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Author : Mihai Rosu
Publisher : Xlibris Corporation
Page : 338 pages
File Size : 18,72 MB
Release : 2010-11-19
Category : Mathematics
ISBN : 1453597190
I take great pleasure in recommending this book to all students, but especially those involved in the IB and AP programs. Use it alongside your textbooks and notes for maximum results.
Author : Alan Sultan
Publisher : World Scientific
Page : 196 pages
File Size : 12,15 MB
Release : 2016-02-25
Category : Mathematics
ISBN : 981473005X
This book is a rare resource consisting of problems and solutions similar to those seen in mathematics contests from around the world. It is an excellent training resource for high school students who plan to participate in mathematics contests, and a wonderful collection of problems that can be used by teachers who wish to offer their advanced students some challenging nontraditional problems to work on to build their problem solving skills. It is also an excellent source of problems for the mathematical hobbyist who enjoys solving problems on various levels.Problems are organized by topic and level of difficulty and are cross-referenced by type, making finding many problems of a similar genre easy. An appendix with the mathematical formulas needed to solve the problems has been included for the reader's convenience. We expect that this book will expand the mathematical knowledge and help sharpen the skills of students in high schools, universities and beyond.
Author : Arthur A. Hyde
Publisher : Heinemann Educational Books
Page : 288 pages
File Size : 47,79 MB
Release : 2009
Category : Mathematics
ISBN :
Imagine handling students state-by-state data on the number of gallons of soft drinks sold per person in one year. Imagine using it to lead a vibrant problem-solving session in which students energetically pose and answer mathematical questions: Why does it say sold instead of consumed? What is a soft drink? Is it the same as a soda? Who would collect this kind of data? Why would they collect it? How was gallons per person calculated? What was the total amount of soda sold in our state? How many 12-ounce cans is that? 20-ounce bottles? How many of each per person? Understanding Middle School Math gathers 50 cool problems like this that lead to deep thinking. Problems such as the Renovation Problem, in which students uncover ideas about how perimeter, area, length, and cost affect a construction project. Or Chocolate Algebra, where they discover linear relationships among the pocket money available to buy two differently priced chocolate candies. Arthur Hyde combines the latest research and decades of classroom experience to braid language, cognition, and math. His approach can help any student, including underprepared ones, with the rigors of math in middle school and beyond. He has created and adapted problems that strongly connect math to the real world, to students lives, and to prior knowledge. Problems that scaffold content and processes, and give students multiple entry points into learning. Every problem has been extensively field tested and refined by classroom teachers. And for each cool problem practicing middle school teachers describe how they used it to differentiate over a wide range of students and extend learning. For fantastic problems your students won't soon forget and teaching solutions that are exciting, substantial, and transformative, turn to Art Hyde. Read and use Understanding Middle School Math and pass your love of math on as you meet your classroom goals.
Author : Edward J. Thomas
Publisher : Corwin Press
Page : 225 pages
File Size : 38,33 MB
Release : 2010-08-10
Category : Education
ISBN : 1412968356
One key to raising achievement in mathematics is to recognize that all students have preferred styles of thinking and learning. By rotating teaching strategies, you can reach learners through their preferred styles, as well as challenge students to think in other styles. Styles and Strategies for Teaching High School Mathematics provides a set of powerful, research-based strategies to help high school teachers differentiate mathematics instruction and assessment according to their students' learning styles. Presenting four distinct mathematical learning styles--Mastery, Understanding, Self-Expressive, and Interpersonal--this book offers classroom-tested instructional strategies that can be mixed and matched to reach all learners. Compatible with any curriculum or textbook, the book: - Explains how the strategies address NCTM process standards and students' learning styles - Includes step-by-step directions, examples, and planning considerations for each strategy - Provides reproducible forms for implementing the strategies - Offers variations and ways to adapt each strategy to meet a variety of instructional demands With assessment components woven throughout, this invaluable guide helps high school mathematics teachers effectively reach and teach today's adolescents.
