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Le Cognitif En Didactique Des Mathematiques
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Book Synopsis The Didactics of Mathematics: Approaches and Issues by : Bernard R Hodgson
Download or read book The Didactics of Mathematics: Approaches and Issues written by Bernard R Hodgson and published by Springer. This book was released on 2016-07-10 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the outcome of a conference organised in 2012 in Paris as a homage to Michèle Artigue, is based on the main component of this event. However, it offers more than a mere reflection of the conference in itself, as various well-known researchers from the field have been invited to summarize the main topics where the importance of Artigue’s contribution is unquestionable. Her multiple interest areas, as a researcher involved in a wider community, give to this volume its unique flavour of diversity. Michèle Artigue (ICMI 2013 Felix Klein Award, CIAEM 2015 Luis Santaló Award) is without doubt one of the most influential researchers nowadays in the field of didactics of mathematics. This influence rests both on the quality of her research and on her constant contribution, since the early 1970s, to the development of the teaching and learning of mathematics. Observing her exemplary professional history, one can witness the emergence, the development, and the main issues of didactics of mathematics as a specific research field.
Book Synopsis Le cognitif en didactique des mathématiques by : François Conne
Download or read book Le cognitif en didactique des mathématiques written by François Conne and published by PUM. This book was released on 1999 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Que peut-on apprendre des conduites des élèves en situation d'enseignement des mathématiques ? Que révèlent les interactions enseignant-élèves ? Ou, pour le dire en termes de didactique, quelle place occupe le cognitif dans les situations d'enseignement ? C'est à cette question, dans les multiples aspects qu'elle peut prendre, que répondent les collaborateurs de cet ouvrage, des didacticiens bien connus de France, du Québec et de Suisse. La première partie offre une synthèse des différentes théories du cognitif, notamment de la théorie des situations. Elle propose diverses modélisations des rapports du cognitif au didactique, qui permettent de mieux en appréhender la complexité. La seconde partie présente et analyse des situations concrètes d'apprentissage et d'enseignement, où ces rapports se trouvent clarifiés et illustrés. Ce livre intéressera, bien sûr, les didacticiens et ceux qui enseignent les mathématiques, mais aussi, plus largement, tous les enseignants qui s'interrogent sur leur pratique.
Book Synopsis Beyond the Apparent Banality of the Mathematics Classroom by : Colette Laborde
Download or read book Beyond the Apparent Banality of the Mathematics Classroom written by Colette Laborde and published by Springer Science & Business Media. This book was released on 2007-03-11 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: New research in mathematics education deals with the complexity of the mathematics’ classroom. The classroom teaching situation constitutes a pertinent unit of analysis for research into the ternary didactic relationship which binds teachers, students and mathematical knowledge. The classroom is considered as a complex didactic system, which offers the researcher an opportunity to gauge the boundaries of the freedom that is left with regard to choices about the knowledge to be taught and the ways of organizing the students’ learning, while giveing rise to the study of interrelations between three main elements of the teaching process the: mathematical content to be taught and learned, management of the various time dimensions, and activity of the teacher who prepares and manages the class, to the benefit of the students' knowledge and the teachers' own experience. This volume, reprinted from Educational Studies in Mathematics, Volume 59, focuses on classroom situations as a unit of analysis, the work of the teacher, and is strongly anchored in original theoretical frameworks. The contributions are formulated from the perspective of one or more theoretical frameworks but they are tackled by means of empirical investigations.
Book Synopsis Technology in Mathematics Teaching by : Gilles Aldon
Download or read book Technology in Mathematics Teaching written by Gilles Aldon and published by Springer. This book was released on 2019-07-01 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises chapters featuring a state of the art of research on digital technology in mathematics education. The chapters are extended versions of a selection of papers from the Proceedings of the 13th International Conference on Technology in Mathematics Teaching (ICTMT-13), which was held in Lyon, France, from July 3rd to 6th. ICTMT-13 gathered together over one hundred participants from twenty countries sharing research and empirical results on the topical issues of technology and its potential to improve mathematics teaching and learning. The chapters are organised into 4 themed parts, namely assessment in mathematics education and technology, which was the main focus of the conference, innovative technology and approaches to mathematics education, teacher education and professional development toward the technology use, and mathematics teaching and learning experiences with technology. In 13 chapters contained in the book, prominent mathematics educators from all over the world present the most recent theoretical and practical advances on these themes This book is of particular interest to researchers, teachers, teacher educators and other actors interested in digital technology in mathematics education.
Book Synopsis Uses of Technology in Primary and Secondary Mathematics Education by : Lynda Ball
Download or read book Uses of Technology in Primary and Secondary Mathematics Education written by Lynda Ball and published by Springer. This book was released on 2018-05-14 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis From Text to 'Lived' Resources by : Ghislaine Gueudet
Download or read book From Text to 'Lived' Resources written by Ghislaine Gueudet and published by Springer Science & Business Media. This book was released on 2011-09-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: What kinds of curriculum materials do mathematics teachers select and use, and how? This question is complex, in a period of deep evolutions of teaching resources, with the proficiency of online resources in particular. How do teachers learn from these materials, and in which ways do they ‘tailor’ them for their use and pupil learning? Teachers collect resources, select, transform, share, implement, and revise them. Drawing from the French term « ingénierie documentaire »,we call these processes « documentation ». The literal English translation is « to work with documents », but the meaning it carries is richer. Documentation refers to the complex and interactive ways that teachers work with resources; in-class and out-of-class, individually, but also collectively.
