Culturally-Responsive Mathematics Pedagogy Through Complexivist Thinking
Bibliographic record
Abstract
This paper uses a complexity lens to consider the pedagogical project of culturally responsive mathematics. Need for new and different theoretical perspectives for Aboriginal education arise from chronic underachievement among Canada’s Aboriginal students. Culturally responsive mathematics pedagogy as a complex learning system allows a different view into the interrelationships and necessary conditions between culture, education and society, a view that aims to open new possibility for curriculum development, Aboriginal schooling and cultural renewal, while ensuring success for students. As part of the $11 million school project, the Band School Society negotiated with the Federal Aboriginal Affairs Ministry and the building contractors to include apprenticeships for Band members to join the work crew hired to build the new school. For an Aboriginal village of 2000 people and up to 80% unemployment, this was a great opportunity. Interested workers were invited to apply for the positions. All 15 of the respondents were hired immediately, and all needed mathematics upgrading courses to enter the apprenticeship training program. Skilled trades workers were in short supply in the community, and so future employment opportunities were virtually assured after completion of the school project. A local, non-Native adult education teacher was enlisted to run an evening prep course for these newly hired apprentices. The course offered focused training in mathematics skills needed by tradespeople, and indeed, these were prerequisite skills for entering the apprenticeship program. On the first night of class, eleven men and women arrived. By week two, the group had dwindled to six. When the course was completed at the end of eight weeks, two students earned completion certificates and formally entered the apprenticeship program.
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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 | 0.000 | 0.001 |
| 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 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| 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 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".