Türkiye, Finlandiya ve Kanada’da Matematik Ders Kitaplarındaki Bazı Ortak Konuların Göstergebilimsel Analiz
Why this work is in the frame
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Bibliographic record
Abstract
In recent years, the trend towards visuality and visual arguments in mathematics education and training has remarkably increased. Visual materials find a significant buyer in the teaching and learning of abstract concepts in mathematics. Mathematical concepts are ideal, they have a general structure, and it is imperative to use representamen as a tool to represent concepts and interact with them. The indicators developed in this sense are not mathematical objects themselves, but they substitute for them in any way. For this reason, it is thought that transferring the concept of indicators gained by students through semiotics with conscious and scientific method awareness while creating mathematical concept structures will bring a very important success. In this study, it is aimed to make the indicator analysis of Natural Numbers, Integers, Decimal Numbers, Rational Numbers, Power Numbers, Root Numbers and Function Issues of selected secondary school (high school) mathematics textbooks from Turkey, Finland and Canada, in terms of semiotics. Also, in the study it is aimed to reveal the effect of the indicators (photographs, pictures, figures, etc.) used in mathematics textbooks in the countries mentioned in teaching/ learning of subjects and creating a conceptual structure. In this study, mixed method research was conducted. In the mixed method, document analysis model and questionnaire are used. How visuality is given in the expression of the subjects, which signs, symbols and visuals are presented by the concepts were analyzed with the semiotics triangle model developed by Charles Sanders Peirce. In the questionnaire application, it was tried to determine whether the indicators presented in mathematics textbooks in teaching, learning and creating a conceptual structure would be beneficial by taking the opinion of the teacher. According to the results of the research, it is seen that the indicators (visual, symptomatic and symbolic) belonging to Peirce's classification are more effective than the others in the process of interpretation. The most effective indicator type has been determined as the visual indicator in the process of creating a conceptual structure.
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Full frame distilled prediction
Teacher imitationNot 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.002 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.003 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.004 | 0.001 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it