This book is the result of a unique experience: a research mathematician teaching in an elementary school. It tells about a fascinating discovery made by the author — that elementary mathematics has a lot of depth and beauty, and that the secret to its teaching is in understanding its deep points.The first part of the book discusses the nature of mathematics and its beauty. The second part tells about the teaching principles the author distilled from his experience. The third part is an excursion through the arithmetic studied in elementary school, accompanied by personal stories, historical anecdotes and teaching suggestions. The appendix relates the fascinating story of modern day politics of mathematical education.The book was a bestseller in Israel, and has been translated into many languages. The extraordinary combination of mathematical and didactic insights makes it an essential guide for parents and teachers alike.
Circularity' is the story of a Janus-faced conceptual structure, that on the one hand led to deep scientific discoveries, and on the other hand is used to trick the mind into believing the impossible. Alongside mathematical revolutions that eventually led to the invention of the computer, the book describes ancient paradoxes that arise from circular thinking. Another aspect of circularity, its ability to entertain, leads to a surprising insight on the time old question 'What is humor'. The book presents the ubiquity of circularity in many fields, and its power to confuse and to instruct.See Press Release: Vicious circles -- confusing, instructive, amusing?
What does mathematics have to do with poetry? Seemingly, nothing. Mathematics deals with abstractions while poetry with emotions. And yet, the two share something essential: Beauty. “Euclid alone has looked on beauty bare,” says the title of a poem by Edna St. Vincent Millay.A winner of the CHOICE Outstanding Academic Title 2015, “Mathematics, Poetry and Beauty” tries to solve the secret of the similarity between the two domains. It tries to explain how a mathematical argument and a poem can move us in the same way. Mathematical and poetic techniques are compared, with the aim of showing how they evoke the same sense of beauty.The reader may find that, as Bertrand Russell said, “Mathematics, rightly viewed, possesses not only truth, but supreme beauty — a beauty hold and austere, like that of sculpture … sublimely pure, and capable of a stern perfection such as only the greatest art can show.”
The book goes through middle school mathematics and techniques and methods of its teaching. It is meant to aid parents who wish to be involved in the mathematical education of their children, as well as teachers who wish to learn principles of mathematics and of its teaching.
This book is the result of a unique experience: a research mathematician teaching in an elementary school. It tells about a fascinating discovery made by the author — that elementary mathematics has a lot of depth and beauty, and that the secret to its teaching is in understanding its deep points.The first part of the book discusses the nature of mathematics and its beauty. The second part tells about the teaching principles the author distilled from his experience. The third part is an excursion through the arithmetic studied in elementary school, accompanied by personal stories, historical anecdotes and teaching suggestions. The appendix relates the fascinating story of modern day politics of mathematical education.The book was a bestseller in Israel, and has been translated into many languages. The extraordinary combination of mathematical and didactic insights makes it an essential guide for parents and teachers alike.
What does mathematics have to do with poetry? Seemingly, nothing. Mathematics deals with abstractions while poetry with emotions. And yet, the two share something essential: Beauty. “Euclid alone has looked on beauty bare,” says the title of a poem by Edna St. Vincent Millay.A winner of the CHOICE Outstanding Academic Title 2015, “Mathematics, Poetry and Beauty” tries to solve the secret of the similarity between the two domains. It tries to explain how a mathematical argument and a poem can move us in the same way. Mathematical and poetic techniques are compared, with the aim of showing how they evoke the same sense of beauty.The reader may find that, as Bertrand Russell said, “Mathematics, rightly viewed, possesses not only truth, but supreme beauty — a beauty hold and austere, like that of sculpture … sublimely pure, and capable of a stern perfection such as only the greatest art can show.”
Why is 2 times 3 equal to 3 times 2? One may think this is an axiom, but it has a proof, and a beautiful one at that. Elementary mathematics is as deep and as beautiful as higher mathematics. It includes some of the most important mathematical discoveries ever, for example the concept of the number, and the place-value method of representing numbers. We are so accustomed to this method, that we forget how clever and beautiful it is — resulting in its incredible efficacy.All this was a surprise for the author, a university professor of mathematics, when he went to teach in elementary school. He realized that good teaching of elementary mathematics requires understanding its fine points and conveying their beauty to the students. Sensing the beauty and understanding go hand in hand.The book outlines the material from kindergarten to grade 6 (with an excursion into algebra as well). It also discusses teaching principles, and their close relatives — thinking principles. Teachers and parents who imbue these principles are likely to convey the love of mathematics to the child.
