Reasoning and Sense-Making Activities for High School Mathematics: Selections from Mathematics Teacher, Jill Newton, Sarah Kasten
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) Рейтинг: Цена: 25810.00 T Наличие на складе: Невозможна поставка. 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: Reasoning and Sense Making in the Mathematics Classroom: Pre-K - Grade 2 ISBN: 0873537025 ISBN-13(EAN): 9780873537025 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 26790.00 T Наличие на складе: Невозможна поставка. 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: 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) Рейтинг: Цена: 25810.00 T Наличие на складе: Невозможна поставка. 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: Susan A. Peters, Jennifer M. Bay-Williams, Sherri L. Martinie Название: On the Money: High School Mathematics Activities to Build Financial Literacy ISBN: 0873537009 ISBN-13(EAN): 9780873537001 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 38810.00 T Наличие на складе: Невозможна поставка. Описание: Give High School Students the Financial and Mathematical Proficiency They Need for SuccessAs high school students make more and more important decisions, their need for financial literacy increases significantly. To succeed in life, they need both an understanding of financial issues and the math skills to make financially sound choices.With all the requirements and standards to be met in high schools today, how can teachers find room to include financial literacy? The key is to integrate financial topics into mathematics instruction, using everyday topics to bring math concepts to life.This book’s ten chapters provide lessons and activities on important financial skills to handle such experiences as making investments, buying insurance, understanding a credit score, leasing or buying a car, and choosing and paying for education after high school. The related mathematical skills include analyzing and representing data, evaluating probabilities, modeling real-life situations, creating functions, and more. Each chapter includes:a “Balance Sheet” summing up the mathematical and financial literacy knowledge that students will take from the lessonrelevant Common Core mathematics standards and practices and Jump$tart financial literacy standardsa full lesson plan, complete with sections on the “Sales Pitch,” the “Fine Print,” and “Closing the Deal”activity sheets and other classroom material, which are also available for download at NCTM’s More4U website; andsuggestions for extended learning, including references and resources.Help students learn how money works and how they can make it work for them.
Автор: Carmen Batanero; Gail Burrill; Chris Reading Название: Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education ISBN: 9400737165 ISBN-13(EAN): 9789400737167 Издательство: Springer Рейтинг: Цена: 167700.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book offers examples of how statistics is conceived in the mathematics school curriculum and how school teachers are trained to teach statistics around the world, as well as discussion of fundamentals in the teaching of statistics. The book also includes a state-of-the-art summary of the research on Teachers` beliefs, attitudes and knowledge in relation to statistics education and analyses the implications and activities for training school teachers to teach statistics.
Автор: Sultan, Alan Artzt, Alice F. Название: Mathematics that every secondary school math teacher needs to know ISBN: 1138228613 ISBN-13(EAN): 9781138228610 Издательство: Taylor&Francis Рейтинг: Цена: 107190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The revised and updated 2nd Edition of this popular text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools.
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 Рейтинг: Цена: 32650.00 T Наличие на складе: Невозможна поставка. 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.
Казахстан, 010000 г. Астана, проспект Туран 43/5, НП2 (офис 2) ТОО "Логобук" Тел:+7 707 857-29-98 ,+7(7172) 65-23-70 www.logobook.kz