Making Sense Of Mathematics For Teaching

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Making Sense of Mathematics for Teaching, Grades 3-5

Juli K. Dixon,Edward C. Nolan
Making Sense of Mathematics for Teaching Grades 3 5 Book PDF

Author : Juli K. Dixon,Edward C. Nolan
Publisher : Solution Tree Press
Page : 386 pages
File Size : 46,5 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

Making Sense of Mathematics for Teaching Grades K-2

Juli K. Dixon,Edward C. Nolan
Making Sense of Mathematics for Teaching Grades K 2 Book PDF

Author : Juli K. Dixon,Edward C. Nolan
Publisher : Solution Tree Press
Page : 218 pages
File Size : 49,9 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

Making Sense of Mathematics for Teaching Grades 6-8

Edward C. Nolan,Juli K. Dixon
Making Sense of Mathematics for Teaching Grades 6 8 Book PDF

Author : Edward C. Nolan,Juli K. Dixon
Publisher : Unknown
Page : 0 pages
File Size : 47,5 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

Making Sense of Mathematics for Teaching High School

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

Author : Edward C. Nolan,Juli K. Dixon,Farhsid Safi,Erhan Selcuk Haciomeroglu
Publisher : Solution Tree Press
Page : 273 pages
File Size : 46,9 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

Making Sense of Math

Cathy L. Seeley
Making Sense of Math Book PDF

Author : Cathy L. Seeley
Publisher : ASCD
Page : 61 pages
File Size : 42,7 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.

Making Sense

James Hiebert
Making Sense Book PDF

Author : James Hiebert
Publisher : Heinemann Educational Books
Page : 214 pages
File Size : 41,9 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.

Becoming the Math Teacher You Wish You'd Had

Tracy Johnston Zager
Becoming the Math Teacher You Wish You d Had Book PDF

Author : Tracy Johnston Zager
Publisher : Taylor & Francis
Page : 393 pages
File Size : 48,8 Mb
Release : 2023-10-10
Category : Education
ISBN : 9781003839514

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Becoming the Math Teacher You Wish You'd Had by Tracy Johnston Zager Pdf

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.

Teaching Mathematics

Pamela Cowan
Teaching Mathematics Book PDF

Author : Pamela Cowan
Publisher : Routledge
Page : 272 pages
File Size : 45,5 Mb
Release : 2006-02-13
Category : Education
ISBN : 9781134310838

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Teaching Mathematics by Pamela Cowan Pdf

A practical introduction to Maths teaching designed specifically for beginning teachers in primary and secondary schools. It brings together the latest DfES and TTA guidelines and requirements with authoritative guidance, ensuring that readers feel confident about how to approach their role as a teacher. This book explores key issues in maths teaching today, including: planning and classroom management assessment, recording and reporting information and communication technology investigative mathematics equal opportunities, special needs and differentiation key skills and alternative mathematics qualifications being an effective maths teacher personal and professional development in the early stages of a teaching career.

Learning to Love Math

Judy Willis
Learning to Love Math Book PDF

Author : Judy Willis
Publisher : ASCD
Page : 270 pages
File Size : 43,7 Mb
Release : 2010-09-09
Category : Education
ISBN : 9781416612285

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Learning to Love Math by Judy Willis Pdf

Is there a way to get students to love math? Dr. Judy Willis responds with an emphatic yes in this informative guide to getting better results in math class. Tapping into abundant research on how the brain works, Willis presents a practical approach for how we can improve academic results by demonstrating certain behaviors and teaching students in a way that minimizes negativity. With a straightforward and accessible style, Willis shares the knowledge and experience she has gained through her dual careers as a math teacher and a neurologist. In addition to learning basic brain anatomy and function, readers will learn how to * Improve deep-seated negative attitudes toward math. * Plan lessons with the goal of "achievable challenge" in mind. * Reduce mistake anxiety with techniques such as errorless math and estimation. * Teach to different individual learning strengths and skill levels. * Spark motivation. * Relate math to students' personal interests and goals. * Support students in setting short-term and long-term goals. * Convince students that they can change their intelligence. With dozens of strategies teachers can use right now, Learning to Love Math puts the power of research directly into the hands of educators. A Brain Owner's Manual, which dives deeper into the structure and function of the brain, is also included—providing a clear explanation of how memories are formed and how skills are learned. With informed teachers guiding them, students will discover that they can build a better brain . . . and learn to love math!

Math on the Move

Malke Rosenfeld
Math on the Move Book PDF

Author : Malke Rosenfeld
Publisher : Heinemann Educational Books
Page : 0 pages
File Size : 40,9 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.

