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Making Problems Creating Solutions

Author: Jill Ostrow
Publisher:
ISBN: 9781571100412
Size: 54.67 MB
Format: PDF, Mobi
View: 4031
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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.

Making Problems Creating Solutions

Author: Jill Ostrow
Publisher: Stenhouse Pub
ISBN: 9781571100412
Size: 79.62 MB
Format: PDF, ePub, Mobi
View: 2609
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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: 39.44 MB
Format: PDF
View: 2273
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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: 44.36 MB
Format: PDF
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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 Stanford Mathematics Problem Book

Author: George Polya
Publisher: Courier Corporation
ISBN: 048631832X
Size: 44.16 MB
Format: PDF, ePub, Mobi
View: 4151
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Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.

What To Solve

Author: Judita Cofman
Publisher: Oxford University Press on Demand
ISBN: 9780198532941
Size: 30.21 MB
Format: PDF, ePub, Mobi
View: 4498
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Solving mathematical problems is a favourite pastime of many people - this book contains a wide variety of problems which will stimulate interest in mathematical ideas and methods in teenagers and students.

Competitions For Young Mathematicians

Author: Alexander Soifer
Publisher: Springer
ISBN: 3319565850
Size: 62.84 MB
Format: PDF, Mobi
View: 1532
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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: 18.55 MB
Format: PDF, ePub
View: 476
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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.

Extending The Challenge In Mathematics

Author: Linda Jensen Sheffield
Publisher: Corwin Press
ISBN: 148336609X
Size: 69.98 MB
Format: PDF, Kindle
View: 1630
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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.