Mathematics For The Elementary School Multiplication Of Rational Numbers
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Developing Essential Understanding Of Rational Numbers For Teaching Mathematics In Grades 3 5
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Author : Carne Barnett-Clarke
language : en
Publisher: National Council of Teachers of English
Release Date : 2010
Developing Essential Understanding Of Rational Numbers For Teaching Mathematics In Grades 3 5 written by Carne Barnett-Clarke and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
What is the relationship between fractions and rational numbers? Can you explain why the product of two fractions between 0 and 1 is less than either factor? How are rational numbers related to irrational numbers, which your students will study in later grades? How much do you know… and how much do you need to know? Helping your upper elementary school students develop a robust understanding of rational numbers requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about rational numbers. It is organised around four big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to rational numbers, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.
Understanding Numbers In Elementary School Mathematics
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Author : Hongxi Wu
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Understanding Numbers In Elementary School Mathematics written by Hongxi Wu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Education categories.
This is a textbook for pre-service elementary school teachers and for current teachers who are taking professional development courses. By emphasizing the precision of mathematics, the exposition achieves a logical and coherent account of school mathematics at the appropriate level for the readership. Wu provides a comprehensive treatment of all the standard topics about numbers in the school mathematics curriculum: whole numbers, fractions, and rational numbers. Assuming no previous knowledge of mathematics, the presentation develops the basic facts about numbers from the beginning and thoroughly covers the subject matter for grades K through 7. Every single assertion is established in the context of elementary school mathematics in a manner that is completely consistent with the basic requirements of mathematics. While it is a textbook for pre-service elementary teachers, it is also a reference book that school teachers can refer to for explanations of well-known but hitherto unexplained facts. For example, the sometimes-puzzling concepts of percent, ratio, and rate are each given a treatment that is down to earth and devoid of mysticism. The fact that a negative times a negative is a positive is explained in a leisurely and comprehensible fashion.
Mathematics For The Elementary School
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Author : School Mathematics Study Group
language : en
Publisher:
Release Date : 1963
Mathematics For The Elementary School written by School Mathematics Study Group and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Algebra categories.
Elementary School Mathematics For Parents And Teachers
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Author : Raz Kupferman
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-03-17
Elementary School Mathematics For Parents And Teachers written by Raz Kupferman and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-17 with categories.
This book covers the elementary school mathematics curriculum common in most parts of the world. Its aim is to serve educators (teachers and parents) as a guide for teaching mathematics at elementary school level. The book focuses both on content knowledge and on pedagogical content knowledge. It bridges the gap between fundamental mathematical principles and good teaching practices. It also offers the reader a glimpse on how mathematicians perceive elementary mathematics and presents ideas for specific mathematical activities. Volume 2 focuses on content taught in the higher grades of elementary school. It covers the following topics: multiplication and division of multi-digit numbers, divisibility and primality, divisibility signs, sequences, fractions and their representations, and fraction arithmetic. Request Inspection Copy
Mathematics Content For Elementary Teachers
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Author : Douglas K. Brumbaugh
language : en
Publisher: Routledge
Release Date : 2004-09-22
Mathematics Content For Elementary Teachers written by Douglas K. Brumbaugh and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-22 with Education categories.
THE book for elementary education mathematics content courses! Designed to help prospective teachers of elementary school mathematics learn content beyond the rote level, this text stimulates readers to think beyond just getting the problem right and fosters their development into thoughtful, reflective, self-motivated, life-long learners. It stresses the what and why of elementary school mathematics content. Hints are provided about how to teach the content but this is mostly left to courses and texts that are dedicated to that purpose. The text is organized around the National Council for Teachers of Mathematics' Principles and Standards for School Mathematics. The Standards dictate the basic sections of the text. Within each section, appropriate specific topics are developed, intertwined with technology, problem solving, assessment, equity issues, planning, teaching skills, use of manipulatives, sequencing, and much more. In addition, major focal points of the Standards are emphasized throughout: effective teachers of mathematics should be able to motivate all students to learn, should understand the developmental levels of how children learn, should concentrate on what children need to become active participants in the learning environment, and should be engaged in ongoing investigations of new mathematical concepts and teaching strategies. Mathematics Content for Elementary Teachers is based on several fundamental premises: *The focus of mathematics education should be on the process, not the answer. *Elementary teachers should know the mathematics content they are teaching, know more than the content they are teaching, and teach from the overflow of knowledge. *It is important for teachers to be flexible in allowing students to use different procedures--teaching from the "overflow of knowledge" implies knowing how to do a given operation more than one way and being willing to examine many different ways. *Teachers need to learn to carefully cover the topics to be taught, to reflect upon them, and to be able to organize them. To help prospective elementary teachers concentrate on the mathematics content they will be expected to teach and begin to build the foundation for the methods they will use, this text includes only elementary mathematics content and does not address middle school concepts. Pedagogical features: *The text is organized according to NCTM Standards. *An informal writing style speaks directly to readers and is geared to pre-service teachers. *Focus is given to multiple methods of problem solving at four developmental levels. *Questions, exercises, and activities are interspersed throughout each section rather than gathered at the end of each chapter. *Complete solutions for exercises are provided.
Mathematics A Good Beginning
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Author : Andria Troutman
language : en
Publisher: Thomson Brooks/Cole
Release Date : 1987-01
Mathematics A Good Beginning written by Andria Troutman and has been published by Thomson Brooks/Cole this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01 with Mathematics categories.
Presented is the third edition of a textbook designed for pre- and inservice teachers of elementary school mathematics. The content was selected on the basis of its direct applicability to the mathematical ideas usually introduced in grades K-6. The content is presented in conjunction with appropriate teaching strategies, determined by research findings and relevant contemporary trends. Each concept presented is followed by related activities for children. Sixteen chapters consider: pre-number concepts; our base-ten numeration system; addition and subtraction; multiplication and division; factors; multiples, primes, and composites; representing, adding, and subtracting rational numbers; multiplying and dividing rational numbers; common mathematical difficulties; problem solving; geometric figures and relationships; children's development of geometric ideas; attributes of measurement; measurement of attributes; organizing, representing, and interpreting data; computer use; and planning and managing instruction. Appendices contain an instructional objectives chart, selected answers for exercises, and material sheets. (MNS)
Mathematics For The Elementary School Grade S 4 6
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Author : School Mathematics Study Group
language : en
Publisher:
Release Date : 1962
Mathematics For The Elementary School Grade S 4 6 written by School Mathematics Study Group and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Mathematics categories.
Improving Instruction In Rational Numbers And Proportionality
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Author : Margaret Schwan Smith
language : en
Publisher: Teachers College Press
Release Date : 2005-01-01
Improving Instruction In Rational Numbers And Proportionality written by Margaret Schwan Smith and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Education categories.
Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.
Teaching Elementary School Mathematics
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Author : C. Alan Riedesel
language : en
Publisher: Prentice Hall
Release Date : 1990
Teaching Elementary School Mathematics written by C. Alan Riedesel and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
The Rational Numbers
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Author :
language : en
Publisher:
Release Date : 1964
The Rational Numbers written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.