Exploring High School Students' Mathematical Reasoning in Geometry Using GeoGebra-Assisted Problem-Based Learning

The significance of mathematical reasoning in mathematics instruction and the substantial incidence of inadequate mathematical reasoning among high school students prompted this study. This study intends to explore the mathematical reasoning of high school students about three-dimensional geometry...

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Main Authors: Humam Nuralam, Al Jupri, Wenda Alifulloh
Format: Article
Language:English
Published: Universitas Negeri Jakarta 2024-12-01
Series:Jurnal Teknologi Pendidikan
Subjects:
Online Access:https://journal.unj.ac.id/unj/index.php/jtp/article/view/49887
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author Humam Nuralam
Al Jupri
Wenda Alifulloh
author_facet Humam Nuralam
Al Jupri
Wenda Alifulloh
author_sort Humam Nuralam
collection DOAJ
description The significance of mathematical reasoning in mathematics instruction and the substantial incidence of inadequate mathematical reasoning among high school students prompted this study. This study intends to explore the mathematical reasoning of high school students about three-dimensional geometry using the GeoGebra-assisted Problem-Based Learning (GPBL) model. This research applied a quasi-experimental design including a non-equivalent pretest and posttest control group. The subjects of this research were specifically 12th-grade students from an upper secondary school in Subang. The research contained two classes, with 27 students as the experimental group and 27 as the control group. Interviews were conducted to identify the factors that explain students' difficulties in solving mathematical reasoning problems concerning three-dimensional geometry. The findings indicated that (1) overall, the enhancement of mathematical reasoning among students utilizing the GPBL model was significantly higher than that of students implementing the conventional learning model; (2) referring to students' prior mathematical ability (PMA), the enhancement in mathematical reasoning for students in high, medium, and low PMA groups utilizing the GPBL model was significantly higher than that of students implementing the conventional learning model; (3) the main obstacle discovered by students to solving mathematical reasoning problems involving three-dimensional geometry is their struggle in visualizing problems in a three-dimensional context. GeoGebra assists students in visually constructing three-dimensional geometry problems and evaluating the outcomes of algebraic algorithms with 3D graphical representations.
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publishDate 2024-12-01
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series Jurnal Teknologi Pendidikan
spelling doaj-art-15c54932082f45de9949e43497f7bc6c2025-01-19T13:21:27ZengUniversitas Negeri JakartaJurnal Teknologi Pendidikan1411-27442620-30812024-12-0126310.21009/jtp.v26i3.49887Exploring High School Students' Mathematical Reasoning in Geometry Using GeoGebra-Assisted Problem-Based LearningHumam Nuralam0Al Jupri1Wenda Alifulloh2Universitas Pendidikan Indonesia, Bandung, IndonesiaUniversitas Pendidikan Indonesia, Bandung, IndonesiaUniversitas Pendidikan Indonesia, Bandung, Indonesia The significance of mathematical reasoning in mathematics instruction and the substantial incidence of inadequate mathematical reasoning among high school students prompted this study. This study intends to explore the mathematical reasoning of high school students about three-dimensional geometry using the GeoGebra-assisted Problem-Based Learning (GPBL) model. This research applied a quasi-experimental design including a non-equivalent pretest and posttest control group. The subjects of this research were specifically 12th-grade students from an upper secondary school in Subang. The research contained two classes, with 27 students as the experimental group and 27 as the control group. Interviews were conducted to identify the factors that explain students' difficulties in solving mathematical reasoning problems concerning three-dimensional geometry. The findings indicated that (1) overall, the enhancement of mathematical reasoning among students utilizing the GPBL model was significantly higher than that of students implementing the conventional learning model; (2) referring to students' prior mathematical ability (PMA), the enhancement in mathematical reasoning for students in high, medium, and low PMA groups utilizing the GPBL model was significantly higher than that of students implementing the conventional learning model; (3) the main obstacle discovered by students to solving mathematical reasoning problems involving three-dimensional geometry is their struggle in visualizing problems in a three-dimensional context. GeoGebra assists students in visually constructing three-dimensional geometry problems and evaluating the outcomes of algebraic algorithms with 3D graphical representations. https://journal.unj.ac.id/unj/index.php/jtp/article/view/49887Mathematical ReasoningGeometryProblem-Based LearningGeoGebraPrior Mathematical Ability
spellingShingle Humam Nuralam
Al Jupri
Wenda Alifulloh
Exploring High School Students' Mathematical Reasoning in Geometry Using GeoGebra-Assisted Problem-Based Learning
Jurnal Teknologi Pendidikan
Mathematical Reasoning
Geometry
Problem-Based Learning
GeoGebra
Prior Mathematical Ability
title Exploring High School Students' Mathematical Reasoning in Geometry Using GeoGebra-Assisted Problem-Based Learning
title_full Exploring High School Students' Mathematical Reasoning in Geometry Using GeoGebra-Assisted Problem-Based Learning
title_fullStr Exploring High School Students' Mathematical Reasoning in Geometry Using GeoGebra-Assisted Problem-Based Learning
title_full_unstemmed Exploring High School Students' Mathematical Reasoning in Geometry Using GeoGebra-Assisted Problem-Based Learning
title_short Exploring High School Students' Mathematical Reasoning in Geometry Using GeoGebra-Assisted Problem-Based Learning
title_sort exploring high school students mathematical reasoning in geometry using geogebra assisted problem based learning
topic Mathematical Reasoning
Geometry
Problem-Based Learning
GeoGebra
Prior Mathematical Ability
url https://journal.unj.ac.id/unj/index.php/jtp/article/view/49887
work_keys_str_mv AT humamnuralam exploringhighschoolstudentsmathematicalreasoningingeometryusinggeogebraassistedproblembasedlearning
AT aljupri exploringhighschoolstudentsmathematicalreasoningingeometryusinggeogebraassistedproblembasedlearning
AT wendaalifulloh exploringhighschoolstudentsmathematicalreasoningingeometryusinggeogebraassistedproblembasedlearning