Performing Math: A History of Communication and Anxiety in the American Mathematics Classroom, Andrew Fiss

Автор: Fiss Andrew
Название: Performing Math: A History of Communication and Anxiety in the American Mathematics Classroom
ISBN: 1978820208 ISBN-13(EAN): 9781978820203
Издательство: Mare Nostrum (Eurospan)
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Цена: 35070.00 T
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Описание: Performing Math tells the history of expectations for math communication - and the conversations about math hatred and math anxiety that occurred in response. Focusing on nineteenth-century American colleges, this book analyzes foundational tools and techniques of math communication: the textbooks that supported reading aloud, the burnings that mimicked pedagogical speech, the blackboards that accompanied oral presentations, the plays that proclaimed performers' identities as math students, and the written tests that redefined 'student performance.' Math communication and math anxiety went hand in hand as new rules for oral communication at the blackboard inspired student revolt and as frameworks for testing student performance inspired performance anxiety. With unusual primary sources from over a dozen educational archives, Performing Math argues for a new, performance-oriented history of American math education, one that can explain contemporary math attitudes and provide a way forward to reframing the problem of math anxiety.

Автор: Mary Fiore, Ryan Tackaberry
Название: Finding the Math in Your Classroom: Engaging Students in Thinking, Talking, and Learning as Mathematicians
ISBN: 1551383330 ISBN-13(EAN): 9781551383330
Издательство: Mare Nostrum (Eurospan)
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Цена: 23100.00 T
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Описание: Ready? You probably heard this quote: `Ever tried. Ever failed. No matter. Try again. Fail again. Fail better.` But do you remember who said it? A) Samuel Beckett B) George Washington Carver C) Alexander Graham Bell D) E.E. Cummings? Or how about: `I pride myself on the fact that my work has no redeeming value.` Would that be A) Madonna B) Gene Simmons) C) John Waters D) Trey Parker?

Автор: David Costello
Название: Making Math Stick: Classroom strategies that support the long-term understanding of math concepts
ISBN: 1551383500 ISBN-13(EAN): 9781551383507
Издательство: Taylor&Francis
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Цена: 32650.00 T
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Описание: This remarkable book shows teachers how to stop working harder and start working smarter. It describes a shift from ""teach-test-move-on"" to ""teach-connect-apply"" to optimise student learning. This valuable resource provides teachers with an understanding of simple, manageable, and sustainable strategies to change their approach immediately.

Автор: Michael T. Battista
Название: Reasoning and Sense Making in the Mathematics Classroom: Grades 6-8
ISBN: 0873537041 ISBN-13(EAN): 9780873537049
Издательство: Mare Nostrum (Eurospan)
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Цена: 25810.00 T
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Описание: 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.

Автор: Heid Mary Kathleen, Wilson Patricia S., Blume Glendon W.
Название: Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations (Hc)
ISBN: 168123114X ISBN-13(EAN): 9781681231143
Издательство: Mare Nostrum (Eurospan)
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Цена: 104410.00 T
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Описание: A perennial discussion about teacher development is the optimal content background for teachers. In recent years, that discussion has taken center stage in the work of mathematics education researchers, mathematicians, mathematics professional developers, and mathematics education policymakers. Much of the existing and prior work in this area has been directed toward mathematical knowledge for teaching at the elementary level. The work described in this volume takes a sometimes-neglected approach, focusing on the dynamic nature of mathematical understanding rather than on a stable description of mathematical knowledge, and on mathematics for secondary teaching rather than mathematics for teaching at the elementary level.The work reported in Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations is a practice-based response to the question of what mathematical understandings secondary teachers could productively use in their teaching. For each of more than 50 events, our team of almost 50 mathematics educators who were experienced mathematics teachers developed descriptions of the mathematics that teachers could use—each of those descriptions (consisting of the event and the mathematics related to the event) is what we call a Situation. We developed our Framework for Mathematical Understanding for Secondary Teaching (MUST) based on an analysis of our entire set of Situations. We call the work practice-based because the MUST framework is based on actual events that we witnessed in our observations of secondary mathematics practice.Groups of mathematics teachers can use this volume to enhance their own understandings of secondary mathematics. School leaders and professional developers in secondary mathematics will find our MUST Framework and Situations useful as they work with teachers in enhancing and deepening their understanding of secondary mathematics. Mathematics teacher educators and mathematicians who teach mathematics to prospective and in-service secondary teachers will be able to couch their mathematical discussions in the Situations—examples that arise from secondary mathematics classrooms. They will be able to use this volume as they design courses and programs that enhance mathematics from the perspectives identified in the MUST framework. Policymakers and researchers can use our MUST framework as they consider the mathematics background needed by teachers.

