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Record W2142563589

Teachers' Beliefs and Teaching Mathematics with Manipulatives.

2013· article· en· W2142563589 on OpenAlex
Nahid Golafshani

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.

venuePublished in a venue whose home country is Canada.
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

VenueCanadian Journal of Education / Revue canadienne de l éducation · 2013
Typearticle
Languageen
FieldSocial Sciences
TopicMathematics Education and Teaching Techniques
Canadian institutionsnot available
Fundersnot available
KeywordsMathematics educationNegotiationTeaching methodPsychologyPedagogySociology
DOInot available

Abstract

fetched live from OpenAlex

To promote the implementation of manipulatives into mathematics instruction, this research project examined the instructional practices of four grade 9 Applied Mathematics teachers related to their use of manipulatives in teaching mathematics and how it affects students learning. Two instruments were used to collect data: The Teacher Questionnaire and Observation field Notes. The methods were used to collect data on how effectively teachers incorporated manipulatives into their instructional practices, after participating in training and practising their pilot lesson plans over the course of more than twenty weeks, as well as the effect of the use of manipulatives on their students learning. Results showed that the teachers were able to incorporate manipulatives in their daily lesson plans relative to what they practiced while delivering the model lessons. Teachers reported the use of more virtual manipulatives than physical manipulatives after the project. The use of manipulatives in the observed mathematics classrooms had some direct effects on the students learning, in particular, on the struggling students, however, its major effect was on creating an environment that facilitated students learning through different methods of engagement. The learning of mathematics took place through knowledge negotiation among the students.

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)0.002
metaresearch head score (Gemma)0.002
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 score0.301
Threshold uncertainty score0.999

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0020.002
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0010.000
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 head0.047
GPT teacher head0.310
Teacher spread0.264 · 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