Fundamental Constructs In Mathematics Education
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Fundamental Constructs In Mathematics Education
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Author : John Mason
language : en
Publisher: Psychology Press
Release Date : 2004
Fundamental Constructs In Mathematics Education written by John Mason and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Education categories.
This book brings together a collection of classic tasks, extracts and texts that have been quoted repeatedly in mathematics education literature.
Teaching And Learning Mathematics Through Variation
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Author : Rongjin Huang
language : en
Publisher: Springer
Release Date : 2017-02-06
Teaching And Learning Mathematics Through Variation written by Rongjin Huang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-06 with Education categories.
"Efforts to improve mathematics teaching and learning globally have led to the ever-increasing interest in searching for alternative and effective instructional approaches from others. Students from East Asia, such as China and Japan, have consistently outperformed their counterparts in the West. Yet, Bianshi Teaching (teaching with variation) practice, which has been commonly used in practice in China, has been hardly shared in the mathematics education community internationally. This book is devoted to theorizing the Chinese mathematical teaching practice, Bianshi teaching, that has demonstrated its effectiveness over half a century; examining its systematic use in classroom instruction, textbooks, and teacher professional development in China; and showcasing of the adaptation of the variation pedagogy in selected education systems including Israel, Japan, Sweden and the US. This book has made significant contributions to not only developing the theories on teaching and learning mathematics through variation, but also providing pathways to putting the variation theory into action in an international context.“This book paints a richly detailed and elaborated picture of both teaching mathematics and learning to teach mathematics with variation. Teaching with variation and variation as a theory of learning are brought together to be theorized and exemplified through analysis of teaching in a wide variety of classrooms and targeting both the content and processes of mathematical thinking. Highly recommended.” – Kaye Stacey, Emeritus Professor of Mathematics Education, University of Melbourne, Australia “Many teachers in England are excited by the concept of teaching with variation and devising variation exercises to support their pupils’ mastery of mathematics. However, fully understanding and becoming proficient in its use takes time. This book provides a valuable resource to deepen understanding through the experiences of other teachers shared within the book and the insightful reflections of those who have researched this important area. – Debbie Morgan, Director for Primary Mathematics, National Centre for Excellence in the Teaching of Mathematics, United Kingdom"
Mathematicians Reflections On Teaching
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Author : Sepideh Stewart
language : en
Publisher: Springer Nature
Release Date : 2023-08-07
Mathematicians Reflections On Teaching written by Sepideh Stewart and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-07 with Education categories.
This book opens the case on collaboration among mathematicians and mathematics educators. The authors of this book provide their research and experience based insights on collaboration to inspire the young generation of the mathematics community to engage in productive collaborations and exchange of knowledge early in their careers. These valuable collaborations are anticipated to generate innovative research questions that set new and novel paths for mathematics education research with ample possibilities yet to be realized and discovered.
Mathematical Encounters And Pedagogical Detours
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Author : Boris Koichu
language : en
Publisher: Springer Nature
Release Date : 2021-02-04
Mathematical Encounters And Pedagogical Detours written by Boris Koichu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-04 with Education categories.
This book explores the idea that mathematics educators and teachers are also problem solvers and learners, and as such they constantly experience mathematical and pedagogical disturbances. Accordingly, many original tasks and learning activities are results of personal mathematical and pedagogical disturbances of their designers, who then transpose these disturbances into learning opportunities for their students. This learning-transposition process is a cornerstone of mathematics teacher education as a lived, developing enterprise. Mathematical Encounters and Pedagogical Detours unfold the process and illustrate it by various examples. The book engages readers in original tasks, shares the results of task implementation and describes how these results inform the development of new tasks, which often intertwine mathematics and pedagogy. Most importantly, the book includes a dialogue between the authors based on the stories of their own learning, which triggers continuous exploration of learning opportunities for their students.
The Future Of Educational Research
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Author : Noleine Fitzallen
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-04-03
The Future Of Educational Research written by Noleine Fitzallen 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 2014-04-03 with Education categories.
The Future of Educational Research: Perspectives from Beginning Researchers provides a snapshot of research across a diversity of fields in education conducted by beginning researchers. The five main sections of the book cover research into policy and curriculum, teachers’ experiences, educational technologies, the teaching and learning of mathematics, and literacy development. The chapters make valuable contributions to knowledge of contemporary issues in education. They illustrate research topics and methodologies that will underpin and provoke future research, and demonstrate the potential of these beginning researchers to become leaders in their chosen fields of educational research. The chapters also demonstrate the breadth of research topics being undertaken in educational research today. For supervisors and research higher degree students the book provides samples of research higher degree student writing that not only exemplify approaches to presenting research but also support the value of publication at all stages of study.
