Doctoral Preparation in Mathematics Teacher Education
Bibliographic record
Abstract
There has been an increased focus on preparing and supporting teachers to teach mathematics and what research might move the field of mathematics teacher education forward. While this is relevant to the work of both in-service and preservice teachers, an often-forgotten mechanism in the cycle of mathematics teacher education involves the preparation of doctoral students as future mathematics teacher educators. This chapter provides a summary of the current literature on doctoral student learning in mathematics education by answering the following questions: (1) What knowledges and skills should doctoral students in mathematics education learn through their doctoral studies? (2) What structures and initiatives have supported this learning? We identified six categories of knowledge and skills necessary for doctorates in mathematics teacher education. Structures that support learning across doctoral programs are similar, however the specific aspects within them vary. Based on our findings, we offer direction for further investigation regarding doctoral student learning in mathematics education to improve the field of mathematics teacher education more broadly.
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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 | 0.002 | 0.004 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.003 | 0.003 |
| Scholarly communication | 0.004 | 0.004 |
| Open science | 0.001 | 0.004 |
| Research integrity | 0.001 | 0.004 |
| Insufficient payload (model declined to judge) | 0.024 | 0.006 |
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".