Meaning in Mathematics Education

Jeremy Kilpatrick,Celia Hoyles,Ole Skovsmose
Meaning in Mathematics Education Book PDF

Author : Jeremy Kilpatrick,Celia Hoyles,Ole Skovsmose
Publisher : Springer Science & Business Media
Page : 260 pages
File Size : 46,5 Mb
Release : 2006-03-30
Category : Education
ISBN : 9780387240404

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Meaning in Mathematics Education by Jeremy Kilpatrick,Celia Hoyles,Ole Skovsmose Pdf

What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed—theoretical and practical—and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge. This book presents a wide variety of theoretical reflections and research results about meaning in mathematics and mathematics education based on long-term and collective reflection by the group of authors as a whole. It is the outcome of the work of the BACOMET (BAsic COmponents of Mathematics Education for Teachers) group who spent several years deliberating on this topic. The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education. This book is of interest to researchers in mathematics education, graduate students of mathematics education, under graduate students in mathematics, secondary mathematics teachers and primary teachers with an interest in mathematics.

Making Sense of Number

Annette Hilton,Geoff Hilton
Making Sense of Number Book PDF

Author : Annette Hilton,Geoff Hilton
Publisher : Cambridge University Press
Page : 215 pages
File Size : 46,9 Mb
Release : 2021-09-15
Category : Education
ISBN : 9781009009928

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Making Sense of Number by Annette Hilton,Geoff Hilton Pdf

A concise introduction to personal and professional numeracy skills, helping readers to become more mathematically competent.

Making Sense of Word Problems

Eric de Corte,Brian Greer,Lieven Verschaffel
Making Sense of Word Problems Book PDF

Author : Eric de Corte,Brian Greer,Lieven Verschaffel
Publisher : CRC Press
Page : 232 pages
File Size : 53,9 Mb
Release : 2000-01-01
Category : Education
ISBN : 9026516282

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Making Sense of Word Problems by Eric de Corte,Brian Greer,Lieven Verschaffel Pdf

Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.

Math Makes Sense!

Ana Helvia Quintero,Héctor Rosario
Math Makes Sense Book PDF

Author : Ana Helvia Quintero,Héctor Rosario
Publisher : World Scientific
Page : 292 pages
File Size : 50,6 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781783268665

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Math Makes Sense! by Ana Helvia Quintero,Héctor Rosario Pdf

The methods for teaching mathematics usually follow the structure of mathematics. The problem with this is that the structure of mathematics took centuries of elaboration to develop and is not the same as how one originally experiences mathematics. Based on research of how mathematics is actually learned, this book presents an innovative approach for teaching mathematics that will engage pupils and can have lifelong benefits for how they take on board more advanced mathematical topics. Math Makes Sense! makes use of the realistic mathematics education (RME) philosophy, which bridges the gap between informal mathematics learning (such as in day-to-day life) and more formal teaching in school. Many real-life situations as examples for learning are included, as well as different mathematical and logic puzzles that will stimulate learning and foster understanding. The ideas presented are not confined to one national curriculum and so can be helpful worldwide to teachers/ instructors (both in practice and those still in training), private tutors, homeschooling parents, and educational researchers. Contents:PrefaceAcknowledgmentsAbout the AuthorsFostering the Learning of MathematicsConstruction of Concepts and Mathematical InterpretationsNumberingAddition and SubtractionMultiplication and DivisionFractions, Decimals, and PercentagesMeasurementExploring SpaceProbability and StatisticsPatterns, Relations, and FunctionsThe Joy of PuzzlesTechnology: A Tool for Analysis and InterpretationAssessmentConcluding Remarks Readership: Teachers, trainee teachers, researchers interested in mathematics education, homeschool parents, and parents with children in primary/ elementary school. Key Features:This book is grounded on solid mathematics learning research, as well as on the authors' own observations in the classroom, and so combines theoretical knowledge with practiceWritten in an accessible mannerGives educators ideas which they can easily implement in the classroom

The Really Useful Maths Book

Tony Brown,Henry Liebling
The Really Useful Maths Book Book PDF

Author : Tony Brown,Henry Liebling
Publisher : Routledge
Page : 326 pages
File Size : 41,9 Mb
Release : 2014-01-10
Category : Education
ISBN : 9781317913559

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The Really Useful Maths Book by Tony Brown,Henry Liebling Pdf

The Really Useful Maths Book is for all those who want children to enjoy the challenge of learning mathematics. With suggestions about the best ways to use resources and equipment to support learning, it describes in detail how to make learning the easy option for children.An easy-to-follow, comprehensive guide packed with ideas and activities, it is the perfect tool to help teachers who wish to develop their teaching strategies. The second edition has been fully updated in light of the latest research, as well as in response to the new mathematics curriculum. It includes many more practical activities for each mathematical topic and explores exciting new areas. Key topics covered include: Numbers and the number system Operations and calculations Shape and space Measures, statistics and data handling Cross-curricular approaches Resources and planning for teaching and learning Contexts for making sense of mathematics Bridges, strategies and personal qualities Dialogue and interactive teaching International perspectives on teaching and learning Psychology and neuroscience to maximize learning. The Really Useful Maths Book makes mathematics meaningful, challenging and interesting. It will be invaluable to practicing primary teachers, subject specialists, maths co-ordinators, student teachers, mentors, tutors, home educators and others interested in mathematics education programmes. Tony Brown was formerly the Director of ESCalate, the UK Centre for Education in HE at the Graduate School of Education, University of Bristol, UK. Henry Liebling formerly led Primary Mathematics Education at University College Plymouth, Marjon, UK.