Автор: Heid M. Kathleen, Wilson Patricia S., Blume Glendon W.
Название: Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations
ISBN: 1681231131 ISBN-13(EAN): 9781681231136
Издательство: Mare Nostrum (Eurospan)
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Цена: 76690.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A perennial discussion about teacher development is the optimal content background for teachers. In recent years, that discussion has taken center stage in the work of mathematics education researchers, mathematicians, mathematics professional developers, and mathematics education policymakers. Much of the existing and prior work in this area has been directed toward mathematical knowledge for teaching at the elementary level. The work described in this volume takes a sometimes-neglected approach, focusing on the dynamic nature of mathematical understanding rather than on a stable description of mathematical knowledge, and on mathematics for secondary teaching rather than mathematics for teaching at the elementary level.The work reported in Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations is a practice-based response to the question of what mathematical understandings secondary teachers could productively use in their teaching. For each of more than 50 events, our team of almost 50 mathematics educators who were experienced mathematics teachers developed descriptions of the mathematics that teachers could use—each of those descriptions (consisting of the event and the mathematics related to the event) is what we call a Situation. We developed our Framework for Mathematical Understanding for Secondary Teaching (MUST) based on an analysis of our entire set of Situations. We call the work practice-based because the MUST framework is based on actual events that we witnessed in our observations of secondary mathematics practice.Groups of mathematics teachers can use this volume to enhance their own understandings of secondary mathematics. School leaders and professional developers in secondary mathematics will find our MUST Framework and Situations useful as they work with teachers in enhancing and deepening their understanding of secondary mathematics. Mathematics teacher educators and mathematicians who teach mathematics to prospective and in-service secondary teachers will be able to couch their mathematical discussions in the Situations—examples that arise from secondary mathematics classrooms. They will be able to use this volume as they design courses and programs that enhance mathematics from the perspectives identified in the MUST framework. Policymakers and researchers can use our MUST framework as they consider the mathematics background needed by teachers.

Автор: Cathery Yeh, Mark Ellis, Carolee Koehn Hurtado
Название: Reimagining the Mathematics Classroom: Creating and Sustaining Productive Learning Environments
ISBN: 0873539087 ISBN-13(EAN): 9780873539081
Издательство: Mare Nostrum (Eurospan)
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Цена: 27810.00 T
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Описание: How can you maximize your students learning as they engage in mathematics? What does the latest research reveal about developing mathematically strong and engrossing math instruction?Reimagining the Mathematics Classroom presents a comprehensive systems approach to examining mathematics teaching. It synthesizes and illustrates current research on the essential elements of mathematics teaching and learning, unpacking each component the classroom physical space; mathematical discourse, tasks, assessments; and families and communities and providing concrete practical strategies and tools teachers can apply directly to their work. In addition, tips on using technology to assess and enhance learning are embedded throughout the book.Reimagining the Mathematics Classroom delivers proven techniques and real classroom examples written or videotaped to address these and other important questions and concerns with which teachers grapple:How can I encourage collaborative problem solving during group work?How do I establish norms, routines, and ground rules for group and whole-class math discourse?How can I build on existing textbook problems to make them more rigorous, relevant, and accessible?What technologies help elicit and extend students mathematical thinking?How do I assess students in their development of knowledge of procedures, concepts, and mathematical practices?How can I transform parental involvement to collaborative partnerships and joint engagement?Reimagining the Mathematics Classroom is a resource to explore individually, to share with a colleague, or to discuss as part of a study group. Professional development tools, such as those described below, are woven throughout the text, with supplementary materials (math problem worksheets, conversational prompts, purposeful questions, videos, and so forth available on NCTM s More4U website.Classroom cases in each chapter provide real-life scenarios of the research-based practices and guiding principles articulated in the chapter. Math examples from a range of grade levels focus on concepts that students have traditionally struggled to understand conceptually. Cases include reflection questions to guide in the analysis and implementation of these ideas in your own teaching practice. Every chapter ends with a bulleted list of strategies to help you follow through on that chapter's main theme in your own classroom.Reimagining the Mathematics Classroom is as practical as it is inspirational. It is sure to be a valuable addition to your professional library.

