Author: Marelize Barnard
Publisher:
ISBN: 9781316611418
Category : Mathematics
Languages : en
Pages : 0
Book Description
Cambridge Mental Maths Grade 8
Author: Marelize Barnard
Publisher:
ISBN: 9781316611418
Category : Mathematics
Languages : en
Pages : 0
Book Description
Publisher:
ISBN: 9781316611418
Category : Mathematics
Languages : en
Pages : 0
Book Description
Psychological Studies in the Teaching, Learning and Assessment of Mathematics
Author: Yiming Cao
Publisher: Frontiers Media SA
ISBN: 2832546900
Category : Science
Languages : en
Pages : 408
Book Description
There is no doubt that the onset of a new decade has brought high expectations of academic progress for scholars, especially for researchers in mathematics education. The International Group for the Psychology of Mathematics Education was born in 1976, which focused on the international exchange of knowledge in the psychology of mathematics education, the promotion of interdisciplinary research with psychologists, mathematicians and mathematics teachers, and the development of the psychological aspects of teaching and learning mathematics and its implications.
Publisher: Frontiers Media SA
ISBN: 2832546900
Category : Science
Languages : en
Pages : 408
Book Description
There is no doubt that the onset of a new decade has brought high expectations of academic progress for scholars, especially for researchers in mathematics education. The International Group for the Psychology of Mathematics Education was born in 1976, which focused on the international exchange of knowledge in the psychology of mathematics education, the promotion of interdisciplinary research with psychologists, mathematicians and mathematics teachers, and the development of the psychological aspects of teaching and learning mathematics and its implications.
(Free version) Abacus & Mental Arithmetic Course Book
Author: Mathewmatician
Publisher: Mathewmatician
ISBN:
Category : Education
Languages : en
Pages : 25
Book Description
All four arithmetic examples and exercises are provided with detailed and smooth versions of video teaching It is suitable to - Children with strong self-learning ability - Parents who train their children on their own - Kindergarten or Primary school teacher - Students majoring in early childhood education or elementary education in universities and colleges - Those who are interested in becoming an abacus and mental arithmetic teacher or are interested in running an abacus and mental arithmetic class
Publisher: Mathewmatician
ISBN:
Category : Education
Languages : en
Pages : 25
Book Description
All four arithmetic examples and exercises are provided with detailed and smooth versions of video teaching It is suitable to - Children with strong self-learning ability - Parents who train their children on their own - Kindergarten or Primary school teacher - Students majoring in early childhood education or elementary education in universities and colleges - Those who are interested in becoming an abacus and mental arithmetic teacher or are interested in running an abacus and mental arithmetic class
Automorphic Forms and Applications
Author: Peter Sarnak
Publisher: American Mathematical Soc.
ISBN: 0821828738
Category : Mathematics
Languages : en
Pages : 443
Book Description
The theory of automorphic forms has seen dramatic developments in recent years. In particular, important instances of Langlands functoriality have been established. This volume presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their applications. It addresses some of the general aspects of automorphic forms, as well as certain recent advances in the field. The book starts with the lectures of Borel on the basic theory of automorphic forms, which lay the foundation for the lectures by Cogdell and Shahidi on converse theorems and the Langlands-Shahidi method, as well as those by Clozel and Li on the Ramanujan conjectures and graphs. The analytic theory of GL(2)-forms and $L$-functions are the subject of Michel's lectures, while Terras covers arithmetic quantum chaos. The volume also includes a chapter by Vogan on isolated unitary representations, which is related to the lectures by Clozel. This volume is recommended for independent study or an advanced topics course. It is suitable for graduate students and researchers interested in automorphic forms and number theory. the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Publisher: American Mathematical Soc.
