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Journal : Proceeding International Conference on Mathematics and Learning Research

Development of GeoGebra-Based PjBL Activities Containing Ethnomathematics in Spatial Geometry to Improve Mathematical Communication Falah, Fajrul; Waluyo, Mohamad
Proceeding International Conference on Mathematics and Learning Research 2025: Proceeding International Conference on Mathematics and Learning Research
Publisher : Universitas Muhammadiyah Surakarta

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Abstract

The low mathematical communication skills of junior high school students, particularly in presenting mathematical ideas and arguments in writing, form the background of this study. As a solution, a Project-Based Learning (PjBL) activity that integrates ethnomathematics content and is assisted by GeoGebra software was developed. This research is a development study (R&D) that adopted the ADDIE model (Analysis, Design, Development, Implementation, Evaluation). The aim of this research is to develop ethnomathematics-based Project-Based Learning activities and teaching tools assisted by GeoGebra on the topic of three-dimensional flat-sided shapes (cubes, cuboids, prisms, and pyramids), as well as to test their validity. The ethnomathematics context used is the architecture of the Dieng Temple to study the concept of surface area. The resulting product was assessed by subject matter and media experts. The validation results show an average score of 0.8542, which falls into the highly valid category. Therefore, the developed learning product is declared valid and feasible for use to support mathematical communication.
Assessment of Mathematics Proof Construction: Preservice Mathematics Teacher Training and Upper Secondary School Students Waluyo, Mohamad; Sutama, S; Setyaningsih, Nining
Proceeding International Conference on Mathematics and Learning Research 2025: Proceeding International Conference on Mathematics and Learning Research
Publisher : Universitas Muhammadiyah Surakarta

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Abstract

Constructing valid mathematical proofs is a fundamental yet persistent challenge for students. This study investigates the developmental trajectory of proof construction abilities among Indonesian students, spanning from upper secondary school (Grades 10-11) to undergraduate mathematics levels. Adopting a descriptive cross-sectional design, data were collected from 479 participants using open-ended proof construction tasks and a survey on proof perception. The results reveal a pervasive dominance of empirical proof schemes, where students rely on specific numerical examples rather than generalized logical arguments. Notably, formal proof construction was virtually non-existent at the secondary level, highlighting a significant pedagogical gap. While the frequency of formal proof attempts increased among university students, valid execution remained limited, indicating a disconnect between students' strategic knowledge and their normative understanding of "correct" proof. Furthermore, findings show a critical misalignment between perception and performance; students often recognized formal algebraic arguments as superior yet reverted to empirical methods in practice. The study concludes that the transition from inductive to deductive reasoning does not occur naturally and requires explicit instructional interventions to bridge the cognitive rupture between secondary calculation-based mathematics and tertiary formal reasoning.