Connecting Mathematical Ideas

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Connecting Mathematical Ideas

Jo Boaler,Cathy Humphreys
Connecting Mathematical Ideas Book PDF

Author : Jo Boaler,Cathy Humphreys
Publisher : Heinemann Educational Books
Page : 146 pages
File Size : 40,9 Mb
Release : 2005
Category : Education
ISBN : UOM:49015002974112

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Connecting Mathematical Ideas by Jo Boaler,Cathy Humphreys Pdf

In math, like any subject, real learning takes place when students can connect what they already know to new ideas. In "Connecting Mathematical Idea"s, Jo Boaler and Cathy Humphreys offer a comprehensive way to improve your ability to help adolescents build connections between different mathematical ideas and representations and between domains like algebra and geometry. "Connecting Mathematical Ideas" contains two-CDs worth of video case studies from Humphreys' own middle-school classroom that show her encouraging students to bridge complex mathematical concepts with their prior knowledge. Replete with math talk and coverage of topics like representation, reasonableness, and proof, the CDs also include complete transcripts and study questions that stimulate professional learning. Meanwhile, the accompanying book guides you through the CDs with in-depth commentary from Boaler and Humphreys that breaks down and analyzes the lesson footage from both a theoretical and a practical standpoint. In addition to addressing the key content areas of middle school mathematics, Boaler and Humphreys pose and help you address a broad range of frequently asked pedagogical questions, such as: How can I organize productive class discussions? How do I ask questions that stimulate discussion and thought among my students? What's the most effective way to encourage reticent class members to speak up? What role should student errors play in my teaching? Go inside real classrooms to solve your toughest teaching questions. Use the case studies and the wealth of professional support within "Connecting Mathematical Ideas" and find new ways to help your students connect with math.

Mastering Math Manipulatives, Grades 4-8

Sara Delano Moore,Kimberly Rimbey
Mastering Math Manipulatives Grades 4 8 Book PDF

Author : Sara Delano Moore,Kimberly Rimbey
Publisher : Corwin Press
Page : 289 pages
File Size : 47,9 Mb
Release : 2021-10-04
Category : Education
ISBN : 9781071816066

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Mastering Math Manipulatives, Grades 4-8 by Sara Delano Moore,Kimberly Rimbey Pdf

Put math manipulatives to work in your classroom and make teaching and learning math both meaningful and productive. Mastering Math Manipulatives includes everything you need to integrate math manipulatives—both concrete and virtual—into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as base ten blocks, fraction manipulatives, unit squares and cubes, Cuisenaire Rods, Algebra tiles and two-color counters, geometric strips and solids, geoboards, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners. It features: · Classroom strategies for introducing math manipulatives, including commercial, virtual, and hand-made manipulatives, into formal math instruction. · Step-by-step instructions for over 70 activities that work with any curriculum, including four-color photos, printable work mats, and demonstration videos. · Handy charts that sort activities by manipulative type, math topic, domains aligned with standards, and grade-level appropriateness.

Mastering Math Manipulatives

Sara Moore,Sara Delano Moore,Kimberly Rimbey
Mastering Math Manipulatives Book PDF

Author : Sara Moore,Sara Delano Moore,Kimberly Rimbey
Publisher : Unknown
Page : 0 pages
File Size : 41,8 Mb
Release : 2022
Category : Elementary Teaching Methods
ISBN : 1071816020

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Mastering Math Manipulatives by Sara Moore,Sara Delano Moore,Kimberly Rimbey Pdf

Mastering Math Manipulatives includes everything you need to integrate math manipulatives--both concrete and virtual--into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as two-color counters, linking cubes, base ten blocks, fraction manipulatives, pattern blocks, tangrams, geometric solids, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners.

Key Ideas in Teaching Mathematics

Anne Watson,Keith Jones,Dave Pratt
Key Ideas in Teaching Mathematics Book PDF

Author : Anne Watson,Keith Jones,Dave Pratt
Publisher : Oxford University Press
Page : 270 pages
File Size : 48,7 Mb
Release : 2013-02-21
Category : Education
ISBN : 9780199665518

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Key Ideas in Teaching Mathematics by Anne Watson,Keith Jones,Dave Pratt Pdf

International research is used to inform teachers and others about how students learn key ideas in higher school mathematics, what the common problems are, and the strengths and pitfalls of different teaching approaches. An associated website, hosted by the Nuffield Foundation, gives summaries of main ideas and access to sample classroom tasks.

Connecting Math Concepts

Anonim
Connecting Math Concepts Book PDF

Author : Anonim
Publisher : Unknown
Page : 160 pages
File Size : 45,9 Mb
Release : 2003
Category : Mathematics
ISBN : 0026846950

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Connecting Math Concepts by Anonim Pdf

A basal program that introduces ideas gradually. Level F combined with Bridge level designed for students who need to boost their skills before advancing to algebra.