ISBN: 0821828738
Category : Mathematics
Languages : en
Pages : 443
Book Description
The theory of automorphic forms has seen dramatic developments in recent years. In particular, important instances of Langlands functoriality have been established. This volume presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their applications. It addresses some of the general aspects of automorphic forms, as well as certain recent advances in the field. The book starts with the lectures of Borel on the basic theory of automorphic forms, which lay the foundation for the lectures by Cogdell and Shahidi on converse theorems and the Langlands-Shahidi method, as well as those by Clozel and Li on the Ramanujan conjectures and graphs. The analytic theory of GL(2)-forms and $L$-functions are the subject of Michel's lectures, while Terras covers arithmetic quantum chaos. The volume also includes a chapter by Vogan on isolated unitary representations, which is related to the lectures by Clozel. This volume is recommended for independent study or an advanced topics course. It is suitable for graduate students and researchers interested in automorphic forms and number theory. the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Enriching Your Math Curriculum
Author: Lainie Schuster
Publisher: Math Solutions
ISBN: 1935099027
Category : Education
Languages : en
Pages : 599
Book Description
"Presents practices and routines designed to support and nourish teachers as they prepare and present a meaningful year of mathematics instruction for fifth-grade mathematicians. Offers activities, lessons, and narration that can be easily adapted or adjusted to fit the particular needs of the students or the requirements of a prescribed curriculum"--
Publisher: Math Solutions
ISBN: 1935099027
Category : Education
Languages : en
Pages : 599
Book Description
"Presents practices and routines designed to support and nourish teachers as they prepare and present a meaningful year of mathematics instruction for fifth-grade mathematicians. Offers activities, lessons, and narration that can be easily adapted or adjusted to fit the particular needs of the students or the requirements of a prescribed curriculum"--
Literacy and Learning in the Content Areas
Author: Sharon Kane
Publisher: Routledge
ISBN: 1351206893
Category : Education
Languages : en
Pages : 845
Book Description
The Fourth Edition of Literacy and Learning in the Content Areas: Enhancing Knowledge in the Disciplines provides readers with the knowledge, motivation, tools, and confidence for integrating literacy in their disciplinary classrooms. Offering an original, literature-based approach to teaching disciplinary literacy, the new edition shares important ways in which teachers of courses in the disciplines can enhance student learning of subject matter and skills while also fostering their growth in the many facets of literacy. Throughout each chapter, Kane provides engaging and creative strategies and activities to make literacy come alive in discipline-specific courses and to encourage students to explore and learn in the classroom. Embedded in each chapter are examples, resources, and strategies to help readers actively engage with and implement literacy practices. These features include Teaching in Action examples by subject area; Activating Prior Knowledge activities to stimulate critical thinking to prepare readers to learn complex theoretical and conceptual material about teaching, learning, and literacy; and end-of-chapter Application Activities to apply field experiences to classroom use. New to the Fourth Edition Every chapter of this new edition is updated to reflect the current approaches, standards, and benchmarks for discipline-specific literacy. Enhanced Companion Website with BookTalks to introduce relevant books in many genres and subjects, encouraging readers to explore the books for themselves and providing a model for BookTalks in their own classrooms. Expanded practical instructional strategies for teaching literacy in math, science, and social studies. Updated to include newly published titles in children’s literature, young adult literature, and nonfiction.
Publisher: Routledge
ISBN: 1351206893
Category : Education
Languages : en
Pages : 845
Book Description
The Fourth Edition of Literacy and Learning in the Content Areas: Enhancing Knowledge in the Disciplines provides readers with the knowledge, motivation, tools, and confidence for integrating literacy in their disciplinary classrooms. Offering an original, literature-based approach to teaching disciplinary literacy, the new edition shares important ways in which teachers of courses in the disciplines can enhance student learning of subject matter and skills while also fostering their growth in the many facets of literacy. Throughout each chapter, Kane provides engaging and creative strategies and activities to make literacy come alive in discipline-specific courses and to encourage students to explore and learn in the classroom. Embedded in each chapter are examples, resources, and strategies to help readers actively engage with and implement literacy practices. These features include Teaching in Action examples by subject area; Activating Prior Knowledge activities to stimulate critical thinking to prepare readers to learn complex theoretical and conceptual material about teaching, learning, and literacy; and end-of-chapter Application Activities to apply field experiences to classroom use. New to the Fourth Edition Every chapter of this new edition is updated to reflect the current approaches, standards, and benchmarks for discipline-specific literacy. Enhanced Companion Website with BookTalks to introduce relevant books in many genres and subjects, encouraging readers to explore the books for themselves and providing a model for BookTalks in their own classrooms. Expanded practical instructional strategies for teaching literacy in math, science, and social studies. Updated to include newly published titles in children’s literature, young adult literature, and nonfiction.
Mathematical Teaching and Learning
Author: Katherine M. Robinson
Publisher: Springer Nature
ISBN: 303131848X
Category : Education
Languages : en
Pages : 234
Book Description
This book focusses on teaching and learning in elementary and middle school mathematics and suggests practices for teachers to help children be successful mathematical thinkers. Contributions from diverse theoretical and disciplinary perspectives are explored. Topics include the roles of technology, language, and classroom discussion in mathematics learning, the use of creativity, visuals, and teachers’ physical gestures to enhance problem solving, inclusive educational activities to promote children’s mathematics understanding, how learning in the home can enhance children’s mathematical skills, the application of mathematics learning theories in designing effective teaching tools, and a discussion of how students, teachers, teacher educators, and school boards differentially approach elementary and middle school mathematics. This book and its companion, Mathematical Cognition and Understanding, take an interdisciplinary perspective to mathematical learning and development in the elementary and middle school years. The authors and perspectives in this book draw from education, neuroscience, developmental psychology, and cognitive psychology. The book will be relevant to scholars/educators in the field of mathematics education and also those in childhood development and cognition. Each chapter also includes practical tips and implications for parents as well as for educators and researchers.
