An Introduction to Problem Solving Based on the First 32 British Mathematical Olympiads 1965-1996

Author: A. Gardiner

Publisher: Oxford Science Publications

ISBN:

Category: Mathematics

Page: 229

View: 319

The book contains problems from the first 32 British Mathematical Olympiad (BMO) papers 1965-96 and gives hints and outline solutions to each problem from 1975 onwards. An overview is given of the basic mathematical skills needed, and a list of books for further reading is provided. Working through the exercises provides a valuable source of extension and enrichment for all pupils and adults interested in mathematics.

An Introduction to Problem Solving Based on the First 32 British Mathematical Olympiads 1965-1996

Author: Anthony Gardiner

Publisher:

ISBN:

Category: British Mathematical Olympiad

Page: 229

View: 792

Author: Steven Klee

Publisher: American Mathematical Soc.

ISBN:

Category: Education

Page: 243

View: 172

Math Hour Olympiads is a non-standard method of training middle- and high-school students interested in mathematics where students spend several hours thinking about a few difficult and unusual problems. When a student solves a problem, the solution is presented orally to a pair of friendly judges. Discussing the solutions with the judges creates a personal and engaging mathematical experience for the students and introduces them to the true nature of mathematical proof and problem solving. This book recounts the authors' experiences from the first ten years of running a Math Hour Olympiad at the University of Washington in Seattle. The major part of the book is devoted to problem sets and detailed solutions, complemented by a practical guide for anyone who would like to organize an oral olympiad for students in their community. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Author:

Publisher: Grasindo

ISBN:

Category:

Page:

View: 533

The Ultimate Handbook for Winning Math Competitions in Elementary and Middle School

Author: Jesse Doan

Publisher: Createspace Independent Publishing Platform

ISBN:

Category:

Page: 260

View: 302

For the Rising Math Olympians contains over 500 examples and brand-new problems in Number Theory, Algebra, Counting & Probability, and Geometry that are frequently tested in math competitions. Each chapter contains concepts with detailed explanations, examples with step-by-step solutions, and review problems to reinforce the students' understanding. This book is written for beginning mathletes who are interested in learning advanced problem solving and critical thinking skills in preparation for elementary and middle school math competitions. For the past three years, Jesse has served as an assistant coach for his former middle school math team and the curriculum director for the Maui Math Circle. In 2016, three of his students finished in the top 10 in the Hawaii State Mathcounts Competition. This book consists of the top 20 math concepts that he used to train his students.

Author: Alan J. Bishop

Publisher: Springer Science & Business Media

ISBN:

Category: Education

Page: 1358

View: 852

This Handbook presents an overview and analysis of the international `state-of-the-field' of mathematics education at the end of the 20th century. The more than 150 authors, editors and chapter reviewers involved in its production come from a range of countries and cultures. They have created a book of 36 original chapters in four sections, surveying the variety of practices, and the range of disciplinary interconnections, which characterise the field today, and providing perspectives on the study of mathematics education for the 21st century. It is first and foremost a reference work, and will appeal to anyone seeking up-to-date knowledge about the main developments in mathematics education. These will include teachers, student teachers and student researchers starting out on a serious study of the subject, as well as experienced researchers, teacher educators, educational policy-makers and curriculum developers who need to be aware of the latest areas of knowledge development.

Level 4

Author: Terry Chew

Publisher:

ISBN:

Category: Mathematics

Page: 32

View: 232

How to Use the Whole World As Your Child's Classroom

Author: Mary Griffith

Publisher: Crown

ISBN:

Category: Education

Page: 240

View: 623

To Unschoolers, Learning Is As Natural As Breathing Did you know that a growing percentage of home schoolers are becoming unschoolers? The unschooling movement is founded on the principle that children learn best when they pursue their own natural curiosities and interests. Without bells, schedules, and rules about what to do and when, the knowledge they gain through mindful living and exploration is absorbed more easily and enthusiastically. Learning is a natural, inborn impulse, and the world is rich with lessons to be learned and puzzles to be solved. Successful unschooling parents know how to stimulate and direct their children's learning impulse. Once you read this book, so will you!

