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Author: George Szpiro
Publisher: American Mathematical Soc.
ISBN: 082184928X
Category : Mathematics
Languages : en
Pages : 250
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Book Description
Describes in layman's terms mathematical problems that have recently been solved (or thought to have been solved), research that has been published in scientific journals, and mathematical observations about contemporary life. Anecdotal stories about the lives of mathematicians and stories about famous old problems are interspersed among other vignettes.
Author: George Szpiro
Publisher: American Mathematical Soc.
ISBN: 082184928X
Category : Mathematics
Languages : en
Pages : 250
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Book Description
Describes in layman's terms mathematical problems that have recently been solved (or thought to have been solved), research that has been published in scientific journals, and mathematical observations about contemporary life. Anecdotal stories about the lives of mathematicians and stories about famous old problems are interspersed among other vignettes.
Author: Charles-Ange Laisant
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 176
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Book Description
Author: Sinan Kanbir
Publisher: Springer
ISBN: 3319592041
Category : Education
Languages : en
Pages : 339
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Book Description
In this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and Nerida Ellerton, tackle a persistent, and universal, problem in school mathematics—why do so many middle-school and secondary-school students find it difficult to learn algebra well? What makes the book important are the unique features which comprise the design-research approach that the authors adopted in seeking a solution to the problem. The first unique feature is that the authors offer an overview of the history of school algebra. Despite the fact that algebra has been an important component of secondary-school mathematics for more than three centuries, there has never been a comprehensive historical analysis of factors influencing the teaching and learning of that component. The authors identify, through historical analysis, six purposes of school algebra: (a) algebra as a body of knowledge essential to higher mathematical and scientific studies, (b) algebra as generalized arithmetic, (c) algebra as a prerequisite for entry to higher studies, (d) algebra as offering a language and set of procedures for modeling real-life problems, (e) algebra as an aid to describing structural properties in elementary mathematics, and (f) algebra as a study of variables. They also raise the question whether school algebra represents a unidimensional trait. Kanbir, Clements and Ellerton offer an unusual hybrid theoretical framework for their intervention study (by which seventh-grade students significantly improved their elementary algebra knowledge and skills). Their theoretical frame combined Charles Sanders Peirce’s triadic signifier-interpretant-signified theory, which is in the realm of semiotics, with Johann Friedrich Herbart’s theory of apperception, and Ken Clements’ and Gina Del Campo’s theory relating to the need to expand modes of communications in mathematics classrooms so that students engage in receptive and expressive modes. Practicing classroom teachers formed part of the research team. This book appears in Springer’s series on the “History of Mathematics Education.” Not only does it include an important analysis of the history of school algebra, but it also adopts a theoretical frame which relies more on “theories from the past,” than on contemporary theories in the field of mathematics education. The results of the well-designed classroom intervention are sufficiently impressive that the study might havecreated and illuminated a pathway for future researchers to take.
Author: Fernando Zalamea
Publisher: MIT Press
ISBN: 1913029328
Category : Philosophy
Languages : en
Pages : 394
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Book Description
A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest. A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics. The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the specificity of modern (1830–1950) and contemporary (1950 to the present) mathematics, and reviews the failure of mainstream philosophy of mathematics to address this specificity. Building on the work of the few exceptional thinkers to have engaged with the “real mathematics” of their era (including Lautman, Deleuze, Badiou, de Lorenzo and Châtelet), Zalamea challenges philosophy's self-imposed ignorance of the “making of mathematics.” In the second part, thirteen detailed case studies examine the greatest creators in the field, mapping the central advances accomplished in mathematics over the last half-century, exploring in vivid detail the characteristic creative gestures of modern master Grothendieck and contemporary creators including Lawvere, Shelah, Connes, and Freyd. Drawing on these concrete examples, and oriented by a unique philosophical constellation (Peirce, Lautman, Merleau-Ponty), in the third part Zalamea sets out the program for a sophisticated new epistemology, one that will avail itself of the powerful conceptual instruments forged by the mathematical mind, but which have until now remained largely neglected by philosophers.
Author: Yew-Jin Lee
Publisher: Springer Nature
ISBN: 9811699828
Category : Education
Languages : en
Pages : 434
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Book Description
This edited book is a comprehensive resource for understanding the history as well as the current status of educational practices in Singapore. It is a one-stop reference guide to education and educational issues/concerns here. There are three sections: Part 1 provides a sectorial overview of how education has been organized in this country such as preschool, special needs, primary and secondary, and adult education divisions. In Part 2, contributors critically delve into issues and policies that are pertinent to understanding education here such as underachievement, leadership, language education, assessment, and meritocracy to question what Part 1 might have taken for granted. Part 3 contains the largest number of contributors because it offers a scholarly examination into specific subject histories. This section stands out because of the comparative rarity of its subject matter (history of Physical Education, Art, Music, Geography Education, etc.) in Singapore.
