Educational Paths To Mathematics

Author : Uwe Gellert,Joaquim Giménez Rodríguez,Corinne Hahn,Sonia Kafoussi
Publisher : Springer
Page : 486 pages
File Size : 45,7 Mb
Release : 2015-05-18
Category : Education
ISBN : 9783319154107

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Educational Paths to Mathematics by Uwe Gellert,Joaquim Giménez Rodríguez,Corinne Hahn,Sonia Kafoussi Pdf

This book offers fresh insight and understanding of the many ways in which children, youth and adults may find their paths to mathematics. The chapters of the volume offer and analyse promising new ways into mathematics. The focus is on spaces and modalities of learning, dialogue and inquiry, embodiment and aesthetic experience, information and communication technology and on the use of mathematics in public communication. The chapters present new mathematical activities and conceptions enriching the repertoire of mathematics education practices. Critical commentaries discuss the innovative potential of the new approaches to the teaching and learning of mathematics. As a consequence, the commentaries point to requirements and open issues in the field of research in mathematics education. The volume is remarkably international. Teachers and researchers from 14 countries authored 21 chapters and 7 commentaries. The reader is invited to reflect on the particular effect of presenting avenues to mathematics contrived in diverse national settings in which the praxis of mathematics education might look different compared to what happens in the reader’s place. The book starts a series of sourcebooks edited by CIEAEM, the Commission Internationale pour l’Etude et l’Amélioration de l’Enseignement des Mathématiques / International Commission for the Study and Improvement of Mathematics Education.

Author : William F. Tate,Karen D. King,Celia Rousseau Anderson
Publisher : National Council of Teachers of English
Page : 135 pages
File Size : 45,8 Mb
Release : 2011-01
Category : Curriculum planning
ISBN : 0873536363

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Disrupting Tradition by William F. Tate,Karen D. King,Celia Rousseau Anderson Pdf

Traditionally, researchers and mathematics education practitioners have been engaged in parallel play, yet they have been segregated by the norms and cultural practises of their distinct institutions and professional reward systems. Rarely do mutually dependent and informing intellectual pathways emerge. This book explores what happens when tradition is disrupted by one purposefully designed research and practise pathway. This book offers insights into, and examples of, developing mutually interdependent research and practise processes as part of efforts to improve teacher and leadership capacity, as well as positively influence student learning and related outcomes. This book raises valuable questions for the mathematics education community. What forms have research and practise pathways taken? What lessons have been learned from collaborations? These questions are examined to illustrate where strategic partnerships have linked research to both the design and implementation of practise and programmatic endeavors and to generate evidence to guide both educational decision making and routine modifications related to school mathematics. Editor William F. Tate offers remarks about the future of research and practise collaborations in mathematics education and maintains that research and practise collaborations should be a standard regimen in movements to improve mathematics teaching and learning.

Author : Paulo Tan
Publisher : National Council of Teachers of English
Page : 128 pages
File Size : 42,6 Mb
Release : 2019
Category : Learning disabled children
ISBN : 1680540246

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Humanizing Disability in Mathematics Education by Paulo Tan Pdf

"The authors share their experiences and ideas to support your learning and practices involving persons with disabilities and those "at risk" of being identified. These ideas and experiences often revolve around students we supported as teachers of mathematics, teacher educators, and even our own experiences as learners of mathematics with an identified disability. The main purpose of sharing these stories is to highlight the power of humanizing mathematics of students with disabilities"--

Author : National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Committee on Early Childhood Mathematics
Publisher : National Academies Press
Page : 399 pages
File Size : 52,8 Mb
Release : 2009-11-13
Category : Education
ISBN : 9780309147439

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Mathematics Learning in Early Childhood by National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Committee on Early Childhood Mathematics Pdf

Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Author : Robert E. Reys,Jeremy Kilpatrick
Publisher : American Mathematical Soc.
Page : 192 pages
File Size : 41,9 Mb
Release : 2001
Category : Mathematics
ISBN : 9780821827710

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One Field, Many Paths: U. S. Doctoral Programs in Mathematics Education by Robert E. Reys,Jeremy Kilpatrick Pdf

This book is the first to focus specifically on doctoral programs in mathematics education. It reflects the proceedings of a National Conference on Doctoral Programs in Mathematics Education (Lake Ozark, MO) which was sponsored by the National Science Foundation. This conference was proceeded by a comprehensive survey of programs conducted over the preceding year. The meeting was designed to generate dialog regarding the nature of current doctoral programs in mathematics education, to discuss ways to strengthen such programs, and to detail suggestions and guidelines for faculty engaged in restructuring an existing program or in creating a new one.

