Bibliographic record
Abstract
Situado dentro del campo de investigación del álgebra temprana (Blanton et al., 2017; Cai & Knuth, 2011; Kieran, 2018; Kilhamn & Säljö, 2019), este artículo se centra en la comprensión de los jóvenes estudiantes de las ideas básicas en torno a la simplificación algebraica de ecuaciones. El artículo busca contribuir al campo de investigación arrojando luz sobre los procesos de producción de significados que sustentan la simplificación de ecuaciones y las operaciones algebraicas involucradas. En la primera parte, se presenta una concepción teórica del pensamiento algebraico. También se describen dos sistemas semióticos no alfanuméricos que fueron diseñados para introducir a los estudiantes a la simplificación algebraica de ecuaciones. En la segunda parte, se analizan dos episodios de estudiantes de tercer grado (8-9 años de edad) que resuelven ecuaciones de tipo ax+b=cx+d.
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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 | 0.003 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.002 | 0.001 |
| Scholarly communication | 0.001 | 0.000 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.022 | 0.005 |
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; both teacher heads agree on what is shown here.
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".