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Revisiting the Base-Ten Block Challenge

2018· article· en· W2904557724 on OpenAlexaboutno aff
Cathy M. Chaput, Beth Smith

Bibliographic record

VenueTeaching Children Mathematics · 2018
Typearticle
Languageen
FieldSocial Sciences
TopicCollaborative Teaching and Inclusion
Canadian institutionsnot available
Fundersnot available
KeywordsClass (philosophy)Mathematics educationBlock (permutation group theory)Block schedulingBase (topology)Computer sciencePsychologyMathematicsArtificial intelligenceCombinatorics

Abstract

fetched live from OpenAlex

Introducing a problem to children is always exciting when your goal is to challenge them in more than one way. The Base-Ten Block Challenge, published in TCM's January/February 2018 issue, has two layers to the activity. Conceptually, it has the challenge of using familiar materials more flexibly. In addition, this problem incorporates the strategy of Complex Instruction (CI), which aims to make group participation more equitable for all members through using random grouping and tasks with multiple entry points as well as ensuring that all students are accountable for understanding (Featherstone et al. 2011). A grade 2 class in Guelph, Ontario, Canada, took on this challenge, facilitated by a program coordinator in collaboration with their classroom teacher, Mrs. Beth Smith.

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 machine prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.018
metaresearch head score (Gemma)0.050
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: Not applicable
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.029
Threshold uncertainty score0.097

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0180.050
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0010.001
Science and technology studies0.0070.012
Scholarly communication0.0100.012
Open science0.0050.010
Research integrity0.0100.025
Insufficient payload (model declined to judge)0.0130.005

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 head0.028
GPT teacher head0.328
Teacher spread0.301 · 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 source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designNot applicable
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
Published2018
Admission routes1
Has abstractyes

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