Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3/5

Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3/5 PDF Author: Carne Barnett-Clarke
Publisher: National Council of Teachers of English
ISBN: 9780873536301
Category : Mathematics
Languages : en
Pages : 83

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Book Description
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

Understanding Numbers in Elementary School Mathematics PDF Author: Hongxi Wu
Publisher: American Mathematical Soc.
ISBN: 0821852604
Category : Education
Languages : en
Pages : 586

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Book Description
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.

Teaching Elementary Mathematics to Struggling Learners

Teaching Elementary Mathematics to Struggling Learners PDF Author: Bradley S. Witzel
Publisher: Guilford Publications
ISBN: 1462523110
Category : Education
Languages : en
Pages : 193

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Book Description
Packed with effective instructional strategies, this book explores why certain K-5 students struggle with math and provides a framework for helping these learners succeed. The authors present empirically validated practices for supporting students with disabilities and others experiencing difficulties in specific areas of math, including problem solving, early numeracy, whole-number operations, fractions, geometry, and algebra. Concrete examples, easy-to-implement lesson-planning ideas, and connections to state standards, in particular the Common Core standards, enhance the book's utility. Also provided is invaluable guidance on planning and delivering multi-tiered instruction and intervention.

Rational Elementary Arithmetic

Rational Elementary Arithmetic PDF Author: Henry Holmes Belfield
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 274

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Book Description


Elementary School Mathematics For Parents And Teachers - Volume 2

Elementary School Mathematics For Parents And Teachers - Volume 2 PDF Author: Raz Kupferman
Publisher: World Scientific Publishing Company
ISBN: 9813108959
Category : Education
Languages : en
Pages : 302

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Book Description
'The exposition is exceptionally clear, and keeps its audience in mind: in the end, this is ‘a book for adults on mathematics for children’. ‘Adults’ here includes parents as well as teachers; in the author’s words, ‘Every parent is automatically an educator!’ There is considerable merit in including parents in the elementary mathematics conversation; it is a pleasure to see books like Kupferman’s that explain elementary math to adults. If our students, in their future role as teachers, can enlist parents as allies, everyone will benefit. These books are one good way to begin addressing that challenge.'MAA ReviewsThis 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.The author is also a co-founder of Matific, an adaptive game-based teaching and learning tool for primary school mathematics. Independent studies have shown Matific to improve test scores, reduce maths anxiety, and increase motivation. Matific is available in 26 languages and aligned to mathematics curricula in 46 countries. Awards include Best Mathematics Instructional Solution, Best Game-Based Curriculum Solution and Best Educational App. For a trial, visit https://www.matific.com.

Elementary Algebra (Teacher Guide)

Elementary Algebra (Teacher Guide) PDF Author: Harold R. Jacobs
Publisher: New Leaf Publishing Group
ISBN: 0890519862
Category : Mathematics
Languages : en
Pages : 30

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Book Description
Daily schedule, tests, and additional coursework for the one-year Elementary Algebra course. Elementary Algebra is designed to prepare the student with a foundational understanding of basic principles in Algebra. This Elementary Algebra Teacher’s Guide includes: A convenient daily schedule with space to record gradesHelpful information on teaching the course and tests for student assessmentSet III exercise worksheets; as well as chapter, mid-term review, final exams, and answer keys. Jacobs’ Elementary Algebra is highly regarded in the education market. This curriculum provides a full year of mathematics in a clearly written format with guidance for teachers as well as for students who are self-directed. Also available: The Solutions Manual for Elementary Algebra by Master Books® provides solutions and answers for all exercises in the course, as well as mid-term and final review tests.

Mathematics for Elementary Teachers

Mathematics for Elementary Teachers PDF Author: Sybilla Beckmann
Publisher: Pearson Education
ISBN: 9780321645807
Category : Education
Languages : en
Pages : 883

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Book Description
This activities manul includes activities designed to be done in class or outside of class. These activities promote critical thinking and discussion and give students a depth of understanding and perspective on the concepts presented in the text.

The United States Catalog

The United States Catalog PDF Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 630

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Book Description


Algebra, Arithmetic, and Geometry

Algebra, Arithmetic, and Geometry PDF Author: Yuri Tschinkel
Publisher: Springer Science & Business Media
ISBN: 0817647457
Category : Mathematics
Languages : en
Pages : 723

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Book Description
EMAlgebra, Arithmetic, and Geometry: In Honor of Yu. I. ManinEM consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics.

How Students Learn

How Students Learn PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309089506
Category : Education
Languages : en
Pages : 265

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Book Description
How Students Learn: Science in the Classroom builds on the discoveries detailed in the best-selling How People Learn. Now these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. Organized for utility, the book explores how the principles of learning can be applied in science at three levels: elementary, middle, and high school. Leading educators explain in detail how they developed successful curricula and teaching approaches, presenting strategies that serve as models for curriculum development and classroom instruction. Their recounting of personal teaching experiences lends strength and warmth to this volume. This book discusses how to build straightforward science experiments into true understanding of scientific principles. It also features illustrated suggestions for classroom activities.