Experiences Of Learning And Teaching Mathematics

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Experiences Of Learning And Teaching Mathematics

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Author : Shaileigh Page
language : en
Publisher:
Release Date : 2010

Experiences Of Learning And Teaching Mathematics written by Shaileigh Page and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.

This paper originates from a larger qualitative study exploring how teachers incorporate the affective domain into the primary mathematics classroom. This paper analyses teacher's experiences of mathematics and explores, using activity theory, how these experiences impact their teaching. An important factor to emerge from the data was teacher's own experiences learning mathematics and how this shaped their mathematical identity. (Contains 1 figure.) [For the complete proceedings, "Shaping the Future of Mathematics Education. Proceedings of the Annual Conference of the Mathematics Education Research Group of Australasia (33rd, Freemantle, Western Australia, Australia, July 3-7, 2010)," see ED520764.].

Learning To Teach Mathematics In The Secondary School

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Author : Sue Johnston-Wilder
language : en
Publisher: Psychology Press
Release Date : 2005

Learning To Teach Mathematics In The Secondary School written by Sue Johnston-Wilder and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Education categories.

This text covers a wide range of issues in the teaching of mathematics and importantly, provides supporting activities to the student to enable them to translate theory into practice.

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.

Learning Experiences To Promote Mathematics Learning Yearbook 2014 Association Of Mathematics Educators

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Author : Pee Choon Toh
language : en
Publisher: World Scientific
Release Date : 2014-05-27

Learning Experiences To Promote Mathematics Learning Yearbook 2014 Association Of Mathematics Educators written by Pee Choon Toh and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-27 with Mathematics categories.

This sixth volume, in the series of yearbooks by the Association of Mathematics Educators in Singapore, entitled Learning Experiences to Promote Mathematics Learning is unique in that it focuses on a single theme in mathematics education. The objective is for teachers and researchers to advance the learning of mathematics through meaningful experiences.Several renowned international and Singapore scholars have published their work in this volume. The fourteen 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 broad themes, namely fundamentals for active and motivated learning, learning experiences for developing mathematical processes, and use of ICT tools for learning through visualizations, simulations and representations, shape the ideas in these chapters. The book makes a significant contribution towards the learning of mathematics. It is a good resource for mathematics teachers, educators and research students.

Experiencing School Mathematics

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Author : Jo Boaler
language : en
Publisher: Routledge
Release Date : 2002-12-18

Experiencing School Mathematics written by Jo Boaler and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-18 with Education categories.

NORTH AMERICAN RIGHTS ONLY: This is a revised edition of Experiencing School Mathematics first published in 1997 by Open University Press, © Jo Boaler. This revised edition is for sale in North America only. The first book to provide direct evidence for the effectiveness of traditional and reform-oriented teaching methods, Experiencing School Mathematics reports on careful and extensive case studies of two schools that taught mathematics in totally different ways. Three hundred students were followed over three years, providing an unusual and important range of data, including observations, interviews, questionnaires, and assessments, to show the ways students' beliefs and understandings were shaped by the different approaches to mathematics teaching. The interviews that are reproduced in the book give compelling insights into what it meant to be a student in the classrooms of the two schools. Questions are raised about and new evidence is provided for: * the ways in which "traditional" and "reform oriented" mathematics teaching approaches can impact student attitude, beliefs, and achievement; *the effectiveness of different teaching methods in preparing students for the demands of the "real world" and the 21st century; *the impact of tracking and heterogeneous ability grouping; and *gender and teaching styles--the potential of different teaching approaches for the attainment of equity. The book draws some radical new conclusions about the ways that traditional teaching methods lead to limited forms of knowledge that are ineffective in non-school settings. This edition has been revised for the North American market to show the relevance of the study results in light of the U.S. reform movement, the "math wars" and debates about teachers, assessment, and tracking. The details of the study have been rewritten for an American audience and the results are compared with research conducted in the U.S. This is an important volume for mathematics teachers and researchers, education policymakers, and for students in mathematics education courses. NOTE: This is a revised edition of Experiencing School Mathematics first published in 1997 by Open University Press, © Jo Boaler. This revised edition is for sale in North America only.

Succeeding At Teaching Mathematics K 6

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Author : Julie Sliva Spitzer
language : en
Publisher: Corwin Press
Release Date : 2007-12-06

Succeeding At Teaching Mathematics K 6 written by Julie Sliva Spitzer and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-06 with Education categories.

