Investigation of the Thematic and Methodological Trends of Completed Graduate Theses Related to Mathematical Modeling in The Field of Mathematics Education
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Bibliographic record
Abstract
The aim of the research is to determine the thematic and methodological trends of completed national and international master's and doctoral theses related to mathematical modeling in the field of mathematics education. Qualitative research method was used in the study, and a case study was adopted as a model. Within the scope of the research, from the master's and doctoral theses published in Turkish and English in the field of mathematics education and training covering the years 2013-2023 (October), in the YÖK National Thesis Center and in the ProQuest database; A total of 197 theses on mathematical modeling were examined with the Thesis Evaluation Form. Mendeley Reference Manager, SPSS Statistics 26 package program and VOSviewer program were used in the analysis of the data. Thematic analysis and content analysis, quotation analysis from bibliometric analysis and keyword analysis were performed. According to the results of the research; It is seen that there was a significant increase in theses related to mathematical modeling in mathematics education, especially in 2019, while the number of theses decreased in 2020 and 2021, and there was a significant increase again in 2022. It has been determined that the majority of studies on mathematical modeling in mathematics education in Turkey are at the master's level, while doctoral studies are more common in the USA and Canada. The university that produces the highest number of theses in the field in related researches is Atatürk University in Turkey and Columbia University abroad. Considering the distribution of the subjects of the researches; The most common issue was the development of modeling activities with 45 studies. When we look at the distribution of learning areas, the most studied area is the subject of "Numbers and Operations" with 58 theses. The most commonly used method is qualitative research with 61.42% and the most common model is case study with 59.39%. It was determined that the most common sample type used in the studies was secondary school students. Content analysis is the most commonly used type of analysis in theses, and GeoGebra is the most commonly used technology. In the context of these results, suggestions were presented to the stakeholders.
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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 | 0.003 | 0.005 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.002 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| 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