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Etude Didactique Et Cognitive Des Rapports De Largumentation Et De La Demonstration Dans Lapprentissage Des Mathematiques
Download Etude Didactique Et Cognitive Des Rapports De Largumentation Et De La Demonstration Dans Lapprentissage Des Mathematiques full books in PDF, epub, and Kindle. Read online Etude Didactique Et Cognitive Des Rapports De Largumentation Et De La Demonstration Dans Lapprentissage Des Mathematiques ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
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 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 European Traditions in Didactics of Mathematics by : Werner Blum
Download or read book European Traditions in Didactics of Mathematics written by Werner Blum and published by Springer. This book was released on 2019-02-18 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states. It shows that while they all share common features both in the practice of learning and teaching at school and in research and development, they each have special features due to specific historical and cultural developments. The book also presents interesting historical facts about these didactic traditions, the theories and examples developed in these countries.
Book Synopsis Theory of Didactical Situations in Mathematics by : Guy Brousseau
Download or read book Theory of Didactical Situations in Mathematics written by Guy Brousseau and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique. It gathers texts which give the best presentation of the principles and key concepts of the Theory of Didactical Situations that Guy Brousseau developed in the period from 1970 to 1990. These texts provide a comprehensive presentation of the Theory. In order to facilitate the reading of certain points footnotes have been added, as well as preludes and interludes to place in context the chosen texts and clarify the construction of the book.
Book Synopsis Thinking as Communicating by : Anna Sfard
Download or read book Thinking as Communicating written by Anna Sfard and published by Cambridge University Press. This book was released on 2008-01-21 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an attempt to change our thinking about thinking. Anna Sfard undertakes this task convinced that many long-standing, seemingly irresolvable quandaries regarding human development originate in ambiguities of the existing discourses on thinking. Standing on the shoulders of Vygotsky and Wittgenstein, the author defines thinking as a form of communication. The disappearance of the time-honoured thinking-communicating dichotomy is epitomised by Sfard's term, commognition, which combines communication with cognition. The commognitive tenet implies that verbal communication with its distinctive property of recursive self-reference may be the primary source of humans' unique ability to accumulate the complexity of their action from one generation to another. The explanatory power of the commognitive framework and the manner in which it contributes to our understanding of human development is illustrated through commognitive analysis of mathematical discourse accompanied by vignettes from mathematics classrooms.
Book Synopsis Task Design In Mathematics Education by : Anne Watson
Download or read book Task Design In Mathematics Education written by Anne Watson and published by Springer. This book was released on 2015-10-26 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This open access book is the product of ICMI Study 22 Task Design in Mathematics Education. The study offers a state-of-the-art summary of relevant research and goes beyond that to develop new insights and new areas of knowledge and study about task design. The authors represent a wide range of countries and cultures and are leading researchers, teachers and designers. In particular, the authors develop explicit understandings of the opportunities and difficulties involved in designing and implementing tasks and of the interfaces between the teaching, researching and designing roles – recognising that these might be undertaken by the same person or by completely separate teams. Tasks generate the activity through which learners meet mathematical concepts, ideas, strategies and learn to use and develop mathematical thinking and modes of enquiry. Teaching includes the selection, modification, design, sequencing, installation, observation and evaluation of tasks. The book illustrates how task design is core to effective teaching, whether the task is a complex, extended, investigation or a small part of a lesson; whether it is part of a curriculum system, such as a textbook, or promotes free standing activity; whether the task comes from published source or is devised by the teacher or the student.
Book Synopsis Handbook of Research on the Psychology of Mathematics Education by : Angel Gutiérrez
Download or read book Handbook of Research on the Psychology of Mathematics Education written by Angel Gutiérrez and published by Sense Publishers. This book was released on 2006 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation in 1976. The first three sections summarize cognitively-oriented research on learning and teaching specific content areas, transversal areas, and based on technology-rich environments. The fourth section is devoted to the research on social, affective, cultural and cognitive aspects of mathematics education. The fifth section includes two chapters summarizing the PME research on teacher training and professional life of mathematics teachers.
Book Synopsis Abduction, Reason and Science by : L. Magnani
Download or read book Abduction, Reason and Science written by L. Magnani and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book ties together the concerns of philosophers of science and AI researchers, showing for example the connections between scientific thinking and medical expert systems. It lays out a useful general framework for discussion of a variety of kinds of abduction. It develops important ideas about aspects of abductive reasoning that have been relatively neglected in cognitive science, including the use of visual and temporal representations and the role of abduction in the withdrawal of hypotheses.
Book Synopsis Research in Collegiate Mathematics Education III by : James J. Kaput
Download or read book Research in Collegiate Mathematics Education III written by James J. Kaput and published by American Mathematical Soc.. This book was released on 1998 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 3 of Research in Collegiate Mathematics Education (RCME) presents state-of-the-art research on understanding, teaching and learning mathematics at the post-secondary level. This volume contains information on methodology and research concentrating on these areas of student learning: Problem Solving; Understanding Concepts; and Understanding Proofs.
