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Record W2285864853

A symbolic manipulator to introduce pupils to algebra theory

2000· preprint· fr· W2285864853 on OpenAlexaff
Michele Cerulli, Maria Alessandra Mariotti

Bibliographic record

VenueHAL (Le Centre pour la Communication Scientifique Directe) · 2000
Typepreprint
Languagefr
FieldSocial Sciences
TopicMathematics Education and Teaching Techniques
Canadian institutionsToronto Metropolitan University
Fundersnot available
KeywordsSymbolic computationAlgebra over a fieldComputer scienceManipulator (device)MathematicsArtificial intelligenceRobotPure mathematicsMathematical analysis
DOInot available

Abstract

fetched live from OpenAlex

Within the theoretical framework of Vygotsky's theory, the paper presents a new algebra software. The main features of the software are described and their potentialities are discussed. According to the Vygotskian theory, expressions and commands may be thought as external signs of the Algebraic theory, and as such, they may become instruments of semiotic mediation: In other terms they can be used by the teacher, in the concrete realisation of classroom activity, according to the motive of introducing pupils to syntactic manipulation as a theoretical activity.

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: Methods · Consensus signal: Methods
Teacher disagreement score0.015
Threshold uncertainty score0.050

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.003
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0010.001
Science and technology studies0.0010.003
Scholarly communication0.0020.004
Open science0.0010.003
Research integrity0.0010.002
Insufficient payload (model declined to judge)0.0150.003

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 head0.021
GPT teacher head0.282
Teacher spread0.261 · 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
GenreMethods

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

Citations9
Published2000
Admission routes1
Has abstractyes

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