Vital Directions For Mathematics Education Research

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Vital Directions for Mathematics Education Research

Author : Keith R Leatham
Publisher : Springer Science & Business Media
Page : 207 pages
File Size : 55,9 Mb
Release : 2014-07-08
Category : Education
ISBN : 9781461469773

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Vital Directions for Mathematics Education Research by Keith R Leatham Pdf

This book provides a collection of chapters from prominent mathematics educators in which they each discuss vital issues in mathematics education and what they see as viable directions research in mathematics education could take to address these issues. All of these issues are related to learning and teaching mathematics. The book consists of nine chapters, seven from each of seven scholars who participated in an invited lecture series (Scholars in Mathematics Education) at Brigham Young University, and two chapters from two other scholars who are writing reaction papers that look across the first seven chapters. The recommendations take the form of broad, overarching principles and ideas that cut across the field. In this sense, this book differs from classical “research agenda projects,” which seek to outline specific research questions that the field should address around a central topic.

Advances in Mathematics Education Research on Proof and Proving

Author : Andreas J. Stylianides,Guershon Harel
Publisher : Springer
Page : 301 pages
File Size : 55,9 Mb
Release : 2018-01-10
Category : Education
ISBN : 9783319709963

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Advances in Mathematics Education Research on Proof and Proving by Andreas J. Stylianides,Guershon Harel Pdf

This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments for theory and practice, and directions for future research. With contributions from researchers working in twelve different countries, the book brings also an international perspective to the discussion and debate of the state of the art in this important area. The book is organized around the following four themes, which reflect the breadth of issues addressed in the book: • Theme 1: Epistemological issues related to proof and proving; • Theme 2: Classroom-based issues related to proof and proving; • Theme 3: Cognitive and curricular issues related to proof and proving; and • Theme 4: Issues related to the use of examples in proof and proving. Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall.

Piaget’s Genetic Epistemology for Mathematics Education Research

Author : Paul Christian Dawkins,Amy J. Hackenberg,Anderson Norton
Publisher : Springer Nature
Page : 620 pages
File Size : 50,6 Mb
Release : 2024-01-22
Category : Education
ISBN : 9783031473869

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Piaget’s Genetic Epistemology for Mathematics Education Research by Paul Christian Dawkins,Amy J. Hackenberg,Anderson Norton Pdf

The book provides an entry point for graduate students and other scholars interested in using the constructs of Piaget’s genetic epistemology in mathematics education research. Constructs comprising genetic epistemology form the basis for some of the most well-developed theoretical frameworks available for characterizing learning, particularly in mathematics. The depth and complexity of Piaget’s work can make it challenging to find adequate entry points for learners, not least because it requires a reorientation regarding the nature of mathematical knowledge itself. This volume gathers leading scholars to help address that challenge. The main section of the book presents key Piagetian constructs for mathematics education research such as schemes and operations, figurative and operative thought, images and meanings, and decentering. The chapters that discuss these constructs include examples from research and address how these constructs can be used in research. There are two chapters on various types of reflective abstraction, because this construct is Piaget’s primary tool for characterizing the advancement of knowledge. The later sections of the book contain commentaries reflecting on the contributions of the body of theory developed in the first section. They connect genetic epistemology to current research domains such as equity and the latest in educational psychology. Finally, the book closes with short chapters portraying how scholars are using these tools in specific arenas of mathematics education research, including in special education, early childhood education, and statistics education.

Teaching and Learning Mathematics Online

Author : James P. Howard, II,John F. Beyers
Publisher : CRC Press
Page : 347 pages
File Size : 40,6 Mb
Release : 2020-05-10
Category : Mathematics
ISBN : 9781351245562

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Teaching and Learning Mathematics Online by James P. Howard, II,John F. Beyers Pdf

Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses

Handbook of International Research in Mathematics Education

Author : Lyn D. English,David Kirshner
Publisher : Routledge
Page : 1064 pages
File Size : 45,9 Mb
Release : 2015-07-30
Category : Education
ISBN : 9781134626717

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Handbook of International Research in Mathematics Education by Lyn D. English,David Kirshner Pdf

This third edition of the Handbook of International Research in Mathematics Education provides a comprehensive overview of the most recent theoretical and practical developments in the field of mathematics education. Authored by an array of internationally recognized scholars and edited by Lyn English and David Kirshner, this collection brings together overviews and advances in mathematics education research spanning established and emerging topics, diverse workplace and school environments, and globally representative research priorities. New perspectives are presented on a range of critical topics including embodied learning, the theory-practice divide, new developments in the early years, educating future mathematics education professors, problem solving in a 21st century curriculum, culture and mathematics learning, complex systems, critical analysis of design-based research, multimodal technologies, and e-textbooks. Comprised of 12 revised and 17 new chapters, this edition extends the Handbook’s original themes for international research in mathematics education and remains in the process a definitive resource for the field.

