Clearer Thinking with Spencer Greenberg 2024年07月16日
Rethinking what it means to learn math (with Eugenia Cheng)
index_new5.html
../../../zaker_core/zaker_tpl_static/wap/tpl_guoji1.html

 

本篇文章探讨了数学教育的本质目标,以及如何培养学生的数学思维和批判性思维能力。作者Eugenia Cheng 是一位数学家、教育家和作家,她认为数学教育不应该仅仅停留在解题技巧的层面,而应该帮助学生理解数学的本质,培养他们的逻辑思维能力和批判性思维能力。文章还探讨了数学与现实世界之间的关系,以及如何将数学知识应用于解决现实问题。

🤔 **数学教育的目标:** 数学教育不应该仅仅局限于解题技巧,更重要的是培养学生的数学思维和批判性思维能力。数学教育的目标是帮助学生理解数学的本质,并能够运用数学知识解决现实问题。数学可以帮助学生培养逻辑思维能力、批判性思维能力和解决问题的能力。

🧐 **数学与现实世界的关系:** 数学并非抽象的概念,它与现实世界有着密切的联系。数学可以帮助我们理解自然规律、社会现象和经济规律。数学工具可以用来解决现实问题,例如预测天气、设计桥梁和分析数据。

💡 **数学教育的创新:** 就像阅读和写作需要分别进行教学一样,数学教育也应该根据不同的技能要求进行区分。例如,可以将数学教学分为基础数学和应用数学两部分,分别培养学生的数学基础和应用能力。

🧠 **数学与批判性思维:** 数学可以帮助学生培养批判性思维能力,因为数学要求学生对问题进行深入思考,并运用逻辑推理得出结论。数学教育可以帮助学生学习如何分析问题、提出问题、解决问题,以及如何对信息进行评估和判断。

💖 **数学与同理心:** 数学可以帮助学生培养同理心,因为数学要求学生理解他人的观点和思维方式。数学教育可以帮助学生学习如何与他人合作、沟通、协商和解决问题。

Read the full transcript here.

What should the goals of math education be? What does it mean to "think well"? Is math real? Why are feelings of bewilderment or confusion so common in math classes but not as common in other subjects? Schools now generally offer reading and writing instruction separately — even though both are important for language use — because the skill sets they require can differ so widely; so how might math education benefit from drawing a similar distinction? What should math classes impart to students that will enable them to engage as citizens with complex or controversial issues? What does it mean to ask good questions in math? Can math teach empathy? What is category theory? Can most people learn most things if they just have the right teacher and/or educational materials?

Eugenia Cheng is a mathematician, educator, author, public speaker, columnist, concert pianist, composer, and artist. She is Scientist In Residence at the School of the Art Institute of Chicago. She won tenure in Pure Mathematics at the University of Sheffield, UK, and is now Honorary Visiting Fellow at City, University of London. She has previously taught at the Universities of Cambridge, Chicago, and Nice, and holds a PhD in pure mathematics from the University of Cambridge. Alongside her research in Category Theory and undergraduate teaching, her aim is to rid the world of "math phobia". Eugenia was an early pioneer of math on YouTube, and her videos have been viewed around 15 million times to date. She has also written several books, including: How to Bake Pi (2015); Beyond Infinity (2017); The Art of Logic (2018); x + y : A Mathematician's Manifesto for Rethinking Gender (2020); The Joy of Abstraction: A Exploration of Math, Category Theory, and Life (2022); Is Math Real? How Simple Questions Lead Us to Mathematics' Deepest Truths (2023); and two children's books: Molly and the Mathematical Mysteries and Bake Infinite Pie with x + y. She also writes the "Everyday Math" column for the Wall Street Journal and has completed mathematical art commissions for Hotel EMC2, 6018 North, the Lubeznik Center, and the Cultural Center, Chicago. She is the founder of the Liederstube, an intimate oasis for art song based in Chicago. As a composer she has been commissioned by GRAMMY-nominated soprano Laura Strickling and is one of the composers for the LYNX Amplify series, setting work by autistic poets who are primarily non-speaking. Learn more about her at her website, eugeniacheng.com.

Staff

Music

Affiliates

[Read more]

Fish AI Reader

Fish AI Reader

AI辅助创作,多种专业模板,深度分析,高质量内容生成。从观点提取到深度思考,FishAI为您提供全方位的创作支持。新版本引入自定义参数,让您的创作更加个性化和精准。

FishAI

FishAI

鱼阅,AI 时代的下一个智能信息助手,助你摆脱信息焦虑

联系邮箱 441953276@qq.com

相关标签

数学教育 数学思维 批判性思维 应用数学 同理心
相关文章