Processus d’abstraction et difficultés d’apprentissage en mathématiques : quelques repères théoriques
Bibliographic record
Abstract
Un discours répandu affirme que les difficultés d’abstraction constituent un obstacle majeur à l’apprentissage des mathématiques. Malgré le fait que les institutions porteuses de ces discours omettent de questionner la signification même de l’expression « difficultés d’abstraction », elles vont tout de même effectuer des propositions d’interventions; l’impact de celles-ci sur la nature des savoirs enseignés semble ne pas être interrogé. Cet article, de nature théorique, tente de préciser les différentes significations accordées à l’abstraction, en particulier pour l’apprentissage des mathématiques selon différentes disciplines contributives des sciences de l’éducation afin de se doter de critères pour analyser les discours portant sur les difficultés d’abstraction en mathématiques en éducation.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.004 | 0.004 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".