Making Sense Of Mathematics For Teaching Grades 6 8

Author : Juli K. Dixon,Edward C. Nolan
Publisher : Solution Tree Press
Page : 386 pages
File Size : 53,8 Mb
Release : 2016-04-11
Category : Education
ISBN : 9781942496434

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Making Sense of Mathematics for Teaching, Grades 3-5 by Juli K. Dixon,Edward C. Nolan Pdf

Develop a deep understanding of mathematics. This user-friendly resource presents grades 3–5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding of and procedural fluency with multiplication and division. Address how to learn and teach fraction concepts and operations with depth. Thoroughly teach plane and solid geometry. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Place Value, Addition, and Subtraction 2 Multiplication and Division 3 Fraction Concepts 4 Fraction Operations 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals

Author : Edward C. Nolan,Juli K. Dixon
Publisher : Unknown
Page : 0 pages
File Size : 43,6 Mb
Release : 2016-10-17
Category : Mathematics
ISBN : 1942496478

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Making Sense of Mathematics for Teaching Grades 6-8 by Edward C. Nolan,Juli K. Dixon Pdf

"With Making sense of mathematics for teaching grades 6-8, participants have the opportunity to engage in mathematics as learners. This unscripted video program addresses three specific goals: (1) to explore meaningful tasks as learners of mathematics for teaching, (2) to make sense of the TQE process (tasks, questioning, and evidence), and (3) to create a shared vision of classrooms where teachers are supporting the TQE process and students are engaged in meaningful mathematics learning experiences. The program accomplishes these goals through the use of challenging tasks for teachers, effective questions related to classroom content, and classroom video showing tasks modeled during instruction."--Container

Author : Juli K. Dixon,Edward C. Nolan
Publisher : Solution Tree Press
Page : 218 pages
File Size : 42,7 Mb
Release : 2016-04-11
Category : Education
ISBN : 9781942496403

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Making Sense of Mathematics for Teaching Grades K-2 by Juli K. Dixon,Edward C. Nolan Pdf

Develop a deep understanding of mathematics. This user-friendly resource presents grades K–2 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Clarify math essentials with figures and tables that facilitate understanding through visualization. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Number Concepts and Place Value 2 Word Problem Structures 3 Addition and Subtraction Using Counting Strategies 4 Addition and Subtraction Using Grouping Strategies 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals

Author : Edward C. Nolan,Juli K. Dixon,Farhsid Safi,Erhan Selcuk Haciomeroglu
Publisher : Solution Tree Press
Page : 273 pages
File Size : 40,5 Mb
Release : 2016-05-19
Category : Education
ISBN : 9781942496496

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Making Sense of Mathematics for Teaching High School by Edward C. Nolan,Juli K. Dixon,Farhsid Safi,Erhan Selcuk Haciomeroglu Pdf

Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index

Author : Edward C. Nolan,Juli K. Dixon,George J. Roy,Janet B. Andreasen
Publisher : Unknown
Page : 0 pages
File Size : 44,9 Mb
Release : 2016
Category : Education
ISBN : 1942496451

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Making Sense of Mathematics for Teaching by Edward C. Nolan,Juli K. Dixon,George J. Roy,Janet B. Andreasen Pdf

Develop a deep understanding of mathematics. This user-friendly series presents teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase educator knowledge and improve mathematics instruction schoolwide. Explore strategies and techniques to effectively learn and teach significant mathematics concepts, and provide every student with the precise, accurate information they need to achieve academic success.

Author : Kimberly Morrow-Leong,Sara Delano Moore,Linda M. Gojak
Publisher : Corwin Press
Page : 265 pages
File Size : 47,5 Mb
Release : 2020-08-21
Category : Education
ISBN : 9781071819876

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Mathematize It! [Grades 6-8] by Kimberly Morrow-Leong,Sara Delano Moore,Linda M. Gojak Pdf

Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades 6–8 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades 6–8: · Offers a systematic mathematizing process for students to use when solving word problems · Gives practice opportunities and dozens of problems to leverage in the classroom · Provides specific examples of questions and explorations for multiplication and division, fractions and decimals, as well as operations with rational numbers · Demonstrates the use of visual representations to model problems with dozens of short videos · Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!