Mindset Mathematics

Jo Boaler,Jen Munson,Cathy Williams
Mindset Mathematics Book PDF

Author : Jo Boaler,Jen Munson,Cathy Williams
Publisher : John Wiley & Sons
Page : 288 pages
File Size : 43,6 Mb
Release : 2017-08-28
Category : Education
ISBN : 9781119358800

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Mindset Mathematics by Jo Boaler,Jen Munson,Cathy Williams Pdf

Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the first-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.

Connecting Arithmetic to Algebra

Susan Jo Russell,Deborah Schifter,Virginia Bastable
Connecting Arithmetic to Algebra Book PDF

Author : Susan Jo Russell,Deborah Schifter,Virginia Bastable
Publisher : Heinemann Educational Books
Page : 0 pages
File Size : 49,7 Mb
Release : 2011
Category : Education
ISBN : 0325041911

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Connecting Arithmetic to Algebra by Susan Jo Russell,Deborah Schifter,Virginia Bastable Pdf

"To truly engage in mathematics is to become curious and intrigued about regularities and patterns, then describe and explain them. A focus on the behavior of the operations allows students starting in the familiar territory of number and computation to progress to true engagement in the discipline of mathematics." -Susan Jo Russell, Deborah Schifter, and Virginia Bastable Algebra readiness: it's a topic of concern that seems to pervade every school district. How can we better prepare elementary students for algebra? More importantly, how can we help all children, not just those who excel in math, become ready for later instruction? The answer lies not in additional content, but in developing a way of thinking about the mathematics that underlies both arithmetic and algebra. Connecting Arithmetic to Algebra invites readers to learn about a crucial component of algebraic thinking: investigating the behavior of the operations. Nationally-known math educators Susan Jo Russell, Deborah Schifter, and Virginia Bastable and a group of collaborating teachers describe how elementary teachers can shape their instruction so that students learn to: *notice and describe consistencies across problems *articulate generalizations about the behavior of the operations *develop mathematical arguments based on representations to explain why such generalizations are or are not true. Through such work, students become familiar with properties and general rules that underlie computational strategies-including those that form the basis of strategies used in algebra-strengthening their understanding of grade-level content and at the same time preparing them for future studies. Each chapter is illustrated by lively episodes drawn from the classrooms of collaborating teachers in a wide range of settings. These provide examples of posing problems, engaging students in productive discussion, using representations to develop mathematical arguments, and supporting both students with a wide range of learning profiles. Staff Developers: Available online, the Course Facilitator's Guide provides math leaders with tools and resources for implementing a Connecting Arithmetic to Algebra workshop or preservice course. For information on the PD course offered through Mount Holyoke College, download the flyer.

Mathematical Mindsets

Jo Boaler
Mathematical Mindsets Book PDF

Author : Jo Boaler
Publisher : John Wiley & Sons
Page : 311 pages
File Size : 55,7 Mb
Release : 2015-10-12
Category : Education
ISBN : 9781118418277

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Mathematical Mindsets by Jo Boaler Pdf

Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.

Eyes on Math

Marian Small
Eyes on Math Book PDF

Author : Marian Small
Publisher : Teachers College Press
Page : 241 pages
File Size : 55,9 Mb
Release : 2015-04-25
Category : Education
ISBN : 9780807772362

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Eyes on Math by Marian Small Pdf

This new book is an exciting follow-up to the authors’ bestsellers on differentiated math instruction, Good Questions and More Good Questions. Eyes on Math is a unique teaching resource that provides engaging, full-color graphics and pictures with text showing teachers how to use each image to stimulate mathematical teaching conversations around key K–8 concepts. Teachers using the book can download the images for projection onto classroom white boards or screens. The questions and answers will help both students and teachers look more deeply and see the math behind the math! For each of more than 120 visuals, the text identifies the key math concept and the Common Core State Standard being addressed and then provides teachers with: Mathematical background and context.Questions to use with students to lead the instructional conversation.Expected answers and explanations of why each question is important.Follow-up extensions to solidify and assess student understanding. This book will be useful to a broad range of teachers who will find new ways to clarify concepts that students find difficult. It can be used as a resource to prepare teachers for the higher mathematical thinking requirements of the CCSS Mathematical Practices. It will also be an invaluable resource for teachers working with students with low reading ability, including English language learners and special education students. “This book provides a way for both teachers and students to get used to talking about mathematics in nonthreatening, open-ended ways. The author’s friendly explanations of the mathematical ideas the pictures are intended to surface give teachers who are less confident about the conceptual aspects of mathematics the support they need to facilitate less-scripted mathematical discourse with their students.” —Lucy West, education consultant Praise for Good Questions and More Good Questions! “A must for any educator who is serious about reaching more students more often and achieving more positive results.” —Resources for the Mathematics Educator “A valuable book for mathematics teachers, teacher educators, and faculty involved in differentiated instruction.” —Choice “A great resource.” —Mathematics Teaching in the Middle School “I highly recommend this user-friendly resource for all mathematics teachers.” —Teaching Children Mathematics

