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Didactics of Mathematics

Didactics of Mathematics PDF Author: Ángel Alberto Magreñán
Publisher:
ISBN: 9781536175684
Category : Mathematics
Languages : en
Pages : 187

Book Description
"Didactics of mathematics has been recently considered, for less than a century, as scientific discipline as itself. The study of this discipline has significantly grown in the last decades since many authors have focused their efforts in the study of the relations of the knowledge and the processes of teaching-learning of mathematics. This book presents eight original contributions of authors from ten different universities, and even from different countries, related to (1) Learning and metacognition; (2) A methodology to teach mathematics; (3) A study related to mathematics in China; (4) Collaborative learning in Mathematics in Secondary Education; (5) Intervention to teach notable products in Secondary Education; (6) The use of holography in geometry teaching in Secondary Education; (7) Problem Based Learning in University for advanced mathematics teaching; (8) Flip teaching in University. This monograph is required reading for all researchers in mathematics education and contains different useful material for mathematics educators and teacher trainers interested in the theory and practice of mathematics education. As such this monograph is suitable to teachers of mathematics in different educational levels. Researchers, graduate students and seminars will find this book really helpful for their daily work. This book is also recommended to researchers in different disciplines, such as general education, didactics or general mathematics"--

Didactics of Mathematics

Didactics of Mathematics PDF Author: Ángel Alberto Magreñán
Publisher:
ISBN: 9781536175684
Category : Mathematics
Languages : en
Pages : 187

Book Description
"Didactics of mathematics has been recently considered, for less than a century, as scientific discipline as itself. The study of this discipline has significantly grown in the last decades since many authors have focused their efforts in the study of the relations of the knowledge and the processes of teaching-learning of mathematics. This book presents eight original contributions of authors from ten different universities, and even from different countries, related to (1) Learning and metacognition; (2) A methodology to teach mathematics; (3) A study related to mathematics in China; (4) Collaborative learning in Mathematics in Secondary Education; (5) Intervention to teach notable products in Secondary Education; (6) The use of holography in geometry teaching in Secondary Education; (7) Problem Based Learning in University for advanced mathematics teaching; (8) Flip teaching in University. This monograph is required reading for all researchers in mathematics education and contains different useful material for mathematics educators and teacher trainers interested in the theory and practice of mathematics education. As such this monograph is suitable to teachers of mathematics in different educational levels. Researchers, graduate students and seminars will find this book really helpful for their daily work. This book is also recommended to researchers in different disciplines, such as general education, didactics or general mathematics"--

Trends in Applications of Mathematics to Mechanics

Trends in Applications of Mathematics to Mechanics PDF Author: Elisabetta Rocca
Publisher: Springer
ISBN: 331975940X
Category : Mathematics
Languages : en
Pages : 374

Book Description
This volume originates from the INDAM Symposium on Trends on Applications of Mathematics to Mechanics (STAMM), which was held at the INDAM headquarters in Rome on 5–9 September 2016. It brings together original contributions at the interface of Mathematics and Mechanics. The focus is on mathematical models of phenomena issued from various applications. These include thermomechanics of solids and gases, nematic shells, thin films, dry friction, delamination, damage, and phase-field dynamics. The papers in the volume present novel results and identify possible future developments. The book is addressed to researchers involved in Mathematics and its applications to Mechanics.

Mathematics Curriculum

Mathematics Curriculum PDF Author: Barbara Reys
Publisher:
ISBN: 9780873536431
Category : CD-ROMs
Languages : en
Pages : 362

Book Description
"Mathematics curriculum has long been a topic of keen interest in mathematics education and remains a central issue in efforts to improve mathematics learning opportunities for students. This Yearbook continues in a long line of NCTM Yearbooks that have addressed various facets of the changing mathematics curriculum. Although some factors such as tradition can inhibit significant change, other factors such as policy (e.g., federal No Child Left Behind legislation), societal needs (mathematically literate graduates), and technological advances (computer software, calculators) foster and accelerate the need for change. In the past year alone, a major state-initiated process for developing 'common core standards' is underway. With 48 states and several territories participating in the articulation of 'college and career-ready' high school graduation expectations and common K-12 standards, 2010 promises to be a landmark year of discussion and dialogue about mathematics curriculum. This Yearbook reflects some of the many issues that the field is currently discussing so it serves as both a record of current advances and a summary of challenges regarding curriculum. We hope that it will both guide and stimulate thinking about where we have been, where we are, and where we need to go."--Publisher's description.

