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Author: Bernice Kastner
Publisher: Austin Macauley Publishers
ISBN: 164536948X
Category : Education
Languages : en
Pages : 73
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Book Description
It can be difficult to recognize that in spite of the precision and power of mathematics, both the verbal and symbolic language it uses have the same qualities of ambiguity as every other human language. In The Role of Language in Teaching Children Math, Dr. Kastner reveals strategies to overcome the fact that traditional and current mathematics curricula, beginning in the early grades, fail to provide students with the conceptual understanding required to advance to levels where the delight of geometry and calculus become accessible. Kastner's clear prose and organic organization assists teachers, parents, and students to untangle abstract meanings required for mastery in the field of mathematics. "As teachers of mathematics, it is critical that we continually foster meaningful mathematical conversations with children in order for them to develop a deep understanding of the math. Bernice's extraordinary, thought-provoking book is a primer on how the language we use to teach and talk about mathematics can either obscure or illuminate the profound beauty of mathematics. The Role of Language in Teaching Children Math should be read by any serious teacher of mathematics." --Debby Halperin, Recipient of the Presidential Award for Excellence in Mathematics Teaching 2014
Author: Bernice Kastner
Publisher: Austin Macauley Publishers
ISBN: 164536948X
Category : Education
Languages : en
Pages : 73
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Book Description
It can be difficult to recognize that in spite of the precision and power of mathematics, both the verbal and symbolic language it uses have the same qualities of ambiguity as every other human language. In The Role of Language in Teaching Children Math, Dr. Kastner reveals strategies to overcome the fact that traditional and current mathematics curricula, beginning in the early grades, fail to provide students with the conceptual understanding required to advance to levels where the delight of geometry and calculus become accessible. Kastner's clear prose and organic organization assists teachers, parents, and students to untangle abstract meanings required for mastery in the field of mathematics. "As teachers of mathematics, it is critical that we continually foster meaningful mathematical conversations with children in order for them to develop a deep understanding of the math. Bernice's extraordinary, thought-provoking book is a primer on how the language we use to teach and talk about mathematics can either obscure or illuminate the profound beauty of mathematics. The Role of Language in Teaching Children Math should be read by any serious teacher of mathematics." --Debby Halperin, Recipient of the Presidential Award for Excellence in Mathematics Teaching 2014
Author: Malke Rosenfeld
Publisher: Heinemann Educational Books
ISBN: 9780325074702
Category : Education
Languages : en
Pages : 0
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Book Description
"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.
Author: Kathryn B. Chval
Publisher: Corwin Press
ISBN: 1071810839
Category : Education
Languages : en
Pages : 317
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Book Description
Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.
Author: David C. Geary
Publisher: Academic Press
ISBN: 0128159537
Category : Psychology
Languages : en
Pages : 377
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Book Description
The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes on to examine learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and addresses issues associated with intervention fadeout. Identifies the relative influence of school and family on math learning Discusses the efficacy of numerical play for improvement in math Features learning trajectories in math Examines the role of math language in numeracy skills Includes assessments of math skills Explores the role of cognition in treating math-based learning difficulties
Author: Sung Je Cho
Publisher: Springer
ISBN: 3319126881
Category : Education
Languages : en
Pages : 617
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Book Description
This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.
Author: John Hattie
Publisher: Corwin Press
ISBN: 1506362958
Category : Education
Languages : en
Pages : 209
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Book Description
Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.
Author: Isabel L. Beck
Publisher: Guilford Press
ISBN: 146250826X
Category : Language Arts & Disciplines
Languages : en
Pages : 241
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Book Description
Hundreds of thousands of teachers have used this highly practical guide to help K–12 students enlarge their vocabulary and get involved in noticing, understanding, and using new words. Grounded in research, the book explains how to select words for instruction, introduce their meanings, and create engaging learning activities that promote both word knowledge and reading comprehension. The authors are trusted experts who draw on extensive experience in diverse classrooms and schools. Sample lessons and vignettes, children's literature suggestions, "Your Turn" learning activities, and a Study Guide for teachers enhance the book's utility as a classroom resource, professional development tool, or course text. The Study Guide can also be downloaded and printed for ease of use (www.guilford.com/beck-studyguide). New to This Edition *Reflects over a decade of advances in research-based vocabulary instruction. *Chapters on vocabulary and writing; assessment; and differentiating instruction for struggling readers and English language learners, including coverage of response to intervention (RTI). *Expanded discussions of content-area vocabulary and multiple-meaning words. *Many additional examples showing what robust instruction looks like in action. *Appendix with a useful menu of instructional activities. See also the authors' Creating Robust Vocabulary: Frequently Asked Questions and Extended Examples, which includes specific instructional sequences for different grade ranges, as well as Making Sense of Phonics, Second Edition: The Hows and Whys, by Isabel L. Beck and Mark E. Beck, an invaluable resource for K–3.
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131987
Category : Education
Languages : en
Pages : 53
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Book Description
Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Author: Núria Planas
Publisher: Taylor & Francis
ISBN: 0429523009
Category : Education
Languages : en
Pages : 243
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Book Description
This book offers an international perspective on the current and future state of the research, focusing, in particular, on the role and use of language in mathematics school teaching and learning. It focuses on the development of a unified view of the languages of the learners, of the teachers and of mathematics by considering the role of language in the learning, teaching and doing of mathematics in the classroom, and the current richness and plurality of language and culture. The contributions in this volume combine to show how views of language and of language research in mathematics education have changed significantly in recent decades, and how they will continue to change and become even more complex and challenging in the era of diversity. All of these contributions by leading scholars are grouped into two sections for emphasis on issues of: • Theorising the complexity of language in mathematics teaching and learning • Opening spaces of learning with mathematics classroom research on language This book will be of great interest to mathematics teachers, teacher educators, curriculum developers and mathematics education researchers who deal with the study and implementation of pedagogies of mathematics teaching and learning, specifically in regions of the world which are culturally and sociolinguistically diverse.
Author: Judit N. Moschkovich
Publisher: IAP
ISBN: 161735161X
Category : Education
Languages : en
Pages : 197
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Book Description
Issues of language in mathematics learning and teaching are important for both practical and theoretical reasons. Addressing issues of language is crucial for improving mathematics learning and teaching for students who are bilingual, multilingual, or learning English. These issues are also relevant to theory: studies that make language visible provide a complex perspective of the role of language in reasoning and learning mathematics. What is the relevant knowledge base to consider when designing research studies that address issues of language in the learning and teaching of mathematics? What scholarly literature is relevant and can contribute to research? In order to address issues of language in mathematics education, researchers need to use theoretical perspectives that integrate current views of mathematics learning and teaching with current views on language, discourse, bilingualism, and second language acquisition. This volume contributes to the development of such integrated approaches to research on language issues in mathematics education by describing theoretical perspectives for framing the study of language issues and methodological issues to consider when designing research studies. The volume provides interdisciplinary reviews of the research literature from four very different perspectives: mathematics education (Moschkovich), Cultural-Historical-Activity Theory (Gutiérrez, Sengupta-Irving, & Dieckmann), systemic functional linguistics (Schleppegrell), and assessment (Solano-Flores). This volume offers graduate students and researchers new to the study of language in mathematics education an introduction to resources for conceptualizing, framing, and designing research studies. For those already involved in examining language issues, the volume provides useful and critical reviews of the literature as well as recommendations for moving forward in designing research. Lastly, the volume provides a basis for dialogue across multiple research communities engaged in collaborative work to address these pressing issues.
