Mathematical Byways in Ayling, Beeling, and Ceiling PDF Download
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Author: Hugh ApSimon Publisher: Oxford University Press, USA ISBN: Category : Mathematics Languages : en Pages : 116
Book Description
Unique and highly original, Mathematical Byways is a work of recreational mathematics, a collection of ingenious problems, their even more ingenious solutions, and extensions of the problems--left unsolved here--to further stretch the mind of the reader. The problems are set within the framework of three villages--Ayling, Beeling, and Ceiling--their inhabitants, and the relationships (spacial and social) between them. The problems can be solved with little formal mathematical knowledge, although most require considerable thought and mental dexterity, and solutions are all clearly expounded in non-technical language. Stimulating and unusual, this book proves what Hugh ApSimon has known all along: mathematics can be fun!
Author: Hugh ApSimon Publisher: Oxford University Press, USA ISBN: Category : Mathematics Languages : en Pages : 116
Book Description
Unique and highly original, Mathematical Byways is a work of recreational mathematics, a collection of ingenious problems, their even more ingenious solutions, and extensions of the problems--left unsolved here--to further stretch the mind of the reader. The problems are set within the framework of three villages--Ayling, Beeling, and Ceiling--their inhabitants, and the relationships (spacial and social) between them. The problems can be solved with little formal mathematical knowledge, although most require considerable thought and mental dexterity, and solutions are all clearly expounded in non-technical language. Stimulating and unusual, this book proves what Hugh ApSimon has known all along: mathematics can be fun!
Author: Hugh ApSimon Publisher: Oxford University Press, USA ISBN: Category : Mathematics Languages : en Pages : 152
Book Description
This volume continues the popular series of mathematical problems and puzzles first introduced in Mathematical Byways (Oxford 1985). Set in the fictional villages of Ayling, Beeling, and Ceiling, the problems derive from the amusing adventures of the inhabitants. The book includes solutions and suggestions for further problem-solving. It requires little previous formal work and is intended to encourage the mastery of technique while demonstrating that mathematics can be fun.
Author: Richard K. Guy Publisher: American Mathematical Soc. ISBN: 1470457318 Category : Mathematics Languages : en Pages : 367
Book Description
In August of 1986, a special conference on recreational mathematics was held at the University of Calgary to celebrate the founding of the Strens Collection. Leading practitioners of recreational mathematics from around the world gathered in Calgary to share with each other the joy and spirit of play that is to be found in recreational mathematics. It would be difficult to find a better collection of wonderful articles on recreational mathematics by a more distinguished group of authors. If you are interested in tessellations, Escher, tilings, Rubik's cube, pentominoes, games, puzzles, the arbelos, Henry Dudeney, or change ringing, then this book is for you.
Author: Alfred S. Posamentier Publisher: Corwin Press ISBN: 1452295573 Category : Education Languages : en Pages : 281
Book Description
"The authors have provided a unique, strategy-focused resource supported by a wealth of engaging examples that mathematics teachers can readily use to help students develop a more purposeful, systematic, and successful approach to problem solving." —Howard W. Smith, Superintendent Public Schools of the Tarrytowns, Sleepy Hollow, NY "Helps both new and veteran teachers better understand the nature of problem solving as a critical mathematics process. The authors present in very simple terms the strategies that are the backbone of mathematics instruction. This indispensable material is useful at all levels, from basic stages to advanced student work to the development of top problem solvers." —Daniel Jaye, Principal Bergen County Academies, Hackensack, NJ Help students become skilled and confident problem solvers! Demonstrating there is always more than one approach to solving a problem, well-known authors and educators Alfred S. Posamentier and Stephen Krulik present ten basic strategies that are effective for finding solutions to a wide range of mathematics problems. These tried-and-true methods—including working backwards, finding a pattern, adopting a different point of view, solving a simpler analogous problem, and making a visual representation—make problem solving easier, neater, and more understandable for students as well as teachers. Providing numerous sample problems that illustrate how mathematics teachers and specialists can incorporate these techniques into their mathematics curriculum, this updated edition also includes: A variety of new problems that show how to use the strategies References to current NCTM standards Solutions to the problems in each chapter Extensive discussions of the empowering strategies used to solve sample problems The second edition of Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6–12 helps teachers develop students′ creative problem-solving skills for success in and out of school.
Author: David Clemson Publisher: Routledge ISBN: 1134864531 Category : Education Languages : en Pages : 280
Book Description
The Clemsons' clear and readable book takes the reader from debates about how children learn and what children know and can do when they start school; through to a discussion of how mathematics can be managed, assessed and evaluated in the school and classroom. Linking these two parts of the book is a section on the subject of mathematics itself, from which the non-specialist reader can gain a view of what mathematics is, what needs to be thought about in planning and offering a curriculum and the special dilemmas faced in teaching and learning mathematics as a subject. A bank of case studies offers an opportunity to see mathematics in action in a variety of classrooms.
