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Record W4410891549 · doi:10.71403/1feg0520

La généralisation dans la pensée algébrique

2021· article· fr· W4410891549 on OpenAlexaffabout
Alain Bronner, Hassane Squalli

Bibliographic record

VenueRevue québécoise de didactique des mathématiques · 2021
Typearticle
Languagefr
FieldSocial Sciences
TopicHistorical and Linguistic Studies
Canadian institutionsUniversité de Sherbrooke
Fundersnot available
KeywordsMathematicsHumanitiesPhilosophy

Abstract

fetched live from OpenAlex

Notre travail traite du développement de la pensée algébrique avant l’introduction du symbolisme formel de l’algèbre à travers des problèmes de généralisation. Il s’inscrit dans l’étude des potentialités de certaines classes de problèmes et de la mise en évidence des conditions favorisant l’émergence de la généralisation dans les classes du primaire et du début du secondaire. Nous questionnons tout d’abord le concept de généralisation et sa place dans le développement de la pensée algébrique. Pour appuyer notre étude nous analysons une situation de généralisation réalisée dans une classe de 6e du primaire du Québec dans le cadre d’une analyse praxéologique (Chevallard, 1992, 1999) soutenue par un modèle de la généralisation algébrique (Squalli, 2015) adapté de Dörfler (1991). Enfin nous souhaitons montrer l’apport d’une telle analyse conjointe pour l’étude des problèmes de généralisation au niveau des caractéristiques des situations, des raisonnements des élèves et de la pratique enseignante.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.003
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.162
Threshold uncertainty score0.322

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.003
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.001
Bibliometrics0.0020.003
Science and technology studies0.0030.009
Scholarly communication0.0050.004
Open science0.0010.002
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0100.001

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.

Opus teacher head0.024
GPT teacher head0.291
Teacher spread0.267 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designNot applicable
Domainnot available
GenreEmpirical

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".

Quick stats

Citations0
Published2021
Admission routes2
Has abstractyes

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Same venueRevue québécoise de didactique des mathématiquesSame topicHistorical and Linguistic StudiesFrench-language works237,207