Автор: Michael T. Battista, Jae Meen Baek, Kathleen Cramer, Maria Blanton
Название: Reasoning and Sense Making in the Mathematics Classroom Grades: 3-5
ISBN: 0873537033 ISBN-13(EAN): 9780873537032
Издательство: Mare Nostrum (Eurospan)
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Цена: 25810.00 T
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Описание: 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. 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, Grades 3–5 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 concept of length measurement.Chapter 2 focuses on student strategies that exemplify conceptually sound reasoning and sense making in the context of multiplication word problems, and discusses how instruction can support students’ growth in this reasoning. The critical topic of properties of numbers that underlie reasoning about multiplication is also examined.Chapter 3 describes how students in grades 3–5 extend their understanding of number to include fractions and how they can build reasoning and sense making for fractions through explorations of different representations such as physical materials, pictures, and story contexts.Discussions on the nature of early algebraic reasoning, including research-based descriptions of this reasoning in children, classroom practices that can support this reasoning, and how algebra can be appropriately integrated in elementary mathematical content are provided in chapter 4.Chapter 5 discusses practices and processes connected to reasoning about geometric decomposition and structuring as applied to arrays of squares and cubes and to area and volume problems. A learning progression for the development of such reasoning is examined, and instructional practices that are consistent with this learning progression are considered.Not just a theoretical discussion,the book also provides specific suggestions for related instructional activities for each topic. Reasoning and Sense Making in the Mathematics Classroom, Grades 3–5 will be a valuable and practical addition to your professional library.

Название: Reasoning and Sense Making in the Mathematics Classroom: Pre-K - Grade 2
ISBN: 0873537025 ISBN-13(EAN): 9780873537025
Издательство: Mare Nostrum (Eurospan)
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Цена: 26790.00 T
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Описание: Based on extensive research conducted by the authors, this book 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 illustrates the nature of these skills using classroom vignettes and actual student work in conjunction with instructional tasks and learning progressions.

Автор: Leanne Ketterlin-Geller, David J. Chard, Sarah R. Powell, Lindsey Perry
Название: Teaching Math in Middle School: Using MTSS to Meet All Students` Needs
ISBN: 1598572741 ISBN-13(EAN): 9781598572742
Издательство: Mare Nostrum (Eurospan)
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Цена: 33400.00 T
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Описание: Make all your middle schoolers confident and competent mathematicians with this book, your accessible guide to teaching math to every learner in Grades 6-8. Focused on knocking down roadblocks to learning, this reader-friendly resource shows you how to use multi-tiered systems of support (MTSS)—a powerful, widely adopted framework for meeting each student's individual needs. You'll learn how to deliver high-quality, evidence-based math instruction; combine your instruction with meaningful assessment; and provide just-right supports that help students conquer their specific math struggles.An essential guide for in-service educators—and an important resource for teachers in training—this book gives you the in-depth knowledge and practical tools you need to support every student's success in middle school math.DISCOVER HOW TO:Implement MTSS to benefit all students: Develop and use tiered supports across your whole school, promote collaboration between general and special educators, and troubleshoot your MTSS.Build foundational numeracy skills: Help your students strengthen the three pillars of numeracy that build algebraic proficiency.Design and deliver effective math instruction: Use today's recommended practices to teach all students, and develop Tier 2 and Tier 3 interventions that really help struggling learners.Choose and use effective supports: Distinguish between differentiation, accommodation, and modification, and learn when and how to use them.Use data to make decisions: Learn how to select and use screeners, diagnostic assessments, progress monitoring tools, and summative assessments—and use results to shape instruction.PRACTICAL MATERIALS: More than a dozen downloadable forms help you plan for MTSS and implement what you learned from the book, vignettes and sample problems model best practices, and interviews with real-life educators brim with valuable advice on implementing MTSS in math education.

Автор: Karla Karstens
Название: Finding your Math Power: Concepts in Mathematics for Elementary School Teachers
ISBN: 1516541960 ISBN-13(EAN): 9781516541966
Издательство: Mare Nostrum (Eurospan)
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Цена: 137060.00 T
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Описание: Finding your Math Power: Concepts in Mathematics for Elementary School Teachers helps pre-service teachers become more effective problem-solvers so they can better teach their students. This manual features practical suggestions and tools that transcend rote procedures and emphasize methods that work best for students.After a brief history of math education and an examination of current standards, the book discusses different areas of instruction and how to teach them effectively. Target skills include sets and Venn diagrams, whole numbers, fractions and decimals, percent, integers, and real numbers. Readers learn various ways to approach and work through the problems to meet the varied needs of their students.The second edition features a new chapter on addition, subtraction, multiplication, and division utilizing the Base 5 numeration system, fresh review problems throughout, and new problem-solving content in Chapter 7: Problem Solving Revisited. Finding your Math Power helps readers increase their abilities and embrace their math power. The book is appropriate for elementary and middle school education programs for pre-service teachers. It is also an excellent reference for teaching professionals seeking to improve their skills as math educators.

Автор: Luzniak Chris
Название: Up for Debate!: Exploring Math Through Argument
ISBN: 1625312814 ISBN-13(EAN): 9781625312815
Издательство: Taylor&Francis
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Цена: 26530.00 T
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Описание: Shares stories, examples, and step-by-step routines that will help you build a classroom culture where students do the talking, explain their thinking, and critique each other`s reasoning, all in the context of the maths content you`re expected to teach.