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Record W4415131445 · doi:10.30807/ksms.2025.28.3.009

Analysis of negative expressions in the 2022 Revised Mathematics Curriculum: A comparative study with the U.S., U.K., Canada, Singapore, and Australia

2025· article· en· W4415131445 on OpenAlex

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.

aboutThe title or abstract carries a Canadian signal from the geographic lexicon.
no affNo Canadian affiliation: this work is invisible to an affiliation-only frame.
No Canadian affiliation. An affiliation-only frame, the usual design, would never have seen this work. It is one of the works that make the case for inverting the frame.

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldSocial Sciences
TopicEducation, Safety, and Science Studies
Canadian institutionsnot available
Fundersnot available
KeywordsCurriculumAutonomyExploratory researchExpression (computer science)Mathematics curriculumReform mathematicsQualitative analysis

Abstract

fetched live from OpenAlex

This study aims to analyze the instances of negative expressions found in the 2022 Revised Mathematics Curriculum documents and to explore their implications for mathematics education. To this end, a qualitative content analysis was con ducted, and comparisons were made with mathematics curriculum documents from the United States, the United Kingdom, Canada, Singapore, and Australia. The findings revealed that the 2022 Revised Mathematics Curriculum contained a high fre quency of negative expressions, whereas the curriculum documents of the comparison countries were primarily framed using positive expressions, with negative expressions appearing only in a very limited manner. In particular, the most frequently occur ring negative expression in the 2022 Revised Mathematics Curriculum, “should not covered,” was found to potentially constrain teachers’ instructional practices and restrict students’ opportunities for exploratory learning. Based on these findings, this study suggests that not only mathematics curriculum documents but also mathematics education policy more broadly should shift from negative expressions toward positive and open-ended language, thereby ensuring teachers’ autonomy and supporting students’ opportunities for inquiry.

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 imitation

Not 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.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Qualitative · Consensus signal: Qualitative
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.341
Threshold uncertainty score0.614

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.003
Science and technology studies0.0010.001
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

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.

Opus teacher head0.058
GPT teacher head0.399
Teacher spread0.341 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Quick stats

Citations1
Published2025
Admission routes1
Has abstractyes

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