Proportionality and linear function Didactic characteristics, causes and effects of curriculum changes and reforms in compulsory french school system

In France, the concepts of ratio and proportion have disappeared from secondary education syllabuses since 1970, when the linear function was supposed to reformulate the proportionality between magnitudes. But in the new organization of teaching contents, the linear function is only an example of a numerical relation, so that nowadays people teaching at any level of education can neither use the linear function nor ratios and proportions to deal properly with elementary arithmetic problems. Looking for a logical and functional articulation of the notions of numbers, variables and functions for a long term learning process emphasizes the fact that dealing with the environment of magnitudes through the practice of ratios, measures and proportionality is absolutely necessary in the genesis of these concepts. Today, French compulsory education, mainly concerned with pupils' future schooling tends to ignore the notions that used to have a strong status in the organisation of a mathematical knowledge which is still in use in popular culture and the working world. Giving up the concepts of ratio and proportion has not been compensated by the expected supplementary steps necessary as much for school institutions as for social and professional institutions. The sense of failure felt by society following this conceptual break from the knowledge of proportionality can't be solved by any pedagogical or psychological remedy. The various institutions involved have to treat this problem by a scientific, technical and political approach with "micro" and "macro" didactical knowledge, the ignorance of which has probably been one of the causes of the difficulties generated by the successive reforms.

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Source https://theses.hal.science/tel-00827905
Author Comin, Eugène
Maintainer CCSD
Last Updated May 10, 2026, 23:03 (UTC)
Created May 10, 2026, 23:03 (UTC)
Identifier tel-00827905
Language fr
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire Cultures, Éducation, Sociétés - Didactique et Anthropologie des Enseignements Scientifiques et Langagiers (LACES DAESL) ; Université Bordeaux Segalen - Bordeaux 2
creator Comin, Eugène
date 2000-10-26T00:00:00
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harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-08-27T00:00:00
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