Raisonnement Et Strat Gies De Preuve Dans L Enseignement Des Math Matiques
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Raisonnement Et Strat Gies De Preuve Dans L Enseignement Des Math Matiques
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Author : Philippe R. Richard
language : fr
Publisher: Peter Lang
Release Date : 2004
Raisonnement Et Strat Gies De Preuve Dans L Enseignement Des Math Matiques written by Philippe R. Richard and has been published by Peter Lang this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.
Que fait l'élève quand on lui demande de justifier ses propos en classe de mathématique? Cet ouvrage, une thèse au sens fort du terme, offre une reconstitution tout à fait originale des moyens d'expression mobilisés par l'élève en situation de validation. A travers une analyse qualitative illustrée d'exemples authentiques, le talent créateur des élèves face aux difficultés rencontrées dans la solution de problèmes est mis en évidence. Fondé sur des repères épistémologiques, didactiques et sémiotiques, le texte aborde les différentes stratégies de preuve utilisées par les élèves: rôle du raisonnement, des éléments du langage et des particularités de la figure géométrique; besoin du discours déductif ou de la démonstration; qualité d'une preuve, niveaux de conviction et patrons de conduite; influence du milieu et des nouvelles technologies. Il intéressera donc non seulement les didacticiens et enseignants de mathématiques, mais tout chercheur et enseignant passionnés par les voies multiples empruntées dans la classe pour fonder la pertinence d'une solution trouvée.
Problem Posing And Problem Solving In Mathematics Education
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Author : Tin Lam Toh
language : en
Publisher: Springer Nature
Release Date : 2024-01-01
Problem Posing And Problem Solving In Mathematics Education written by Tin Lam Toh and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-01 with Mathematics categories.
This book presents both theoretical and empirical contributions from a global perspective on problem solving and posing (PS/PP) and their application, in relation to the teaching and learning of mathematics in schools. The chapters are derived from selected presentations in the PS/PP Topical Study Group in ICME14. Although mathematical problem posing is a much younger field of inquiry in mathematics education, this topic has grown rapidly. The mathematics curriculum frameworks in many parts of the world have incorporated problem posing as an instructional focus, building on problem solving as its foundation. The juxtaposition of problem solving and problem posing in mathematics presented in this book addresses the needs of the mathematics education research and practice communities at the present day. In particular, this book aims to address the three key points: to present an overview of research and development regarding students’ mathematical problem solving and posing; to discuss new trends and developments in research and practice on these topics; and to provide insight into the future trends of mathematical problem solving and posing.
International Perspectives On The Teaching And Learning Of Geometry In Secondary Schools
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Author : Patricio Herbst
language : en
Publisher: Springer
Release Date : 2018-04-27
International Perspectives On The Teaching And Learning Of Geometry In Secondary Schools written by Patricio Herbst and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-27 with Education categories.
This book presents current perspectives on theoretical and empirical issues related to the teaching and learning of geometry at secondary schools. It contains chapters contributing to three main areas. A first set of chapters examines mathematical, epistemological, and curricular perspectives. A second set of chapters presents studies on geometry instruction and teacher knowledge, and a third set of chapters offers studies on geometry thinking and learning. Specific research topics addressed also include teaching practice, learning trajectories, learning difficulties, technological resources, instructional design, assessments, textbook analyses, and teacher education in geometry. Geometry remains an essential and critical topic in school mathematics. As they learn geometry, students develop essential mathematical thinking and visualization skills and learn a language that helps them relate to and interact with the physical world. Geometry has traditionally been included as a subject of study in secondary mathematics curricula, but it has also featured as a resource in out-of-school problem solving, and has been connected to various human activities such as sports, games, and artwork. Furthermore, geometry often plays a role in teacher preparation, undergraduate mathematics, and at the workplace. New technologies, including dynamic geometry software, computer-assisted design software, and geometric positioning systems, have provided more resources for teachers to design environments and tasks in which students can learn and use geometry. In this context, research on the teaching and learning of geometry will continue to be a key element on the research agendas of mathematics educators, as researchers continue to look for ways to enhance student learning and to understand student thinking and teachers’ decision making.
Mathematical Work In Educational Context
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Author : Alain Kuzniak
language : en
Publisher: Springer Nature
Release Date : 2022-03-31
Mathematical Work In Educational Context written by Alain Kuzniak and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-31 with Education categories.
This book is a friendly and complete introduction to one of the most comprehensive contemporary theories of mathematics teaching and learning. By focusing on mathematical work performed by students and teachers during mathematics session, the theory of Mathematical Workings Spaces (MWS) has opened up new perspectives and avenues on mathematics education and mathematical thinking. In particular, it enables the identification of students' knowledge production processes and helps teachers to shape them. The first part of the book explores the heart of the theory and aims to further describe and understand epistemological and cognitive aspects of mathematical work. The second part develops the different MWS dedicated to observing how this work depends on the expectations of educational systems, how it is formed and taught, and how individuals appropriate it. In the last part, some applications and perspectives are discussed regarding topics of major importance today in mathematics education which relate to technological and digital tools, teacher training and modeling activities. In line with the spirit of the theory, the book was written to reflect the conceptual unity at the heart of the theory of MWS and, at the same time, to show the freedom and diversity of approaches given space therein. Written for researchers and professionals in mathematics education, it offers plenty of concrete examples from different educational systems around the world to illustrate the theoretical concepts and show the applicability of the theory to practice and research.
