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Record W2940214511 · doi:10.55016/ojs/jet.v31i1.52459

Schemas in Problem Solving

2018· article· en· W2940214511 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.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueJournal of educational thought. · 2018
Typearticle
Languageen
FieldPsychology
TopicEmotional Intelligence and Performance
Canadian institutionsUniversity of Winnipeg
Fundersnot available
KeywordsPsychologyMathematics educationCognitive psychologyEpistemologySocial psychologyComputer sciencePhilosophy

Abstract

fetched live from OpenAlex

This book covers a lot of ground.The main purpose of the book is to describe and validate a specific schema for solving arithmetic word problems.A number of sophisticated and clever research methodologies are used to provide supporting evidence.In addition to presenting these methodologies and the results of a number of experiments, Marshall describes the implementation of a series of computer-based models designed to replicate the results of these experiments.In the process of providing theoretical support for these ideas, Marshall addresses a number of important related issues in considerable depth.These include discussions of the history and philosophy of schemas and implications of this work for curriculum planning, assessment, and computer-based instructional design.Although some parts of this book will be of interest to philosophers and educators, this is mainly a book for cognitive psychologists.The book starts with a broad historical perspective on what philosophers, psychologists, and others have considered schemas to be.This is followed by an update on current views on schemas in general and, finally, a very specific discussion of the schema Marshall proposes as appropriate for arithmetic story problem solving.The level of detail presented is at the appropriate level to remind readers already familiar with this discipline of the significant participants in this field and their points of view.Readers with less background will, I'm sure, be sufficiently tantalised to follow up on many of the ideas touched on here.

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)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesInsufficient payload (model declined to judge)
Consensus categoriesInsufficient payload (model declined to judge)
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.626
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
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 integrity0.0000.000
Insufficient payload (model declined to judge)0.0070.001

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 head0.055
GPT teacher head0.404
Teacher spread0.349 · 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