Framework for analysing continuity in students’ learning experiences during primary to secondary transition in mathematics
Bibliographic record
Abstract
The transition from primary to secondary education tends to have deleterious effects on student achievement and motivation in mathematics, and these effects have been significantly linked to lack of curricular and pedagogical continuity at transition. Curricular and pedagogical practices in each phase of schooling are influenced by a number of factors including, for example, teachers’ mathematical knowledge for teaching, and a range of other school and societal level characteristics. We propose a novel theoretical framework for studying continuity of learning experiences during primary/secondary transition in mathematics which takes cognisance of these factors. The framework is based on aspects of the so-called anthropological theory of didactics, which acknowledge that mathematics learning and teaching are human activities that cannot be divorced from the broader organisational, societal and cultural contexts within which they occur; teacher attributes; and Dewey’s principle of continuity of experience. Potential applications of the framework to other forms of educational transition are also signposted.
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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 | 0.007 | 0.007 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.002 |
| Bibliometrics | 0.008 | 0.004 |
| Science and technology studies | 0.003 | 0.010 |
| Scholarly communication | 0.005 | 0.005 |
| Open science | 0.003 | 0.006 |
| Research integrity | 0.002 | 0.002 |
| Insufficient payload (model declined to judge) | 0.007 | 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".