Learning Trajectory of Numerical Problem-Solving Through STEM-Integrated Mathematics: A Didactical Design Research Approach

Mochamad Guntur; Puja Windari; Nur Indah Septia Ningsih

doi:10.17275/per.25.76.12.6

Learning Trajectory of Numerical Problem-Solving Through STEM-Integrated Mathematics: A Didactical Design Research Approach

Abstract

This study aims to investigate students' learning trajectory while solving comparison problems using the KoPer learning media integrated with STEM, as well as to enhance students' numerical problem-solving skills. The research involved 27 fifth-grade students from Taman KalijagaPermai Elementary School in Cirebon City. The students are divided into four grup using utilized purposive sampling to form learning groups and conduct numerical problem-solving tests. Students' learning trajectories were observed through patterns of numerical problem-solving, and the Hypothetical Learning Trajectory (HLT) was employed to develop hypotheses and serve as a research guide. This qualitative study adopted a Didactical Design Research (DDR) approach. Data collection was conducted through interviews, tests, and documentation. The results indicate that creating a good and effective learning design for a STEM-integrated learning trajectory requires effectively combining STEM aspects. During the implementation of the learning trajectory, all groups conducted practical experiments using KoPer integrated with STEM, yielding varied group results, with three groups performing well and two groups not meeting expectations. The numerical problem-solving tests revealed diverse answer patterns among students. These differences represent new findings that are hoped to contribute to future research. Through STEM media, student learning improved, demonstrating that STEM education can stimulate innovation and critical thinking in problem-solving. In conclusion, STEM-integrated numerical problem-solving in mathematics education related to comparisons is significantly effective for practical application in learning.

Keywords

Didactical Design Research, Learning Trajectory, Mathematics, Numerical problem-solving, STEM

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Details

Primary Language

English

Subjects

Specialist Studies in Education (Other)

Journal Section

Research Article

Authors

Mochamad Guntur ^*
0000-0001-6226-7999
Indonesia

Puja Windari
0009-0003-4957-9957
Indonesia

Nur Indah Septia Ningsih
0000-0002-8271-6728
Indonesia

Early Pub Date

November 4, 2025

Publication Date

November 1, 2025

Submission Date

September 6, 2024

Acceptance Date

June 4, 2025

Published in Issue

Year 2025 Volume: 12 Number: 6

DOI

https://doi.org/10.17275/per.25.76.12.6

IZ

https://izlik.org/JA42RM38JZ

APA

Guntur, M., Windari, P., & Ningsih, N. I. S. (2025). Learning Trajectory of Numerical Problem-Solving Through STEM-Integrated Mathematics: A Didactical Design Research Approach. Participatory Educational Research, 12(6), 1-35. https://doi.org/10.17275/per.25.76.12.6

AMA

1.Guntur M, Windari P, Ningsih NIS. Learning Trajectory of Numerical Problem-Solving Through STEM-Integrated Mathematics: A Didactical Design Research Approach. PER. 2025;12(6):1-35. doi:10.17275/per.25.76.12.6

Chicago

Guntur, Mochamad, Puja Windari, and Nur Indah Septia Ningsih. 2025. “Learning Trajectory of Numerical Problem-Solving Through STEM-Integrated Mathematics: A Didactical Design Research Approach”. Participatory Educational Research 12 (6): 1-35. https://doi.org/10.17275/per.25.76.12.6.

EndNote

Guntur M, Windari P, Ningsih NIS (November 1, 2025) Learning Trajectory of Numerical Problem-Solving Through STEM-Integrated Mathematics: A Didactical Design Research Approach. Participatory Educational Research 12 6 1–35.

IEEE

[1]M. Guntur, P. Windari, and N. I. S. Ningsih, “Learning Trajectory of Numerical Problem-Solving Through STEM-Integrated Mathematics: A Didactical Design Research Approach”, PER, vol. 12, no. 6, pp. 1–35, Nov. 2025, doi: 10.17275/per.25.76.12.6.

ISNAD

Guntur, Mochamad - Windari, Puja - Ningsih, Nur Indah Septia. “Learning Trajectory of Numerical Problem-Solving Through STEM-Integrated Mathematics: A Didactical Design Research Approach”. Participatory Educational Research 12/6 (November 1, 2025): 1-35. https://doi.org/10.17275/per.25.76.12.6.

JAMA

1.Guntur M, Windari P, Ningsih NIS. Learning Trajectory of Numerical Problem-Solving Through STEM-Integrated Mathematics: A Didactical Design Research Approach. PER. 2025;12:1–35.

MLA

Guntur, Mochamad, et al. “Learning Trajectory of Numerical Problem-Solving Through STEM-Integrated Mathematics: A Didactical Design Research Approach”. Participatory Educational Research, vol. 12, no. 6, Nov. 2025, pp. 1-35, doi:10.17275/per.25.76.12.6.

Vancouver

1.Mochamad Guntur, Puja Windari, Nur Indah Septia Ningsih. Learning Trajectory of Numerical Problem-Solving Through STEM-Integrated Mathematics: A Didactical Design Research Approach. PER. 2025 Nov. 1;12(6):1-35. doi:10.17275/per.25.76.12.6