The Notions and Roles of Theory in Mathematics Education Research
Bibliographic record
Abstract
Notions and concepts of theory play key roles in mathematics education research , as they do in any scholarly or scientific discipline. On closer inspection , the notion, concept, and nature of what is termed " theory " in such research are very varied indeed, as are the roles, uses and implications of theories employed in mathematics education research. In other words, the term " theory " does not have one universal meaning in our field. Moreover, concrete theories put to use with regard to mathematics education originate in several different disciplines, many of which are external to mathematics education research itself. The task of this ST is to identify, survey, and analyse different notions and roles of " theory " in mathematics education research, as well the origin, nature, uses, and implications of specific theories pertaining to different types of such research.
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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 | 0.032 | 0.031 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.009 | 0.007 |
| Science and technology studies | 0.007 | 0.091 |
| Scholarly communication | 0.020 | 0.030 |
| Open science | 0.002 | 0.007 |
| Research integrity | 0.005 | 0.009 |
| Insufficient payload (model declined to judge) | 0.008 | 0.001 |
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.
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".