Book Synopsis Learning and Teaching Mathematics by : Peter Bryant
Download or read book Learning and Teaching Mathematics written by Peter Bryant and published by Psychology Press. This book was released on 2016-01-28 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Newly available in paperback. Results of exciting new research.
Book Synopsis The 'Resource' Approach to Mathematics Education by : Luc Trouche
Download or read book The 'Resource' Approach to Mathematics Education written by Luc Trouche and published by Springer Nature. This book was released on 2019-11-29 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume will help educators better analyze methodological and practical tools designed to aid classroom instruction. It features papers that explore the need to create a system in order to fully meet the uncertainties and developments of modern educational phenomena. These have emerged due to the abundance of digital resources and new forms of collective work. The collected papers offer new perspectives to a rising field of research known as the Documentational Approach to Didactics. This framework was first created by the editors of this book. It seeks to develop a deeper understanding of mathematics teaching expertise. Readers will gain insight into how to meet the theoretical questions brought about by digitalization. These include: how to analyze teachers’ work when they prepare for their teaching, how to conceptualize the relationships between individual and collective work, and how to follow the related processes over the long term. The contributors also provide a comparative view in terms of contrasting selected phenomena across different educational cultures and education systems. For instance, they consider how differences in curriculum resources are available to teachers and how teachers make use of them to shape instruction. Coverage also considers the extent to which teachers make use of additional material, particularly those available through the global marketplace on the Internet. This book builds on works from the Re(s)sources 2018 Conference, Understanding teachers’ work through their interactions with resources for teaching, held in Lyon, France.
Book Synopsis Didactics of Mathematics as a Scientific Discipline by : Rolf Biehler
Download or read book Didactics of Mathematics as a Scientific Discipline written by Rolf Biehler and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics. Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science.
Book Synopsis Explanation and Proof in Mathematics by : Gila Hanna
Download or read book Explanation and Proof in Mathematics written by Gila Hanna and published by Springer Science & Business Media. This book was released on 2009-12-04 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has been paid to the process of proof and argumentation in the field -- a development paralleled by the rise of computer technology and the mounting interest in the logical underpinnings of mathematics. Explanantion and Proof in Mathematics assembles perspectives from mathematics education and from the philosophy and history of mathematics to strengthen mutual awareness and share recent findings and advances in their interrelated fields. With examples ranging from the geometrists of the 17th century and ancient Chinese algorithms to cognitive psychology and current educational practice, contributors explore the role of refutation in generating proofs, the varied links between experiment and deduction, the use of diagrammatic thinking in addition to pure logic, and the uses of proof in mathematics education (including a critique of "authoritative" versus "authoritarian" teaching styles). A sampling of the coverage: The conjoint origins of proof and theoretical physics in ancient Greece. Proof as bearers of mathematical knowledge. Bridging knowing and proving in mathematical reasoning. The role of mathematics in long-term cognitive development of reasoning. Proof as experiment in the work of Wittgenstein. Relationships between mathematical proof, problem-solving, and explanation. Explanation and Proof in Mathematics is certain to attract a wide range of readers, including mathematicians, mathematics education professionals, researchers, students, and philosophers and historians of mathematics.
Book Synopsis Research in Collegiate Mathematics Education VII by : Fernando Hitt
Download or read book Research in Collegiate Mathematics Education VII written by Fernando Hitt and published by American Mathematical Soc.. This book was released on 2010-03-05 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume of Research in Collegiate Mathematics Education, like previous volumes in this series, reflects the importance of research in mathematics education at the collegiate level. The editors in this series encourage communication between mathematicians and mathematics educators, and as pointed out by the International Commission of Mathematics Instruction (ICMI), much more work is needed in concert with these two groups. Indeed, editors of RCME are aware of this need and the articles published in this series are in line with that goal. Nine papers constitute this volume. The first two examine problems students experience when converting a representation from one particular system of representations to another. The next three papers investigate students learning about proofs. In the next two papers, the focus is instructor knowledge for teaching calculus. The final two papers in the volume address the nature of ``conception'' in mathematics. Whether they are specialists in education or mathematicians interested in finding out about the field, readers will obtain new insights about teaching and learning and will take away ideas that they can use.
