Reasoning and Sense Making in the Mathematics Classroom: Pre-K - Grade 2, 

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.

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: DeAnn Huinker, Victoria Bill
Название: Taking Action: Implementing Effective Mathematics Teaching Practices in K-Grade 5
ISBN: 0873539699 ISBN-13(EAN): 9780873539692
Издательство: Mare Nostrum (Eurospan)
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Цена: 38710.00 T
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Описание: Are you ready to take your teaching to the next level? Taking Action: Implementing Effective Mathematics Teaching Practices in K—Grade 5 offers a coherent set of professional learning experiences designed to foster teachers’ understanding of the effective mathematics teaching practices and their ability to apply those practices in their own classrooms. The book examines in depth what each teaching practice would look like in an elementary school classroom, with narrative cases, classroom videos, and real student work, presenting a rich array of experiences that bring the practices to life. Chapters are sequenced to scaffold teachers’ exploration of the effective mathematics teaching practices and furnish activities and materials for hands-on learning experiences around each individual teaching practice and across the set of the eight effective practices as a whole. Specific examples of each practice are presented in context, providing real-life instantiations of what the practice “looks” and “sounds” like in the classroom, with a careful analysis that links the practice to student learning and equity. The reader is invited to personally engage in two types of activities that run throughout the book: Analyzing Teaching and Learning, in which tasks or situations are presented to the reader to consider, work out, and reflect on, and Taking Action in Your Classroom, in which concrete suggestions are provided for exploring specific teaching practices in the classroom. Tools, such as a lesson plan template, a task analysis guide, and practices for orchestrating productive discussions, are offered to assist teachers in applying the ideas discussed in the book to their own practices. For teachers who aspire to ambitious teaching that will provide each and every one of their students with more opportunities to experience mathematics as meaningful, challenging, and worthwhile, Taking Action: Implementing Effective Mathematics Teaching Practices in K—Grade 5 is certain to be your number one go-to resource.

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.

Название: Implementing a Standards-Based Curriculum in the Early Childhood Classroom
ISBN: 1138239011 ISBN-13(EAN): 9781138239012
Издательство: Taylor&Francis
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Цена: 163330.00 T
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Описание: Implementing a Standards-Based Curriculum in the Early Childhood Classroom demonstrates how pre-service and in-service teachers can develop mathematics, language arts, and integrated curricula suitable for equipping young children with the knowledge, dispositions, and skills needed to operate successfully as 21st century learners.

Автор: Mary Fiore, Ryan Tackaberry
Название: Making Sense of Number, K-10: Getting to Know Your Students So You Can Support the Development of their Mathematical Understanding
ISBN: 1551383322 ISBN-13(EAN): 9781551383323
Издательство: Taylor&Francis
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Цена: 32650.00 T
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Описание: Shows you how to get to know the needs and abilities of your students so you can help them make sense of maths concepts. You will discover how to structure learning experiences around key number concepts: quantity, counting, relating, and representing.

Автор: Danielson
Название: Performance Tasks and Rubrics for Middle School Mathematics
ISBN: 1138371777 ISBN-13(EAN): 9781138371774
Издательство: Taylor&Francis
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Цена: 117390.00 T
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Описание: In this bestselling book, educational experts Charlotte Danielson and Elizabeth Marquez explain how to construct and apply performance tasks to gauge students` deeper understanding of mathematical concepts at the middle school level.

Автор: Almarode John T., Fisher Douglas B., Thunder Kateri
Название: Teaching Mathematics in the Visible Learning Classroom, Grades 3-5
ISBN: 1544333242 ISBN-13(EAN): 9781544333243
Издательство: Sage Publications
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Цена: 32730.00 T
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Описание: How do you generate that lightbulb “aha” moment of understanding for your students? This book helps to answer that question by showing Visible Learning strategies in action in high-impact mathematics classrooms. Walk in the shoes of teachers as they engage in the countless micro-decisions required to balance strategies, tasks, and assessments, demonstrating that it’s not only what works, but when . A decision-making matrix and grade-leveled examples help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.

Автор: Macey, Darren Hornby, Will
Название: Teaching statistics
ISBN: 1108406300 ISBN-13(EAN): 9781108406307
Издательство: Cambridge Education
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Цена: 35940.00 T
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Описание: These titles focus on the approaches that can be taken in the classroom to develop skills and a conceptual understanding of specific mathematical concepts.

Автор: Almarode John
Название: Teaching Mathematics in the Visible Learning Classroom, Grad
ISBN: 1544333293 ISBN-13(EAN): 9781544333298
Издательство: Sage Publications
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Цена: 32730.00 T
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Описание: Select the right task, at the right time, for the right phase of learning. How can we best help K-2 students to become assessment-capable visible learners in mathematics? This book answers that question by showing Visible Learning strategies in action in high-impact mathematics instruction.

Автор: Enrique Galindo, Jean Lee
Название: Rigor, Relevance, and Relationships: Making Mathematics Come Alive with Project-Based Learning
ISBN: 087353770X ISBN-13(EAN): 9780873537704
Издательство: Mare Nostrum (Eurospan)
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Цена: 35770.00 T
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Описание: Rigor, Relevance, and Relationships: Making Mathematics Come Alive with Project-Based Learning introduces project-based learning (PBL), an exciting new teaching methodology. PBL units that were designed and implemented by high school mathematics teachers are showcased throughout the book, which concludes with tips from mathematics educators who have taught and researched in PBL settings.

Автор: Elizabeth Dr Flinn, Anne Dr Mulligan
Название: The Primary STEM Ideas Book: Engaging Classroom Activities Combining Mathematics, Science and D&T
ISBN: 1138340537 ISBN-13(EAN): 9781138340534
Издательство: Taylor&Francis
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Цена: 148010.00 T
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Описание: This text is designed to promote the integrated teaching of STEM in the primary classroom by providing teachers with lesson and project ideas, allowing children`s knowledge and skills to develop with confidence through integrated activities which only require easily accessible resources found in the classroom.