Number Theory in Mathematics Education
Number Theory in Mathematics Education

Author: Rina Zazkis

Publisher: Routledge

Published: 2012-10-12

Total Pages: 305

ISBN-13: 1136501363

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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.

Understanding Research in Education
Understanding Research in Education

Author: Fred L. Perry Jr.

Publisher: Routledge

Published: 2014-07-25

Total Pages: 288

ISBN-13: 1317680650

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This text provides a solid introduction to the foundations of research methods, with the goal of enabling students and professionals in the various fields of education to not simply become casual consumers of research who passively read bits and pieces of research articles, but discerning consumers able to effectively use published research for practical purposes in educational settings. All issues important for understanding and using published research for these purposes are covered. Key principles are illustrated with research studies published in refereed journals across a wide spectrum of education. Exercises distributed throughout the text encourage readers to engage interactively with what they are reading at the point when the information is fresh in their minds. This text is designed for higher level undergraduate and graduate programs. Course instructors will find that it provides a solid framework in which to promote student interaction and discussion on important issues in research methodology.

Researching Education
Researching Education

Author: Kanka Mallick

Publisher: Routledge

Published: 2005-07-19

Total Pages: 228

ISBN-13: 1135716951

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This book provides the reader with an introduction to the world of educational research. A two-pronged approach is adopted: to help the reader understand the concepts and terminology widely used in educational research and a range of methodological issues; and to provide the reader with guidance on initiating and implementing research studies. In this highly accessible book, the authors consider the perspectives, concepts and techniques in common usage in the field of research, and the variety of approaches that may be taken in researching different subjects. A glossary is also provided covering the relevant terms and concepts referred to and used in current educational research.

Analysis of Arithmetic for Mathematics Teaching
Analysis of Arithmetic for Mathematics Teaching

Author: Gaea Leinhardt

Publisher: Routledge

Published: 2020-11-25

Total Pages: 472

ISBN-13: 1135440654

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This volume emerges from a partnership between the American Federation of Teachers and the Learning Research and Development Center at the University of Pittsburgh. The partnership brought together researchers and expert teachers for intensive dialogue sessions focusing on what each community knows about effective mathematical learning and instruction. The chapters deal with the research on, and conceptual analysis of, specific arithmetic topics (addition, subtraction, multiplication, division, decimals, and fractions) or with overarching themes that pervade the early curriculum and constitute the links with the more advanced topics of mathematics (intuition, number sense, and estimation). Serving as a link between the communities of cognitive researchers and mathematics educators, the book capitalizes on the recent research successes of cognitive science and reviews the literature of the math education community as well.

A Decade of Research on School Principals
A Decade of Research on School Principals

Author: Helene Ärlestig

Publisher: Springer

Published: 2015-11-13

Total Pages: 547

ISBN-13: 3319230271

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This book provides a unique map of the focus and directions of contemporary research on school leadership since 2000 in 24 countries. Each of these directions has its own particular cultural, educational and policy history. Taken together, the various chapters in the volume provide a rich and varied mosaic of what is currently known and what is yet to be discovered about the roles and practices of principals, and their contributions to the improvement of teaching and the learning and achievement of students. The particular foci and methodological emphases of the research reported illustrate the different phases in the development of educational policies and provision in each country. This collection is an important addition to existing international research that has shown beyond any reasonable doubt that the influence of school principals is second only to that of teachers in their capacity to impact students’ progress and achievement and to promote equity and social justice.

Doing Qualitative Research in Education Settings, Second Edition
Doing Qualitative Research in Education Settings, Second Edition

Author: J. Amos Hatch

Publisher: State University of New York Press

Published: 2023-09-01

Total Pages: 304

ISBN-13: 1438494629

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Doing Qualitative Research in Education Settings, Second Edition is a methods book that speaks directly to qualitative researchers in the field of education, providing a step-by-step guide to the development of a research project. Written in accessible language, the book emphasizes learning how to do qualitative work. Specific examples from real studies, using real data and demonstrating real analyses, are provided throughout. The book is designed to guide doctoral candidates through the dissertation process, from unpacking assumptions and identifying research questions, through project design, data collection and analysis, to writing the final draft. Recommendations for publishing qualitative work are included. New to the second edition are a comprehensive updating of citations and references, new sections addressing the impact of computer-mediated communication (especially as related to data collection and analysis), an overview of the recent history of qualitative research, and an overall refresh that acknowledges the many changes that have occurred in society and academe since the original publication.