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Teaching Mathematics Teachers Online

2011· book-chapter· en· W2406831931 on OpenAlexaffabout
Daniel H. Jarvis

Bibliographic record

VenueIGI Global eBooks · 2011
Typebook-chapter
Languageen
FieldSocial Sciences
TopicOnline and Blended Learning
Canadian institutionsNipissing University
Fundersnot available
KeywordsMathematics educationAndragogyBridging (networking)Christian ministryPedagogyComputer sciencePsychologyAdult educationPolitical science

Abstract

fetched live from OpenAlex

Online course offerings in continuing teacher education are rapidly becoming standard features for faculties of education involved with the professional development of in-service teachers. However, instructors of mathematics education courses which are offered online must navigate certain formidable obstacles in the planning and delivery of their online learning experiences. In an era of reform-oriented mathematics education (National Council of Teachers of Mathematics, 2000; Ontario Ministry of Education, 2005), which emphasizes the increased use of manipulatives, technology, groupwork, problem-based learning, and varied assessment, the “virtual” instructor must develop creative methods for modeling these important aspects of teaching and learning. Drawing upon the relevant research literature, and based on nearly a decade of online instructor/course evaluation feedback and on the author’s own observations, the following paper presents five key strategies for bridging this technological gap, and for navigating the intersection of andragogy (i.e., adult education), technology, and reform-based mathematics education within emergent online teaching models.

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)0.000
metaresearch head score (Gemma)0.001
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: none
GenreCandidate signal: Other · Consensus signal: Other
Teacher disagreement score0.087
Threshold uncertainty score0.291

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0000.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0010.001
Science and technology studies0.0010.001
Scholarly communication0.0030.003
Open science0.0010.003
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0870.027

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 head0.040
GPT teacher head0.316
Teacher spread0.277 · 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
GenreOther

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

Citations2
Published2011
Admission routes2
Has abstractyes

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