theory of didactical situations in mathematics didactique des math

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Theory Of Didactical Situations In Mathematics

Author : Guy Brousseau
ISBN : 9780306472114
Genre : Education
File Size : 78. 7 MB
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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.

Beyond The Apparent Banality Of The Mathematics Classroom

Author : Colette Laborde
ISBN : 9780387304519
Genre : Education
File Size : 45. 79 MB
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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.

Networking Of Theories As A Research Practice In Mathematics Education

Author : Angelika Bikner-Ahsbahs
ISBN : 9783319053899
Genre : Education
File Size : 41. 32 MB
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How can we deal with the diversity of theories in mathematics education? This was the main question that led the authors of this book to found the Networking Theories Group. Starting from the shared assumption that the existence of different theories is a resource for mathematics education research, the authors have explored the possibilities of interactions between theories, such as contrasting, coordinating, and locally integrating them. The book explains and illustrates what it means to network theories; it presents networking as a challenging but fruitful research practice and shows how the Group dealt with this challenge considering five theoretical approaches, namely the approach of Action, Production, and Communication (APC), the Theory of Didactical Situations (TDS), the Anthropological Theory of the Didactic (ATD), the approach of Abstraction in Context (AiC), and the Theory of Interest-Dense Situations (IDS). A synthetic presentation of each theory and their connections shows how the activity of networking generates questions at the theoretical, methodological and practical levels and how the work on these questions leads to both theoretical and practical progress. The core of the book consists of four new networking case studies which illustrate what exactly can be gained by this approach and what kind of difficulties might arise.

Understanding Emotions In Mathematical Thinking And Learning

Author : Ulises Xolocotzin
ISBN : 9780128024898
Genre : Psychology
File Size : 71. 98 MB
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Emotions play a critical role in mathematical cognition and learning. Understanding Emotions in Mathematical Thinking and Learning offers a multidisciplinary approach to the role of emotions in numerical cognition, mathematics education, learning sciences, and affective sciences. It addresses ways in which emotions relate to cognitive processes involved in learning and doing mathematics, including processing of numerical and physical magnitudes (e.g. time and space), performance in arithmetic and algebra, problem solving and reasoning attitudes, learning technologies, and mathematics achievement. Additionally, it covers social and affective issues such as identity and attitudes toward mathematics. Covers methodologies in studying emotion in mathematical knowledge Reflects the diverse and innovative nature of the methodological approaches and theoretical frameworks proposed by current investigations of emotions and mathematical cognition Includes perspectives from cognitive experimental psychology, neuroscience, and from sociocultural, semiotic, and discursive approaches Explores the role of anxiety in mathematical learning Synthesizes unifies the work of multiple sub-disciplines in one place

For The Learning Of Mathematics

Author :
ISBN : CORNELL:31924099685160
Genre : Mathematics
File Size : 29. 88 MB
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Sociocultural Research On Mathematics Education

Author : Bill Atweh
ISBN : 9781135653118
Genre : Education
File Size : 26. 4 MB
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This volume--the first to bring together research on sociocultural aspects of mathematics education--presents contemporary and international perspectives on social justice and equity issues that impact mathematics education. In particular, it highlights the importance of three interacting and powerful factors--gender, social, and cultural dimensions. Sociocultural Research on Mathematics Education: An International Perspective is distinguished in several ways: * It is research based. Chapters report on significant research projects; present a comprehensive and critical summary of the research findings; and offer a critical discussion of research methods and theoretical perspectives undertaken in the area. * It is future oriented, presenting recommendations for practice and policy and identifying areas for further research. * It deals with all aspects of formal and informal mathematics education and applications and all levels of formal schooling. As the context of mathematics education rapidly changes-- with an increased demand for mathematically literate citizenship; an increased awareness of issues of equity, inclusivity, and accountability; and increased efforts for globalization of curriculum development and research-- questions are being raised more than ever before about the problems of teaching and learning mathematics from a non-cognitive science perspective. This book contributes significantly to addressing such issues and answering such questions. It is especially relevant for researchers, graduate students, and policymakers in the field of mathematics education.

One Hundred Years Of L Enseignement Mathematique

Author : International Commission on Mathematical Instruction
ISBN : 2940264066
Genre : Enseignement des mathématiques
File Size : 75. 25 MB
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Portraits des fondateurs de la revue "L'Enseignement mathématique" fondé à Genève par Charles Ange Laisant et Henri Fehr.

Computer Aided Assessment Of Mathematics

Author : Chris Sangwin
ISBN : 9780191635861
Genre : Mathematics
File Size : 48. 38 MB
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Assessment is a key driver in mathematics education. This book examines computer aided assessment (CAA) of mathematics in which computer algebra systems (CAS) are used to establish the mathematical properties of expressions provided by students in response to questions. In order to automate such assessment, the relevant criteria must be encoded and, in articulating precisely the desired criteria, the teacher needs to think very carefully about the goals of the task. Hence CAA acts as a vehicle to examine assessment and mathematics education in detail and from a fresh perspective. One example is how it is natural for busy teachers to set only those questions that can be marked by hand in a straightforward way, even though the constraints of paper-based formats restrict what they do and why. There are other kinds of questions, such as those with non-unique correct answers, or where assessing the properties requires the marker themselves to undertake a significant computation. It is simply not sensible for a person to set these to large groups of students when marking by hand. However, such questions have their place and value in provoking thought and learning. This book, aimed at teachers in both schools and universities, explores how, in certain cases, different question types can be automatically assessed. Case studies of existing systems have been included to illustrate this in a concrete and practical way.

Journal For Research In Mathematics Education

Author :
ISBN : STANFORD:36105134276315
Genre : Mathematics
File Size : 21. 80 MB
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A Design Based Case Study Of Undergraduates Conceptions Of Limits

Author : Timothy C. Boester
ISBN : WISC:89099670531
Genre : Education
File Size : 77. 6 MB
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While the research in students' conceptions of limit has been limited, all studies have come to the same basic conclusion: the formal definition of limit is difficult for students to learn. In drawing conclusions from the analysis of two prominent theories of advanced mathematics cognition and the predicted conceptions of limit derived from them, the details of a classroom-based experiment (as an attempt to instantiate these conclusions) will be presented. Finally, an analysis of data, both written and oral, collected from student participants in this experimental classroom will be presented, along with a new model of the trajectory of students' overall conceptual limit structure derived from the results.

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