Author : Mary M. Hatfield
Publisher :
Page : 522 pages
File Size : 40,59 MB
Release : 2004-04-29
Category : Education
ISBN :
An activity-based approach to teaching with an emphasis on using manipulatives to build conceptual understanding! This invaluable book combines practical teaching ideas, video examples, updated assessment techniques, and the NCTM Assessment Standards to give teachers all the background they need to introduce elementary and middle school students to the wonders of mathematics.
Author : John A. Van de Walle
Publisher : Pearson Education
Page : 0 pages
File Size : 20,89 MB
Release : 2013
Category : Mathematics
ISBN : 9780132612265
Elementary and Middle School Mathematics: Teaching Developmentally provides an unparalleled depth of ideas and discussion to help teachers develop a real understanding of the mathematics they will teach and the most effective methods of teaching the various mathematics topics. This text reflects the NCTM and Common Core State Standards and the benefits of problem-based mathematics instruction. It is structured for maximum flexibility, offering 23 chapters that may be mixed and matched to fit any course or teaching approach. This comprehensive, practical text offers readers a strong theoretical perspective reflecting the most current research on how students learn mathematics, ways to best teach it, and many problem-based activities to engage students. An important reference to consult throughout a teaching career, Van de Walle, Karp and Bay-William's book helps teachers and their preK-8 students find the excitement that happens when mathematics makes sense.
Author : Alfred S Posamentier
Publisher : World Scientific Publishing Company
Page : 188 pages
File Size : 10,50 MB
Release : 2015-03-05
Category : Mathematics
ISBN : 9814651656
This book introduces ten problem-solving strategies by first presenting the strategy and then applying it to problems in elementary mathematics. In doing so, first the common approach is shown, and then a more elegant strategy is provided. Elementary mathematics is used so that the reader can focus on the strategy and not be distracted by some more sophisticated mathematics.
Author : John F. Le Blanc
Publisher : Addison Wesley Publishing Company
Page : 49 pages
File Size : 35,39 MB
Release : 1976
Category : Mathematics
ISBN : 9780201146288
This unit is 1 of 12 developed for the university classroom portion of the Mathematics-Methods Program (MMP), created by the Indiana University Mathematics Education Development Center (MEDC) as an innovative program for the mathematics training of prospective elementary school teachers (PSTs). Each unit is written in an activity format that involves the PST in doing mathematics with an eye toward application of that mathematics in the elementary school. This document is one of four units that are devoted to mathematical topics for the elementary teacher. In addition to an introduction to the unit and some perspectives on problem solving, the text has six activity sections titled: In Search of a Strategy; Looking for Another Strategy; To Find a Third Strategy; Now Try Your Hand; Reflection on Your Experiences; and Helping Children Solve Problems. (MP)
Author : Kiana Avestimehr
Publisher :
Page : 124 pages
File Size : 34,3 MB
Release : 2020-06-24
Category :
ISBN : 9781680839845
This book teaches 7 basic problem solving strategies that can be used by elementary students to overcome the challenge of how to start thinking about a math problem. It contains more than 100 challenging problems that are suitable for elementary-school students, along with their step-by-step solution to help the reader master these strategies.
Author : Richard S. Millman
Publisher : Springer
Page : 230 pages
File Size : 15,21 MB
Release : 2015-02-09
Category : Mathematics
ISBN : 3319144278
Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials. The benefit to readers who are moving from calculus to more abstract mathematics is to acquire the ability to understand proofs through use of the book and the multitude of proofs and problems that will be covered throughout. This book is meant to be a transitional precursor to more complex topics in analysis, advanced number theory, and abstract algebra. To achieve the goal of conceptual understanding, a large number of problems and examples will be interspersed through every chapter. The problems are always presented in a multi-step and often very challenging, requiring the reader to think about proofs, counter-examples, and conjectures. Beyond the undergraduate mathematics student audience, the text can also offer a rigorous treatment of mathematics content (numbers and algebra) for high-achieving high school students. Furthermore, prospective teachers will add to the breadth of the audience as math education majors, will understand more thoroughly methods of proof, and will add to the depth of their mathematical knowledge. In the past, PNA has been taught in a "problem solving in middle school” course (twice), to a quite advanced high school students course (three semesters), and three times as a secondary resource for a course for future high school teachers. PNA is suitable for secondary math teachers who look for material to encourage and motivate more high achieving students.