![]() Front cover | |
Author | Paul Lockhart |
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Country | United States |
Language | English |
Genre | Philosophy, Mathematics |
Published | 2009 Bellevue Literary Press |
Media type | Print (paperback) |
Pages | 140 |
ISBN | 978-1-934137-17-8 |
A Mathematician's Lament, often referred to informally as Lockhart's Lament, is a short book on mathematics education by Paul Lockhart, originally a research mathematician at Brown University and U.C. Santa Cruz, and subsequently a math teacher at Saint Ann's School in Brooklyn, New York City for many years. This strongly worded opinion piece is organized into two parts. The first part, "Lamentation", criticizes the way mathematics is typically taught in American schools and argues for an aesthetic, intuitive, and problem-oriented approach to teaching. The second part, "Exultation", gives specific examples of how to teach mathematics as an art.
This book was developed from a 25-page essay that was written in 2002, originally circulated in typewritten manuscript copies, and subsequently published by Keith Devlin on his online column for the Mathematical Association of America's webzine MAA Online. [1]
"The first thing to understand is that mathematics is an art. The difference between math and the other arts, such as music and painting, is that our culture does not recognize it as such."
"Other math courses may hide the beautiful bird, or put it in a cage, but in geometry class, it is openly and cruelly tortured."
Fibonacci, also known as Leonardo Bonacci, Leonardo of Pisa, or Leonardo Bigollo Pisano, was an Italian mathematician from the Republic of Pisa, considered to be "the most talented Western mathematician of the Middle Ages".
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and find out the place of mathematics in people's lives. The logical and structural nature of mathematics makes this branch of philosophy broad and unique.
Godfrey Harold Hardy was an English mathematician, known for his achievements in number theory and mathematical analysis. In biology, he is known for the Hardy–Weinberg principle, a basic principle of population genetics.
Keith James Devlin is a British mathematician and popular science writer. Since 1987 he has lived in the United States. He has dual British-American citizenship.
Béla Bollobás FRS is a Hungarian-born British mathematician who has worked in various areas of mathematics, including functional analysis, combinatorics, graph theory, and percolation. He was strongly influenced by Paul Erdős since the age of 14.
Richard Evan Schwartz is an American mathematician notable for his contributions to geometric group theory and to an area of mathematics known as billiards. Geometric group theory is a relatively new area of mathematics beginning around the late 1980s which explores finitely generated groups, and seeks connections between their algebraic properties and the geometric spaces on which these groups act. He has worked on what mathematicians refer to as billiards, which are dynamical systems based on a convex shape in a plane. He has explored geometric iterations involving polygons, and he has been credited for developing the mathematical concept known as the pentagram map. In addition, he is a bestselling author of a mathematics picture book for young children. His published work usually appears under the name Richard Evan Schwartz. In 2018 he is a professor of mathematics at Brown University.
George Eyre Andrews is an American mathematician working in special functions, number theory, analysis and combinatorics.
A math circle is a learning space where participants engage in the depths and intricacies of mathematical thinking, propagate the culture of doing mathematics, and create knowledge. To reach these goals, participants partake in problem-solving, mathematical modeling, the practice of art, and philosophical discourse. Some circles involve competition, while others do not.
Father Magnus J. Wenninger OSB was an American mathematician who worked on constructing polyhedron models, and wrote the first book on their construction.
Evan Michael O'Dorney is an American mathematician who is a postdoctoral associate at Carnegie Mellon University. As a home-schooled high school student and college student, he won many contests in mathematics and other subjects, including the 2007 Scripps National Spelling Bee, 2011 Intel Science Talent Search, four International Math Olympiad medals, and three Putnam Fellowships. A 2013 report by the National Research Council called him "as famous for academic excellence as any student can be".
Mathematical beauty is the aesthetic pleasure derived from the abstractness, purity, simplicity, depth or orderliness of mathematics. Mathematicians may express this pleasure by describing mathematics as beautiful or describe mathematics as an art form, or, at a minimum, as a creative activity.
In geometry, the napkin-ring problem involves finding the volume of a "band" of specified height around a sphere, i.e. the part that remains after a hole in the shape of a circular cylinder is drilled through the center of the sphere. It is a counterintuitive fact that this volume does not depend on the original sphere's radius but only on the resulting band's height.
Mathematics and art are related in a variety of ways. Mathematics has itself been described as an art motivated by beauty. Mathematics can be discerned in arts such as music, dance, painting, architecture, sculpture, and textiles. This article focuses, however, on mathematics in the visual arts.
Walter Warwick Sawyer was a mathematician, mathematics educator and author, who taught on several continents.
Shahn Majid is an English pure mathematician and theoretical physicist, trained at Cambridge University and Harvard University and, since 2001, a professor of mathematics at the School of Mathematical Sciences, Queen Mary, University of London.
Edward Vladimirovich Frenkel is a Russian-American mathematician working in representation theory, algebraic geometry, and mathematical physics. He is a professor of mathematics at University of California Berkeley, a member of the American Academy of Arts and Sciences, and author of the bestselling book Love and Math.
George David Birkhoff was an American mathematician best known for what is now called the ergodic theorem. Birkhoff was one of the most important leaders in American mathematics in his generation, and during his time he was considered by many to be the preeminent American mathematician.
Marion Walter was an internationally-known mathematics educator and professor of mathematics at the University of Oregon in Eugene, Oregon. There is a theorem named after her, called Marion Walter's Theorem or just Marion's Theorem as it is affectionately known.
Burkard Polster is a German mathematician who runs and presents the Mathologer channel on YouTube. He is a professor of mathematics at Monash University in Melbourne, Australia.