Author : Yeping Li,W. James Lewis,James J. Madden
Publisher : Springer
Page : 303 pages
File Size : 46,7 Mb
Release : 2017-10-03
Category : Education
ISBN : 9783319614342

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Mathematics Matters in Education by Yeping Li,W. James Lewis,James J. Madden Pdf

This book is inspired by Roger E. Howe's contributions to the international communities of mathematics and mathematics education. Renowned for his research contributions in the fields of representation theory, automorphic forms, harmonic analysis, and invariant theory, Dr. Howe has also fundamentally deepened our understanding of the mathematics taught in the early school grades and has challenged and stimulated mathematicians and mathematics educators to work together to examine this part of the mathematical universe more critically and in imaginative new ways. This volume will help summarize and highlight Howe's contributions to several topic areas in mathematics education, demonstrating the possibility and importance of engaging mathematicians in high-impact research in mathematics education, and showcasing the importance of cross-disciplinary collaboration and exchange.

Author : Julius Davis,Christopher C. Jett
Publisher : Routledge
Page : 326 pages
File Size : 45,6 Mb
Release : 2019-04-30
Category : Education
ISBN : 9781351356152

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Critical Race Theory in Mathematics Education by Julius Davis,Christopher C. Jett Pdf

Critical Race Theory in Mathematics Education brings together scholarship that uses critical race theory (CRT) to provide a comprehensive understanding of race, racism, social justice, and experiential knowledge of African Americans’ mathematics education. CRT has gained traction within the educational research sphere, and this book extends and applies this framework to chronicle the paths of mathematics educators who advance and use CRT. This edited collection brings together scholarship that addresses the racial challenges thrusted upon Black learners and the gatekeeping nature of the discipline of mathematics. Across the ten chapters, scholars expand the uses of CRT in mathematics education and share insights with stakeholders regarding the racialized experiences of mathematics students and educators. Collectively, the volume explains how researchers, practitioners, and policymakers can use CRT to examine issues of race, racism, and other forms of oppression in mathematics education for Black children and adults.

Author : Jeremy Kilpatrick,Celia Hoyles,Ole Skovsmose
Publisher : Springer Science & Business Media
Page : 260 pages
File Size : 52,7 Mb
Release : 2006-03-30
Category : Education
ISBN : 9780387240404

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Meaning in Mathematics Education by Jeremy Kilpatrick,Celia Hoyles,Ole Skovsmose Pdf

What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed—theoretical and practical—and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge. This book presents a wide variety of theoretical reflections and research results about meaning in mathematics and mathematics education based on long-term and collective reflection by the group of authors as a whole. It is the outcome of the work of the BACOMET (BAsic COmponents of Mathematics Education for Teachers) group who spent several years deliberating on this topic. The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education. This book is of interest to researchers in mathematics education, graduate students of mathematics education, under graduate students in mathematics, secondary mathematics teachers and primary teachers with an interest in mathematics.

Author : National Research Council,Mathematical Sciences Education Board
Publisher : National Academies Press
Page : 191 pages
File Size : 49,9 Mb
Release : 1998-05-27
Category : Education
ISBN : 9780309174732

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High School Mathematics at Work by National Research Council,Mathematical Sciences Education Board Pdf