Book Synopsis Mathematics Classrooms: Students’ Activities and Teachers’ Practices by : Fabrice Vandebrouck
Download or read book Mathematics Classrooms: Students’ Activities and Teachers’ Practices written by Fabrice Vandebrouck and published by Springer Science & Business Media. This book was released on 2013-09-03 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: With cooperation of Aline Robert, Janine Rogalski, Maha Abboud-Blanchard, Claire Cazes, Monique Chappet-Pariès, Aurélie Chesnais, Christophe Hache, Julie Horoks, Eric Roditi & Nathalie Sayac. This book presents unique insights into a significant area of French research relating the learning and teaching of mathematics in school classrooms and their development. Having previously had only glimpses of this work, I have found the book fascinating in its breadth of theory, its links between epistemological, didactic and cognitive perspectives and its comprehensive treatment of student learning of mathematics, classroom activity, the work of teachers and prospective teacher development. Taking theoretical perspectives as their starting points, the authors of this volume present a rich array of theoretically embedded studies of mathematics teaching and learning in school classrooms. Throughout this book the reader is made aware of many unanswered questions and challenged to consider associated theoretical and methodological issues. For English-speaking communities who have lacked opportunity to access the French literature the book opens up a wealth of new ways of thinking about and addressing unresolved issues in mathematics learning, teaching and teacher education. I recommend it wholeheartedly! (Extract from Barbara Jaworski’s preface.)
Download or read book Theorems in School written by Paolo Boero and published by Sense Publishers. This book was released on 2007 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, addressing mathematics educators, teacher-trainers and teachers, is published as a contribution to the endeavour of renewing the teaching of proof (and theorems) on the basis of historical-epistemological, cognitive and didactical considerations.
Book Synopsis Research and Development in University Mathematics Education by : Viviane Durand-Guerrier
Download or read book Research and Development in University Mathematics Education written by Viviane Durand-Guerrier and published by Routledge. This book was released on 2021-04-15 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last thirty years or so, the need to address the challenges of teaching and learning mathematics at university level has become increasingly appreciated by university mathematics teachers, and beyond, by educational institutions around the world. Indeed, mathematics is both a condition and an obstacle to success for students in many educational programmes vital to the 21st century knowledge society, for example in pure and applied mathematics, engineering, natural sciences, technology, economics, finance, management and so on. This breadth of impact of mathematics implies the urgency of developing research in university mathematics education, and of sharing results of this research widely. This book provides a bespoke opportunity for an international audience of researchers in didactics of mathematics, mathematicians and any teacher or researcher with an interest in this area to be informed about state-of-the-art developments and to heed future research agendas. This book emerged from the activities of the research project INDRUM (acronym for International Network for Didactic Research in University Mathematics), which aims to contribute to the development of research in didactics of mathematics at all levels of tertiary education, with a particular concern for the development of early-career researchers in the field and for dialogue with university mathematicians. The aim of the book is to provide a deep synthesis of the research field as it appears through two INDRUM conferences organised in 2016 and 2018. It is an original contribution which highlights key research perspectives, addresses seminal theoretical and methodological issues and reports substantial results concerning the teaching and learning of mathematics at university level, including the teaching and learning of specific topics in advanced mathematics across a wide range of university programmes.
Book Synopsis On the Teaching of Linear Algebra by : J.-L. Dorier
Download or read book On the Teaching of Linear Algebra written by J.-L. Dorier and published by Springer Science & Business Media. This book was released on 2005-12-27 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art research on the teaching and learning of linear algebra in the first year of university, in an international perspective. It provides university teachers in charge of linear algebra courses with a wide range of information from works including theoretical and experimental issues.
Book Synopsis Mathematics for Tomorrow’s Young Children by : C.S. Mansfield
Download or read book Mathematics for Tomorrow’s Young Children written by C.S. Mansfield and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Social constructivism is just one view of learning that places emphasis on the social aspects of learning. Other theoretical positions, such as activity theory, also emphasise the importance of social interactions. Along with social constructivism, Vygotsky's writings on children's learning have recently also undergone close scru tiny and researchers are attempting a synthesis of aspects ofVygotskian theory and social constructivism. This re-examination of Vygotsky's work is taking place in many other subject fields besides mathematics, such as language learning by young children. It is interesting to speculate why Vygotsky's writings have appealed to so many researchers in different cultures and decades later than his own times. Given the recent increased emphasis on the social nature of learning and on the interactions between student, teacher and context factors, a finer grained analysis of the nature of different theories of learning now seems to be critical, and it was considered that different views of students' learning of mathematics needed to be acknowledged in the discussions of the Working Group.
Book Synopsis Devolution and Autonomy in Education by : Pablo Buznic-Bourgeacq
Download or read book Devolution and Autonomy in Education written by Pablo Buznic-Bourgeacq and published by John Wiley & Sons. This book was released on 2021-08-03 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Allowing learners to take some responsibility may seem obvious yet what is actually afforded to them, and how this process works, remains difficult to grasp. It is therefore essential to study the real objects of devolution and the roles played by the subjects involved. Devolution and Autonomy in Education questions the concept of devolution, introduced into the field of education in the 1980s from disciplinary didactics, and described in Guy Brousseau’s Theory of Didactical Situations in Mathematics as: the act by which the teacher makes the student take responsibility for a learning situation (adidactic) or problem and accepts the consequences of this transfer. The book revisits this concept through a variety of subject areas (mathematics, French, physical education, life sciences, digital learning, play) and educational domains (teaching, training, facilitation). Using these intersecting perspectives, this book also examines the purpose and timeline of the core process for thinking about autonomy and empowerment in education.
