The Evolution of Research on Teaching Mathematics

The Evolution of Research on Teaching Mathematics PDF Author: Agida Manizade
Publisher: Springer Nature
ISBN: 3031311930
Category : Education
Languages : en
Pages : 380

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Book Description
This open access book investigates current issues related to the evolution of research on teaching mathematics and examines up to thirty years of presage-process-product research (PPPR) in mathematics with respect to conceptualization, instrumentation, and design. The book discusses the theoretical and methodological challenges associated with PPPR, critically reviews current research, and explores the likely direction of further developments to identify future paths for research on high-quality mathematics teaching in the digital era. Subjects that are covered in this work focus on the relationships between 1) student learning outcomes measured upon completion of the mathematics teaching; 2) student learning activities in the classroom; 3) interactive mathematics teacher activities, and best practices in mathematics classrooms conducted in the presence of students; 4) pre-post-active mathematics teacher activities such as planning, assessment, and other teaching-related activities outside of the classroom; 5) mathematics teachers’ competencies, knowledge, and skills; and 6) mathematics teachers’ characteristics, including beliefs, attitudes, and motivation. This book discusses the evolution of such research in mathematics teaching and teacher education in the digital era and is of interest to researchers exploring the field of mathematics teaching and mathematics teacher education as well as educators.

Realising Learning

Realising Learning PDF Author: Keith Wood
Publisher: Routledge
ISBN: 1317803817
Category : Education
Languages : en
Pages : 231

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Book Description
The best professional development for teachers focuses on issues they encounter in the classroom. It is collaborative, school-based, learning-focused and supports teachers in solving problems of pedagogy in context. Through lesson study teachers are empowered to make decisions to improve pedagogy, curriculum and assessment based on evidence of the effect of design on learning. Being explicit about the theories of learning underpinning their teaching decisions allows teachers to develop a shared vocabulary for the diagnosis of learning problems, redesign and evaluation of learning situations. Learning study introduces a new Variation Theory of Learning. It provides a framework for teachers to make critical decisions about what is to be learnt and how. The fusion of lesson and learning study is changing the nature of professional development and providing teachers with a voice in the field of educational research. In Realising Learning, teachers, teacher educators and policy makers can share the progress achieved by teachers in Asia and Europe to improve teaching and learning.

Math Educ

Math Educ PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 624

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Book Description
Contains abstracts in the field of mathematics education extracted from documents worldwide.

Advanced Mathematical Thinking

Advanced Mathematical Thinking PDF Author: David Tall
Publisher: Springer Science & Business Media
ISBN: 0306472031
Category : Education
Languages : en
Pages : 298

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Book Description
This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.

Early Algebraization

Early Algebraization PDF Author: Jinfa Cai
Publisher: Springer Science & Business Media
ISBN: 3642177352
Category : Education
Languages : en
Pages : 631

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Book Description
In this volume, the authors address the development of students’ algebraic thinking in the elementary and middle school grades from curricular, cognitive, and instructional perspectives. The volume is also international in nature, thus promoting a global dialogue on the topic of early Algebraization.

Theories of Mathematics Education

Theories of Mathematics Education PDF Author: Bharath Sriraman
Publisher: Springer Science & Business Media
ISBN: 3642007422
Category : Education
Languages : en
Pages : 650

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Book Description
Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.

Handbook of International Research in Mathematics Education

Handbook of International Research in Mathematics Education PDF Author: Lyn D. English
Publisher: Routledge
ISBN: 1135192766
Category : Education
Languages : en
Pages : 942

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Book Description
This book brings together mathematics education research that makes a difference in both theory and practice - research that anticipates problems and needed knowledge before they become impediments to progress.

Mathematics Education in the Digital Age

Mathematics Education in the Digital Age PDF Author: Alison Clark-Wilson
Publisher: Routledge
ISBN: 1000390799
Category : Education
Languages : en
Pages : 246

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Book Description
The wide availability of digital educational resources for mathematics teaching and learning is indisputable, with some notable genres of technologies having evolved, such as graphing calculators, dynamic graphing, dynamic geometry and data visualization tools. But what does this mean for teachers of mathematics, and how do their roles evolve within this digital landscape? This essential book offers an international perspective to help bridge theory and practice, including coverage of networking theories, curriculum design, task implementation, online resources and assessment. Mathematics Education in the Digital Age details the impacts this digital age has, and will continue to have, on the parallel aspects of learning and teaching mathematics within formal education systems and settings. Written by a group of international authors, the chapters address the following themes: Mathematics teacher education and professional development Mathematics curriculum development and task design The assessment of mathematics Theoretical perspectives and methodologies/approaches for researching mathematics education in the digital age This book highlights not only the complex nature of the field, but also the advancements in theoretical and practical knowledge that is enabling the mathematics education community to continue to learn in this increasingly digital age. It is an essential read for all mathematics teacher educators and master teachers.

Proof and Proving in Mathematics Education

Proof and Proving in Mathematics Education PDF Author: Gila Hanna
Publisher: Springer Science & Business Media
ISBN: 9400721293
Category : Education
Languages : en
Pages : 468

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Book Description
*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.

Qualitative Methods in Research on Teaching

Qualitative Methods in Research on Teaching PDF Author: Frederick Erickson
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 141

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Book Description