La recherche en didactique des mathématiques et les élèves en difficulté


Book Description

Cet ouvrage s’adresse aux formateurs, enseignants et didacticiens œuvrant de près ou de loin auprès des élèves dits en difficulté d’apprentissage en mathématiques. Conçu à la suite d’un symposium de l’Acfas, l’ouvrage s’insère dans la poursuite des réflexions didactiques en lien avec les fondements et les pratiques d’évaluation-intervention auprès des élèves ayant un potentiel mathématique, mais connaissant des difficultés en situation d’apprentissage. L’introduction écrite par Jean-Luc Dorier expose la genèse de cet ouvrage, introduit les contributions des auteurs et apporte un point de vue international sur les préoccupations actuelles entourant l’intervention en mathématiques auprès des élèves en difficulté. Pour traiter de ces préoccupations d’un point de vue didactique, cet ouvrage est divisé en trois parties : 1. Les enjeux didactiques pouvant être identifiés et analysés lors de l’enseignement, l’évaluation et l’intervention mathématiques auprès des élèves en difficulté ; 2. Les modèles de collaboration enseignants, orthopédagogues et conseillers pédagogiques favorables à l’enseignement, à l’intervention et à l’évaluation des élèves en difficulté ; 3. Autres perspectives didactiques prometteuses pour mieux enseigner, évaluer et intervenir auprès des élèves en difficulté. Les échanges entre les différents auteurs de cet ouvrage mettent en évidence le fait que les perspectives didactiques prometteuses pour enseigner, évaluer et intervenir auprès des élèves en difficulté peuvent prendre diverses avenues, mais elles sont toutes proposées en réaction à un mode d’évaluation-intervention dit « de remédiation » n’ayant pas eu les résultats escomptés auprès des élèves dits en difficulté. Les auteurs soulèvent qu’il est central de s’entendre sur les fondements de l’enseignement, de l’évaluation-intervention, les finalités des apprentissages, de valoriser une collaboration entre différents acteurs concernés (« co-enseignement »), de rendre symétrique la relation famille-école, de coordonner les actions didactiques, pédagogiques et orthopédagogiques et de provoquer des opportunités d’apprentissage riches pour les élèves en difficulté. La valorisation de l’actualisation du potentiel mathématique des élèves en difficulté laisse place à la créativité en promouvant la compréhension et la conceptualisation mathématiques, en donnant une place de choix au jeu sur les variables didactiques, en mettant l’élève en action.




Creativity and Technology in Mathematics Education


Book Description

This volume provides new insights on creativity while focusing on innovative methodological approaches in research and practice of integrating technological tools and environments in mathematics teaching and learning. This work is being built on the discussions at the mini-symposium on Creativity and Technology at the International Conference on Mathematical Creativity and Giftedness (ICMCG) in Denver, USA (2014), and other contributions to the topic. The book emphasizes a diversity of views, a variety of contexts, angles and cultures of thought, as well as mathematical and educational practices. The authors of each chapter explore the potential of technology to foster creative and divergent mathematical thinking, problem solving and problem posing, creative use of dynamic, multimodal and interactive software by teachers and learners, as well as other digital media and tools while widening and enriching transdisciplinary and interdisciplinary connections in mathematics classroom. Along with ground-breaking innovative approaches, the book aims to provide researchers and practitioners with new paths for diversification of opportunities for all students to become more creative and innovative mathematics learners. A framework for dynamic learning conditions of leveraging mathematical creativity with technology is an outcome of the book as well.




Articulations Between Tangible Space, Graphical Space and Geometrical Space


Book Description

This book aims to present some of the latest research in the didactics of space and geometry, deepen some theoretical questions and open up new reflections for discourse. Its focus is as much on the approach of geometry itself and its link with the structuring of space as it is on the practices within the classroom, the dissemination of resources, the use of different artefacts and the training of teachers in this field. We study how spatial knowledge, graphical knowledge and geometric knowledge are taken into account and articulated in the teaching of space and geometry in compulsory schools, teaching resources (programs and textbooks) and current teacher training. We question how the semiotic dimension (language, gestures and signs) of geometric activity can be taken into account, and we identify the role of artefacts (digital or tangible) in the teaching and learning of geometry. This book brings together some fifteen contributions from Frenchspeaking researchers from different countries (France, Switzerland and Canada).




Semiotic Approaches in Science Didactics


Book Description

The sciences are, in essence, highly semiotized. Our ways of thinking and communicating about science are based on permanent transformations from one system of signs to another, such as scriptural, graphic, symbolic, oral and gestural signs. The semiotic focus studied in this book makes it possible to grasp part of the complexity of teaching and learning phenomena by focusing on the variety of possible interpretations of the signs that circulate within the science classroom. Semiotic Approaches in Science Didactics brings together contributions from didactic research involving various disciplines such as mathematics, chemistry, physics and geography, which mobilize different types of semiotic support. It offers the key to understanding and even reducing some of the misunderstandings that can arise between a speaker and a receiver in scientific teaching situations.




