Title Computer Algebra Systems (CAS) in University Mathematics Instruction: A Preliminary
Bibliographic record
Abstract
The use of Computer Algebra Systems (CAS) is becoming increasingly important and widespread in mathematics research and teaching at the university level. Notwithstanding, there exists very little in the way of formalized support presently in place to assist: (i) university mathematics instructors who wish to move forward in the area of technology for teaching; and, (ii) university mathematics departments that wish to sustain the use of CAS-based software in their program courses over time. Furthermore, in contrast to the large body of research focusing on technology usage which exists at the secondary school level, there is a definite lack of parallel research at the post-secondary level. In this paper, we will highlight some of the findings of one of the author’s recent doctoral study on CAS use in university instruction; briefly describe the development of a technology-rich, Canadian university mathematics program; and, finally,
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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 | 0.016 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.002 | 0.006 |
| Science and technology studies | 0.003 | 0.002 |
| Scholarly communication | 0.006 | 0.003 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.024 | 0.002 |
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".