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Author : Louis Scott Davis
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (654 download)
Download or read book An Empirical Search for Styles of Mathematical Reasoning written by Louis Scott Davis and published by . This book was released on 1956 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jerzy Pogonowski
Publisher :
ISBN 13 : 3643963106
Total Pages : 118 pages
Book Rating : 4.6/5 (439 download)
Download or read book Essays on Mathematical Reasoning written by Jerzy Pogonowski and published by . This book was released on 2020 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : BRILL
ISBN 13 : 9004396446
Total Pages : 255 pages
Book Rating : 4.0/5 (43 download)
Download or read book Researching and Using Progressions (Trajectories) in Mathematics Education written by and published by BRILL. This book was released on 2019-02-04 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a contemporary focus on significant issues in STEM teaching, learning and research that are valuable in preparing students for a digital 21st century. The book chapters cover a wide spectrum of issues and topics using a wealth of research methodologies and methods.
Author : Sung Je Cho
Publisher : Springer
ISBN 13 : 3319126881
Total Pages : 617 pages
Book Rating : 4.3/5 (191 download)
Download or read book The Proceedings of the 12th International Congress on Mathematical Education written by Sung Je Cho and published by Springer. This book was released on 2015-02-10 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.
Author : Dietrich Albert
Publisher : Psychology Press
ISBN 13 : 1135681813
Total Pages : 288 pages
Book Rating : 4.1/5 (356 download)
Download or read book Knowledge Spaces written by Dietrich Albert and published by Psychology Press. This book was released on 1999-08-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the formal concept of "knowledge structures" originally proposed by Jean-Claude Falmagne and Jean-Paul Doignon, this book contains descriptions of methodological developments and experimental investigations as well as applications for various knowledge domains. The authors address three main topics: * theoretical issues and extensions of Doignon & Falmagne's theory of knowledge structures; * empirical validations of specific problem types and knowledge domains, such as sentence comprehension, problem solving in chess, inductive reasoning, elementary mathematical reasoning, and others; and * application of knowledge structures in various contexts, including knowledge assessment, intelligent tutoring systems, and motor learning. Unlike most other approaches in the literature in cognitive psychology, this book provides both a rigorous mathematical formulation of knowledge-related psychological concepts and its empirical validation by experimental data.
Author : David A. Reid
Publisher : BRILL
ISBN 13 : 946091246X
Total Pages : 265 pages
Book Rating : 4.4/5 (69 download)
Download or read book Proof in Mathematics Education written by David A. Reid and published by BRILL. This book was released on 2010-01-01 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research on teaching and learning proof and proving has expanded in recent decades. This reflects the growth of mathematics education research in general, but also an increased emphasis on proof in mathematics education.
Author : Sung Je Cho
Publisher : Springer
ISBN 13 : 3319171879
Total Pages : 917 pages
Book Rating : 4.3/5 (191 download)
Download or read book Selected Regular Lectures from the 12th International Congress on Mathematical Education written by Sung Je Cho and published by Springer. This book was released on 2015-07-16 with total page 917 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the full selected Regular Lectures from the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 4700 experts from 100 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. These selected Regular Lectures present the work of fifty-one prominent mathematics educators from all over the globe. The Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
Author : Gila Hanna
Publisher : Springer Science & Business Media
ISBN 13 : 9400721293
Total Pages : 468 pages
Book Rating : 4.4/5 (7 download)
Download or read book Proof and Proving in Mathematics Education written by Gila Hanna and published by Springer Science & Business Media. This book was released on 2012-06-14 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: *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.
