Dialogical Inquiry In Mathematics Teaching And Learning
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Dialogical Inquiry in Mathematics Teaching and Learning
Author: Nadia Stoyanova Kennedy
language: en
Publisher: LIT Verlag Münster
Release Date: 2023-04-19
The collection of papers in this anthology represents what may be a broad exploration of the role of philosophical inquiry in the classroom and in mathematics teacher education, a topos characterized by multiple, intersecting themes, all of which converge on a central question: what is the role of mathematics in the construction of the realities we live by, and could that role be different if we became aware of its invisible power? In the age of the Anthropocene - an era in which technological intervention plays an ever more central role in the way we build, develop and attempt to maintain our increasingly fragile and risk-prone human and natural world, what are the implications of the hegemonic epistemic status of mathematics in those processes? Does mathematics define the conditions of possibility of all knowledge, whether expressed in a theory or silently invested in a practice? Does or can mathematics and its presumed value-neutrality serve to limit, constrain, suppress, and even preclude other, perhaps more valuable forms of knowledge? Alternatively, can philosophical dialogue about mathematics serve to clarify, unmask, reframe and recreate our understanding of mathematics and its symbolic power in the human and material world, and act as an emancipatory form of knowledge in culture and society? What would such dialogues look like in the mathematics classroom? The papers in this volume address these questions in various contexts and registers, and provide prospective and in-service teachers with compelling and suggestive ways of responding to them. A must-read for math educators everywhere.
Dialogue and Learning in Mathematics Education
Author: Helle Alrø
language: en
Publisher: Springer Science & Business Media
Release Date: 2006-01-02
Dialogue and Learning in Mathematics Education is concerned with communication in mathematics class-rooms. In a series of empirical studies of project work, we follow students' inquiry cooperation as well as students' obstructions to inquiry cooperation. Both are considered important for a theory of learning mathematics. Special attention is paid to the notions of `dialogue' and `critique'. A central idea is that `dialogue' supports `critical learning of mathematics'. The link between dialogue and critique is developed further by including the notions of `intention' and `reflection'. Thus a theory of learning mathematics is developed which is resonant with critical mathematics education.
Mathematical Encounters and Pedagogical Detours
This book explores the idea that mathematics educators and teachers are also problem solvers and learners, and as such they constantly experience mathematical and pedagogical disturbances. Accordingly, many original tasks and learning activities are results of personal mathematical and pedagogical disturbances of their designers, who then transpose these disturbances into learning opportunities for their students. This learning-transposition process is a cornerstone of mathematics teacher education as a lived, developing enterprise. Mathematical Encounters and Pedagogical Detours unfold the process and illustrate it by various examples. The book engages readers in original tasks, shares the results of task implementation and describes how these results inform the development of new tasks, which often intertwine mathematics and pedagogy. Most importantly, the book includes a dialogue between the authors based on the stories of their own learning, which triggers continuous exploration of learning opportunities for their students.