Traditionally, vocational mathematics and precollege mathematics have been separate in schools. But the technological world in which today's students will work and live calls for increasing connection between mathematics and its applications. Workplace-based mathematics may be good mathematics for everyone. High School Mathematics at Work illuminates the interplay between technical and academic mathematics. This collection of thought-provoking essaysâ€"by mathematicians, educators, and other expertsâ€"is enhanced with illustrative tasks from workplace and everyday contexts that suggest ways to strengthen high school mathematical education. This important book addresses how to make mathematical education of all students meaningfulâ€"how to meet the practical needs of students entering the work force after high school as well as the needs of students going on to postsecondary education. The short readable essays frame basic issues, provide background, and suggest alternatives to the traditional separation between technical and academic mathematics. They are accompanied by intriguing multipart problems that illustrate how deep mathematics functions in everyday settingsâ€"from analysis of ambulance response times to energy utilization, from buying a used car to "rounding off" to simplify problems. The book addresses the role of standards in mathematics education, discussing issues such as finding common ground between science and mathematics education standards, improving the articulation from school to work, and comparing SAT results across settings. Experts discuss how to develop curricula so that students learn to solve problems they are likely to encounter in lifeâ€"while also providing them with approaches to unfamiliar problems. The book also addresses how teachers can help prepare students for postsecondary education. For teacher education the book explores the changing nature of pedagogy and new approaches to teacher development. What kind of teaching will allow mathematics to be a guide rather than a gatekeeper to many career paths? Essays discuss pedagogical implication in problem-centered teaching, the role of complex mathematical tasks in teacher education, and the idea of making open-ended tasksâ€"and the student work they elicitâ€"central to professional discourse. High School Mathematics at Work presents thoughtful views from experts. It identifies rich possibilities for teaching mathematics and preparing students for the technological challenges of the future. This book will inform and inspire teachers, teacher educators, curriculum developers, and others involved in improving mathematics education and the capabilities of tomorrow's work force.

Author : Lingguo Bu,Robert Schoen
Publisher : Springer Science & Business Media
Page : 249 pages
File Size : 50,8 Mb
Release : 2012-01-01
Category : Education
ISBN : 9789460916182

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Model-Centered Learning by Lingguo Bu,Robert Schoen Pdf

Model-Centered Learning: Pathways to Mathematical Understanding Using GeoGebra is the first book to report on the international use of GeoGebra and its growing impact on mathematics teaching and learning. Supported by new developments in model-centered learning and instruction, the chapters in this book move beyond the traditional views of mathematics and mathematics teaching, providing theoretical perspectives and examples of practice for enhancing students’ mathematical understanding through mathematical and didactical modeling. Designed specifically for teaching mathematics, GeoGebra integrates dynamic multiple representations in a conceptually rich learning environment that supports the exploration, construction, and evaluation of mathematical models and simulations. The open source nature of GeoGebra has led to a growing international community of mathematicians, teacher educators, and classroom teachers who seek to tackle the challenges and complexity of mathematics education through a grassroots initiative using instructional innovations. The chapters cover six themes: 1) the history, philosophy, and theory behind GeoGebra, 2) dynamic models and simulations, 3) problem solving and attitude change, 4) GeoGebra as a cognitive and didactical tool, 5) curricular challenges and initiatives, 6) equity and sustainability in technology use. This book should be of interest to mathematics educators, mathematicians, and graduate students in STEM education and instructional technologies.

Author : Daniel Zaccaro,Edward Zaccaro
Publisher : Unknown
Page : 128 pages
File Size : 49,8 Mb
Release : 2021-07
Category : Electronic
ISBN : 0985472545

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Pathways to Mathematical Understanding: Early Childhood to Middle School by Daniel Zaccaro,Edward Zaccaro Pdf

Most parents and teachers know that reading to children is an important part of developing literacy, but unfortunately, when it comes to developing mathematical thinking, these same parents and teachers sometimes feel confused and inadequate about how best to jumpstart their young children's interest in and understanding of numbers. Pathway to Mathematical Understanding in Early Childhood contains easy to understand explanations of important number concepts, along with activities and resources to develop them. In other words, this book contains the pathway not only to mathematical excellence, but also a love of math!

