The Role Of Maple Learn In Teaching And Learning Calculus Through Mathematical Thinking
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
In mathematical thinking, specialization, conjecturing, and generalization are essential processes through which the information of a solution is examined to generate a new idea. Technology supports these processes by enabling interactive explorations that allow learners to observe how results change as initial data vary. In this study, we focus on mathematical thinking, specifically specialization, conjecturing, and generalization using Maple Learn. By leveraging Maple Learn’s functionalities, we design an activity that promotes mathematical thinking while also facilitating mathematical procedures, visualization, communication, and the development of deep conceptual understanding. In this paper, our goal is to provide instructors with a framework to encourage high levels of mathematical thinking in learners of calculus.
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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 | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.002 |
| Insufficient payload (model declined to judge) | 0.000 | 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 it