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Making Problems Creating Solutions

Author: Jill Ostrow
ISBN: 9781571100412
Size: 62.85 MB
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In Making Problems, Creating Solutions, Jill Ostrow rethinks the teaching of mathematics and shows teachers how to build challenging learning environments in elementary classrooms. She introduces the notion of workshop learning in mathematics and demonstrates ways in which teachers can readily integrate math into all curricular areas. Traditional mathematics instruction consists of statements of rules followed by examples which define those rules—the "tell, show, and do" model. Under this model, math concepts are fed to students in a sequence determined by the teacher rather than the intellectual readiness of the child. Alternatively, Jill takes a process approach to mathematics acquisition that is based upon understanding, challenge, independence, confidence, and choice. Such an approach makes it easier for kids to apply their knowledge to new problems and to other areas of their lives. Making Problems, Creating Solutions: gives educators a chance to see the NCTM Standards, as well as many other mathematics curricula, put into authentic practice; provides examples of solutions and thinking strategies of students ages 6 to 12; describes a new and innovative approach to teaching calendar; contains a large section on assessment; features an extensive appendix of problems, with each problem annotated to show which standard is being addressed. This book shows teachers how to encourage kids to create problem-solving strategies and then to share and discuss those strategies with peers. It is an appropriate text for both preservice and inservice programs, as well as math inservice workshops. In Making Problems, Creating Solutions, Jill places meaning and purpose at the heart of her mathematics program and in turn gives teachers ideas and techniques that will inspire critical thinking in young mathematicians.

The Book Of Perfectly Perilous Math

Author: Sean Connolly
Publisher: Workman Publishing
ISBN: 1523502371
Size: 38.30 MB
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Math rocks! At least it does in the gifted hands of Sean Connolly, who blends middle school math with fantasy to create an exciting adventure in problem-solving. These word problems are perilous, do-or-die scenarios of blood-sucking vampires (How many months would it take a single vampire to completely take over a town of 500,000 people?), or a rowboat of 5 shipwrecked sailors with a single barrel of freshwater (How much can they drink, and for how long, before they go mad from thirst???). Each problem requires readers to dig deep into the tools they’re learning in school to figure out how to survive. Kids will love solving these problems. Sean Connolly knows how to make tough subjects exciting and he brings that same intuitive understanding of what inspires and challenges kids’ curiosity to the 24 problems in The Book of Perfectly Perilous Math. These problems are as fun to read as they are challenging to solve. They test readers on fractions, algebra, geometry, probability, expressions and equations, and more. Use geometry to fill in for the ship’s navigator and make it safely to the New World. Escape an evil Duke’s executioner by picking the right door—probability will save your neck.

Teaching The Best Practice Way

Author: Harvey Daniels
Publisher: Stenhouse Publishers
ISBN: 1571104054
Size: 66.44 MB
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"In Teaching the Best Practice Way, Harvey Daniels and Marilyn Bizar present seven basic teaching structures that make classrooms more active, experiential, collaborative, democratic, and cognitive, while simultaneously meeting best practice standards across subject areas and throughout the grades. Each chapter begins with an essay outlining one key method, providing its historical background and research results, and then describing the structure's vital features. Next, several teachers representing different grade levels and school communities explain how they adopted the basic model, adapted it to their students' needs, and made it their own."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved

The Number Devil

Author: Hans Magnus Enzensberger
ISBN: 9781862078284
Size: 36.26 MB
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Twelve-year-old Robert hates his maths teacher. He sets his class boring problems and won't let them use their calculators. Then in his dreams Robert meets the Number Devil who brings the subject magically to life, illustrating with wit and charm a world in which numbers can amaze and fascinate, where maths is nothing like the dreary, difficult process that so many of us dread. The Number Devil knows how to make maths devilishly simple.