Author : Ron Buckmire,Jessica M. Libertini
Publisher : Springer Nature
Page : 94 pages
File Size : 43,6 Mb
Release : 2021-03-18
Category : Education
ISBN : 9783030617172

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Improving Applied Mathematics Education by Ron Buckmire,Jessica M. Libertini Pdf

This book presents various contemporary topics in applied mathematics education and addresses both interested undergraduate instructors and STEM education researchers. The diverse set of topics of this edited volume range from analyzing the demographics of the United States mathematics community, discussing the teaching of calculus using modern tools, engaging students to use applied mathematics to learn about and solve problems of global significance, developing a general education course for humanities and social sciences students that features applications of mathematics, and describing local mathematical modeling competitions and their use in providing authentic experiences for students in applying mathematics to real world situations. The authors represent diversity along multiple dimensions of difference: race, gender, institutional affiliation, and professional experience.

Author : Nelson Education Limited
Publisher : Unknown
Page : 128 pages
File Size : 52,8 Mb
Release : 2021-09
Category : Electronic
ISBN : 017694348X

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My Math Path by Nelson Education Limited Pdf

Author : Titu Andreescu,Kathy Cordeiro,Alina Andreescu
Publisher : John Wiley & Sons
Page : 288 pages
File Size : 48,5 Mb
Release : 2019-11-13
Category : Education
ISBN : 9781119575719

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Awesome Math by Titu Andreescu,Kathy Cordeiro,Alina Andreescu Pdf

Help your students to think critically and creatively through team-based problem solving instead of focusing on testing and outcomes. Professionals throughout the education system are recognizing that standardized testing is holding students back. Schools tend to view children as outcomes rather than as individuals who require guidance on thinking critically and creatively. Awesome Math focuses on team-based problem solving to teach discrete mathematics, a subject essential for success in the STEM careers of the future. Built on the increasingly popular growth mindset, this timely book emphasizes a problem-solving approach for developing the skills necessary to think critically, creatively, and collaboratively. In its current form, math education is a series of exercises: straightforward problems with easily-obtained answers. Problem solving, however, involves multiple creative approaches to solving meaningful and interesting problems. The authors, co-founders of the multi-layered educational organization AwesomeMath, have developed an innovative approach to teaching mathematics that will enable educators to: Move their students beyond the calculus trap to study the areas of mathematics most of them will need in the modern world Show students how problem solving will help them achieve their educational and career goals and form lifelong communities of support and collaboration Encourage and reinforce curiosity, critical thinking, and creativity in their students Get students into the growth mindset, coach math teams, and make math fun again Create lesson plans built on problem based learning and identify and develop educational resources in their schools Awesome Math: Teaching Mathematics with Problem Based Learning is a must-have resource for general education teachers and math specialists in grades 6 to 12, and resource specialists, special education teachers, elementary educators, and other primary education professionals.

Author : Rina Zazkis,John Mason,Igor' Kontorovich
Publisher : Taylor & Francis
Page : 229 pages
File Size : 44,7 Mb
Release : 2021-05-23
Category : Education
ISBN : 9780429757969

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The Learning and Teaching of Number by Rina Zazkis,John Mason,Igor' Kontorovich Pdf

Numbers are the backbones of mathematics. From 1 to infinity, numbers accompany and underlie the learning of mathematics and research. While perceived as familiar and understood, numbers present fascinating and often mysterious patterns, relationships and pedagogical issues. The Learning and Teaching of Number explores how mathematics education research has addressed issues related to the structure of numbers and number operations and provides a classroom context. It invites readers to explore less-travelled paths through a well-trodden terrain of number. This fascinating book combines mathematical content with pedagogical ideas and research results. Focusing on number, the book illustrates central ideas related to numbers via a variety of tasks at different levels of complexity. The Learning and Teaching of Number will allow the reader to examine and develop personal understanding of number sets and the relationships among them; enhance personal understanding of familiar topics associated with number operations; engage in a variety of tasks and strengthen personal problem-solving skills; enrich their repertoire of mathematical tasks and pedagogical actions; and consider research ideas and results related to teaching numbers, number operations and number relationships. This is a valuable resource for teacher education courses, graduate programs in mathematics education and professional development programs. Teacher trainers and maths teachers will find their personal understanding of numbers and relationships enriched and will draw connections between research and classroom pedagogy which will extend and enhance their teaching.