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Validity and Practicality of GeoGebra-Assissted PBL-Based E-Worksheet to Improve Students Critical Thinking in Circle Equation Topic Faculty of Teacher Training and Education, Sebelas Maret University Abstract Mathematics learning in vocational schools still faces challenges such as low critical thinking skills, limited technology use, and teacher-centered instruction. This study aimed to determine the validity and practicality of a GeoGebra-assisted Problem-Based Learning (PBL) Electronic Student Worksheet (E-LKPD) on circle equations to enhance students critical thinking skills. Using the ADDIE development model Analyze, Design, Develop, Implement, and Evaluate the study involved eleventh-grade students of the Computer and Network Engineering Department at SMK Yapek Gombong, Kebumen. Data were collected through expert validation sheets, teacher and student response questionnaires, and a critical thinking test based on Faciones indicators: interpretation, analysis, evaluation, and inference. The validation results showed that the material experts rated the E-LKPD at 83,3% and media experts at 84,6%, both in the very valid category. Practicality tests showed an average of 88,8% in the one-to-one trial and 85,5% in the small group trial, both in the very practical category. These results indicate that the GeoGebra-assisted PBL-based E-LKPD is valid and practical for mathematics learning and has strong potential to improve students critical thinking skills. Keywords: E-LKPD- Problem-Based Learning- GeoGebra- Critical Thinking- Circle Equation Topic: Mathematics and Mathematics Education |
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