Knowing and Teaching Elementary Mathematics

Knowing and Teaching Elementary Mathematics

Author: Liping Ma

Publisher: Routledge

Published: 2010-03-26

Total Pages: 290

ISBN-13: 1135149496

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Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.


Teaching by Design in Elementary Mathematics, Grades 4–5

Teaching by Design in Elementary Mathematics, Grades 4–5

Author: Melinda Leong

Publisher: Corwin Press

Published: 2010-12

Total Pages: 273

ISBN-13: 1412987032

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This professional learning programme for Key Stage 3 mathematics teaching is grounded in the latest research on the characteristics of effective professional development. The materials help teachers: - deepen their content knowledge for important mathematical concepts in their grade - increase their understanding of how students learn these mathematical ideas - use their knowledge to develop effective lessons and improve instruction - enhance their collaboration skills. The mathematical content of Teaching by Design in Mathematics matches content topics in number and operations identified for each grade by the NCTM Curriculum Focal Points. The culminating activity of the programme is the co-creation of a prototype lesson which is taught to students by team members; the team then investigates the impact of the lesson on student learning. The cycle of investigating, planning, teaching, observing, debriefing, and revising a lesson together contributes to a climate of continuous professional learning.


Vision in Elementary Mathematics

Vision in Elementary Mathematics

Author: W. W. Sawyer

Publisher: Courier Corporation

Published: 2012-09-26

Total Pages: 370

ISBN-13: 0486143627

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Sure-fire techniques of visualizing, dramatizing, and analyzing numbers promise to attract and retain students' attention and understanding. Topics include basic multiplication and division, algebra, word problems, graphs, negative numbers, fractions, many other practical applications of elementary mathematics. 1964 ed. Answers to Problems.


One, Two, Three

One, Two, Three

Author: David Berlinski

Publisher: Vintage

Published: 2012-05-01

Total Pages: 225

ISBN-13: 1400079101

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The acclaimed author of A Tour of the Calculus and The Infinite Ascent offers an enlightening and enthralling tour of the basics of mathematics, and reveals a world of fascination in fundamental mathematical ideas. One, Two, Three is David Berlinski’s captivating exploration of the foundation of mathematics, its fundamental ideas, and why they matter. By unraveling the complex answers to these most elementary questions—What is a number? How do addition, subtraction, and other functions actually work? What are geometry and logic?—Berlinski reveals the intricacy behind their seemingly simple exteriors. Peppered with enlightening historical anecdotes and asides on some of history’s most fascinating mathematicians, One, Two, Three, revels in the beauty of numbers as Berlinski shows us how and why these often slippery concepts are as essential to the field of mathematics as to who we are.


Lectures on Elementary Mathematics

Lectures on Elementary Mathematics

Author: Joseph Louis Lagrange

Publisher: Courier Corporation

Published: 2012-08-29

Total Pages: 178

ISBN-13: 0486155021

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One of the 18th century's greatest mathematicians delivered these lectures at a training school for teachers. An exemplar among elementary expositions, they combine original ideas and elegant expression. 1898 edition.


Teaching Elementary Mathematics to Struggling Learners

Teaching Elementary Mathematics to Struggling Learners

Author: Bradley S. Witzel

Publisher: Guilford Publications

Published: 2016-01-25

Total Pages: 193

ISBN-13: 1462523110

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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.


100 Great Problems of Elementary Mathematics

100 Great Problems of Elementary Mathematics

Author: Heinrich Dörrie

Publisher: Courier Corporation

Published: 2013-04-09

Total Pages: 418

ISBN-13: 0486318478

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Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.


The Historical Roots of Elementary Mathematics

The Historical Roots of Elementary Mathematics

Author: Lucas N. H. Bunt

Publisher: Courier Corporation

Published: 2012-12-11

Total Pages: 337

ISBN-13: 0486139689

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Exciting, hands-on approach to understanding fundamental underpinnings of modern arithmetic, algebra, geometry and number systems examines their origins in early Egyptian, Babylonian, and Greek sources.