Inferentialism

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tandfonline.com – An Inferentialist Perspective on How Note-taking can Constrain the Orchestration of Math-Talk

Posted on by Troels Gannerup Christensen - Læst 9 gange

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT The aim of this study is to investigate relationships between note-taking and the orchestrating of math-talk in whole-class teaching. A lesson on (average) velocity in a Swedish Grade 6 has been observed. Taking an inferentialist stance on human understanding, the study conceptualizes teaching and learning from the perspective of how students come to be engaged in the language practice of giving and asking for reasons. The study shows how note-taking supports a teacher-student relationship where the teacher produces content and the students’ participation is reduced to consume content. It shows how note-taking can support descriptive math-talk of concepts and symbols and step-by-step procedural math-talk, connected to the goal of providing students examples of tasks, similar to the tasks… Continue Reading →

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tandfonline.com – Epistemological aspects of multilingualism in mathematics education: an inferentialist approach

Posted on by Troels Gannerup Christensen - Læst 8 gange

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Recently the prevailing language-as-resource metaphor has been problematised and theorised. Using the philosophical theory of inferentialism, we trace an epistemological dimension of multilingualism in mathematics education and add it to the current language-as-resource discussions. With data from two different settings—a mathematics classroom in Sweden and a workshop in an indigenous settlement in Colombia—we show that in encounters between language practices and plural mathematics, the semantic and the epistemological are two sides of the same coin. Inferentialism captures such encounters without dichotomising either languages or mathematics. We contend that epistemological issues move beyond the scope of language-as-resource approaches, but they are not paths to improving school achievement. Neither are they matters of distinguishing between formal and informal language use.… Continue Reading →