Exploring the creative potential of mathematical tasks in teacher education
Bibliographic record
Abstract
Creativity is a cross-cutting ability that is highly valued in today’s society. Therefore, it should play an important role in education in general and in mathematics in particular. This requires teachers to create appropriate learning opportunities that allow creativity to flourish in students, helping them to develop their mathematical potential. In particular, the use of rich and challenging tasks can encourage fluency, flexibility and originality as three of the essential dimensions of creative thinking. Based on these assumptions, we developed a qualitative study with 19 elementary pre-service teachers to identify the dimensions of creativity revealed by these participants when solving challenging tasks, as well as their ability to recognize these dimensions in written tasks’ resolutions. Ultimately, we aimed to identify potential tasks that contribute to the development of creativity in future teachers. Data was collected mainly through written productions. Preliminary results suggest that the tasks used have creative potential, with participants demonstrating some of the dimensions of creativity. Flexibility was identified as the most challenging dimension for them to identify.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
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 teacher head, 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".