九个原则
教出不同凡响的数学

1、启发式学习

数学应该能够启发学生、鼓励学生,而不是使学生害怕、困惑。我们应该向学生展示数学令人称奇的美丽和无穷的魅力,使每个人都愿意“做数学”。

2、故事性

故事能够激发学生,使学习内容更容易被记住。或许你正在学习数学在现实生活中的运用、有意思的谜题、数学史等内容,故事能够有效地说明为什么你正在学习的内容是重要的。閱讀更多

3、探索和创造

允许学生去探索、创造、犯错、实践批判性思维、并发现新创意,而不是仅仅告诉他们要记住流程和最后的结果。閱讀更多

4、数学无处不在

我们的生活被数学模式和数学关系包围着。学生应该能够辨识生活中的数学,并且能利用数学能力解决生活问题。

5、无用但有意义

数学课程体系中不是所有的内容都能在日常生活中得到运用(莫扎特的音乐和莎士比亚的戏剧也做不到),但每一块内容都要因其实用性或数学思想而有意义。閱讀更多

6、数学是看得见的

方程是有用的,但也有很多更具代表性的数学概念和数学关系。数学内容应尽量可视化且丰富多彩。

7、直觉比严谨和熟练更重要

数学教育中,严谨和熟练是非常重要的。但数学教育最主要的目标应该是数学直觉、深度思考和基本的计算能力。 閱讀更多

8、讨论与合作

数学绝不是一种孤芳自赏的追求,许多真正的问题不仅仅有一个正确答案。讨论和合作是数学中每一个课程的关键。

9、数学是活的

为了使数学更鲜活,像各个流派的数学家和科学家一样,追溯数学的历史、学习近期的数学发现、了解目前的数学研究是无比重要的。

Nine Principles
For Great Mathematics Content

1. Learning Should Inspire

Mathematics should inspire and empower students, not scare or confuse them. We should show the surprising beauty and great power of mathematics – and that everyone can “do maths”.

2. Tell a Story

Storytelling can motivate students, make the content more memorable, and justify why what you’re learning is important – including real-life applications, curious puzzles, or historical background. More…

3. Exploration and Creativity

Allow students to explore, be creative, make mistakes, practise critical thinking, and discover new ideas – rather than just telling them the final results and procedures to memorise. More…

4. Mathematics is Everywhere

We are always surrounded by mathematical patterns and relationships. Students should be able to recognise these, and harness the power of maths to solve problems in everyday life.

5. Not Useful, but Meaningful

Not all topics in the curriculum have to be useful in everyday life (neither are Mozart or Shakespeare), but every topic should be meaningful – because of its applications or mathematical significance. More…

6. Mathematics is Visual

Equations are useful, but there are often much better representations of mathematical concepts and relationships. The content should be as visual and colourful as possible.

7. Intuition over Rigor or Fluency

Rigor is an important part of mathematics, and there is also a place for practising fluency – but the main goal should be to develop intuition, deep understanding, and general numeracy. More…

8. Discussion and Teamwork

Mathematics is rarely a solitary pursuit, and many real problems don’t just have a single, correct answer. Discussions, collaboration and teamwork should be a key part of every curriculum.

9. Mathematics is Alive

To make mathematics more relevant, it is important to portray its history, recent discoveries, and current research – as well as the diverse groups of mathematicians and scientists doing this work.