Bibliographic record
Abstract
This paper investigates the question: What does it mean to experience correctness in school mathematics? Drawing on interviews and observations of classroom interaction, the author describes possible experiences of students when they get an answer, when they cannot get the correct answer, and when they get the right answer but do not understand how they got it. Questions surrounding student perseverance in getting the correct answer and the relationship between power and the possession of a correct answer are considered. Emerging issues of schools as correctional institutions, teachers and textbooks as sole authorities, and mathematical truth and rightness as absolutes are discussed. Through a phenomenological consideration of the embodied experiences of students, the author challenges the prevalent preoccupation with correctness and offers an alternative pedagogy that is informed by a sense of ethics rather than correctness. As students begin to view correctness as embedded in incorrectness, maybe their experiences of ambiguity and uncertainty can be welcomed. Perhaps school mathematics can embrace human experiences.
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 imitationNot 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.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.006 | 0.055 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.002 | 0.008 |
| Scholarly communication | 0.004 | 0.011 |
| Open science | 0.001 | 0.005 |
| Research integrity | 0.003 | 0.003 |
| Insufficient payload (model declined to judge) | 0.017 | 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; a candidate call from one source (direct Gemma or distilled Codex), 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".