Learning to Think Mathematically with the Number Line

Learning to Think Mathematically with the Number Line PDF Author: Jeffery A. Frykholm
Publisher:
ISBN: 9781450701402
Category :
Languages : en
Pages :

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Book Description

Learning to Think Mathematically with the Number Line

Learning to Think Mathematically with the Number Line PDF Author: Jeffery A. Frykholm
Publisher:
ISBN: 9781450701402
Category :
Languages : en
Pages :

Get Book Here

Book Description


Becoming the Math Teacher You Wish You'd Had

Becoming the Math Teacher You Wish You'd Had PDF Author: Tracy Johnston Zager
Publisher: Taylor & Francis
ISBN: 1003839517
Category : Education
Languages : en
Pages : 393

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Book Description
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 PDF Author: David Tall
Publisher: Cambridge University Press
ISBN: 1107035708
Category : Education
Languages : en
Pages : 483

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Book Description
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.

Guided Math Workshop

Guided Math Workshop PDF Author: Laney Sammons
Publisher: Teacher Created Materials
ISBN: 1425816541
Category : Education
Languages : en
Pages : 234

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Book Description
This must-have resource helps teachers successfully plan, organize, implement, and manage Guided Math Workshop. It provides practical strategies for structure and implementation to allow time for teachers to conduct small-group lessons and math conferences to target student needs. The tested resources and strategies for organization and management help to promote student independence and provide opportunities for ongoing practice of previously mastered concepts and skills. With sample workstations and mathematical tasks and problems for a variety of grade levels, this guide is sure to provide the information that teachers need to minimize preparation time and meet the needs of all students.

Ready, Set, Hop!

Ready, Set, Hop! PDF Author: Stuart J. Murphy
Publisher: Harper Collins
ISBN: 0064467023
Category : Mathematics
Languages : en
Pages : 40

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Book Description
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 Talks

Number Talks PDF Author: Sherry Parrish
Publisher: Math Solutions
ISBN: 1935099116
Category : Education
Languages : en
Pages : 434

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Book Description
"A multimedia professional learning resource"--Cover.

Number Sense Routines

Number Sense Routines PDF Author: Jessica F. Shumway
Publisher: Stenhouse Publishers
ISBN: 1571107908
Category : Education
Languages : en
Pages : 194

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Book Description
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.

The Number Line through Guided Inquiry

The Number Line through Guided Inquiry PDF Author: David M. Clark
Publisher: American Mathematical Society
ISBN: 1470465043
Category : Mathematics
Languages : en
Pages : 124

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Book Description
The Number Line through Guided Inquiry is designed to give future secondary teachers a deep understanding of the real numbers and functions on the reals. By presenting just that part of the subject that underlies the high school curriculum, this book offers an alternative to a standard real analysis sequence for advanced undergraduate or beginning graduate students. It will give any student a much deeper understanding of the mathematics that they were taught in high school. Written in a guided-inquiry format, this book consists of a carefully scaffolded sequence of definitions, problems, and theorems that guides students through each topic. Readers solve the problems and prove the theorems on their own and present their results to their peers with the instructor as a mentor and a guide. Students will learn not only the mathematics, but also how to help others learn mathematics. They will learn to think creatively and to make compelling arguments to justify their conclusions. They will learn to listen critically to others and give constructive feedback. Ultimately, they will learn to work as a team to answer the bigger questions and build a common understanding of the broader subject.

Teaching Numeracy

Teaching Numeracy PDF Author: Margie Pearse
Publisher: Corwin Press
ISBN: 1452224404
Category : Education
Languages : en
Pages : 241

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Book Description
Transform mathematics learning from “doing” to “thinking” American students are losing ground in the global mathematical environment. What many of them lack is numeracy—the ability to think through the math and apply it outside of the classroom. Referencing the new common core and NCTM standards, the authors outline nine critical thinking habits that foster numeracy and show you how to: Monitor and repair students’ understanding Guide students to recognize patterns Encourage questioning for understanding Develop students’ mathematics vocabulary Included are several numeracy-rich lesson plans, complete with clear directions and student handouts.

Routines for Reasoning

Routines for Reasoning PDF Author: Grace Kelemanik
Publisher: Heinemann Educational Books
ISBN: 9780325078151
Category : Education
Languages : en
Pages : 0

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Book Description
Routines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines. Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton have applied their extensive experience teaching mathematics and supporting teachers to crafting routines that are practical teaching and learning tools. -- Provided by publisher.