Author : Sara Delano Moore,Kimberly Rimbey
Publisher : Corwin Press
Page : 289 pages
File Size : 44,6 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.

Author : Cheryl Rectanus
Publisher : Math Solutions
Page : 191 pages
File Size : 50,6 Mb
Release : 2006
Category : Education
ISBN : 094135573X

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So You Have to Teach Math? by Cheryl Rectanus Pdf

So You Have to Teach Math? Sound Advice for Grades 6-8 Teachers addresses the particular challenges of teaching math in the middle grades, giving teachers direction, support, and encouragement for promoting mathematical learning for all students. The author provides in-depth answers to nearly 150 thought-provoking questions. Teachers will find here helpful ideas for leading class discussions, incorporating writing into math class, assessing and grading student work, dealing with homework issues, communicating with parents, and more.

Author : James Hiebert
Publisher : Heinemann Educational Books
Page : 214 pages
File Size : 54,9 Mb
Release : 1997
Category : Education
ISBN : STANFORD:36105019325369

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Making Sense by James Hiebert Pdf

This book presents several key principles for teaching mathematics for understanding that you can use to reflect on your own teaching, make more informed decisions, and develop more effective systems of instruction.

Author : Kirsten R. Daehler,Mayumi Shinohara,Jennifer Folsom
Publisher : Unknown
Page : 0 pages
File Size : 45,6 Mb
Release : 2011
Category : Force and energy
ISBN : 0914409808

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Force and Motion by Kirsten R. Daehler,Mayumi Shinohara,Jennifer Folsom Pdf

Proven through more than a decade of rigourous research to be effective with both teachers and students, Making Sense of SCIENCE helps teachers gain a deep and enduring understanding of tricky science topics, think and reason scientifically, and support content literacy in science, thereby increasing student achievement. The materials presented in this book help teachers gain a solid understanding of trick science concepts and common misconceptions, support productive and worthwhile professional learning communities, and prepare teachers to implement standards-based science curriculum. Topics are central to the Next Generation Science Framework and aligned with the Common Core State Standards in literacy. This book guides teachers through investigations of motion, changes in motions, force, and the relationship between force, mass, and acceleration, and features: hands-on experiments with easy-to-follow instrucitons and illustrations; clear explanations of tough science concepts; examples of classic misconceptions; a bank of formative assessments; a CD containing reproducible black line masters; and a guided protocol for evaluating student work in professional learning communities.

Author : Mark William Ellis
Publisher : National Council of Teachers of English
Page : 138 pages
File Size : 52,7 Mb
Release : 2008
Category : Educational equalization
ISBN : UCSD:31822037163086

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Mathematics for Every Student by Mark William Ellis Pdf

Guided by the views of the Principles and Standards for School Mathematics, NCTM has created a new three-book series designed to help teachers support high-quality mathematics learning for diverse student populations in the classroom. The articles in the Grades 6-8 book demonstrate how connecting real-life activities with mathematical concepts and building on students' knowledge and experiences, can help them excel in the classroom. Strategies that can immediately be implemented to help students form better connections with the content they are studying are also described.

Author : John A. Van de Walle
Publisher : Addison Wesley Publishing Company
Page : 630 pages
File Size : 40,9 Mb
Release : 1998
Category : Education
ISBN : UOM:39015039926871

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Elementary and Middle School Mathematics by John A. Van de Walle Pdf

John A. Van de Walle has written a book that helps readers make sense of mathematics and become confident in their ability to teach mathematics to children K to 8. Elementatry and Middle School Mathematics consists of 16 chapters reflecting the view that all mathematics can be taught through a problem-solving approach that motivates children and builds their confidence as they learn. This book thoroughly discusses the new standards and clearly develops four key aspects of teaching mathematics: the nature of mathematics as a science of pattern and order; an understanding of how children learn mathematics; a problem solving view of teaching mathematics; and specific methods for integrating assessment with instruction. Simple yet effective classroom activities are woven throughout the chapters as well as suggestions for technology and literature.

