Reasoning, Communication and Connections in Mathematics

Reasoning, Communication and Connections in Mathematics PDF Author: Berinderjeet Kaur
Publisher: World Scientific
ISBN: 9814405434
Category : Business & Economics
Languages : en
Pages : 335

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Book Description
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.

Reasoning, Communication and Connections in Mathematics

Reasoning, Communication and Connections in Mathematics PDF Author: Berinderjeet Kaur
Publisher: World Scientific
ISBN: 9814405434
Category : Business & Economics
Languages : en
Pages : 335

Get Book Here

Book Description
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.

Reasoning, Communication And Connections In Mathematics: Yearbook 2012, Association Of Mathematics Educators

Reasoning, Communication And Connections In Mathematics: Yearbook 2012, Association Of Mathematics Educators PDF Author: Berinderjeet Kaur
Publisher: World Scientific
ISBN: 9814405442
Category : Mathematics
Languages : en
Pages : 335

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Book Description
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.

Principles and Standards for School Mathematics

Principles and Standards for School Mathematics PDF Author:
Publisher:
ISBN: 9780873534840
Category : Mathematics
Languages : en
Pages : 20

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Book Description
This easy-to-read summary is an excellent tool for introducing others to the messages contained in Principles and Standards.

Helping Children Learn Mathematics

Helping Children Learn Mathematics PDF 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.

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 PDF Author: Jennifer M. Bay-Williams
Publisher: Corwin
ISBN: 1071818430
Category : Education
Languages : en
Pages : 265

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Book Description
Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.

Developing Mathematical Reasoning in Grades K-12

Developing Mathematical Reasoning in Grades K-12 PDF Author: Lee Stiff
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 304

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Book Description
This book sharpens your view of mathematical reasoning and its development at all grade levels. It reveals the various perspectives about the nature of reasoning. Also, it addresses the many issues and concerns involving mathematical reasoning - how learners reason in mathematics, how communication promotes reasoning, how teachers gather evidence of student reasoning, what curricular approaches can be profitably explored, what can be done to ensure success in developing reasoning, and more. This useful resource lets you dig deep into the topic and offers many ideas useful in your classroom.

The Development of Multiplicative Reasoning in the Learning of Mathematics

The Development of Multiplicative Reasoning in the Learning of Mathematics PDF Author: Guershon Harel
Publisher: SUNY Press
ISBN: 9780791417638
Category : Education
Languages : en
Pages : 448

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Book Description
Two of the most important concepts children develop progressively throughout their mathematics education years are additivity and multiplicativity. Additivity is associated with situations that involve adding, joining, affixing, subtracting, separating and removing. Multiplicativity is associated with situations that involve duplicating, shrinking, stressing, sharing equally, multiplying, dividing, and exponentiating. This book presents multiplicativity in terms of a multiplicative conceptual field (MCF), not as individual concepts. It is presented in terms of interrelations and dependencies within, between, and among multiplicative concepts. The authors share the view that research on the mathematical, cognitive, and instructional aspects of multiplicative concepts must be situated in an MCF framework.

Teaching Students to Communicate Mathematically

Teaching Students to Communicate Mathematically PDF Author: Laney Sammons
Publisher: ASCD
ISBN: 1416625577
Category : Education
Languages : en
Pages : 222

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Book Description
Students learning math are expected to do more than just solve problems; they must also be able to demonstrate their thinking and share their ideas, both orally and in writing. As many classroom teachers have discovered, these can be challenging tasks for students. The good news is, mathematical communication can be taught and mastered. In Teaching Students to Communicate Mathematically, Laney Sammons provides practical assistance for K–8 classroom teachers. Drawing on her vast knowledge and experience as a classroom teacher, she covers the basics of effective mathematical communication and offers specific strategies for teaching students how to speak and write about math. Sammons also presents useful suggestions for helping students incorporate correct vocabulary and appropriate representations when presenting their mathematical ideas. This must-have resource will help you help your students improve their understanding of and their skill and confidence in mathematical communication.

Connections Maths

Connections Maths PDF Author: Ajit Kalra
Publisher: Pascal Press
ISBN: 9781877085604
Category : Juvenile Nonfiction
Languages : en
Pages : 616

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Book Description
Connections Maths 9 Stage 5. 3 / 5. 2 / 5. 1 together with Connection s Maths 10 Stage 5. 3 / 5. 2 /5. 1 provides complete coverage of the out comes for Stage 5. 3 pathway. The outcomes for theStage 5. 2 are covered in Connections Maths 9 Stage 5. 2 / 5. 1 and Connections Maths Stage 10 5. 2 / 5. 1. Features: outcomes at the start of ever y chapter a dynamic full colour design that clearly distinguish es theory, examples, exercises, and features carefully graded e xercises with worked examples and solutions linked to each cart oons offering helpful hints working mathematically strands that are fully integrated. These also feature regularly in challenging secti ons designed as extension material which also contain interesting histor ical and real life context a chapter review to revise and conso lidate learning in each chapter speed skills sections to revise and provide mental arithmetic skills problem solving applicati on strategies with communication and reasoning through an inquiry approa ch a comprehensive Diagnostic test providing a cumulative revi ew of learning in all chapters, cross referenced to each exercise integrated technology activities literacy skills develop lan guage skills relevant to each chapter fully linked icons to acc ompanying CD-ROM The student CD-ROM accompanying this text book can be used at school or at home for further explanation and learni ng. Each CD-ROM contains: interactive diagnostic tex t - perfect revision for all Stage 4 work. The regenerative nature of the program allows for an almost limitless number of varied tests of equal difficulty. This test can be used prior to commencing Stage 5 wor k dynamic geometry activities using WinGeom and Cabri software for student investigations using technology with formatted Exce l spreadsheets full textbook with links to the above

Activating Math Talk

Activating Math Talk PDF Author: Paola Sztajn
Publisher: Corwin Press
ISBN: 1071821571
Category : Education
Languages : en
Pages : 225

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Book Description
Achieve High-Quality Mathematics Discourse With Purposeful Talk Techniques Many mathematics teachers agree that engaging students in high quality discourse is important for their conceptual learning, but successfully promoting such discourse in elementary classrooms—with attention to the needs of every learner—can be a challenge. Activating Math Talk tackles this challenge by bringing practical, math-specific, productive discourse techniques that are applicable to any lesson or curriculum. Framed around 11 student-centered discourse techniques, this research-based book connects purposeful instructional techniques to specific lesson goals and includes a focus on supporting emergent multilingual learners. You will be guided through each technique with Classroom examples of tasks and techniques spanning grades K–5 Reflection moments to help you consider how key ideas relate to your own instruction Classroom vignettes that illustrate the techniques in action and provide opportunities to analyze and prepare for your own implementation Group discussion questions for engaging with colleagues in your professional community Achieving high-quality mathematics discourse is within your reach using the clear-cut techniques that activates your math talk efforts to promote every student’s conceptual learning.