Education Nouvelle Et Sciences De L Ducation
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Author : Bernard Schneuwly
language : en
Publisher: Peter Lang
Release Date : 2006
Education Nouvelle Et Sciences De L Ducation written by Bernard Schneuwly and has been published by Peter Lang this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Education categories.
This book is about the tumultuous and even passionate relationship between New Education and Educational Sciences, which are regarded as an inseparable «couple», intrinsically linked and surprisingly fruitful. Yet they remain irreconcilable and are mutually contradictory in a number of their elements and characteristics. Do Educational Sciences offer a scientific base or ideological support for New Education? Do the numerous new educational initiatives and reforms provide a «laboratory» for Educational Sciences or alternatives to the new scientific paradigms? Is this at the risk of their merging? And what is the price of these tensions? Specialists in the history of Educational Sciences and New Education from various geographical, cultural and disciplinary horizons explore the complex links between this powerful reforming movement and the nascent disciplinary field that emerged during the first half of the 20th century. Cet ouvrage analyse les relations tumultueuses - passionnelles même - de l'Education nouvelle et des Sciences de l'éducation: un couple indissociable - intrinsèquement lié et d'une étonnante fécondité - autant qu'inconciliable, nombre de leurs présupposés et caractéristiques se contredisant mutuellement. Les Sciences de l'éducation offrent-elles la base scientifique ou l'appui idéologique de l'Education nouvelle ? Les nombreuses expériences et réformes éducatives constituent-elles des laboratoires des Sciences de l'éducation ou des alternatives aux nouveaux paradigmes scientifiques ? Au risque de leur fusion ? Au prix de quelles tensions ? Des spécialistes de l'histoire des Sciences de l'éducation et de l'Education nouvelle d'horizons géographiques, culturels et disciplinaires divers explorent les rapports complexes entre ce puissant mouvement réformiste et le champ disciplinaire naissant durant la première moitié du 20e siècle.
Developing Research In Mathematics Education
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Author : Tommy Dreyfus
language : en
Publisher: Taylor & Francis
Release Date : 2018-04-27
Developing Research In Mathematics Education written by Tommy Dreyfus and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-27 with Education categories.
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.
Symbolic Computation And Education
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Author : Shangzhi Li
language : en
Publisher: World Scientific
Release Date : 2007
Symbolic Computation And Education written by Shangzhi Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Computers categories.
Geosciences particularly numerical weather predication, are demanding the highest levels of computer power available. The European Centre for Medium-Range Weather Forecasts, with its experience in using supercomputers in this field, organizes a workshop every other year bringing together manufacturers, computer scientists, researchers and operational users to share their experiences and to learn about the latest developments. This volume provides an excellent overview of the latest achievements and plans for the use of new parallel techniques in the fields of meteorology, climatology and oceanography.
Automated Deduction In Geometry
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Author : Francisco Botana
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-12
Automated Deduction In Geometry written by Francisco Botana and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-12 with Computers categories.
Annotation This book constitutes the thoroughly refereed post-proceedings of the 6th International Workshop on Automated Deduction in Geometry, ADG 2006, held at Pontevedra, Spain, in August/September 2006 as a satellite event of the International Congress of Mathematicians, ICM 2006. The 13 revised full papers presented were carefully selected from the submissions made due to a call for papers - within the scope of ADG - shortly after the meeting. The papers show the lively variety of topics and methods and the current applicability of automated deduction in geometry to different branches of mathematics and to other sciences and technologies.
Proof Technology In Mathematics Research And Teaching
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Author : Gila Hanna
language : en
Publisher: Springer Nature
Release Date : 2019-10-02
Proof Technology In Mathematics Research And Teaching written by Gila Hanna and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-02 with Education categories.
This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics teaching in schools and universities, and the use of the internet as a site of proof learning. Proving is sometimes thought to be the aspect of mathematical activity most resistant to the influence of technological change. While computational methods are well known to have a huge importance in applied mathematics, there is a perception that mathematicians seeking to derive new mathematical results are unaffected by the digital era. The reality is quite different. Digital technologies have transformed how mathematicians work together, how proof is taught in schools and universities, and even the nature of proof itself. Checking billions of cases in extremely large but finite sets, impossible a few decades ago, has now become a standard method of proof. Distributed proving, by teams of mathematicians working independently on sections of a problem, has become very much easier as digital communication facilitates the sharing and comparison of results. Proof assistants and dynamic proof environments have influenced the verification or refutation of conjectures, and ultimately how and why proof is taught in schools. And techniques from computer science for checking the validity of programs are being used to verify mathematical proofs. Chapters in this book include not only research reports and case studies, but also theoretical essays, reviews of the state of the art in selected areas, and historical studies. The authors are experts in the field.
Automated Deduction In Geometry
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Author : Hoon Hong
language : en
Publisher: Springer
Release Date : 2006-02-08
Automated Deduction In Geometry written by Hoon Hong and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-08 with Computers categories.
This book presents the thoroughly refereed post-proceedings of the 5th International Workshop on Automated Deduction in Geometry, ADG 2004, held at Gainesville, FL, USA in September 2004. The 12 revised full papers presented aurvey current issues theoretical and methodological topics as well as applications thereof - in particular automated geometry theorem proving, automated geometry problem solving, problems of dynamic geometry, and an object-oriented language for geometric objects.