如何学好数学 - 信心篇

How to Learn Math

最近看了斯坦福的一门课程,将的如何学好数学。看完以后根据自己学习经历做一下总结。

数学是不是什么?

数学不是公式,数学也不需要死记硬背,死记硬背作用不大。

数学是什么?

说一个东西是什么的时候,往往很难回答。数学是研究事物之间联系和事物的规律的探索过程的总结。

学数学的核心理念是什么?

数学不是比快慢,而是需要我们深入思考,并全面思考,思考不同事物和学问或问题之间的联系。

别害怕,也别害怕失败

并没有数学天才,也并没有谁天生就擅长数学。只是我们的心态变了。只要我们拥有积极的心态,不怕失败麻烦。重要的是心态和正确看待失败。

所以,人人都能学好数学。

下面观点的是斯坦福公开课中提出的:

Anyone can achieve at high levels in math.

The brain grows from experience.

Stereotypes – like pink aisles and blue aisles – are damaging for math.

A growth mindset – a belief that you can get smarter with hard work – is really important for math success.

Mistakes in math grow your brain.

Being good at math does not mean being fast. Depth is more important than speed.

Number flexibility (as we saw in 18 x 5) is important and valuable.

All of math should make sense to you.

Talking about math is helpful and important.

Math is a connected subject and it is important to see and make mathematical connections.

Intuition is important in math.

It is helpful to represent math visually as well as with physical objects.

It is important to focus on the big idea in math eg a fraction is a relationship.

Math is about pattern finding.

Math is everywhere in nature eg in snowflakes, spider webs, pine cones.

Math is everywhere in sport eg dance, soccer, tennis.

Math in the real world is about connections, drawing, reasoning and applying ideas, not formulas.

Good apps and games teach math conceptually and visually.

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