Competitions For Young Mathematicians

Author: Alexander Soifer
Publisher: Springer
ISBN: 3319565850
Size: 46.98 MB
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This book gathers the best presentations from the Topic Study Group 30: Mathematics Competitions at ICME-13 in Hamburg, and some from related groups, focusing on the field of working with gifted students. Each of the chapters includes not only original ideas, but also original mathematical problems and their solutions. The book is a valuable resource for researchers in mathematics education, secondary and college mathematics teachers around the globe as well as their gifted students.

Wonderful Solutions And Habitual Domains For Challenging Problems In Changeable Spaces

Author: Moussa Larbani
Publisher: Springer
ISBN: 9811019819
Size: 51.54 MB
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This book introduces a new paradigm called ‘Optimization in Changeable Spaces’ (OCS) as a useful tool for decision making and problem solving. It illustrates how OCS incorporates, searches, and constructively restructures the parameters, tangible and intangible, involved in the process of decision making. The book elaborates on OCS problems that can be modeled and solved effectively by using the concepts of competence set analysis, Habitual Domain (HD) and the mental operators called the 7-8-9 principles of deep knowledge of HD. In addition, new concepts of covering and discovering processes are proposed and formulated as mathematical tools to solve OCS problems. The book also includes reformulations of a number of illustrative real-life challenging problems that cannot be solved by traditional optimization techniques into OCS problems, and details how they can be addressed. Beyond that, it also includes perspectives related to innovation dynamics, management, artificial intelligence, artificial and e-economics, scientific discovery and knowledge extraction. This book will be of interest to managers of businesses and institutions, policy makers, and educators and students of decision making and behavior in DBA and/or MBA.

Usa And International Mathematical Olympiads 2005

Author: Zuming Feng
Publisher: MAA
ISBN: 9780883858233
Size: 35.68 MB
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The Mathematical Olypiad books, covering the USA Mathematical Olypiad (USAMO) and the International Mathematical Olypiad (IMO), have been published annually by the MAA American Mathematics Competitions since 1976. This is the sixth volume in that series published by the MAA in its Problem Book series. The IMO is the work mathematics championship for high school students. It takes place annually in a different country each year. The aims of the IMO are (1) to discover, encourage and challenge mathematically gifted young people in all countries; (2) to foster friendships between mathematicians around the world; (3) to create an opportunity for the exchange of information on school syllabi and practice throughout the world. The USAMO and the Team Selection Test (TST) are the last two stages of the selection process for the United states of America IMO team. The preceding examinations are the AMC 10 or AMC12 and the American Invitational Mathematics Examination (AIME). Participation in the AIME, USAMO, and the TST is by invitation only, based on performance in the preceding exams of the sequence. Through the AMC contests and the IMO, young gifted mathematicians are identified and recognized while they are still in secondary school. Participation in the competitions provides them with the chance to measure themselves against other exceptional students from all over the world. This work was prepared by Zuming Feng, Melanie Matchett Wood, the Leader and Deputy Leader of the 2004 USA IMO team, and by Cecil Rousseau, the chair of the USAMO Committee. In addition to presenting their own carefully written solutions to the problems, Zuming and Melanie provide remarkable solutions developed by the examination committees, contestants, and experts, during or after the contests. They also provide a detailed report of the 2000 2004 USAMO/IMO results and a comprehensive guide to other material that emphasize advances problem-solving. This collection of excellent problems and beautiful solutions is a valuable companion for students who wish to develop their interest in mathematics outside the school curriculum and to deepen their knowledge of mathematics.

Extending The Challenge In Mathematics

Author: Linda Jensen Sheffield
Publisher: Corwin Press
ISBN: 148336609X
Size: 25.62 MB
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This guide provides the practical tips and tools educators need to help their mathematically promising students develop their potential to the fullest.

Making And Tinkering With Stem

Author: Cate Heroman
ISBN: 9781938113284
Size: 14.27 MB
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"Teaching and learning STEM subjects (science, technology, engineering, and mathematics) is more accessible than ever before! Children will be inspired, delighted, and challenged as they use everyday materials and STEM concepts to design and build solutions to problems faced by characters in their favorite books"--Page iv of cover.