Author: Alfred S Posamentier Publisher: World Scientific ISBN: 9811211434 Category : Mathematics Languages : en Pages : 1042
Book Description
The primary aim of this book is to provide teachers of mathematics with all the tools they would need to conduct most effective mathematics instruction. The book guides teachers through the all-important planning process, which includes short and long-term planning as well as constructing most effective lessons, with an emphasis on motivation, classroom management, emphasizing problem-solving techniques, assessment, enriching instruction for students at all levels, and introducing relevant extracurricular mathematics activities. Technology applications are woven throughout the text.A unique feature of this book is the second half, which provides 125 highly motivating enrichment units for all levels of secondary school mathematics. Many years of proven success makes this book essential for both pre-service and in-service mathematics teachers.
Author: David Darling Publisher: Turner Publishing Company ISBN: 0470307889 Category : Mathematics Languages : en Pages : 692
Book Description
Praise for David Darling The Universal Book of Astronomy "A first-rate resource for readers and students of popular astronomy and general science. . . . Highly recommended." -Library Journal "A comprehensive survey and . . . a rare treat." -Focus The Complete Book of Spaceflight "Darling's content and presentation will have any reader moving from entry to entry." -The Observatory magazine Life Everywhere "This remarkable book exemplifies the best of today's popular science writing: it is lucid, informative, and thoroughly enjoyable." -Science Books & Films "An enthralling introduction to the new science of astrobiology." -Lynn Margulis Equations of Eternity "One of the clearest and most eloquent expositions of the quantum conundrum and its philosophical and metaphysical implications that I have read recently." -The New York Times Deep Time "A wonderful book. The perfect overview of the universe." -Larry Niven
Author: Alfred S. Posamentier Publisher: ASCD ISBN: 1416605967 Category : Education Languages : en Pages : 242
Book Description
Every year new secondary mathematics teachers take up positions in middle and high schools. The luckiest novices receive assistance from a coach or mentor: a master mathematics teacher who makes constructive comments, models effective approaches, and illuminates other practical aspects of teaching secondary math. But many new teachers don't have this advantage and must further their development on their own. If you are one of these teachers, this is the book you need. In these pages, veteran mathematics educators Alfred S. Posamentier, Daniel Jaye, and Stephen Krulik present a treasure chest of ideas to guide new secondary math teachers through the challenging first few months and also provide more experienced teachers with interesting alternatives to familiar methods. The topics covered include * The most effective instructional practices * The best uses of the textbook * Designing successful lessons * Creating homework that promotes learning * Incorporating challenge * Teaching reasoning and problem solving * Strategies for assessment and grading * Specific innovative ideas for teaching key concepts * Options for extracurricular activities * Long-term professional enrichment and growth. It's during the first few years of a teacher's experience that he or she develops the habits, methods, procedures, and techniques that tend to define a career. Exemplary Practices for Secondary Math Teachers provides both a foundation for excellence and a touchstone for years to come. Note: This product listing is for the Adobe Acrobat (PDF) version of the book.
Author: Bharath Sriraman Publisher: IAP ISBN: 160752838X Category : Education Languages : en Pages : 312
Book Description
Our innovative spirit and creativity lies beneath the comforts and security of today's technologically evolved society. Scientists, inventors, investors, artists and leaders play a vital role in the advancement and transmission of knowledge. Mathematics, in particular, plays a central role in numerous professions and has historically served as the gatekeeper to numerous other areas of study, particularly the hard sciences, engineering and business. Mathematics is also a major component in standardized tests in the U.S., and in university entrance exams in numerous parts of world. Creativity and imagination is often evident when young children begin to develop numeric and spatial concepts, and explore mathematical tasks that capture their interest. Creativity is also an essential ingredient in the work of professional mathematicians. Yet, the bulk of mathematical thinking encouraged in the institutionalized setting of schools is focused on rote learning, memorization, and the mastery of numerous skills to solve specific problems prescribed by the curricula or aimed at standardized testing. Given the lack of research based perspectives on talent development in mathematics education, this monograph is specifically focused on contributions towards the constructs of creativity and giftedness in mathematics. This monograph presents new perspectives for talent development in the mathematics classroom and gives insights into the psychology of creativity and giftedness. The book is aimed at classroom teachers, coordinators of gifted programs, math contest coaches, graduate students and researchers interested in creativity, giftedness, and talent development in mathematics.