cover of episode Abstract Mathematology (UH, IS MATH REAL?) with Eugenia Cheng

Abstract Mathematology (UH, IS MATH REAL?) with Eugenia Cheng

2023/11/22
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Eugenia Cheng: 本期节目探讨了纯数学与应用数学的区别,以及人们对数学的误解和恐惧。她认为数学的价值在于其效用,而非其真实性。数学思维有助于提升同理心,通过理解论证结构和寻找不同情境间的类比来理解他人观点。她还谈到了数学学习中情感的重要性,以及如何将数学与学生已有情感联系的主题相结合,提升学习兴趣。此外,她还讨论了左右脑分工的观点已被证伪,数学学习需要大脑的整体参与。数学的发展是建立在几千年积累的基础上的,个体需要借助已有知识和交流才能快速掌握。数学能力主要取决于学习资源和帮助,而非先天禀赋。她还谈到了Common Core的改革,以及如何改进数学教学方法。她认为数学学习中遇到困难是正常的,应鼓励学生提出问题并享受学习过程。她还解释了虚数、斐波那契数列等数学概念,以及算法在日常生活中的应用。最后,她谈到了自己对数学教育的看法,以及如何帮助人们克服对数学的恐惧和误解。 Alie Ward: Alie Ward作为主持人,引导Eugenia Cheng阐述了抽象数学的概念、数学学习中遇到的挑战以及数学在日常生活中的应用。她与Eugenia Cheng就数学的本质、数学学习中的情感因素、以及如何改进数学教育等问题进行了深入探讨。她还提出了听众关于无限、零、虚数、斐波那契数列等数学概念的疑问,并引导Eugenia Cheng进行详细解释。

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Math wants to be friends. Let mathematician, author and Abstract Mathematologist Dr. Eugenia Cheng introduce you to a secret world: the artsy and emotional side of math. Dr. Cheng helps answer the age-old and (recently viral) question, “IS MATH REAL?” We chat about Fibonacci sequences, golden ratios, common core, loving thy neighbor, slide rules vs. calculators, imaginary numbers, the nature of zero, infinite cookies, and more. Turns out that math can change your relationships and permeate your every thought.. if you let it. Also: wtf, Barbie?

Visit Dr. Eugenia Cheng’s website) and follow her on Twitter)

Browse Dr. Cheng’s books) including Is Math Real?: How Simple Questions Lead Us to Mathematics' Deepest Truths (2023)), The Joy of Abstraction: An Exploration of Math, Category Theory, and Life (2022)), and How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics (2016))

A donation went to Math Circles of Chicago)

More episode sources and links)

Smologies (short, classroom-safe) episodes)

Other episodes you may enjoy: Quantum Ontology (WHAT IS REAL?)), Dolorology (PAIN)), Fearology (FEAR)), Egyptology (ANCIENT EGYPT)), Classical Archeology (ANCIENT ROME)), Economic Sociology (MONEY/FREAKONOMICS)), Tiktokology (THE TIKTOK APP))

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Follow @AlieWard on Twitter) and Instagram)

Editing by Mercedes Maitland of Maitland Audio Productions)

Managing Director: Susan Hale

Scheduling Producer: Noel Dilworth

Transcripts by Emily White of The Wordary)

Website by Kelly R. Dwyer)

Theme song by Nick Thorburn