Reasoning And Sense Making In The Mathematics Classroom
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Reasoning And Sense Making In The Elementary Grades Prekindergarten Grade 2
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Author : Michael T. Battista
language : en
Publisher: National Council of Teachers of English
Release Date : 2016
Reasoning And Sense Making In The Elementary Grades Prekindergarten Grade 2 written by Michael T. Battista and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Algebra categories.
Based on extensive research conducted by the authors, Reasoning and Sense Making in the Mathematics Classroom, Pre-K-Grade 2, is designed to help classroom teachers understand, monitor, and guide the development of students' reasoning and sense making about core ideas in elementary 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 reasoning and sense making develop and how instruction can support students in that development. 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 them, students are reduced to rote learning, often experiencing frustration and failure. But what do reasoning and sense making during learning and teaching look like? Each chapter of Reasoning and Sense Making in the Mathematics Classroom, Pre-K-Grade 2 explores a different topic that young 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 young students attempt to make sense of the concepts of place value and length measurement. Chapter 2 focuses on how early childhood instruction can engage students in mathematical reasoning while helping them construct a rich sense of number and operations. Chapter 3 identifies core algebraic ideas and shows how students can engage with these ideas in ways that not only deepen their understanding of arithmetic but also lays the foundation for the future study of algebra. Children's reasoning and sense making as they decompose and compose geometric shapes--including reasoning about area--is examined in chapter 4. The use of learning progressions to understand students' reasoning and to guide their sense making with appropriate teaching is also discussed. Not just a theoretical discussion, the book also provides specific suggestions for related instructional activities for each topic. Supplementary online resources can be accessed at NCTM's More4U website. Reasoning and Sense Making in the Mathematics Classroom, Pre-K-Grade 2 will be a valuable and practical addition to your professional library.
Reasoning And Sense Making In The Mathematics Classroom Grades 3 5
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Author : Michael T. Battista
language : en
Publisher: National Council of Teachers of English
Release Date : 2017
Reasoning And Sense Making In The Mathematics Classroom Grades 3 5 written by Michael T. Battista and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Mathematics categories.
Based on extensive research conducted by the authors, Reasoning and Sense Making in the Mathematics Classroom, Grades 3-5, is designed to help classroom teachers understand, monitor, and guide the development of students' reasoning and sense making about core ideas in elementary school mathematics.
Reasoning And Sense Making In The Mathematics Classroom
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Author : Michael T. Battista
language : en
Publisher:
Release Date : 2017
Reasoning And Sense Making In The Mathematics Classroom written by Michael T. Battista and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Mathematics categories.
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.
Reasoning And Sense Making In The Mathematics Clasroom 3 5
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Author : Michael T. Battista
language : en
Publisher:
Release Date : 2016-08-01
Reasoning And Sense Making In The Mathematics Clasroom 3 5 written by Michael T. Battista and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-01 with Mathematics categories.
Visible Thinking In The K 8 Mathematics Classroom
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Author : Ted H. Hull
language : en
Publisher: Corwin Press
Release Date : 2011-01-21
Visible Thinking In The K 8 Mathematics Classroom written by Ted H. Hull and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-21 with Education categories.
Seeing is believing with this interactive approach to math instruction Do you ever wish your students could read each other’s thoughts? Now they can—and so can you! This newest book by veteran mathematics educators provides instructional strategies for maximizing students’ mathematics comprehension by integrating visual thinking into the classroom. Included are numerous grade-specific sample problems for teaching essential concepts such as number sense, fractions, and estimation. Among the many benefits of visible thinking are: Interactive student-to-student learning Increased class participation Development of metacognitive thinking and problem-solving skills
Reasoning Communication And Connections In Mathematics Yearbook 2012 Association Of Mathematics Educators
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Author : Berinderjeet Kaur
language : en
Publisher: World Scientific
Release Date : 2012-04-20
Reasoning Communication And Connections In Mathematics Yearbook 2012 Association Of Mathematics Educators written by Berinderjeet Kaur and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-20 with Mathematics categories.
This fourth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore entitled Reasoning, Communication and Connections in Mathematics is unique in that it focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance reasoning, communication and connections in mathematics classrooms.Several renowned international researchers in the field have published their work in this volume. The fifteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three major themes: mathematical tasks, classroom discourse, and connectivity within and beyond mathematics, shape the ideas underpinning reasoning, communication and connections in these chapters. The book makes a significant contribution towards mathematical processes essential for learners of mathematics. It is a good resource for mathematics educators and research students.
Making Sense Of Mathematics For Teaching Grades 3 5
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Author : Juli K. Dixon
language : en
Publisher: Solution Tree Press
Release Date : 2016-04-11
Making Sense Of Mathematics For Teaching Grades 3 5 written by Juli K. Dixon and has been published by Solution Tree Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-11 with Education categories.
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
Teaching Mathematical Reasoning In Secondary School Classrooms
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Author : Karin Brodie
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-08
Teaching Mathematical Reasoning In Secondary School Classrooms written by Karin Brodie and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-08 with Education categories.
For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills—specifically, reasoning skills—that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities. A sampling of the topics covered: Whole-class discussion methods for teaching mathematics reasoning. Learning mathematical reasoning through tasks. Teaching mathematics using the five strands. Classroom strategies for promoting mathematical reasoning. Maximizing student contributions in the classroom. Overcoming student resistance to mathematical conversations. Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.
Mathematics Teaching In Singapore Volume 1 Theory Informed Practices
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Author : Ngan Hoe Lee
language : en
Publisher: World Scientific
Release Date : 2020-04-30
Mathematics Teaching In Singapore Volume 1 Theory Informed Practices written by Ngan Hoe Lee and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-30 with Mathematics categories.
This book series will provide readers with the landscape of mathematics teaching practices in Singapore classroom. In this first book of the series, Theory-Informed Practices, the book will have a collection of teachers' classroom practices that are informed by theory. It will provide classroom exemplars of how teachers make use of theories to inform their practices to better cater to the needs of the learners. This book which targets at the practitioners is written in a way that help the practitioners to be better in consuming and applying such efforts in the own classrooms. It provides the interested readers not only the landscape but also the spectrum of pedagogical approaches and strategies that are theoretically informed and adopted by the Singapore mathematics teachers. This book is written by expert teachers for teachers. It will also be of interest to graduate students, mathematics educators and the international mathematics education community who are looking for greater insights to the Singapore mathematics classrooms.