Author: Nairi Sedrakyan

Publisher:

ISBN:

Category:

Page: 281

View: 253

This book is intended as a teacher's manual and a self-study handbook for high-school or college students, and mathematical competitors. It consists mainly of problems created by the authors, with author-prepared-solutions, which were used in different national and international Mathematical Olympiads from 1984 to 2019. The book is arranged by topic and difficulty level. The book gives a broad view of mathematics and goes well beyond the elementary mathematics by providing deeper treatments of the following topics: Geometry and Trigonometry, Number theory, Algebra, Combinatorics and Calculus.

From the Laboratory to the Classroom

Author: Annemarie Fritz

Publisher: Springer

ISBN:

Category: Education

Page: 843

View: 343

This comprehensive volume provides teachers, researchers and education professionals with cutting edge knowledge developed in the last decades by the educational, behavioural and neurosciences, integrating cognitive, developmental and socioeconomic approaches to deal with the problems children face in learning mathematics. The neurocognitive mechanisms and the cognitive processes underlying acquisition of arithmetic abilities and their significance for education have been the subject of intense research in the last few decades, but the most part of this research has been conducted in non-applied settings and there's still a deep discrepancy between the level of scientific knowledge and its implementation into actual educational settings. Now it's time to bring the results from the laboratory to the classroom. Apart from bringing the theoretical discussions to educational settings, the volume presents a wide range of methods for early detection of children with risks in mathematics learning and strategies to develop effective interventions based on innovative cognitive test instruments. It also provides insights to translate research knowledge into public policies in order to address socioeconomic issues. And it does so from an international perspective, dedicating a whole section to the cultural diversity of mathematics learning difficulties in different parts of the world. All of this makes the International Handbook of Mathematical Learning Difficulties an essential tool for those involved in the daily struggle to prepare the future generations to succeed in the global knowledge society.

Author: Ellina Grigorieva

Publisher: Birkhäuser

ISBN:

Category: Mathematics

Page: 391

View: 591

Through its engaging and unusual problems, this book demonstrates methods of reasoning necessary for learning number theory. Every technique is followed by problems (as well as detailed hints and solutions) that apply theorems immediately, so readers can solve a variety of abstract problems in a systematic, creative manner. New solutions often require the ingenious use of earlier mathematical concepts - not the memorization of formulas and facts. Questions also often permit experimental numeric validation or visual interpretation to encourage the combined use of deductive and intuitive thinking. The first chapter starts with simple topics like even and odd numbers, divisibility, and prime numbers and helps the reader to solve quite complex, Olympiad-type problems right away. It also covers properties of the perfect, amicable, and figurate numbers and introduces congruence. The next chapter begins with the Euclidean algorithm, explores the representations of integer numbers in different bases, and examines continued fractions, quadratic irrationalities, and the Lagrange Theorem. The last section of Chapter Two is an exploration of different methods of proofs. The third chapter is dedicated to solving Diophantine linear and nonlinear equations and includes different methods of solving Fermat's (Pell's) equations. It also covers Fermat's factorization techniques and methods of solving challenging problems involving exponent and factorials. Chapter Four reviews the Pythagorean triple and quadruple and emphasizes their connection with geometry, trigonometry, algebraic geometry, and stereographic projection. A special case of Waring's problem as a representation of a number by the sum of the squares or cubes of other numbers is covered, as well as quadratic residuals, Legendre and Jacobi symbols, and interesting word problems related to the properties of numbers. Appendices provide a historic overview of number theory and its main developments from the ancient cultures in Greece, Babylon, and Egypt to the modern day. Drawing from cases collected by an accomplished female mathematician, Methods in Solving Number Theory Problems is designed as a self-study guide or supplementary textbook for a one-semester course in introductory number theory. It can also be used to prepare for mathematical Olympiads. Elementary algebra, arithmetic and some calculus knowledge are the only prerequisites. Number theory gives precise proofs and theorems of an irreproachable rigor and sharpens analytical thinking, which makes this book perfect for anyone looking to build their mathematical confidence.

Author: Alfred S Posamentier

Publisher: World Scientific

ISBN:

Category: Mathematics

Page: 1044

View: 479

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.

Problems in Combinatorics, Arithmetic, and Geometry

Author: Jiri Herman

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 392

View: 402

This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.

Elementary Problems and Theorems in Algebra and Number Theory

Author: Jiri Herman

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 344

View: 356

A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are followed by carefully worked out examples of increasing difficulty, and by exercises which range from routine to rather more challenging problems. While it emphasizes some methods that are not usually covered in beginning university courses, the book nevertheless teaches techniques and skills which are useful beyond the specific topics covered here. With approximately 330 examples and 760 exercises.