Publisher: Springer Nature
ISBN: 303131848X
Category : Education
Languages : en
Pages : 234
Book Description
This book focusses on teaching and learning in elementary and middle school mathematics and suggests practices for teachers to help children be successful mathematical thinkers. Contributions from diverse theoretical and disciplinary perspectives are explored. Topics include the roles of technology, language, and classroom discussion in mathematics learning, the use of creativity, visuals, and teachers’ physical gestures to enhance problem solving, inclusive educational activities to promote children’s mathematics understanding, how learning in the home can enhance children’s mathematical skills, the application of mathematics learning theories in designing effective teaching tools, and a discussion of how students, teachers, teacher educators, and school boards differentially approach elementary and middle school mathematics. This book and its companion, Mathematical Cognition and Understanding, take an interdisciplinary perspective to mathematical learning and development in the elementary and middle school years. The authors and perspectives in this book draw from education, neuroscience, developmental psychology, and cognitive psychology. The book will be relevant to scholars/educators in the field of mathematics education and also those in childhood development and cognition. Each chapter also includes practical tips and implications for parents as well as for educators and researchers.
Mathematics as the Science of Patterns
Author: Patrick M. Jenlink
Publisher: IAP
ISBN: 1648027466
Category : Education
Languages : en
Pages : 265
Book Description
Mathematics as the Science of Patterns: Making the Invisible Visible to Students through Teaching introduces the reader to a collection of thoughtful, research-based works by authors that represent current thinking about mathematics, mathematics education, and the preparation of mathematics teachers. Each chapter focuses on mathematics teaching and the preparation of teachers who will enter classrooms to instruct the next generation of students in mathematics. The value of patterns to the teaching and learning of mathematics is well understood, both in terms of research and application. When we involve or appeal to pattern in teaching mathematics, it is usually because we are trying to help students to extract greater meaning, or enjoyment, or both, from the experience of learning environments within which they are occupied, and perhaps also to facilitate remembering. As a general skill it is thought that the ability to discern a pattern is a precursor to the ability to generalize and abstract, a skill essential in the early years of learning and beyond. Research indicates that the larger problem in teaching mathematics does not lie primarily with students; rather it is with the teachers themselves. In order to make changes for students there first needs to be a process of change for teachers. Understanding the place of patterns in learning mathematics is a predicate to understanding how to teach mathematics and how to use pedagogical reasoning necessary in teaching mathematics. Importantly, the lack of distinction created by the pedagogical use of patterns is not immediately problematic to the student or the teacher. The deep-seated cognitive patterns that both teachers and students bring to the classroom require change. Chapter 1 opens the book with a focus on mathematics as the science of patterns and the importance of patterns in mathematical problem solving, providing the reader with an introduction. The authors of Chapter 2 revisit the work of Po lya and the development and implementation of problem solving in mathematics. In Chapter 3, the authors present an argument for core pedagogical content knowledge in mathematics teacher preparation. The authors of Chapter 4 focus on preservice teachers’ patterns of conception as related to understanding number and operation. In Chapter 5 the authors examine the role of visual representation in exploring proportional reasoning, denoting the importance of helping learners make their thinking visible. The authors of Chapter 6 examine patterns and relationships, and the importance of each in assisting students’ learning and development in mathematical understanding. The authors of Chapter 7 examine the use of worked examples as a scalable practice, with emphasis on the importance of worked examples in teaching fraction magnitude and computation is discussed. In Chapter 8, the authors expand on the zone of proximal development to investigate the potential of Zankov’s Lesson in terms of students analyzing numerical equalities. The authors of Chapter 9 focus on high leverage mathematical practices in elementary pre-service teacher preparation, drawing into specific relief the APEX cycle to develop deep thinking. In Chapter 10, the author focuses on number talks and the engagement of students in mathematical reasoning, which provides opportunities for students to be sensemakers of mathematics. Chapter 11 presents an epilogue, focusing on the importance of recognizing the special nature of mathematics knowledge for teaching.