This invaluable resource helps beginning educators focus on the big ideas in teaching mathematics and promote student engagement.

Learning Experiences To Promote Mathematics Learning

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Author : Pee Choon Toh
language : en
Publisher:
Release Date : 2014

Learning Experiences To Promote Mathematics Learning written by Pee Choon Toh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.

This sixth volume, in the series of yearbooks by the Association of Mathematics Educators in Singapore, entitled Learning Experiences to Promote Mathematics Learning is unique in that it focuses on a single theme in mathematics education. The objective is for teachers and researchers to advance the learning of mathematics through meaningful experiences.Several renowned international and Singapore scholars have published their work in this volume. The fourteen 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 broad themes, namely fundamentals for active and motivated learning, learning experiences for developing mathematical processes, and use of ICT tools for learning through visualizations, simulations and representations, shape the ideas in these chapters. The book makes a significant contribution towards the learning of mathematics. It is a good resource for mathematics teachers, educators and research students.

Teaching Mathematics In The Visible Learning Classroom Grades 3 5

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Author : John Almarode
language : en
Publisher: Corwin Press
Release Date : 2019-02-13

Teaching Mathematics In The Visible Learning Classroom Grades 3 5 written by John Almarode and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-13 with Education categories.

It could happen in the morning during homework review. Or perhaps it happens when listening to students as they struggle through a challenging problem. Or maybe even after class, when planning a lesson. At some point, the question arises: How do I influence students′ learning—what’s going to generate that light bulb "aha" moment of understanding? In this sequel to the megawatt best seller Visible Learning for Mathematics, John Almarode, Douglas Fisher, Nancy Frey, John Hattie, and Kateri Thunder help you answer that question by showing how Visible Learning strategies look in action in the mathematics classroom. Walk in the shoes of elementary school teachers as they engage in the 200 micro-decisions-per-minute needed to balance the strategies, tasks, and assessments seminal to high-impact mathematics instruction. Using grade-leveled examples and a decision-making matrix, you’ll learn to Articulate clear learning intentions and success criteria at surface, deep, and transfer levels Employ evidence to guide students along the path of becoming metacognitive and self-directed mathematics achievers Use formative assessments to track what students understand, what they don’t, and why Select the right task for the conceptual, procedural, or application emphasis you want, ensuring the task is for the right phase of learning Adjust the difficulty and complexity of any task to meet the needs of all learners It’s not only what works, but when. Exemplary lessons, video clips, and online resources help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.

Engaging In Mathematics In The Classroom

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Author : Alf Coles
language : en
Publisher: Routledge
Release Date : 2015-07-30

Engaging In Mathematics In The Classroom written by Alf Coles and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-30 with Education categories.

What comes first, class management or student engagement? How can the ‘real world’ be used to engage learners? What is the role of technology in engaging students? And is ‘understanding’ or ‘exam success’ more engaging? In the modern world, success in school mathematics can determine life chances. It is therefore vital to engage children and young people in learning mathematics. Engaging in Mathematics in the Classroom brings together the debates concerning mathematical engagement and draws on first-hand experience and key research to promote successful classroom practice. It considers what engagement looks like at different ages and the implications of this for the classroom. Accessibly written with examples of successful classroom practice, activities and projects, the book covers: Planning and managing engagement in learning; Mathematical understandings and meanings; Early Primary and the number system; Primary/Secondary Transition and geometrical thinking; Secondary school: Adolescence and algebraic activity; Post-16 and infinity; Learning across the lifespan. Written by a leading authority in the field, this timely text will be essential reading for all trainee and practising teachers of mathematics.

Learning And Teaching Early Math

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Author : Douglas H. Clements
language : en
Publisher: Routledge
Release Date : 2014-05-23

Learning And Teaching Early Math written by Douglas H. Clements and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-23 with Education categories.

In this important book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose a child’s level of mathematical understanding and provide guidance for teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying levels of knowledge exhibited by individual students, which in turn allows them to better meet the learning needs of all children. Using straightforward, no-nonsense language, this book summarizes the current research about how children learn mathematics, and how to build on what children already know to realize more effective teaching. This second edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become quintessential professionals. Updates to the new edition include: • Explicit connections between Learning Trajectories and the new Common Core State Standards. • New coverage of patterns and patterning. • Incorporation of hundreds of recent research studies.