Knowledge and Beliefs in Mathematics Teaching and Teaching Development

Author:

Publisher: BRILL

ISBN:

Category: Education

Page:

View: 386

Knowledge and Beliefs in Mathematics Teaching and Teaching Development addresses the "what" of mathematics teacher education, meaning knowledge for mathematics teaching and teaching development and consideration of associated beliefs.

Author: George Lenchner

Publisher: Glenwood Publications Incorporated

ISBN:

Category: Juvenile Fiction

Page: 280

View: 275

Author: Peter Higgins

Publisher: Oxford University Press

ISBN:

Category: Mathematics

Page: 229

View: 541

Mathematics for the Imagination provides an accessible and entertaining investigation into mathematical problems in the world around us. From world navigation, family trees, and calendars to patterns, tessellations, and number tricks, this informative and fun new book helps you to understand the maths behind real-life questions and rediscover your arithmetical mind. This is a follow-up to the popular Mathematics for the Curious, Peter Higgins's first investigation into real-life mathematical problems. A highly involving book which encourages the reader to enter into the spirit of mathematical exploration.

Author: W. John Morgan

Publisher: Edward Elgar Publishing

ISBN:

Category: Education

Page: 584

View: 142

The Handbook of Education in China provides both a comprehensive overview and an original interpretation of key aspects of education in the People's Republic of China. It has four parts: The Historical Background; The Contemporary Chinese System; Problems and Policies; The Special Administrative Regions: Macau and Hong Kong. The Handbook is an essential reference for those interested in Chinese education; as well as a comprehensive textbook that provides valuable supplementary material for those studying Chinese politics, economy, culture and society more generally.

Author: Vandana Saxena

Publisher: Pearson Education India

ISBN:

Category: Computer-assisted instruction

Page: 216

View: 355

Contemporary Trends in Education: A Handbook for Educators is an enriched resource for future teachers and teacher educators working with limited resources. It provides in-depth theoretical underpinnings and discusses the planning formats and implementation schemes extending to the real classroom and the field situations. The text aims to complement the teacher educators' experiences which would feed into the respective teacher training programmes, benefitting their students and gradually add strength to school education. It is based upon course specific enrichment material for pre-service as well as in service teacher training programmes for all levels of school education.

Author: Susan S. Klein

Publisher: Routledge

ISBN:

Category: Education

Page: 768

View: 554

First published in 1985, the Handbook for Achieving Gender Equity Through Education quickly established itself as the essential reference work concerning gender equity in education. This new, expanded edition provides a 20-year retrospective of the field, one that has the great advantage of documenting U.S. national data on the gains and losses in the efforts to advance gender equality through policies such as Title IX, the landmark federal law prohibiting sex discrimination in education, equity programs and research. Key features include: Expertise – Like its predecessor, over 200 expert authors and reviewers provide accurate, consensus, research-based information on the nature of gender equity challenges and what is needed to meet them at all levels of education. Content Area Focus – The analysis of gender equity within specific curriculum areas has been expanded from 6 to 10 chapters including mathematics, science, and engineering. Global/Diversity Focus – Global gender equity is addressed in a separate chapter as well as in numerous other chapters. The expanded section on gender equity strategies for diverse populations contains seven chapters on African Americans, Latina/os, Asian and Pacific Island Americans, American Indians, gifted students, students with disabilities, and lesbian, gay, bisexual, and transgender students. Action Oriented – All chapters contain practical recommendations for making education activities and outcomes more gender equitable. A final chapter consolidates individual chapter recommendations for educators, policymakers, and researchers to achieve gender equity in and through education. New Material – Expanded from 25 to 31 chapters, this new edition includes: *more emphasis on male gender equity and on sexuality issues; *special within population gender equity challenges (race, ability and disability, etc); *coeducation and single sex education; *increased use of rigorous research strategies such as meta-analysis showing more sex similarities and fewer sex differences and of evaluations of implementation programs; *technology and gender equity is now treated in three chapters; *women's and gender studies; *communication skills relating to English, bilingual, and foreign language learning; and *history and implementation of Title IX and other federal and state policies. Since there is so much misleading information about gender equity and education, this Handbook will be essential for anyone who wants accurate, research-based information on controversial gender equity issues—journalists, policy makers, teachers, Title IX coordinators, equity trainers, women's and gender study faculty, students, and parents.