Author: Phyllis J. Perry
Publisher: Bloomsbury Publishing USA
ISBN: 0313079722
Category : Education
Languages : en
Pages : 144
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Book Description
Now it's easy to locate the materials you need to implement the new NCTM math standards. Organized by such math topics as problem solving, estimation, number sense and numeration, and geometry and spatial relationships, this book shows users where to find manipulatives and materials, such as attribute blocks, pattern blocks, clocks, scales, multilink cubes and prisms, calculators, and sorting toys. It also lists specialized math books, computer software, and a host of other learning materials (e.g., activity cards, puzzles, posters, games, reproducibles). The author briefly describes each product, cites grade level when given, and explains possible applications. Products of exceptional quality and value are highlighted, and the addresses of publishers and suppliers are given. A real time-saver! Grades K-4.
Author: A. Zee
Publisher: Princeton University Press
ISBN: 0691207739
Category : Science
Languages : en
Pages : 448
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Book Description
The essential primer for physics students who want to build their physical intuition Presented in A. Zee's incomparably engaging style, this book introduces physics students to the practice of using physical reasoning and judicious guesses to get at the crux of a problem. An essential primer for advanced undergraduates and beyond, Fly by Night Physics reveals the simple and effective techniques that researchers use to think through a problem to its solution—or failing that, to smartly guess the answer—before starting any calculations. In typical physics classrooms, students seek to master an enormous toolbox of mathematical methods, which are necessary to do the precise calculations used in physics. Consequently, students often develop the unfortunate impression that physics consists of well-defined problems that can be solved with tightly reasoned and logical steps. Idealized textbook exercises and homework problems reinforce this erroneous impression. As a result, even the best students can find themselves completely unprepared for the challenges of doing actual research. In reality, physics is replete with back of the envelope estimates, order of magnitude guesses, and fly by night leaps of logic. Including exciting problems related to cutting-edge topics in physics, from Hawking radiation to gravity waves, this indispensable book will help students more deeply understand the equations they have learned and develop the confidence to start flying by night to arrive at the answers they seek. For instructors, a solutions manual is available upon request.
Author: Khee-meng Koh
Publisher: World Scientific Publishing Company
ISBN: 9814641618
Category : Mathematics
Languages : en
Pages : 496
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Book Description
This book is an expansion of our first book Introduction to Graph Theory: H3 Mathematics. While the first book was intended for capable high school students and university freshmen, this version covers substantially more ground and is intended as a reference and textbook for undergraduate studies in Graph Theory. In fact, the topics cover a few modules in the Graph Theory taught at the National University of Singapore. The reader will be challenged and inspired by the material in the book, especially the variety and quality of the problems, which are derived from the authors' years of teaching and research experience.
Author: Berinderjeet Kaur
Publisher: World Scientific
ISBN: 9814405418
Category : Business & Economics
Languages : en
Pages : 335
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Book Description
This fourth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore entitled Reasoning, Communication and Connections in Mathematics is unique in that it focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance reasoning, communication and connections in mathematics classrooms. Several renowned international researchers in the field have published their work in this volume. The fifteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three major themes: mathematical tasks, classroom discourse, and connectivity within and beyond mathematics, shape the ideas underpinning reasoning, communication and connections in these chapters. The book makes a significant contribution towards mathematical processes essential for learners of mathematics. It is a good resource for mathematics educators and research students.
Author: Yan Kow Cheong
Publisher: MathPlus Publishing
ISBN: 9810973896
Category : Mathematics
Languages : en
Pages : 209
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Book Description
Are you bored or unchallenged by drill-and-kill geometry questions in your textbooks and workbooks? Are you half-prepared for your coming math contests and competitions? Some benefits of Geometrical Quickies & Trickies are: * Over 200 non-routine geometry questions to separate the nerd of mathletes from the herd of drill-and-kill specialists; * Trick and tricky questions to meet the mathematical needs and wants of students- and teachers-problem solvers; * Twenty enrichment geometry units to promote an appreciation for recreational mathematics; * Hints and solutions, and a reference list for more practice on quickies and tricks. Geometrical Quickies & Trickies is suitable for grades 6-9 problem solvers and mathletes, and for teachers and tutors who desire to challenge (or torture) their students mathematically. Contents 1. What is a Circle? 2. Three Famous (or Notorious) Geometrical Problems 3. Non-Euclidean Geometry for Goondus 4. How Many Regions? 5. That Holy Little Geometry Book 6. Fun with Areas and Perimeters 7. Always a Parallelogram! 8. The Malfatti's Problem 9. The Beauty of Pi 10. The Zero Option 11. The Golden Ratio by Paper Folding 12. The Ubiquity of Phi 13. Matchstick Mathematics 14. The Rolling Circle Question 15. Two Useful Circle Properties 16. Proving the Obvious 17. Sanguku—Japanese Temple Geometry 18. Applications of Pythagorean Theorem 19. Visualizing Infinity 20. Geometrical Idiosyncrasies Answers/Hints/Solutions Bibliography & References