Circularity' is the story of a Janus-faced conceptual structure, that on the one hand led to deep scientific discoveries, and on the other hand is used to trick the mind into believing the impossible. Alongside mathematical revolutions that eventually led to the invention of the computer, the book describes ancient paradoxes that arise from circular thinking. Another aspect of circularity, its ability to entertain, leads to a surprising insight on the time old question 'What is humor'. The book presents the ubiquity of circularity in many fields, and its power to confuse and to instruct.See Press Release: Vicious circles -- confusing, instructive, amusing?
The book goes through middle school mathematics and techniques and methods of its teaching. It is meant to aid parents who wish to be involved in the mathematical education of their children, as well as teachers who wish to learn principles of mathematics and of its teaching.
Preliminary Material -- Introduction -- Pottery Period 1: Traces of The Earliest Iron age Occupation -- Pottery Period 2: Evidence for a Distinct Historical Period? -- Pottery Period 3: “Filling The Gap”--Material Remains From the House of Omri and the Reign of Jehu -- Conclusions -- Excursus I: A Cistern Deposit Assigned to Pottery Period 1 at Samaria -- Excursus II: Comparative Stratigraphy and Loci: Establishing a Ceramic Control Group -- Appendices -- Bibliography -- General Index.
In this study, Tappy completes the study of the Iron Age strata at Samaria that began with the first volume of this work. Tappy's goal is to provide a thorough-going analysis of prior archaeologists' work at this important north Israelite site
This book is a tribute to Paul Erd\H{o}s, the wandering mathematician once described as the "prince of problem solvers and the absolute monarch of problem posers." It examines -- within the context of his unique personality and lifestyle -- the legacy of open problems he left to the world after his death in 1996. Unwilling to succumb to the temptat
This book is a tribute to Paul Erdos, the wandering mathematician once described as the "prince of problem solvers and the absolute monarch of problem posers." It examines the legacy of open problems he left to the world after his death in 1996.
This book contains true stories and documentation of how our family became endangered refugees in WWII Europe. Some family-members escaped legally to the States. A few others 'illegally immigrated' into Mandatory Palestine. Many survived in Hungary until late 1944, and hoped to travel to Palestine. Instead, most were murdered in Nazi extermination camps in Poland. These stories are illustrated with annotated archival material collected by Greta (nee Schwartz) Reisman including photographs, government-issued identification and travel documents, hand-written notes, newspaper clippings, and Greta's autobiographical essays. The Schwarz children were separated from their parents for over a year, and escaped to the States in late May, 1940.
A visual introduction to Microsoft's innovative new operating system, Windows Vista, includes coverage of such topics as Aero Glass design, security features for protecting the PC, instant searching, Windows Mail, parental control, Media Player 11, and Internet Explorer 7.
A beautifully detailed exploration of flora and fauna. Author Ron Larson offers a natural history of a Great Basin landscape that focuses on the northern region including Lake Abert and Abert Rim, and the adjacent area in southcentral Oregon. Although the jewel of this landscape is a lake, the real story is the many plants and animals—from the very primitive, reddish, bacteria-like archaea that thrive only in its high-salinity waters to the Golden Eagles and ravens that soar above the desert. The untold species in and around the lake are part of an ecosystem shaped by ageless processes from massive lava flows, repeated drought, and blinding snowstorms. It is an environment rich with biotic and physical interconnections going back millions of years. The Great Basin, and in particular the Lake Abert region, is special and needs our attention to ensure it remains that way. We must recognize the importance of water for Great Basin ecosystems and the need to manage it better, and we must acknowledge how rich the Great Basin is in natural history. Salt lakes, wherever they occur, are valuable and provide critically important habitat for migratory water birds, which are unfortunately under threat from upstream water diversions and climate change. Larson’s book will help people understand that the Great Basin is unique and that wise stewardship is necessary to keep it unspoiled. The book is an essential reference source, drawing together a wide range of materials that will appeal to general readers and researchers alike.
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