Author : P. Mancosu
Publisher : Springer Science & Business Media
ISBN 13 : 1402033354
Total Pages : 315 pages
Book Rating : 4.4/5 (2 download)
Download or read book Visualization, Explanation and Reasoning Styles in Mathematics written by P. Mancosu and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundational crisis in the beginning of that century. These views have primarily focused on questions pertaining to the logical structure of mathematics and questions regarding the justi?cation and consistency of mathematics. Paradigmatic in this - spect is Hilbert’s program which inherits from Frege and Russell the project to formalize all areas of ordinary mathematics and then adds the requi- ment of a proof, by epistemically privileged means (?nitistic reasoning), of the consistency of such formalized theories. While interest in modi?ed v- sions of the original foundational programs is still thriving, in the second part of the twentieth century several philosophers and historians of mat- matics have questioned whether such foundational programs could exhaust the realm of important philosophical problems to be raised about the nature of mathematics. Some have done so in open confrontation (and hostility) to the logically based analysis of mathematics which characterized the cl- sical foundational programs, while others (and many of the contributors to this book belong to this tradition) have only called for an extension of the range of questions and problems that should be raised in connection with an understanding of mathematics. The focus has turned thus to a consideration of what mathematicians are actually doing when they produce mathematics. Questions concerning concept-formation, understanding, heuristics, changes instyle of reasoning, the role of analogies and diagrams etc.
Author : Lyn D. English
Publisher : Routledge
ISBN 13 : 1135192839
Total Pages : 830 pages
Book Rating : 4.1/5 (351 download)
Download or read book Handbook of International Research in Mathematics Education written by Lyn D. English and published by Routledge. This book was released on 2010-04-02 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition continues the mission of bringing together important new mathematics education research that makes a difference in both theory and practice. It updates and extends the Handbook’s original key themes and issues for international research in mathematics education for the 21st century, namely: priorities in international mathematics education research lifelong democratic access to powerful mathematical ideas advances in research methodologies influences of advanced technologies. Each of these themes is examined in terms of learners, teachers, and learning contexts, with theory development being an important component of all these aspects. This edition also examines other catalysts that have gained increased import in recent years including a stronger focus on the teacher and teacher practice, a renewed interest in theory development, an increased focus on the mathematics needed in work place settings, and a proliferation of research designs and methodologies that have provided unprecedented opportunities for investigating (and ultimately improving) mathematical teaching and learning. This edition includes ten totally new chapters; all other chapters are thoroughly revised and updated.
Author : Richard S. Kitchen
Publisher : Routledge
ISBN 13 : 1136895191
Total Pages : 234 pages
Book Rating : 4.1/5 (368 download)
Download or read book Transnational and Borderland Studies in Mathematics Education written by Richard S. Kitchen and published by Routledge. This book was released on 2012-08-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every year, significant numbers of immigrant children from Mexico enter classrooms in the United States. These immigrants comprise a heterogeneous group of students with diverse needs, abilities, and experiences. Transnational and Borderland Studies in Mathematics Education is the first collection to offer research studies across these communities. Providing invaluable research on both sending and receiving communities in Mexico and the US, this collection considers the multiple aspects of children’s experiences with mathematics, including curriculum, classroom participation structures, mathematical reasoning and discourse – both in and out of school – and parents’ perceptions and beliefs about mathematics instruction. An important treatment of an insufficiently documented subject, this collection brings together researchers on both sides of the border to foster and support an interest in documenting evidence that will set the stage for future studies in mathematics education.
Author : Michael D. Mumford
Publisher : Academic Press
ISBN 13 : 0123747147
Total Pages : 754 pages
Book Rating : 4.1/5 (237 download)
Download or read book Handbook of Organizational Creativity written by Michael D. Mumford and published by Academic Press. This book was released on 2011-08-17 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: Michael D. Mumford
Author : Leone Burton
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0313072000
Total Pages : 342 pages
Book Rating : 4.3/5 (13 download)
Download or read book Which Way Social Justice in Mathematics Education? written by Leone Burton and published by Bloomsbury Publishing USA. This book was released on 2003-02-28 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume explores equity and social justice within the field of mathematics education. In part one, Helga Jungwirth's introductory chapter provides a strong theoretical overview that is based in actual classroom behaviors and a typology that classifies the various interpretations found within this volume. Also in part one, Laurie Hart discusses developments in equity research in the United States. Part two focuses on results of studies about social justice and their impact on learning in mathematics classrooms in various parts of the world. For example, in a chapter on Peru, social justice does not just encompass gender, but also inequalities in opportunities to learn, such as problems of resources, living and social conditions, communal demands and language needs. And, part three focuses on computers as a resource to mathematics teaching. The contributors raise several important social justice issues which have previously remained unresearched. Although there are a number of chapters specifically dealing with gender, many of the authors use one of the following strategies: their gender-specific questions are set in a wider socio-cultural context, they challenge what have threatened to become false orthodoxies, or they raise other important issues. These other issues include the meaning of democratic citizenship for mathematics classrooms, the links between parents and children learning mathematics, and the preconceptions of some teachers of underprivileged students in Australia. Other chapters explore different forms of classroom communication, participation, and assessment. The pieces on computers state that there is still not enough research to conclude whether computers in the mathematics classrooms are supportive of, or detrimental to, the learning of all students. The one thing on which every author in this volume does agree is that social justice in mathematics education has still not been attained, but that we must strive toward it to improve educational practices and society in general.
