Educational algebra : a theoretical and empirical approach by Eugenio Filloy

By Eugenio Filloy

This e-book takes a theoretical viewpoint at the research of faculty algebra, within which either semiotics and historical past happen. The Methodological layout permits the translation of particular phenomena and the inclusion of facts now not addressed in additional normal remedies. The ebook offers precedence to "meaning in use" over "formal meaning". those methods and others of comparable nature result in a spotlight on competence instead of a user’s task with mathematical language.

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Example text

For example, one can ask a student to write phrases such as “a increased by 2” using signs, which we illustrate with part of a dialogue between the interviewer (I) and a student (S): S: I don’t understand that. I: They give you a sentence and they ask you to write it using letters and signs representing operations. S: In other words, symbolizing something … I: Yes, but what do you mean by symbolizing? ” S: You’ve increased speed. I: And what does that mean? S: That the person is now, well, going faster?

A set of techniques for solving problems. The study of certain structures: arithmetic-algebraic, geometric, etc. A language with a given sign system that intertwines with natural language. A formal science with a highly formalized language. A scientific activity, that of mathematicians, that has existed for centuries and that, at present, has developed specific practices very remote from those that can be found in educational systems. An activity in which phenomena belonging to the natural and social sciences are modeled.

A scientific activity, that of mathematicians, that has existed for centuries and that, at present, has developed specific practices very remote from those that can be found in educational systems. An activity in which phenomena belonging to the natural and social sciences are modeled. A collection of procedures for performing practical calculations to measure, classify, predict, count, etc. A part of natural language in which judgments are expressed about the progress of society, the economy, the climate, voting forecasts, etc.

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