Advances in Ring Theory

Advances in Ring Theory PDF Author: S.K. Jain
Publisher: Springer Science & Business Media
ISBN: 1461219787
Category : Mathematics
Languages : en
Pages : 330

Book Description


Advances in Mathematics Education Research on Proof and Proving

Advances in Mathematics Education Research on Proof and Proving PDF Author: Andreas J. Stylianides
Publisher: Springer
ISBN: 3319709968
Category : Education
Languages : en
Pages : 298

Book Description
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.

Uses of Technology in Primary and Secondary Mathematics Education

Uses of Technology in Primary and Secondary Mathematics Education PDF Author: Lynda Ball
Publisher: Springer
ISBN: 3319765752
Category : Education
Languages : en
Pages : 430

Book Description
This book provides international perspectives on the use of digital technologies in primary, lower secondary and upper secondary school mathematics. It gathers contributions by the members of three topic study groups from the 13th International Congress on Mathematical Education and covers a range of themes that will appeal to researchers and practitioners alike. The chapters include studies on technologies such as virtual manipulatives, apps, custom-built assessment tools, dynamic geometry, computer algebra systems and communication tools. Chiefly focusing on teaching and learning mathematics, the book also includes two chapters that address the evidence for technologies’ effects on school mathematics. The diverse technologies considered provide a broad overview of the potential that digital solutions hold in connection with teaching and learning. The chapters provide both a snapshot of the status quo of technologies in school mathematics, and outline how they might impact school mathematics ten to twenty years from now.

Affect and Mathematics Education

Affect and Mathematics Education PDF Author: Markku S. Hannula
Publisher: Springer
ISBN: 3030137619
Category : Education
Languages : en
Pages : 437

Book Description
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.

Developing Research in Mathematics Education

Developing Research in Mathematics Education PDF Author: Tommy Dreyfus
Publisher: Routledge
ISBN: 1351625403
Category : Education
Languages : en
Pages : 526

Book Description
Developing Research in Mathematics Education is the first book in the series New Perspectives on Research in Mathematics Education, to be produced in association with the prestigious European Society for Research in Mathematics Education. This inaugural volume sets out broad advances in research in mathematics education which have accumulated over the last 20 years through the sustained exchange of ideas and collaboration between researchers in the field. An impressive range of contributors provide specifically European and complementary global perspectives on major areas of research in the field on topics that include: the content domains of arithmetic, geometry, algebra, statistics, and probability; the mathematical processes of proving and modeling; teaching and learning at specific age levels from early years to university; teacher education, teaching and classroom practices; special aspects of teaching and learning mathematics such as creativity, affect, diversity, technology and history; theoretical perspectives and comparative approaches in mathematics education research. This book is a fascinating compendium of state-of-the-art knowledge for all mathematics education researchers, graduate students, teacher educators and curriculum developers worldwide.

Recent Trends in Applied Mathematics

Recent Trends in Applied Mathematics PDF Author: S. R. Mishra
Publisher: Springer Nature
ISBN: 9811598177
Category : Technology & Engineering
Languages : en
Pages : 460

Book Description
This book presents select proceedings of the International Conference on Applied Mathematics in Science and Engineering (AMSE 2019). Various topics covered include computational fluid dynamics, applications of differential equations in engineering, numerical methods for ODEs and PDEs, mathematical modeling and analysis of biological systems, optimal control and controllability of differential equations, fractional calculus and its applications, nonlinear analysis, and functional analysis. This book will be of interest to researchers, academicians and students in the fields of applied sciences, mathematics and engineering.

Distance Learning, E-Learning and Blended Learning in Mathematics Education

Distance Learning, E-Learning and Blended Learning in Mathematics Education PDF Author: Jason Silverman
Publisher: Springer
ISBN: 3319907905
Category : Education
Languages : en
Pages : 219

Book Description
This book builds on current and emerging research in distance learning, e-learning and blended learning. Specifically, it tests the boundaries of what is known by examining and discussing recent research and development in teaching and learning based on these modalities, with a focus on lifelong mathematics learning and teaching. The book is organized in four sections: The first section focuses on the incorporation of new technologies into mathematics classrooms through the construction or use of digital teaching and learning platforms. The second section presents a wide range of perspectives on the study and implementation of different tutoring systems and/or computer assisted math instruction. The third section presents four new innovations in mathematics learning and/or mathematics teacher education that involve the development of novel interfaces’ for communicating mathematical ideas and analyzing student thinking and student work. Finally, the fourth section presents the latest work on the construction and implementation of new MOOCs and rich media platforms developed to carry out specialized mathematics teacher education.