Author : Douglas Grouws
Publisher : IAP
ISBN 13 : 1607528746
Total Pages : 784 pages
Book Rating : 4.6/5 (75 download)
Download or read book Handbook of Research on Mathematics Teaching and Learning written by Douglas Grouws and published by IAP. This book was released on 2006-11-01 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Ángel Gutiérrez
Publisher : Springer
ISBN 13 : 9463005617
Total Pages : 571 pages
Book Rating : 4.4/5 (63 download)
Download or read book The Second Handbook of Research on the Psychology of Mathematics Education written by Ángel Gutiérrez and published by Springer. This book was released on 2016-07-23 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its establishment in 1976, PME (The International Group for the Psychology of Mathematics Education) is serving as a much sought after venue for scientific debate among those at the cutting edge of the field, as well as an engine for the development of research in mathematics education. A wide range of research activities conducted over the last ten years by PME members and their colleagues are documented and critically reviewed in this handbook, released to celebrate the Group’s 40 year anniversary milestone. The book is divided into four main sections: Cognitive aspects of learning and teaching content areas; Cognitive aspects of learning and teaching transverse areas; Social aspects of learning and teaching mathematics; and Professional aspects of teaching mathematics. The selection for each chapter of a team of at least two authors, mostly located in different parts of the world, ensured effective coverage of each field. High quality was further enhanced by the scrupulous review of early chapter drafts by two leaders in the relevant field. The resulting volume with its compilation of the most relevant aspects of research in the field, and its emphasis on trends and future developments, will be a rich and welcome resource for both mature and emerging researchers in mathematics education.
Author : Marilyn E. Strutchens
Publisher : Springer
ISBN 13 : 3319910590
Total Pages : 324 pages
Book Rating : 4.3/5 (199 download)
Download or read book Educating Prospective Secondary Mathematics Teachers written by Marilyn E. Strutchens and published by Springer. This book was released on 2018-06-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights innovative approaches to preparing secondary mathematics teachers. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for preparing secondary mathematics teachers, and discusses issues related to their professional and personal growth, such as identity, content knowledge, and pedagogical content knowledge which also includes knowledge of integrating technology into teaching and learning mathematics. Divided into four parts, the book focuses on field experiences, technologies, tools and resources, teacher knowledge, and teacher professional identities. Some of the main threads running through the book are: the importance of university and school partners working together to ensure preservice secondary mathematics teacher’ success in developing pedagogical strategies that lead toward students’ mathematical engagement and achievement; the critical need for preservice secondary mathematics teachers to develop strong content knowledge and pedagogical content knowledge; and the importance of providing opportunities, during pre-service education, for developing prospective teachers ́professional identities.
Author : Angelika Bikner-Ahsbahs
Publisher : Springer
ISBN 13 : 9401791813
Total Pages : 587 pages
Book Rating : 4.4/5 (17 download)
Download or read book Approaches to Qualitative Research in Mathematics Education written by Angelika Bikner-Ahsbahs and published by Springer. This book was released on 2014-11-26 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies. Continuing the discussion as begun in the two 2003 ZDM issues dedicated to qualitative empirical methods, this book presents astate of the art overview on qualitative research in mathematics education and beyond. The structure of the book allows the reader to use it as an actual guide for the selection of an appropriate methodology, on a basis of both theoretical depth and practical implications. The methods and examples illustrate how different methodologies come to life when applied to a specific question in a specific context. Many of the methodologies described are also applicable outside mathematics education, but the examples provided are chosen so as to situate the approach in a mathematical context.
