Advances in the anthropological theory of the didactic / Yves Chevallard, Berta Barquero, Marianna Bosch, Ignasi Florensa, Josep Gascón, Pedro Nicolás, Noemí Ruiz-Munzón, editors.

Format:

Book

Contributor:

Chevallard, Yves, editor.

Barquero, Berta, editor.

Bosch, Marianna, editor.

Florensa, Ignasi, editor.

Gascón, Josep, editor.

Nicolás, Pedro, editor.

Ruiz-Munzón, Noemí, editor.

Language:

English

Subjects (All):

Mathematics--Study and teaching.

Mathematics.

Genre:

Electronic books.

Physical Description:

1 online resource : illustrations (some color)

Place of Publication:

Cham : Birkhäuser, [2022]

Summary:

The book focuses on the latest developments of the Anthropological Theory of the Didactic (ATD) and its links with other approaches in mathematics education. Leading researchers in the ATD and especially its creator, Yves Chevallard, present recent research results, theoretical advances and new methodologies in this approach, concerning critical educational problems at all levels. The book is addressed to researchers in mathematics education and all related fields, to teacher educators and teachers in primary, secondary and tertiary education interested in curriculum issues and research in didactics. The book includes four sections that correspond to four axes of current research in the framework of the ATD. The first one studies the relations between the ATD and other research frameworks. The second section focuses on the crucial role of didactics in teacher education, and the experiences carried out at different instructional levels. The third section addresses the curriculum problem in the historical transition from the classical paradigm of visiting works to the emerging didactic paradigm of questioning the world. The last section is about research in didactics at the university level, with investigations about the analysis of didactic transposition processes and the design and implementation of various instructional formats.

Contents:

Part 1. Dialogue between theories in mathematics education

Introduction

On the genesis and progress of the ATD

ATD on relationships between research and teaching. The case of a didactic problem concerning real numbers

From the networking of theories to the discussion of the educational implications of research

Theory of didactical situations in mathematics: an epistemological revolution

The Onto-semiotic Approach in Mathematics Education. Analysing objects and meanings in mathematical practice

APOS theory and the role of genetic decomposition

Part 2. Mathematics teacher education and the professionalisation of teaching

Challenges and advances in teacher education within the ATD

Paradidactic infrastructure for mathematics teachers' collective work

On the problem between devices and infrastructures in teacher education within the paradigm of questioning the world

Introduction of ordinal number at the beginning of the French curriculum: a study of professional teaching problem

Study and research for teacher education: some advances on teacher education in the paradigm of questioning the world

Transpositive phenomena of didactics in teacher training

Prospective teachers' narrative analysis using the didactic-mathematical knowledge and competences model (DMKC)

Exploring the Paradidactic Ecosystem: Conditions and Constraints on the Teaching Profession

Teacher learning in collaborative settings: analysis of an open lesson

Part 3. The curriculum problem and the paradigm of questioning the world

Toward a scientific understanding of a possibly upcoming civilisational revolution

Methodological proposal about the analysis of dominant praxeological models with its confrontations with a reference praxeological model: a case study of quadratic equation

Study and research Paths, ecology and in-service teachers

Analysing the Dialectic of Questions and Answers in Study and Research Paths

Experimentation of an SRP: didactic-mathematical indicators of dialectics

Part 4. Research in didactics at university level

Institutional transitions in university mathematics education

Examining Individual and Collective Level Mathematical Progress

Mathematical analysis at university

Using tools from ATD to analyse the use of mathematics in engineering tasks. Some cases involving integrals

A workshop on the epistemology and didactics of mathematical structuralism

About two epistemology related aspects in mathematical practices of empirical sciences

Describing the mathematical activity: dynamic and static aspects.

Notes:

Online resource; title from PDF title page (SpringerLink, viewed February 4, 2022).

ISBN:

9783030767914

3030767914

OCLC:

1293768603

Access Restriction:

Restricted for use by site license.