Directions For Mathematics Research Experience For Undergraduates

Author : Rubinstein Yanir A,Peterson Mark A
Publisher : World Scientific
Page : 252 pages
File Size : 46,6 Mb
Release : 2015-09-29
Category : Mathematics
ISBN : 9789814630337

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Directions For Mathematics Research Experience For Undergraduates by Rubinstein Yanir A,Peterson Mark A Pdf

“The US National Science Foundation (NSF) Research Experiences for Undergraduates (REU) program in mathematics is now 25 years old, and it is a good time to think about what it has achieved, how it has changed, and where this idea will go next.”This was the premise of the conference held at Mt. Holyoke College during 21-22 June, 2013, and this circle of ideas is brought forward in this volume. The conference brought together diverse points of view, from NSF administrators, leaders of university-wide honors programs, to faculty who had led REUs, recent PhDs who are expected to lead them soon, and students currently in an REU themselves. The conversation was so varied that it justifies a book-length attempt to capture all that was suggested, reported, and said. Among the contributors are Ravi Vakil (Stanford), Haynes Miller (MIT), and Carlos Castillo-Chavez (Arizona, President's Obama Committee on the National Medal of Science 2010-2012).This book should serve not only as a collection of speakers' notes, but also as a source book for anyone interested in teaching mathematics and in the possibility of incorporating research-like experiences in mathematics classes at any level, as well as designing research experiences for undergraduates outside of the classroom.

Research Trends in Mathematics Teacher Education

Author : Jane-Jane Lo,Keith R. Leatham,Laura R. Van Zoest
Publisher : Springer
Page : 321 pages
File Size : 52,6 Mb
Release : 2014-05-28
Category : Education
ISBN : 9783319025629

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Research Trends in Mathematics Teacher Education by Jane-Jane Lo,Keith R. Leatham,Laura R. Van Zoest Pdf

Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching. Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers’ learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to student learning) and illustrate how knowledge can be accessed, assessed, and nurtured over the course of a teaching career. Commentaries provide context for current research while identifying areas deserving future study. Included among the topics: Teachers’ curricular knowledge Teachers’ personal and classroom mathematics Teachers’ learning journeys toward reasoning and sense-making Teachers’ transitions in noticing Teachers’ uses of a learning trajectory as a tool for mathematics lesson planning A unique and timely set of perspectives on the professional development of mathematics teachers at all stages of their careers, Research Trends in Mathematics Teacher Education brings clarity and practical advice to researchers as well as practitioners in this increasingly critical arena.

Creativity of an Aha! Moment and Mathematics Education

Author : Anonim
Publisher : BRILL
Page : 491 pages
File Size : 49,5 Mb
Release : 2021-05-25
Category : Education
ISBN : 9789004446434

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Creativity of an Aha! Moment and Mathematics Education by Anonim Pdf

Creativity of an Aha!Moment and Mathematics Education introduces bisociation, the theory of Aha! moment creativity into Mathematics Education. It establishes relationships between bisociation and constructivist theories of learning laying down the basis for the new theory integrating creativity with learning.

Affect and Mathematics Education

Author : Markku S. Hannula,Gilah C. Leder,Francesca Morselli,Maike Vollstedt,Qiaoping Zhang
Publisher : Springer
Page : 437 pages
File Size : 48,5 Mb
Release : 2019-06-03
Category : Education
ISBN : 9783030137618

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Affect and Mathematics Education by Markku S. Hannula,Gilah C. Leder,Francesca Morselli,Maike Vollstedt,Qiaoping Zhang Pdf

This open access book, inspired by the ICME 13 topic study group “Affect, beliefs and identity in mathematics education”, presents the latest trends in research in the area. Following an introduction and a survey chapter providing a concise overview of the state-of-art in the field of mathematics-related affect, the book is divided into three main sections: motivation and values, engagement, and identity in mathematics education. Each section comprises several independent chapters based on original research, as well as a reflective commentary by an expert in the area. Collectively, the chapters present a rich methodological spectrum, from narrative analysis to structural equation modelling. In the final chapter, the editors look ahead to future directions in the area of mathematics-education-related affect. It is a timely resource for all those interested in the interaction between affect and mathematics education.

Borders in Mathematics Pre-Service Teacher Education

Author : Nenad Radakovic,Limin Jao
Publisher : Springer Nature
Page : 292 pages
File Size : 55,8 Mb
Release : 2020-05-22
Category : Education
ISBN : 9783030442927

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Borders in Mathematics Pre-Service Teacher Education by Nenad Radakovic,Limin Jao Pdf

This book examines the current state of the field of mathematics pre-service teacher education through the theme of borders. Borders are ubiquitous; they can be used to define, classify, organize, make sense of, and/or group. There are many ways that the concept of a border illuminates the field of mathematics pre-service teacher education. Consequently, there are a multitude of responses to these borders: researchers and practitioners question, challenge, cross, blur, and erase them. Chapters include the following topics: explorations of mathematics across topics (e.g., geometry, algebra, probability) and with other disciplines (e.g., science, the arts, social sciences); challenging gender, cultural, and racial borders; exploring the structure and curriculum of teacher education programs; spaces inhabited by teacher education programs (e.g., university, community); and international collaborations and programs to promote cross-cultural sharing and learning. The book targets a readership of researchers and graduate students in integrated education studies, teacher education, practitioners of mathematics education, curriculum developers, and educational administrators and policy makers. ​

