Learning to Think Mathematically with the Number Line

Learning to Think Mathematically with the Number Line
Title Learning to Think Mathematically with the Number Line PDF eBook
Author Jeffery A. Frykholm
Publisher
Pages
Release 2010-01-01
Genre
ISBN 9781450701402

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Becoming the Math Teacher You Wish You'd Had

Becoming the Math Teacher You Wish You'd Had
Title Becoming the Math Teacher You Wish You'd Had PDF eBook
Author Tracy Johnston Zager
Publisher Taylor & Francis
Pages 393
Release 2023-10-10
Genre Education
ISBN 1003839517

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Ask mathematicians to describe mathematics and they' ll use words like playful, beautiful, and creative. Pose the same question to students and many will use words like boring, useless, and even humiliating. Becoming the Math Teacher You Wish You' d Had, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Zager has spent years working with highly skilled math teachers in a diverse range of settings and grades and has compiled those' ideas from these vibrant classrooms into' this game-changing book. Inside you' ll find: ' How to Teach Student-Centered Mathematics:' Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learning Big Ideas, Practical Application:' This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborate Key Topics for Elementary and Middle School Teachers:' Becoming the Math Teacher You Wish You' d Had' offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachers No matter what level of math class you teach, Zager will coach you along chapter by chapter. All teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.

How Humans Learn to Think Mathematically

How Humans Learn to Think Mathematically
Title How Humans Learn to Think Mathematically PDF eBook
Author David Tall
Publisher Cambridge University Press
Pages 483
Release 2013-09-02
Genre Education
ISBN 1107035708

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How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level.

Math on the Move

Math on the Move
Title Math on the Move PDF eBook
Author Malke Rosenfeld
Publisher Heinemann Educational Books
Pages 0
Release 2016-10-18
Genre Education
ISBN 9780325074702

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"Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.

Ready, Set, Hop!

Ready, Set, Hop!
Title Ready, Set, Hop! PDF eBook
Author Stuart J. Murphy
Publisher Harper Collins
Pages 40
Release 1996-03-27
Genre Mathematics
ISBN 0064467023

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Frog friends, Matty and Moe, are off with a "Ready, Set, Hop!" They both made it to the rock, but who's in the lead? If Matty hopped 5 hops and Moe hopped 2 more hops than Matty, then the score is 5 to 7. But then they're off again. Any child who can add or subtract can build a simple equation, and Matty and Moe make it fun. As readers count along with Stuart J. Murphy and Jon Buller they will sharpen their problem solving skills and find out which frog is the better hopper.

Number Sense Routines

Number Sense Routines
Title Number Sense Routines PDF eBook
Author Jessica F. Shumway
Publisher Stenhouse Publishers
Pages 194
Release 2011
Genre Education
ISBN 1571107908

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Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations. In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy.

Number Talks

Number Talks
Title Number Talks PDF eBook
Author Sherry Parrish
Publisher Math Solutions
Pages 434
Release 2010
Genre Education
ISBN 1935099116

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"A multimedia professional learning resource"--Cover.