Book Synopsis Statistical Implicative Analysis by : Régis Gras
Download or read book Statistical Implicative Analysis written by Régis Gras and published by Springer Science & Business Media. This book was released on 2008-04-29 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical implicative analysis is a data analysis method created by Régis Gras almost thirty years ago which has a significant impact on a variety of areas ranging from pedagogical and psychological research to data mining. Statistical implicative analysis (SIA) provides a framework for evaluating the strength of implications; such implications are formed through common knowledge acquisition techniques in any learning process, human or artificial. This new concept has developed into a unifying methodology, and has generated a powerful convergence of thought between mathematicians, statisticians, psychologists, specialists in pedagogy and last, but not least, computer scientists specialized in data mining. This volume collects significant research contributions of several rather distinct disciplines that benefit from SIA. Contributions range from psychological and pedagogical research, bioinformatics, knowledge management, and data mining.
Book Synopsis Understanding in Mathematics by : Anna Sierpinska
Download or read book Understanding in Mathematics written by Anna Sierpinska and published by Routledge. This book was released on 2013-01-11 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of understanding in mathematics with regard to mathematics education is considered in this volume. The main problem for mathematics teachers being how to facilitate their students' understanding of the mathematics being taught. In combining elements of maths, philosophy, logic, linguistics and the psychology of maths education from her own and European research, Dr Sierpinska considers the contributions of the social and cultural contexts to understanding. The outcome is an insight into both mathematics and understanding.
Book Synopsis Philosophy manual: a South-South perspective by : Chanthalangsy, Phinith
Download or read book Philosophy manual: a South-South perspective written by Chanthalangsy, Phinith and published by UNESCO Publishing. This book was released on 2014-12-31 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Perspectives on School Algebra by : Rosamund Sutherland
Download or read book Perspectives on School Algebra written by Rosamund Sutherland and published by Springer Science & Business Media. This book was released on 2006-02-16 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book confronts the issue of how young people can find a way into the world of algebra. It represents multiple perspectives which include an analysis of situations in which algebra is an efficient problem-solving tool, the use of computer-based technologies, and a consideration of the historical evolution of algebra. The book emphasizes the situated nature of algebraic activity as opposed to being concerned with identifying students' conceptions in isolation from problem-solving activity.
Book Synopsis Peirce's Theory of Abduction by : K. T. Fann
Download or read book Peirce's Theory of Abduction written by K. T. Fann and published by . This book was released on 2020-10-15 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph attempts to clarify one significant but much neglected aspect of Peirce's contribution to the Philosophy of Science. Peirce claimed that besides deduction and induction there was another type of reasoning which he called abduction. Abduction is the reasoning process by which new ideas, explanatory hypotheses, and scientific theories are engendered. It is the logic of discovery and the essence of Pierce's pragmatism. Peirce returned repeatedly to the investigation of the logic of abduction during his long creative life. His writings on the subject are typically fragmentary and diverse. They fall roughly into two periods. In the early period Peirce treated inference, and hence abduction, as an evidencing process. The three kinds of inference were considered independent forms of reasoning. In the later period the concept of inference was widened to include methodological as well as evidencing process. The three types of reasoning became three stages of inquiry. The author has reconstructed a consistant account of Peirce's theory of abduction. In Part I the attention is focused on the chronological development of Peirce's early theory, so that the later theory may be understood more clearly in the light of the earlier views. Part II contains a systematic presentation of the later theory and a critical analysis of Peirce's contribution to the study of the logic of discovery.
Book Synopsis Interactive Multimedia in Education and Training by : Sanjaya Mishra
Download or read book Interactive Multimedia in Education and Training written by Sanjaya Mishra and published by IGI Global. This book was released on 2005-01-01 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text emerges out of the need to share information and knowledge on the research and practices of using multimedia in various educational settings. It discusses issues relating to planning, designing and development of interactive multimedia, offering research data.
Book Synopsis A Research Companion to Principles and Standards for School Mathematics by : Jeremy Kilpatrick
Download or read book A Research Companion to Principles and Standards for School Mathematics written by Jeremy Kilpatrick and published by National Council of Teachers of English. This book was released on 2003 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: An analysis of how educational research is applied in the process of setting standards for school mathematics. The text focuses on research derived from a wide array of areas, including professional development of teachers, mathematics assessment, and literature on curriculum topics.
Book Synopsis Perspectives on the Teaching of Geometry for the 21st Century by : C. Mammana
Download or read book Perspectives on the Teaching of Geometry for the 21st Century written by C. Mammana and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years geometry seems to have lost large parts of its former central position in mathematics teaching in most countries. However, new trends have begun to counteract this tendency. There is an increasing awareness that geometry plays a key role in mathematics and learning mathematics. Although geometry has been eclipsed in the mathematics curriculum, research in geometry has blossomed as new ideas have arisen from inside mathematics and other disciplines, including computer science. Due to reassessment of the role of geometry, mathematics educators and mathematicians face new challenges. In the present ICMI study, the whole spectrum of teaching and learning of geometry is analysed. Experts from all over the world took part in this study, which was conducted on the basis of recent international research, case studies, and reports on actual school practice. This book will be of particular interest to mathematics educators and mathematicians who are involved in the teaching of geometry at all educational levels, as well as to researchers in mathematics education.
