検索キーワード： 数学

Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K-12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur.

The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and listeners of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought.  

If you move at high speed, time slows down, space squashes up, and you get heavier. Travel fast enough and you could weigh as much as a jumbo jet, be flattened thinner than a CD without feeling a thing - and live forever! As for the angles of a triangle, they do not always have to add up to 180 degrees. And then, of course, there are black holes. These are but a few of the extraordinary consequences of Einstein's theory of relativity. 

In this Very Short Introduction Philip K. Maini describes the art of modeling, what it is, why we do it, and illustrates how the abstract way of thinking that is the essence of mathematics enables us to transfer knowledge from one area of research to another.

Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-technical terms, showing that logic is a powerful and exciting part of modern philosophy.

Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate...

In this "important and comprehensive" (New Yorker) guide to statistical thinking, discover how you can use data and mathematics to gain a better understanding of life’s biggest problems. The age of big data has made statistical literacy more important than ever. In The Art of Statistics, David...

Are you fascinated by the laws of nature, quantum physics, and its basic concepts that seem meaningless? Quantum mechanics is a field that attempts to understand the behavior of subatomic objects using mathematical notions. The book explains uncertainty and time dependence by further elaborating on the principles of quantum states. It also describes the entanglement of particle and wave states, thereby offering interested listeners the possibility of understanding physics at a slower tempo.

Game theory means rigorous strategic thinking. It’s the art of anticipating your opponent’s next moves, knowing full well that your rival is trying to do the same thing to you. Though parts of game theory involve simple common sense, much is counterintuitive, and it can only be mastered by developing a new way of seeing the world. Using a diverse array of rich case studies - from pop culture, TV, movies, sports, politics, and history - the authors show how nearly every business and personal interaction has a game-theory component to it.

Britain’s most famous mathematician takes us to the edge of knowledge to show us what we cannot know. Is the universe infinite? Do we know what happened before the Big Bang? Where is human consciousness located in the brain? And are there more undiscovered particles out there, beyond the Higgs...

The brain is made up of 85 billion neurons, which are connected by over 100 trillion synapses. For over a century, a diverse array of researchers have been trying to find a language that can be used to capture the essence of what these neurons do and how they communicate - and how those communications create thoughts, perceptions, and actions. The language they were looking for was mathematics, and we would not be able to understand the brain as we do today without it.

「医学部に行きたい…。でも、ハードルが高くて不安。」 そんなあなたをサポートするために、この番組は生まれました。 この番組のパーソナリティである上谷は、地方の小さな村で育ち、塾や予備校のない環境で医学部を目指しました。しかし、十分な学習環境が整っていなかったため、夢を断念せざるを得なかったという苦い経験があります。だからこそ、同じように進学や勉強方法に悩む全国の受験生や保護者の方々が、迷うことなく...

Bertrand Russell wrote that mathematics can exalt "as surely as poetry". This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity, or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections.

Hello World takes us on a tour through the good, the bad, and the downright ugly of the algorithms that surround us on a daily basis. Mathematician Hannah Fry reveals their inner workings, showing us how algorithms are written and implemented, and demonstrates the ways in which human bias can literally be written into the code. By weaving in relatable, real world stories with accessible explanations of the underlying mathematics that power algorithms, Hello World helps us to determine their power, expose their limitations, and examine whether they really are improvements.

＜概要＞ 数学は、自然の法則を表現するための美しい言語です。 このポッドキャストでは、数学の基礎から応用まで様々なテーマを取り扱い、数学の魅力をお伝えします。数学が好きな人も、苦手意識を持っている人も、ぜひ数学の魅力に触れてみてください。 ＜初めての方へ＞ 数学沼ラジオのトピックレベルを知りたい場合　→　#1 みんな知ってる数学をさらに深堀りしたい場合　→　#6 日常生活の中でもっと数学を感じたい場合　　　→...

Learn how to think like a physicist from a Nobel laureate and "one of the greatest minds of the twentieth century" (New York Review of Books) with these six classic and beloved lessons It was Richard Feynman's outrageous and scintillating method of teaching that earned him legendary status among...

Math has a reputation for being inaccessible. People think that it requires a special gift or that comprehension is a matter of genes. Yet, the greatest mathematicians throughout history, from Rene Descartes to Alexander Grothendieck, have insisted that this is not the case.

Statistics has played a leading role in our scientific understanding of the world for centuries, yet we are all familiar with the way statistical claims can be sensationalised, particularly in the media. In the age of big data, as data science becomes established as a discipline, a basic grasp of statistical literacy is more important than ever. In The Art of Statistics, David Spiegelhalter guides the listener through the essential principles we need in order to derive knowledge from data. 

I saggi di questo volume, che toccano la politica, la religione, la letteratura, la filosofia, la matematica e la scienza, sono raccolti in sezioni che si aprono con interviste immaginarie a personaggi del passato (Hitler, Gesù, Dante, Aristotele, Archimede, Newton) e si chiudono con interviste reali a quelli del presente (Chomsky, il Dalai Lama, Saramago, Kripke, Nash e Watson). Nel mezzo, il matematico impertinente dispiega l'arsenale della ragione per argomentare che non è affatto vero che non possiamo non dirci cristiani, o che siamo tutti americani.

The legendary bestseller that encouraged millions of readers to look at the hidden side of everything | Read by author Stephen J. Dubner! Which is more dangerous: a gun or a swimming pool? Why do drug dealers still live with their moms? What do real estate agents and the KKK have in common?...