Pattern In The Teaching And Learning Of Mathematics
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Pattern In The Teaching And Learning Of Mathematics
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Author : Anthony Orton
language : en
Publisher: A&C Black
Release Date : 2004-10-01
Pattern In The Teaching And Learning Of Mathematics written by Anthony Orton and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-01 with Education categories.
This highly illustrated book draws together the wide variety of studies in the learning of mathematics undertaken by the Pattern in Mathematics Research Group at the University of Leeds. Their purpose has been '... to provide structure and support to ... studies of children's perception, conception and use of pattern in learning mathematics'. Set up in 1992, they have embraced work across the whole curriculum, and through all the years of compulsory schooling. As each chapter of this book relates to a different study that was undertaken, the reader can dip in and select relevant material. At the same time, the editor has ensured continuity and progression, allowing the book to be approached as a whole: the early chapters are concerned with very young children; subsequent chapters deal with the primary and middle age ranges, and later ones relate to secondary school work. With individual chapters relating to number, algebra, shape, graphic relations and probability, this new volume provides guidance for teachers of pupils of all age groups. Patterns in mathematics are of immense importance; this book relates pattern to the teaching of mathematics through all years of school. Practical and original, it is closely tied to the National Curriculum. It is a source of new ideas for mathematic teachers at all levels.
Teaching And Learning Patterns In School Mathematics
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Author : Ferdinand Rivera
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-07-08
Teaching And Learning Patterns In School Mathematics written by Ferdinand Rivera and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-08 with Education categories.
This book synthesizes research findings on patterns in the last twenty years or so in order to argue for a theory of graded representations in pattern generalization. While research results drawn from investigations conducted with different age-level groups have sufficiently demonstrated varying shifts in structural awareness and competence, which influence the eventual shape of an intended generalization, such shifts, however, are not necessarily permanent due to other pertinent factors such as the complexity of patterning tasks. The book proposes an alternative view of pattern generalization, that is, one that is not about shifts or transition phases but graded depending on individual experiences with target patterns. The theory of graded representations involving pattern generalization offers a much more robust understanding of differences in patterning competence since it is sensitive to varying levels of entry into generalization. Empirical evidence will be provided to demonstrate this alternative view, which is drawn from the author’s longitudinal work with elementary and middle school children, including several investigations conducted with preservice elementary majors. Two chapters of the book will be devoted to extending pattern generalization activity to arithmetic and algebraic learning of concepts and processes. The concluding chapter addresses the pedagogical significance of pattern learning in the school mathematics curriculum.
Pattern In The Teaching And Learning Of Mathematics
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Author : Anthony Orton
language : en
Publisher: Continuum
Release Date : 2004-10-01
Pattern In The Teaching And Learning Of Mathematics written by Anthony Orton and has been published by Continuum this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-01 with Education categories.
This highly illustrated book draws together the wide variety of studies in the learning of mathematics undertaken by the Pattern in Mathematics Research Group at the University of Leeds. Their purpose has been '... to provide structure and support to ... studies of children's perception, conception and use of pattern in learning mathematics'. Set up in 1992, they have embraced work across the whole curriculum, and through all the years of compulsory schooling. As each chapter of this book relates to a different study that was undertaken, the reader can dip in and select relevant material. At the same time, the editor has ensured continuity and progression, allowing the book to be approached as a whole: the early chapters are concerned with very young children; subsequent chapters deal with the primary and middle age ranges, and later ones relate to secondary school work. With individual chapters relating to number, algebra, shape, graphic relations and probability, this new volume provides guidance for teachers of pupils of all age groups. Patterns in mathematics are of immense importance; this book relates pattern to the teaching of mathematics through all years of school. Practical and original, it is closely tied to the National Curriculum. It is a source of new ideas for mathematic teachers at all levels.
Mathematics As The Science Of Patterns
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Author : Patrick M. Jenlink
language : en
Publisher: Information Age Publishing
Release Date : 2022-02-11
Mathematics As The Science Of Patterns written by Patrick M. Jenlink and has been published by Information Age Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-11 with Education categories.
This book explores the role of patterns in teaching mathematics, emphasizing their importance in helping students understand and enjoy math. It highlights the need for teacher development to improve student learning and discusses how recognizing patterns aids in generalization and abstraction, essential skills in mathematics education.
Patterns In Mathematics Classroom Interaction
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Author : Jenni Ingram
language : en
Publisher: Oxford University Press
Release Date : 2021-03-01
Patterns In Mathematics Classroom Interaction written by Jenni Ingram and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-01 with Mathematics categories.
