Book picks similar to
The Psychology of Learning Mathematics: Expanded American Edition by Richard R. Skemp
education
mathematics
non-fiction
math
The New York Times Book of Mathematics: More Than 100 Years of Writing by the Numbers
Gina Kolata - 2013
Big and informative, "The New York Times Book of Mathematics" gathers more than 110 articles written from 1892 to 2010 that cover statistics, coincidences, chaos theory, famous problems, cryptography, computers, and many other topics. Edited by Pulitzer Prize finalist and senior "Times" writer Gina Kolata, and featuring renowned contributors such as James Gleick, William L. Laurence, Malcolm W. Browne, George Johnson, and John Markoff, it's a must-have for any math and science enthusiast!
A Brief History of Mathematical Thought: Key concepts and where they come from
Luke Heaton - 2015
In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story.
The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations.
In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.
Wonders Beyond Numbers: A Brief History of All Things Mathematical
Johnny Ball - 2017
By introducing us to the major characters and leading us through many historical twists and turns, Johnny slowly unravels the tale of how humanity built up a knowledge and understanding of shapes, numbers and patterns from ancient times, a story that leads directly to the technological wonderland we live in today. As Galileo said, 'Everything in the universe is written in the language of mathematics', and Wonders Beyond Numbers is your guide to this language.Mathematics is only one part of this rich and varied tale; we meet many fascinating personalities along the way, such as a mathematician who everyone has heard of but who may not have existed; a Greek philosopher who made so many mistakes that many wanted his books destroyed; a mathematical artist who built the largest masonry dome on earth, which builders had previously declared impossible; a world-renowned painter who discovered mathematics and decided he could no longer stand the sight of a brush; and a philosopher who lost his head, but only after he had died.Enriched with tales of colourful personalities and remarkable discoveries, there is also plenty of mathematics for keen readers to get stuck into. Written in Johnny Ball's characteristically light-hearted and engaging style, this book is packed with historical insight and mathematical marvels; join Johnny and uncover the wonders found beyond the numbers.
The Shape of a Life: One Mathematician's Search for the Universe's Hidden Geometry
Shing-Tung Yau - 2019
“An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin,
Boston Globe
“Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.”—Judith Goodstein, American Scientist Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.
The Cambridge Handbook of Expertise and Expert Performance
K. Anders Ericsson - 2006
Methods are described for the study of experts' knowledge and their performance of representative tasks from their domain of expertise. The development of expertise is also studied by retrospective interviews and the daily lives of experts are studied with diaries. In 15 major domains of expertise, the leading researchers summarize our knowledge on the structure and acquisition of expert skill and knowledge and discuss future prospects. General issues that cut across most domains are reviewed in chapters on various aspects of expertise such as general and practical intelligence, differences in brain activity, self-regulated learning, deliberate practice, aging, knowledge management, and creativity.
The Invisible Gorilla: And Other Ways Our Intuitions Deceive Us
Christopher Chabris - 2010
In The Invisible Gorilla, Christopher Chabris and Daniel Simons, creators of one of psychology’s most famous experiments, use remarkable stories and counterintuitive scientific findings to demonstrate an important truth: Our minds don’t work the way we think they do. We think we see ourselves and the world as they really are, but we’re actually missing a whole lot.Again and again, we think we experience and understand the world as it is, but our thoughts are beset by everyday illusions. We write traffic laws and build criminal cases on the assumption that people will notice when something unusual happens right in front of them. We’re sure we know where we were on 9/11, falsely believing that vivid memories are seared into our minds with perfect fidelity. And as a society, we spend billions on devices to train our brains because we’re continually tempted by the lure of quick fixes and effortless self-improvement. The Invisible Gorilla reveals the myriad ways that our intuitions can deceive us, but it’s much more than a catalog of human failings. Chabris and Simons explain why we succumb to these everyday illusions and what we can do to inoculate ourselves against their effects. Ultimately, the book provides a kind of x-ray vision into our own minds, making it possible to pierce the veil of illusions that clouds our thoughts and to think clearly for perhaps the first time.
Quantum Creativity: Think Quantum, Be Creative
Amit Goswami - 1998
Goswami uses this same duality to explore what he calls “quantum thinking,” which focuses on two levels of thinking—the conscious mind of actuality and the unconscious mind of possibility. He then poses questions that probe the wellspring of creation that exists in each of us. What is creativity? Can anyone be creative? What kinds of creativity are there? And through this inquiry, he lays out a guidebook for understanding the power of the mind to access creativity in a whole new way. Combining the art of creativity with the objectivity of science, Quantum Creativity uses empirical data to support this new method of thinking and outlines how to harness our innate abilities in order to live more creatively. In short, Goswami teaches you how to think quantum to be creative.
Sir Cumference and the First Round Table: A Math Adventure
Cindy Neuschwander - 1997
King Arthur was a good ruler, but now he needs a good ruler. What would you do if the neighboring kingdom were threatening war? Naturally, you'd call your strongest and bravest knights together to come up with a solution. But when your conference table causes more problems than the threat of your enemy, you need expert help. Enter Sir Cumference, his wife Lady Di of Ameter, and their son Radius. With the help of the carpenter, Geo of Metry, this sharp-minded team designs the perfect table conducive to discussing the perfect plan for peace. The first in Sir Cumference series, SIR CUMFERENCE AND THE FIRST ROUND TABLE makes math fun and accessible for everyone.
