Computer Algebra Systems and Their Effect on Cognitive Load
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
Motivation – In this paper we discuss the beginning of a research project into the design of user interfaces for Computer Algebra Systems (CASs). Research approach – Findings/Design – We begin to examine a theoretical framework describing how people learn problem-solving skills. We also briefly discuss a field study we conducted. Research limitations/Implications – The field study, while small and preliminary, allowed us to see some areas where students ran in to difficulty using Maple. The theoretical framework we begin to outline should help us understand the cause of some of those difficulties. Originality/Value – We begin to better understand how people use CASs to learn mathematics. We also begin to combine Cognitive Load Theory and the Skills-Rules-Knowledge framework. Take away message – This is the beginning of a research project that should help us better understand how CASs can be better designed to assist with learning and the problem-solving process.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.001 |
| 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