Transforming Mathematics Instruction

Author : Yeping Li,Edward A. Silver,Shiqi Li
Publisher : Springer
Page : 581 pages
File Size : 52,6 Mb
Release : 2014-07-05
Category : Education
ISBN : 9783319049939

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Transforming Mathematics Instruction by Yeping Li,Edward A. Silver,Shiqi Li Pdf

This book surveys and examines different approaches and practices that contribute to the changes in mathematics instruction, including (1) innovative approaches that bring direct changes in classroom instructional practices, (2) curriculum reforms that introduce changes in content and requirements in classroom instruction, and (3) approaches in mathematics teacher education that aim to improve teachers’ expertise and practices. It also surveys relevant theory and methodology development in studying and assessing mathematics instruction. Classroom instruction is commonly seen as one of the key factors contributing to students’ learning of mathematics, but much remains to be understood about teachers’ instructional practices that lead to the development and enactment of effective classroom instruction, and approaches and practices developed and used to transform classroom instruction in different education systems. Transforming Mathematics Instruction is organized to help readers learn not only from reading individual chapters, but also from reading across chapters and sections to explore broader themes, including: - Identifying what is important in mathematics for teaching and learning emphasized in different approaches; - Exploring how students’ learning is considered and facilitated through different approaches and practices; - Understanding the nature of various approaches that are valued in different systems and cultural contexts; - Probing culturally valued approaches in identifying and evaluating effective instructional practices. The book brings new research and insights into multiple approaches and practices for transforming mathematics instruction to the international community of mathematics education, with 25 chapters and four section prefaces contributed by 56 scholars from 10 different education systems. This rich collection is indispensable reading for mathematics educators, researchers, teacher educators, curriculum developers, and graduate students interested in learning about different instructional practices, approaches for instructional transformation, and research in different education systems. It will help readers to reflect on approaches and practices that are useful for instructional changes in their own education systems, and also inspire them to identify and further explore new areas of research and program development in improving mathematics teaching and learning.

Proof and Proving in Mathematics Education

Author : Gila Hanna,Michael de Villiers
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 42,8 Mb
Release : 2012-06-14
Category : Education
ISBN : 9789400721296

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Proof and Proving in Mathematics Education by Gila Hanna,Michael de Villiers Pdf

*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.

The Mathematics Education for the Future Project – Proceedings of the 14th International Conference

Author : Alan Rogerson,Janina Morska
Publisher : WTM-Verlag Münster
Page : 387 pages
File Size : 55,7 Mb
Release : 2017-07-01
Category : Education
ISBN : 9783959870467

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The Mathematics Education for the Future Project – Proceedings of the 14th International Conference by Alan Rogerson,Janina Morska Pdf

This volume contains the papers presented at the International Conference on Challenges in Mathematics Education for the Next Decade held from September 10-15, 2017 in Balatonfüred, Hungary. The Conference was organized by The Mathematics Education for the Future Project – an international edu­cational project founded in 1986.

Handbook of Research on Mathematics Teaching and Learning

Author : Douglas Grouws
Publisher : IAP
Page : 784 pages
File Size : 54,6 Mb
Release : 2006-11-01
Category : Mathematics
ISBN : 9781607528746

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Handbook of Research on Mathematics Teaching and Learning by Douglas Grouws Pdf

Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of well-established conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twenty-nine chapters are complete resources for both current and past work in that particular area.

Designing, Conducting, and Publishing Quality Research in Mathematics Education

Author : Keith R. Leatham
Publisher : Springer Nature
Page : 270 pages
File Size : 54,6 Mb
Release : 2019-09-12
Category : Education
ISBN : 9783030235055

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Designing, Conducting, and Publishing Quality Research in Mathematics Education by Keith R. Leatham Pdf

The purpose of this book is to collect, organize and disseminate collective wisdom with respect to designing, conducting, and publishing quality research in mathematics education. This wisdom will be gleaned from among those who, over the past several decades, have been instrumental in guiding the field in the pursuit of excellence in mathematics education research—insightful editors, educative reviewers, prolific writers, and caring mentors. Each chapter is written to the novice researcher with the intent of aiding them in avoiding common pitfalls, navigating difficult intellectual terrain, and understanding that they are not alone in experiencing rejection, frustration, confusion, and doubt. This book differs from existing literature in the sense that it is written about the enterprise of designing, conducting and publishing research in mathematics education as opposed to being reports of the results of such work. It also differs in the sense that it is written with the intent to mentor the rising generation as opposed to capture the state of the field (as would happen in a handbook, for example). It is written for the express purpose of helping the field work collectively to aid in the often isolated enterprise of mentoring new researchers. The primary audience is a potentially wide one: graduate students, novice researchers, graduate faculty, advisors, and mentors – or anyone seeking to improve their own abilities to design, conduct, and publish quality research in mathematics education.