Handbook of International Research in Mathematics Education


Book Description

The second edition continues the mission of bringing together important new mathematics education research that makes a difference in both theory and practice. It updates and extends the Handbook’s original key themes and issues for international research in mathematics education for the 21st century, namely: priorities in international mathematics education research lifelong democratic access to powerful mathematical ideas advances in research methodologies influences of advanced technologies. Each of these themes is examined in terms of learners, teachers, and learning contexts, with theory development being an important component of all these aspects. This edition also examines other catalysts that have gained increased import in recent years including a stronger focus on the teacher and teacher practice, a renewed interest in theory development, an increased focus on the mathematics needed in work place settings, and a proliferation of research designs and methodologies that have provided unprecedented opportunities for investigating (and ultimately improving) mathematical teaching and learning. This edition includes ten totally new chapters; all other chapters are thoroughly revised and updated.




Constructing Mathematical Knowledge


Book Description

First published in 1994. This book and its companion volume, Mathematics, Education and Philosophy: An International Perspective are edited collections. Instead of the sharply focused concerns of the research monograph, the books offer a panorama of complementary and forward-looking perspectives. They illustrate the breadth of theoretical and philosophical perspectives that can fruitfully be brough to bear on the mathematics and education. The empathise of this book is on epistemological issues, encompassing multiple perspectives on the learning of mathematics, as well as broader philosophical reflections on the genesis of knowledge. It explores constructivist and social theories of learning and discusses the rile of the computer in light of these theories.




Number Theory in Mathematics Education


Book Description

This book offers multiple interconnected perspectives on the largely untapped potential of elementary number theory for mathematics education: its formal and cognitive nature, its relation to arithmetic and algebra, its accessibility, its utility and intrinsic merits, to name just a few. Its purpose is to promote explication and critical dialogue about these issues within the international mathematics education community. The studies comprise a variety of pedagogical and research orientations by an international group of researchers that, collectively, make a compelling case for the relevance and importance of number theory in mathematics education in both pre K-16 settings and mathematics teacher education. Topics variously engaged include: *understanding particular concepts related to numerical structure and number theory; *elaborating on the historical and psychological relevance of number theory in concept development; *attaining a smooth transition and extension from pattern recognition to formative principles; *appreciating the aesthetics of number structure; *exploring its suitability in terms of making connections leading to aha! insights and reaching toward the learner's affective domain; *reexamining previously constructed knowledge from a novel angle; *investigating connections between technique and theory; *utilizing computers and calculators as pedagogical tools; and *generally illuminating the role number theory concepts could play in developing mathematical knowledge and reasoning in students and teachers. Overall, the chapters of this book highlight number theory-related topics as a stepping-stone from arithmetic toward generalization and algebraic formalism, and as a means for providing intuitively grounded meanings of numbers, variables, functions, and proofs. Number Theory in Mathematics Education: Perspectives and Prospects is of interest to researchers, teacher educators, and students in the field of mathematics education, and is well suited as a text for upper-level mathematics education courses.




Culturally Responsive Mathematics Education


Book Description

This critical new collection presents mathematics education from a culturally responsive perspective and offers a broad perspective of mathematics as a significant, liberating intellectual force in our society.




Mathematics Teaching In Singapore - Volume 1: Theory-informed Practices


Book Description

This book series will provide readers with the landscape of mathematics teaching practices in Singapore classroom. In this first book of the series, Theory-Informed Practices, the book will have a collection of teachers' classroom practices that are informed by theory. It will provide classroom exemplars of how teachers make use of theories to inform their practices to better cater to the needs of the learners. This book which targets at the practitioners is written in a way that help the practitioners to be better in consuming and applying such efforts in the own classrooms. It provides the interested readers not only the landscape but also the spectrum of pedagogical approaches and strategies that are theoretically informed and adopted by the Singapore mathematics teachers. This book is written by expert teachers for teachers. It will also be of interest to graduate students, mathematics educators and the international mathematics education community who are looking for greater insights to the Singapore mathematics classrooms.




Reconceiving Writing, Rethinking Writing Instruction


Book Description

To a degree unknown in practically any other discipline, the pedagogical space afforded composition is the institutional engine that makes possible all other theoretical and research efforts in the field of rhetoric and writing. But composition has recently come under attack from many within the field as fundamentally misguided. Some of these critics have been labelled "New Abolitionists" for their insistence that compulsory first-year writing should be abandoned. Not limiting itself to first-year writing courses, this book extends and modifies calls for abolition by taking a closer look at current theoretical and empirical understandings of what contributors call "general writing skills instruction" (GWSI): the curriculum which an overwhelming majority of writing instructors is paid to teach, that practically every composition textbook is written to support, and the instruction for which English departments are given resources to deliver. The vulnerability of GWSI is hardly a secret among writing professionals and its intellectual fragility has been felt for years and manifested in several ways: * in persistently low status of composition as a study both within and outside of English departments; * in professional journal articles and conference presentations that are growing both in theoretical sophistication and irrelevance to the composition classroom; and * in the rhetoric and writing field's ever-increasing attention to nontraditional sites of writing behavior. But, to date, there has been relatively little concerted discussion within the writing field that focuses specifically on the fundamentally awkward relationship of writing theory and writing instruction. This volume is the first to explicitly focus on the gap in the theory and practice that has emerged as a result of the field's growing professionalization. The essays anthologized offer critiques of GWSI in light of the discipline's growing understanding of the contexts for writing and their rhetorical nature. Writing from a wide range of cognitivist, critical-theoretical, historical, linguistic and philosophical perspectives, contributors call into serious question basic tenets of contemporary writing instruction and provide a forum for articulating a sort of zeitgeist that seems to permeate many writing conferences, but which has, until recently, not found a voice or a name.




Mathematics Education in Brazil


Book Description

This book presents, for the first time in English, the state of the art of Mathematics Education research in Brazil, a country that has the strongest community in this field in Latin America. Edited by leading researchers in the area, the volume provides the international academic community a summary of the scientific production of the thirteen working groups of the Brazilian Society of Mathematics Education (SBEM), the national scientific society that brings together researchers, teachers, students and other professionals of the area. These working groups meet every three years at the International Seminar of Mathematics Education (SIPEM) and cover the following topics: Mathematics Education in the Early Years and Primary Education (Y1-Y5); Mathematics Education in the Middle School (Y6-Y9); Mathematics Education in the High School (Y10-Y12); Mathematics Education at the University level; History of Mathematics, Culture and Mathematics Education; Digital Technologies and Distance Education; Teacher Education; Assessment and Mathematics Education; Cognitive and Linguistic Processes in Mathematics Education; Mathematical Modeling; Philosophy of Mathematics Education, Teaching Probability and Statistics; and Difference, Inclusion and Mathematics Education. Each chapter of the book presents an overview of the production of a working group and they are all preceded by an introduction by professor Ubiratan D’Ambrosio, one of the pioneers of Mathematics Education in Brazil.




Teaching Mathematics in Grades 6 - 12


Book Description

Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a "researcher—constantly experimenting with methods for developing students' mathematical thinking—and connecting this research to practices that enhance students' understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies.




Numeracy and Learning Difficulties


Book Description

By understanding why children struggle with maths, teachers are better equipped to provide effective support and nurture confidence in low-achievers. Numeracy and Learning Difficulties includes how to tackle common learning difficulties by following different teaching practices and principles, identifying gaps in students' knowledge and developing curricula that bridges these gaps, improves numerical literacy using problem-solving strategies and skills, and a handy checklist of benchmarks in achievement.




Using History to Teach Mathematics


Book Description

This volume examines how the history of mathematics can find application in the teaching of mathematics itself.