Author : Michael T. Battista
Publisher : Unknown
Page : 0 pages
File Size : 47,6 Mb
Release : 2017
Category : Mathematics
ISBN : 0873537041

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Reasoning and Sense Making in the Mathematics Classroom by Michael T. Battista Pdf

Reasoning and Sense Making in the Mathematics Classroom, Grades 6-8, based on extensive research conducted by the authors, is designed to help classroom teachers understand, monitor, and guide the development of students' reasoning and sense making about core ideas in middle school mathematics. It describes and illustrates the nature of these skills using classroom vignettes and actual student work in conjunction with instructional tasks and learning progressions to show how instruction can support students in their development of these competencies. Students who can make sense of mathematical ideas can apply those ideas in problem solving, even in unfamiliar situations, and can use them as a foundation for future learning. Without this base of conceptual understanding, students are reduced to rote learning, often experiencing frustration and failure. But what do reasoning and sense making look like in learning and teaching? Each chapter of Reasoning and Sense Making in the Mathematics Classroom, Grades 6-8 explores a different topic that children encounter in mathematics, demonstrating with actual student work and classroom dialogue how their mathematical knowledge and reasoning ability move through "levels of sophistication," or learning progressions: After opening with a discussion of the nature of reasoning and sense making and their critical importance in developing mathematical thinking, chapter 1 examines how students attempt to make sense of the concepts of fractions and geometric properties of shapes. Chapter 2 discusses how reasoning about ratios and proportional relationships involves deep understanding of the multiplicative relationships embedded in the comparisons of two quantities. Chapter 3 focuses on what it means to call algebra a "style of mathematical thinking" and illustrates how students can view it as a reasoning and sense-making activity rather than as an isolated set of concepts to be memorized without understanding and quickly forgotten. Reasoning and sense making are inextricably linked in statistics and probability. Discussion and examples are used in chapter 4 to illustrate pedagogical practices that recognize and address students' development of statistical understanding, including some of the misunderstandings that students display along the way. Chapter 5 examines how students make sense of and reason about decomposing shapes, and discusses the mental processes underlying this reasoning in the context of area, surface area, and volume. Not just a theoretical treatise, the book provides specific suggestions for related instructional activities for each topic. Reasoning and Sense Making in the Mathematics Classroom, Grades 6-8 will be a valuable and practical addition to your professional library.

Author : Margaret Schwan Smith,Michael D. Steele,Mary Lynn Raith
Publisher : Unknown
Page : 128 pages
File Size : 45,6 Mb
Release : 2017-05
Category : Electronic
ISBN : 0873539753

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Taking Action by Margaret Schwan Smith,Michael D. Steele,Mary Lynn Raith Pdf

Author : Cathy L. Seeley
Publisher : ASCD
Page : 61 pages
File Size : 47,8 Mb
Release : 2016-04-05
Category : Education
ISBN : 9781416622420

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Making Sense of Math by Cathy L. Seeley Pdf

In Making Sense of Math, Cathy L. Seeley, former president of the National Council of Teachers of Mathematics, shares her insight into how to turn your students into flexible mathematical thinkers and problem solvers. This practical volume concentrates on the following areas: * Making sense of math by fostering habits of mind that help students analyze, understand, and adapt to problems when they encounter them. * Addressing the mathematical building blocks necessary to include in effective math instruction. * Turning teaching “upside down” by shifting how we teach, focusing on discussion and analysis as much as we focus on correct answers. * Garnering support for the changes you want to make from colleagues and administrators. Learn how to make math meaningful for your students and prepare them for a lifetime of mathematical fluency and problem solving.