Thabit ibn Qurra


Book Description

Thabit ibn Qurra (826–901) was one of history’s most original thinkers and displayed expertise in the most difficult disciplines of this time: geometry, number theory, and astronomy as well as ontology, physics, and metaphysics. Approximately a dozen of this shorter mathematical and philosophical writings are collected in this volume. Critically edited with accompanying commentary, these writings show how Thabit Ibn Qurra developed and reconceived the intellectual inheritance of ancient Greece in all areas of knowledge.




A Critique of Creativity and Complexity


Book Description

In an increasingly complex world the natural human inclination is to oversimplify issues and problems to make them seem more comprehensible and less threatening. This tendency usually generates forms of dogmatism that diminish our ability to think creatively and to develop worthy talents. Fortunately, complexity theory is giving us ways to make sense of intricate, evolving phenomena. This book represents a broad, interdisciplinary application of complexity theory to a wide variety of phenomena in general education, STEM education, learner diversity and special education, social-emotional development, organizational leadership, urban planning, and the history of philosophy. The contributors provide nuanced analyses of the structures and dynamics of complex adaptive systems in these academic and professional fields.




Proceedings of the Fourth International Congress on Mathematical Education


Book Description

Henry O. Pollak Chairman of the International Program Committee Bell Laboratories Murray Hill, New Jersey, USA The Fourth International Congress on Mathematics Education was held in Berkeley, California, USA, August 10-16, 1980. Previous Congresses were held in Lyons in 1969, Exeter in 1972, and Karlsruhe in 1976. Attendance at Berkeley was about 1800 full and 500 associate members from about 90 countries; at least half of these come from outside of North America. About 450 persons participated in the program either as speakers or as presiders; approximately 40 percent of these came from the U.S. or Canada. There were four plenary addresses; they were delivered by Hans Freudenthal on major problems of mathematics education, Hermina Sinclair on the relationship between the learning of language and of mathematics, Seymour Papert on the computer as carrier of mathematical culture, and Hua Loo-Keng on popularising and applying mathematical methods. Gearge Polya was the honorary president of the Congress; illness prevented his planned attendence but he sent a brief presentation entitled, "Mathematics Improves the Mind". There was a full program of speakers, panelists, debates, miniconferences, and meetings of working and study groups. In addition, 18 major projects from around the world were invited to make presentations, and various groups representing special areas of concern had the opportunity to meet and to plan their future activities.




Teaching and Learning Secondary School Mathematics


Book Description

This volume brings together recent research and commentary in secondary school mathematics from a breadth of contemporary Canadian and International researchers and educators. It is both representative of mathematics education generally, as well as unique to the particular geography and culture of Canada. The chapters address topics of broad applicability such as technology in learning mathematics, recent interest in social justice contexts in the learning of mathematics, as well as Indigenous education. The voices of classroom practitioners, the group ultimately responsible for implementing this new vision of mathematics teaching and learning, are not forgotten. Each section includes a chapter written by a classroom teacher, making this volume unique in its approach. We have much to learn from one another, and this volume takes the stance that the development of a united vision, supported by both research and professional dialog, provides the first step.







Fostering Human Development Through Engineering and Technology Education


Book Description

Fostering Human Development Through Engineering and Technology Education (ETE) is a collaborative work offered to students, scholars, researchers, decision-makers, curriculum developers, and educators interested in the rich learning opportunities afforded by engineering and technology education. This book provides perspective about the roles ETE might uniquely play in applying contemporary pedagogical practices to enhance students' intellectual, cognitive, and social skills in the service of promoting equitable and sustainable human development. Education about engineering and technology has become an imperative for all people due to the exponential rate of technological change, the impact of globalization on culture and economy, and the essential contributions engineering and technology make in addressing global and environmental challenges. Many of today’s students wish to use their education to influence the future, and school-based engineering and technology education programs meet the needs of these “millennial students” who are civic-minded, team-oriented, and want to make a difference. Therefore, support has been rapidly increasing for the establishment of school-based engineering and technology education (ETE) programs in many countries across the globe. Chapters in this book provide discussion about dimensions of learning; capabilities, concepts and skills for third millennial learners; culturally relevant learning through ETE; and the promise of new pedagogies such as gaming and other project-based learning approaches in our digitally connected world. The author team includes renowned educational theorists, cognitive scientists, scientists and engineers, instructional designers, expert practitioners, and researchers who have coalesced best practice and contemporary thought from seven countries.