Mathematical Tasks The Bridge Between Teaching And Learning
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Author : Chris McGrane
language : en
Publisher: Hachette UK
Release Date : 2020-10-01
Mathematical Tasks The Bridge Between Teaching And Learning written by Chris McGrane and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-01 with Education categories.
If we want our pupils to develop fluency, understanding and the ability to solve complex problems, then it is vital that teachers develop the ability to select, adapt and design appropriate mathematical tasks. In 'Mathematical Tasks: The Bridge Between Teaching and Learning', Chris McGrane and Mark McCourt a range of practical approaches, strategies and principles behind the design and effective use of tasks in the mathematics classroom that lead to all pupils becoming successful learners. First-hand interviews with world class mathematics education experts and practicing teachers bring to life the ideas behind how tasks can act as a bridge between what the teacher wants the pupil to make sense of and what the pupil actually does makes sense of; tasks are how we enable pupils to enact mathematics - it is only by being mathematical that pupils can truly make connections across mathematical ideas and understand the bigger picture. This is a book for classroom teachers. Chris McGrane offers a range of practical examples for nurturing deep learning in mathematics that can be adapted and embedded in one's own classroom practice. This is also a book for those who are interested in the theory behind tasks. Chris and his interviewees examine the key role tasks play in shaping learning, teaching, curriculum and assessment. Suitable for teachers at all stages in their careers and teachers are encouraged to return to the book from time to time over the years to notice how their use of tasks in the classroom changes as they themselves develop.
Teaching Mathematics In The Secondary School
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Author : Paul Chambers
language : en
Publisher: SAGE
Release Date : 2019-02-25
Teaching Mathematics In The Secondary School written by Paul Chambers and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-25 with Education categories.
This fully updated third edition looks at the fundamentals of mathematics teaching, how to plan lessons and assess learning, and how to promote an inclusive approach in the classroom. Key new features include: Updated content reflecting: the 2014 National Curriculum in England, the Teachers′ Standards and revised requirements for GCSE and A level mathematics Updated ′Evidence from research′ features, highlighting developments in the field An expanded section on mathematical misconceptions New coverage on teaching for mastery.
Mathematical Challenges For All
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Author : Roza Leikin
language : en
Publisher: Springer Nature
Release Date : 2023-03-17
Mathematical Challenges For All written by Roza Leikin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-17 with Education categories.
This book argues that mathematical challenge can be found at any level and at every age and constitutes an essential characteristic of any mathematics classroom aimed at developing the students’ mathematical knowledge and skills. Since each mathematics classroom is heterogeneous with respect to students’ mathematical potential, quality mathematical instruction results from matching the level of mathematical challenge to different students’ potential. Thus, effective integration of mathematical challenge in the instructional process is strongly connected to the equity principle of mathematics education. In the three sections in this volume readers can find diverse views on mathematical challenges in curriculum and instructional design, kinds and variation of mathematically challenging tasks and collections of mathematical problems. Evidence-based analysis is interwoven with theoretical positions expressed by the authors of the chapters. Cognitive, social and affective characteristics of challenging mathematical activities are observed and analyzed. The volume opens new avenues of research in mathematics education, and pose multiple questions about mathematical instruction rich in mathematical challenge for all. The authors invite readers to explore and enjoy mathematical challenges at different levels.
The Best Writing On Mathematics 2011
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Author : Mircea Pitici
language : en
Publisher: Princeton University Press
Release Date : 2012
The Best Writing On Mathematics 2011 written by Mircea Pitici and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
The year's finest writing on mathematics from around the world This anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2011 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Ian Hacking discusses the salient features that distinguish mathematics from other disciplines of the mind; Doris Schattschneider identifies some of the mathematical inspirations of M. C. Escher's art; Jordan Ellenberg describes compressed sensing, a mathematical field that is reshaping the way people use large sets of data; Erica Klarreich reports on the use of algorithms in the job market for doctors; and much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a foreword by esteemed physicist and mathematician Freeman Dyson. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.
Problem Solving In Mathematics Instruction And Teacher Professional Development
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Author : Patricio Felmer
language : en
Publisher: Springer Nature
Release Date : 2019-11-22
Problem Solving In Mathematics Instruction And Teacher Professional Development written by Patricio Felmer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-22 with Education categories.
Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the role of teachers in problem-solving classrooms and their professional development, moving onto—secondly—the role of students when solving problems, with particular consideration of factors like group work, discussion, role of students in discussions and the effect of students’ engagement on their self-perception and their view of mathematics. Finally, the book considers the question of problem solving in mathematics instruction as it overlaps with problem design, problem-solving situations, and actual classroom implementation. The volume brings together diverse contributors from a variety of countries and with wide and varied experiences, combining the voices of leading and developing researchers. The book will be of interest to any reader keeping on the frontiers of research in problem solving, more specifically researchers and graduate students in mathematics education, researchers in problem solving, as well as teachers and practitioners.