们学校系统中通常介绍的数学不同。学校数学通常侧重于解决高度定型问题的学习程序。专业的数学家认为有一种解决实际问题的方法,这些问题可能是由日常生活,科学或数学本身引起的。在学校数学上取得成功的关键是学会在盒子里思考。相反,数学思维的一个关键特征是开箱即用的思维,这是当今世界的一项宝贵能力。本课程有助于发展这种关键的思维方式。


START with the Welcome lecture. It explains what this course is about. (It comes with a short Background Reading assignment, to read before you start the course, and a Reading Supplement on Set Theory for use later in the course, both in downloadable PDF format.) This initial orientation lecture is important, since this course is probably not like any math course you have taken before – even if in places it might look like one! AFTER THAT, Lecture 1 prepares the groundwork for the course; then in Lecture 2 we dive into the first topic. This may all look like easy stuff, but tens of thousands of former students found they had trouble later by skipping through Week 1 too quickly! Be warned. If possible, form or join a study group and discuss everything with them. BY THE WAY, the time estimates for watching the video lectures are machine generated, based on the video length. Expect to spend a lot longer going through the lectures sufficiently well to understand the material. The time estimates for completing the weekly Problem Sets (Quiz format) are a bit more reliable, but even they are just a guideline. You may find yourself taking a lot longer.



Learn how to think the way mathematicians do – a powerful cognitive process developed over thousands


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