Young Children’s Access to Powerful Mathematics Ideas: A Review of Current Challenges and New Developments in the Early Years
Bibliographic record
Abstract
What is the nature of current research on the education of prospective elementary and secondary school teachers of mathematics? In Ponte and Chapman (2008) we addressed this question based on a review of studies published in 1998 to 2005. In this chapter we build on this work by extending the review from 2006 to 2013. We begin with a brief sketch of the landscape of teacher education that provides an organizing image for the relations among the main topics and the related issues addressed in the chapter. We then present and discuss studies that provide insights into these various topics, which include: the nature of prospective teachers’ mathematics knowledge; knowledge of mathematics teaching; professional identity; learning approaches to support development of, or growth in, this knowledge; and teacher education program elements. We end with a reflection on the nature of this domain of research, and on the opportunities and constraints it offers for moving the field of mathematics teacher education forward.
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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 | 0.005 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.001 |
| Bibliometrics | 0.006 | 0.006 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.002 | 0.003 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.003 | 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".