Classroom interaction has a significant influence on teaching and learning. It is through interaction that we solve problems, build ideas, make connections and develop our understanding. Patterns in Mathematics Classroom Interaction describes, exemplifies and considers the implications of patterns and structures of mathematics classroom interaction. Drawing on a Conversation Analytic approach, the book examines how the structures of interactions between teachers and students influence, enable, and constrain the mathematics that students are experiencing and learning in school. In particular, it considers the handling of difficulties or errors and the consequences on both the mathematics students are learning, and the learning of this mathematics. The various roles of silence and the treatment of knowledge and understanding within everyday classroom interactions also reveal the nature of mathematics as it is taught in different classrooms. Examples of students explaining, reasoning and justifying as they interact are also drawn upon to examine how the structures of classroom interaction support students to develop these discursive practices. The approach taken in Patterns in Mathematics Classroom Interaction enables the identification of not only what structures exist and pervade classroom discourse, but also how these structures influence teaching and learning. It is the understanding of how these structures affect students' experiences in the classroom that permits the use and development of practices that can support students' learning. This reflexive relationship between these structures of interactions and student actions and learning is central to the issues explored in this book, alongside the implications these may have for teachers' practice, and students' learning.
How Chinese Learn Mathematics
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Author : Lianghuo Fan
language : en
Publisher: World Scientific
Release Date : 2004
How Chinese Learn Mathematics written by Lianghuo Fan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
The book has been written by an international group of very activeresearchers and scholars who have a passion for the study of Chinesemathematics education. It aims to provide readers with a comprehensiveand updated picture of the teaching and learning of mathematicsinvolving Chinese students from various perspectives, including theways in which Chinese students learn mathematics in classrooms, schools and homes, the influence of the cultural and socialenvironment on Chinese students'' mathematics learning, and thestrengths and weaknesses of the ways in which Chinese learnmathematics
Patterns Around Us
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Author : Tony Hyland
language : en
Publisher: Teacher Created Materials
Release Date : 2008-10-10
Patterns Around Us written by Tony Hyland and has been published by Teacher Created Materials this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-10 with Juvenile Nonfiction categories.
Patterns are everywhere around us. They can be found in nature on plants, animals, and rocks, as well as man-made patterns in art, fashion, and architecture. Apply your knowledge of patterns as you study amazing geometric and number patterns. You'll even learn about the Fibonacci sequence of numbers! With vibrant photos, math charts and diagrams, grade-appropriate text, and informational text features to help navigate the text, students will learn practical, real-world applications of math skills as they learn number patterns and build their STEM skills.
Learning And Teaching Mathematics 0 8
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Author : Helen Taylor
language : en
Publisher: SAGE
Release Date : 2013-11-14
Learning And Teaching Mathematics 0 8 written by Helen Taylor and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-14 with Education categories.
′What a super book! It is absolutely packed with practical ideas and activities to help you love maths, and love teaching and/or learning it. It certainly helps to develop an enthusiasm for a subject most adults tend to say "I′m no good at..."′ - Early Years Educator ‘A wonderful book, packed with practical ideas and activities to help all students love maths.’ - Jo Boaler, Professor of Mathematics Education, Stanford University Fostering an enthusiasm for mathematics in young children is a vital part of supporting their mathematical development. Underpinned by subject and pedagogical knowledge, case studies and research-based perspectives, the authors provide clear guidance on how to support young children′s learning and understanding in an effective and engaging way. Contemporary approaches to developing essential mathematical learning for young children are explored, including: play, practical activities and talk for mathematics outdoor learning understanding pattern counting, calculation and place value measures and shape problem solving and representing mathematics assessment working with parents. Written for both trainees and practitioners working with children aged 0 to 8 years, including those studying for Early Years and Early Childhood degrees and those on Primary PGCE and Primary Education courses, this book offers mathematical subject knowledge and teaching ideas in one volume. Helen Taylor is Course Leader of PGCE Primary Part-time Mathematics at Canterbury Christ Church University. Andrew Harris is Course Leader of PGCE Modular Mathematics at Canterbury Christ Church University.
Mathematics As The Science Of Patterns
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Author : Patrick M. Jenlink
language : en
Publisher: IAP
Release Date : 2022-02-01
Mathematics As The Science Of Patterns written by Patrick M. Jenlink and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-01 with Education categories.
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.
Patterns In Nature Guided Reading 6 Pack
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Author :
language : en
Publisher: Teacher Created Materials
Release Date : 2019-08-15
Patterns In Nature Guided Reading 6 Pack written by and has been published by Teacher Created Materials this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-15 with Juvenile Nonfiction categories.