Publisher: IAP
ISBN: 1648027466
Category : Education
Languages : en
Pages : 265
Book Description
Mathematics as the Science of Patterns: Making the Invisible Visible to Students through Teaching introduces the reader to a collection of thoughtful, research-based works by authors that represent current thinking about mathematics, mathematics education, and the preparation of mathematics teachers. Each chapter focuses on mathematics teaching and the preparation of teachers who will enter classrooms to instruct the next generation of students in mathematics. The value of patterns to the teaching and learning of mathematics is well understood, both in terms of research and application. When we involve or appeal to pattern in teaching mathematics, it is usually because we are trying to help students to extract greater meaning, or enjoyment, or both, from the experience of learning environments within which they are occupied, and perhaps also to facilitate remembering. As a general skill it is thought that the ability to discern a pattern is a precursor to the ability to generalize and abstract, a skill essential in the early years of learning and beyond. Research indicates that the larger problem in teaching mathematics does not lie primarily with students; rather it is with the teachers themselves. In order to make changes for students there first needs to be a process of change for teachers. Understanding the place of patterns in learning mathematics is a predicate to understanding how to teach mathematics and how to use pedagogical reasoning necessary in teaching mathematics. Importantly, the lack of distinction created by the pedagogical use of patterns is not immediately problematic to the student or the teacher. The deep-seated cognitive patterns that both teachers and students bring to the classroom require change. Chapter 1 opens the book with a focus on mathematics as the science of patterns and the importance of patterns in mathematical problem solving, providing the reader with an introduction. The authors of Chapter 2 revisit the work of Po lya and the development and implementation of problem solving in mathematics. In Chapter 3, the authors present an argument for core pedagogical content knowledge in mathematics teacher preparation. The authors of Chapter 4 focus on preservice teachers’ patterns of conception as related to understanding number and operation. In Chapter 5 the authors examine the role of visual representation in exploring proportional reasoning, denoting the importance of helping learners make their thinking visible. The authors of Chapter 6 examine patterns and relationships, and the importance of each in assisting students’ learning and development in mathematical understanding. The authors of Chapter 7 examine the use of worked examples as a scalable practice, with emphasis on the importance of worked examples in teaching fraction magnitude and computation is discussed. In Chapter 8, the authors expand on the zone of proximal development to investigate the potential of Zankov’s Lesson in terms of students analyzing numerical equalities. The authors of Chapter 9 focus on high leverage mathematical practices in elementary pre-service teacher preparation, drawing into specific relief the APEX cycle to develop deep thinking. In Chapter 10, the author focuses on number talks and the engagement of students in mathematical reasoning, which provides opportunities for students to be sensemakers of mathematics. Chapter 11 presents an epilogue, focusing on the importance of recognizing the special nature of mathematics knowledge for teaching.
Critical Questions in STEM Education
Author: Valarie L. Akerson
Publisher: Springer Nature
ISBN: 3030576469
Category : Science
Languages : en
Pages : 265
Book Description
This edited volume offers a crosscutting view of STEM and is comprised of work by scholars in science, technology, engineering, and mathematics education. It offers a view of STEM from the disciplines that comprise it, while adhering to the idea that STEM itself is an interdisciplinary treatment of all the associated disciplines in a meaningful way. This book raises and answers questions regarding the meaning of STEM education and research. This volume is divided into three sections: the first one describes the nature of the component disciplines of STEM. The next section presents work from leaders representing all STEM disciplines and deals with aspects such as K-12 and post-secondary education. The last section draws conclusions regarding the natures of the disciplines, challenges and advantages of STEM education in terms of theoretical and practical implications. The two final chapters compile arguments from the research chapters, describing themes in research results, and making recommendations for best STEM education practice, and examining areas for future research in STEM education.
Publisher: Springer Nature
ISBN: 3030576469
Category : Science
Languages : en
Pages : 265
Book Description
This edited volume offers a crosscutting view of STEM and is comprised of work by scholars in science, technology, engineering, and mathematics education. It offers a view of STEM from the disciplines that comprise it, while adhering to the idea that STEM itself is an interdisciplinary treatment of all the associated disciplines in a meaningful way. This book raises and answers questions regarding the meaning of STEM education and research. This volume is divided into three sections: the first one describes the nature of the component disciplines of STEM. The next section presents work from leaders representing all STEM disciplines and deals with aspects such as K-12 and post-secondary education. The last section draws conclusions regarding the natures of the disciplines, challenges and advantages of STEM education in terms of theoretical and practical implications. The two final chapters compile arguments from the research chapters, describing themes in research results, and making recommendations for best STEM education practice, and examining areas for future research in STEM education.
The Development of Mathematical Skills
Author: Chris Donlan
Publisher: Psychology Press
ISBN: 1317715454
Category : Psychology
Languages : en
Pages : 356
Book Description
Cutting edge research from a diverse range of viewpoints Central section dedicated to the arithmetical development of memory.
Publisher: Psychology Press
ISBN: 1317715454
Category : Psychology
Languages : en
Pages : 356
Book Description
Cutting edge research from a diverse range of viewpoints Central section dedicated to the arithmetical development of memory.