Automatic Evaluation of Open-Ended Mathematics Questions with Machine Learning

The main purpose of this research is to develop an effective and objective scoring model for evaluating open-ended mathematics questions using machine learning algorithms predicting the academic performance of secondary school students in mathematics. Data was collected from 350 fifth-grade secondary school students, and the responses were digitized. For the classification of student answers, state-of-the-art machine learning algorithms, including Support Vector Machines (SVM), Naive Bayes (NB), Decision Tree (DT), and K-Nearest Neighbors (KNN), were employed. The study utilized TF-IDF and BoW techniques to convert the text-based answers into numerical representations. Key features were then extracted from this digitized text data using the Chi-square (Chi2) feature selection method. The classification models were evaluated using performance metrics such as accuracy, F1-score, precision, and recall. Among the algorithms tested, the SVM model combined with the TF-IDF method achieved the highest performance, with 96.57% accuracy and a 96.49% F1 score.

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Publication Details

Journal
International Journal of Technology in Education and Science
Published
2026-11-02
DOI
https://doi.org/10.46328/ijtes.6760
Primary Topic
Online Learning and Analytics
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article
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article

Automatic Evaluation of Open-Ended Mathematics Questions with Machine Learning

Muhammet Demirbilek, Tarık Talan, Büşra KARACA, Mehmet Umut Salur
International Journal of Technology in Education and Science
Online Learning and Analytics
article

Automatic Evaluation of Open-Ended Mathematics Questions with Machine Learning

Muhammet Demirbilek, Tarık Talan, Büşra KARACA, Mehmet Umut Salur
article en

Abstract

The main purpose of this research is to develop an effective and objective scoring model for evaluating open-ended mathematics questions using machine learning algorithms predicting the academic performance of secondary school students in mathematics. Data was collected from 350 fifth-grade secondary school students, and the responses were digitized. For the classification of student answers, state-of-the-art machine learning algorithms, including Support Vector Machines (SVM), Naive Bayes (NB), Decision Tree (DT), and K-Nearest Neighbors (KNN), were employed. The study utilized TF-IDF and BoW techniques to convert the text-based answers into numerical representations. Key features were then extracted from this digitized text data using the Chi-square (Chi2) feature selection method. The classification models were evaluated using performance metrics such as accuracy, F1-score, precision, and recall. Among the algorithms tested, the SVM model combined with the TF-IDF method achieved the highest performance, with 96.57% accuracy and a 96.49% F1 score.

International Journal of Technology in Education and ScienceVol. 11(1)
Süleyman Demirel Üniversitesi (TR), Gaziantep İslam Bilim ve Teknoloji Üniversitesi (TR)
Quality education
Openalex Percentile: Top 11%
Online Learning and Analytics
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Automatic Evaluation of Open-Ended Mathematics Questions with Machine Learning — Muhammet Demirbilek, Tarık Talan, et al. · International Journal of Technology in Education and Science (2026) | TGRS Research Map | TGRS