Future Wise: Educating Our Children for a Changing World
David Perkins - 2014
But how do we know what today's learners will really need to know in the future? Future Wise: Educating Our Children for a Changing World is a toolkit for approaching that question with new insight. There is no one answer to the question of what's worth teaching, but with the tools in this book, you'll be one step closer to constructing a curriculum that prepares students for whatever situations they might face in the future.K-12 teachers and administrators play a crucial role in building a thriving society. David Perkins, founding member and co-director of Project Zero at Harvard's Graduate School of Education, argues that curriculum is one of the most important elements of making students ready for the world of tomorrow. In Future Wise, you'll learn concepts, curriculum criteria, and techniques for prioritizing content so you can guide students toward the big understandings that matter.Understand how learners use knowledge in life after graduation Learn strategies for teaching critical thinking and addressing big questions Identify top priorities when it comes to disciplines and content areas Gain curriculum design skills that make the most of learning across the years of education Future Wise presents a brand new framework for thinking about education. Curriculum can be one of the hardest things for teachers and administrators to change, but David Perkins shows that only by reimagining what we teach can we lead students down the road to functional knowledge. Future Wise is the practical guidebook you need to embark on this important quest.
Turnaround Tools for the Teenage Brain: Helping Underperforming Students Become Lifelong Learners
Eric Jensen - 2013
The latest research shows not only that brains can change, but that teachers and other providers have the power to boost students' effort, focus, attitude, and even IQs. In this book bestselling author Eric Jensen and co-author Carole Snider offer teacher-friendly strategies to ensure that all students graduate, become lifelong learners, and ultimately be successful in school and life. Drawing on cutting-edge science, this breakthrough book reveals core tools to increase student effort, build attitudes, and improve behaviors.Practical, teacher-tested, and research-supported strategies that will empower educators to make lasting and rapid changes Powerful academic evidence showing that every teacher can make a significant--and lasting--difference in student effort, behavior, attitude, and achievement Specific tools for making and managing the student's goal-seeking process and helping to develop a winner's mindset From the very first chapter, educators will learn how to help their struggling students become excited, lifelong learners. Eric Jensen is a noted authority on brain-based learning and student engagement. Carole Snider is an expert in both adolescent success and adult learning.
The Dyslexic Advantage: Unlocking the Hidden Potential of the Dyslexic Brain
Brock L. Eide - 2011
In this paradigm-shifting book, neurolearning experts Drs. Brock and Fernette Eide describe an exciting new brain science that reveals that dyslexic people have unique brain structure and organization. While the differences are responsible for certain challenges with literacy and reading, the dyslexic brain also gives a predisposition to important skills, and special talents. While dyslexics typically struggle to decode the written word, they often also excel in such areas of reasoning as mechanical (required for architects and surgeons), interconnected (artists and inventors); narrative (novelists and lawyers), and dynamic (scientists and business pioneers). The Dyslexic Advantage provides the first complete portrait of dyslexia.
It's a Numberful World: How Math Is Hiding Everywhere
Eddie Woo - 2019
. . like a pendulum? These may not look like math questions, but they are-because they all have to do with patterns. And mathematics, at heart, is the study of patterns. That realization changed Eddie Woo's life-by turning the "dry" subject he dreaded in high school into a boundless quest for discovery. Now an award-winning math teacher, Woo sees patterns everywhere: in the "branches" of blood vessels and lightning, in the growth of a savings account and a sunflower, even in his morning cup of tea! Here are twenty-six bite-size chapters on the hidden mathematical marvels that encrypt our email, enchant our senses, and even keep us alive-from the sine waves we hear as "music" to the mysterious golden ratio. This book will change your mind about what math can be. We are all born mathematicians-and It's a Numberful World.
King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry
Siobhan Roberts - 2006
Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives—from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century.Many of the greatest names in intellectual history—Pythagoras, Plato, Archimedes, Euclid— were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions—his famed Coxeter groups and Coxeter diagrams—have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational.Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.
Pythagoras: His Lives And The Legacy Of A Rational Universe
Kitty Ferguson - 2010
Einstein said that the most incredible thing about our universe was that it was comprehensible at all. As Kitty Ferguson explains, Pythagoras had much the same idea - but 2,500 years earlier. Though known by many only for his famous Theorem, in fact the pillars of our scientific tradition - belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos - hark back to the convictions of this legendary scholar. Kitty Ferguson brilliantly evokes Pythagoras' ancient world of, showing how ideas spread in antiquity, and chronicles the incredible influence he and his followers have had on so many extraordinary people in the history of Western thought and science. 'Pythagoras' influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him' - Arthur Koestler.
We Are All Stardust: Leading Scientists Talk About Their Work, Their Lives, and the Mysteries of Our Existence
Stefan KleinWalter Ziegänsberger - 2010
How does Jane Goodall’s relationship with her dog Rusty inform her thinking about our relationship to other species? Which time and place would Jared Diamond most prefer to live in, in light of his work on the role of chance in history? What does driving a sports car have to do with Steven Weinberg’s quest for the “theory of everything”? Physicist and journalist Stefan Klein’s intimate conversations with nineteen of the world’s best-known scientists (including three Nobel Laureates) let us listen in as they talk about their paradigm-changing work—and how it is deeply rooted in their daily lives. • Cosmologist Martin Rees on the beginning and end of the world • Evolutionary biologist Richard Dawkins on egoism and selflessness • Neuroscientist V. S. Ramachandran on consciousness • Molecular biologist Elizabeth Blackburn on aging • Philosopher Peter Singer on morality • Physician and social scientist Nicholas Christakis on human relationships • Biochemist Craig Venter on the human genome • Chemist and poet Roald Hoffmann on beauty