Development of APOS Model Student Worksheet Assisted by GeoGebra on Line and Angle Material Representation in Mathematics in Junior High School
- 1Universitas Bengkulu
Abstract
Preliminary observations and interviews with teachers identified low levels of students’ mathematical representation skills in junior high school mathematics learning, particularly in representing mathematical concepts in visual, symbolic, and verbal forms. The limited use of technology-based teaching materials also highlights the need for learning resources that integrate an appropriate instructional model with interactive technology. This study aimed to develop an APOS (Action, Process, Object, and Schema) model Student Worksheet assisted by GeoGebra for the topic of Lines and Angles and to examine its validity, practicality, and effectiveness. This Research and Development study employed the ADDIE model, comprising Analysis, Design, Development, Implementation, and Evaluation stages. The research subjects were 30 seventh-grade students at SMP Negeri 28 Bengkulu Selatan, with 10 selected through purposive sampling for a small-group practicality trial. Data were collected using expert validation sheets, student response questionnaires, and pretest and posttest instruments. The results showed an Aiken’s V coefficient of 0.86, indicating a high level of validity; a practicality score of 83.7%, categorized as practical; and an N-Gain score of 0.60, indicating a moderate improvement in students’ mathematical representation skills. The developed Student Worksheet integrates APOS-based concept construction with dynamic GeoGebra visualization, thereby providing a technology-based learning resource for the topic of Lines and Angles.
Related
- Development of Student Worksheet Based on Local Cultural Ethnomathematics on Quadrilateral and Triangle Topics
- Statistical Theory in the Age of Machine-Assisted Mathematics: Rethinking How Theory Is Made and Taught
- FOMTools: Development and AI-Assisted Code Generation for First-Order Methods
- What professional knowledge of mathematics do CLIS teachers need?
- Domain-Specific Mathematics Performance of Grade 8 Students: Evidence from a K to 12 Achievement Test
BibTeX
@article{winanda2026development,
title = {{Development of APOS Model Student Worksheet Assisted by GeoGebra on Line and Angle Material Representation in Mathematics in Junior High School}},
author = {Dio Reski Winanda and Hanifah and Agus Susanta},
journal = {Journal of Mathematics Instruction, Social Research and Opinion},
year = {2026},
month = oct,
doi = {10.58421/misro.v5i3.2000},
url = {https://doi.org/10.58421/misro.v5i3.2000},
note = {CC BY-SA},
}
RIS
TY - JOUR
TI - Development of APOS Model Student Worksheet Assisted by GeoGebra on Line and Angle Material Representation in Mathematics in Junior High School
AU - Dio Reski Winanda
AU - Hanifah
AU - Agus Susanta
PY - 2026
DA - 2026/10/25
JO - Journal of Mathematics Instruction, Social Research and Opinion
DO - 10.58421/misro.v5i3.2000
UR - https://doi.org/10.58421/misro.v5i3.2000
AB - Preliminary observations and interviews with teachers identified low levels of students’ mathematical representation skills in junior high school mathematics learning, particularly in representing mathematical concepts in visual, symbolic, and verbal forms. The limited use of technology-based teaching materials also highlights the need for learning resources that integrate an appropriate instructional model with interactive technology. This study aimed to develop an APOS (Action, Process, Object, and Schema) model Student Worksheet assisted by GeoGebra for the topic of Lines and Angles and to examine its validity, practicality, and effectiveness. This Research and Development study employed the ADDIE model, comprising Analysis, Design, Development, Implementation, and Evaluation stages. The research subjects were 30 seventh-grade students at SMP Negeri 28 Bengkulu Selatan, with 10 selected through purposive sampling for a small-group practicality trial. Data were collected using expert validation sheets, student response questionnaires, and pretest and posttest instruments. The results showed an Aiken’s V coefficient of 0.86, indicating a high level of validity; a practicality score of 83.7%, categorized as practical; and an N-Gain score of 0.60, indicating a moderate improvement in students’ mathematical representation skills. The developed Student Worksheet integrates APOS-based concept construction with dynamic GeoGebra visualization, thereby providing a technology-based learning resource for the topic of Lines and Angles.
SN - 2962-7842
ER -