Mathematical Mindsets: Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching (Mindset Mathematics)

by Jo Boaler

What Is Mathematics, Really?

What Is Mathematics, Really?

When students see mathematics as a set of ideas and relationships and their role as one of thinking about the ideas, and making sense of them, they have a mathematical mindset.

The high-achieving students solved the questions by using what is known as number sense—they interacted with the numbers flexibly and conceptually. The low-achieving students used no number sense and seemed to believe that their role was to recall and use a standard method even when this was difficult to do.

Notably, the brain can only compress concepts; it cannot compress rules and methods.

Approaching mathematics conceptually is the essence of what I describe as a mathematical mindset.

The game is played by partners. Each child has a blank 100 grid.

看起来很好的游戏值得研究和试用

The aim of the game is to match cards with the same answer, shown through different representations, with no time pressure.

There is a lot of evidence that homework, of any form, is unnecessary or damaging;

I told him that students were failing algebra not because algebra is so difficult, but because students don't have number sense, which is the foundation for algebra.