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Record W183371867 · doi:10.5951/mt.104.4.0258

Mathematical Lens: Raise High the Ridge Beam, Carpenters

2010· article· en· W183371867 on OpenAlexaboutno aff
Lauren Matheson

Bibliographic record

VenueMathematics Teacher Learning and Teaching PK-12 · 2010
Typearticle
Languageen
FieldEngineering
TopicConstruction Engineering and Safety
Canadian institutionsnot available
Fundersnot available
KeywordsRidgeCrewLens (geology)EngineeringVisual artsMathematics educationArt historyMathematicsHistoryCartographyAeronauticsArtGeography

Abstract

fetched live from OpenAlex

During a walk around Toronto, Lauren Matheson noticed a shed being built in a very narrow corner of a triangular lot (see photographs 1, 2 , and 3 ). The odd-shaped property made designing and building the shed difficult, but, thanks to a creative construction crew, the shed was built and by all accounts is well used. Lauren was then a preservice teacher candidate in Ron Lancaster's mathematics methods course, and he used images of the shed as the basis for his “Mathematical Lens” assignment. Lauren's photographs and questions are given here; the editors hope that readers agree that his work was worth an A+.

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.

How this classification was reachedexpand

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 categoriesResearch integrity
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.625
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.002
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 head0.008
GPT teacher head0.204
Teacher spread0.197 · 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

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

Study designSimulation or modeling
Domainnot available
GenreEmpirical

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".

Quick stats

Citations0
Published2010
Admission routes1
Has abstractyes

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