Mathematical Argumentation in Middle School-The What, Why, and How

Jennifer Knudsen,Harriette S. Stevens,Teresa Lara-Meloy,Hee-Joon Kim,Nikki Schechtman,Nicole Shechtman
Mathematical Argumentation in Middle School The What Why and How Book PDF

Author : Jennifer Knudsen,Harriette S. Stevens,Teresa Lara-Meloy,Hee-Joon Kim,Nikki Schechtman,Nicole Shechtman
Publisher : Corwin Press
Page : 185 pages
File Size : 55,6 Mb
Release : 2017-09-21
Category : Education
ISBN : 9781506394237

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Mathematical Argumentation in Middle School-The What, Why, and How by Jennifer Knudsen,Harriette S. Stevens,Teresa Lara-Meloy,Hee-Joon Kim,Nikki Schechtman,Nicole Shechtman Pdf

This research-based book brings tough Standards for Mathematical Practice 3 standards for mathematical argumentation and critical reasoning alive - all within a thoroughly explained four-part model that covers generating cases, conjecturing, justifying, and concluding.

Principles to Actions

National Council of Teachers of Mathematics
Principles to Actions Book PDF

Author : National Council of Teachers of Mathematics
Publisher : National Council of Teachers of Mathematics, Incorporated
Page : 139 pages
File Size : 48,5 Mb
Release : 2014-02
Category : Curriculum planning
ISBN : 0873537742

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Principles to Actions by National Council of Teachers of Mathematics Pdf

This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.

Connecting Math Concepts Level A, Workbook 2

McGraw-Hill
Connecting Math Concepts Level A Workbook 2 Book PDF

Author : McGraw-Hill
Publisher : McGraw-Hill Education
Page : 128 pages
File Size : 53,6 Mb
Release : 2011-09-01
Category : Mathematics
ISBN : 0021035733

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Connecting Math Concepts Level A, Workbook 2 by McGraw-Hill Pdf

SRA Connecting Maths Concepts Comprehensive Edition has been revised for Levels A-F and students in Grades K-5. This program gives students who are at-risk of falling behind or who have already significantly fallen behind the chance to catch up and learn significant mathematics. New digital resources accompany the program including Practice Software, Board Displays and eBook Teacher Guides and Presentation Books.

Math on the Move

Malke Rosenfeld
Math on the Move Book PDF

Author : Malke Rosenfeld
Publisher : Heinemann Educational Books
Page : 0 pages
File Size : 49,8 Mb
Release : 2016-10-18
Category : Education
ISBN : 0325074704

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Math on the Move by Malke Rosenfeld Pdf

"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.

Connecting Math Concepts Level C Studentworkbook 1

SRA/McGraw-Hill,Owen Engelmann
Connecting Math Concepts Level C Studentworkbook 1 Book PDF

Author : SRA/McGraw-Hill,Owen Engelmann
Publisher : Unknown
Page : 184 pages
File Size : 47,7 Mb
Release : 2011-09-01
Category : Arithmetic
ISBN : 0021035768

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Connecting Math Concepts Level C Studentworkbook 1 by SRA/McGraw-Hill,Owen Engelmann Pdf

Contains a remedial mathematics program for grades K-5.

Mastering Math Manipulatives, Grades 4-8

Sara Delano Moore,Kimberly Rimbey
Mastering Math Manipulatives Grades 4 8 Book PDF

Author : Sara Delano Moore,Kimberly Rimbey
Publisher : Corwin Press
Page : 467 pages
File Size : 47,5 Mb
Release : 2021-10-21
Category : Education
ISBN : 9781071851135

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Mastering Math Manipulatives, Grades 4-8 by Sara Delano Moore,Kimberly Rimbey Pdf

Put math manipulatives to work in your classroom and make teaching and learning math both meaningful and productive. Would you like to bring math learning to life and make it more concrete, relevant, and accessible to your students? Do you wish you could do more with the manipulatives buried in your supply closet? Do you want to more effectively use virtual manipulatives in your distance learning? Whether physical or virtual, commercial or home-made, manipulatives are a powerful learning tool to help students discover and represent mathematical concepts. Mastering Math Manipulatives includes everything you need to integrate math manipulatives—both concrete and virtual—into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as base ten blocks, fraction manipulatives, unit squares and cubes, Cuisenaire Rods, Algebra tiles and two-color counters, geometric strips and solids, geoboards, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners. It features: Classroom strategies for introducing math manipulatives, including commercial, virtual, and hand-made manipulatives, into formal math instruction. Step-by-step instructions for over 70 activities that work with any curriculum, including four-color photos, printable work mats, and demonstration videos. Handy charts that sort activities by manipulative type, math topic, domains aligned with standards, and grade-level appropriateness. It′s time to dive in and join in the journey toward making manipulatives meaningful so math learning is concrete, profound, and effective for your students!