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Journal : Journal of Honai Math

Developing Methematics Student Activitu Sheel (SAS) In transfornation for Seventh Grade Students of SMP/MTs Based Curriculum 2014 Aini, Noor; Sumargiyani, Sumargiyani
Journal of Honai Math Vol. 1 No. 1 (2018): Journal of Honai Math
Publisher : Universitas Papua

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Abstract

This research aims to produce teaching materials in the form of Student Activity Sheet (SAS) in transformations for students of class VII SMP/MTs based curriculum 2013 and to test the feasibility of SAS in mathematics learning. This research is a development with the steps of Research and Development (R&D) of the ADDIE   model (Analysis, Design, Development, Implementation, Evaluation). The research is carried out at SMP N 1 Prambanan Sleman and SMPN 4 Kalasan, Sleman. The research data is obtained from the questionnaire evaluation media matter by media matter experts, questionnaire evaluation media by media experts, questionnaire evaluation student responses by students. The research data are analyzed by the process of descriptive analysis and the process of analysis questionnaire with Likert scale. The results showed that the SAS of mathematics developed are good quality with an average percentage of ideals 82,416% and validity criteria by 67,999% < 𝑋 ≤ 83,998%. DOI:  https://doi.org/10.30862/jhm.v1i1.804
Discovery Learning as a Diagnostic Framework for Analyzing Conceptual, Procedural, and Technical Errors in Function Graph Interpretation Sumargiyani, Sumargiyani; Rohmah, Siti Nur; Setyawan, Fariz
Journal of Honai Math Vol. 8 No. 3 (2025): Journal of Honai Math
Publisher : Universitas Papua

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Abstract

Understanding functions and their graphical representations constitutes a fundamental component of introductory calculus learning; however, many first-year university students continue to experience substantial difficulties in interpreting graphs and relating mathematical functions to authentic real-world situations. Although previous studies have extensively examined students’ procedural performance in calculus, limited attention has been devoted to diagnosing the underlying conceptual obstacles through instructional approaches that simultaneously function as learning and assessment instruments, thereby establishing the novelty of this study through the integration of Discovery Learning-based worksheets as both diagnostic and pedagogical tools. This study aims to identify, classify, and reduce students’ errors in understanding functions and graph representations among 21 first-semester students in the Mathematics Education Program at Universitas Ahmad Dahlan using a qualitative descriptive design. Data were collected from students’ worksheet responses and analyzed through iterative processes of data reduction, data display, and conclusion drawing. The findings revealed three categories of errors, namely conceptual, procedural, and technical errors, with conceptual errors emerging as the most dominant, particularly in distinguishing functions from relations, interpreting discrete and continuous domains, and contextualizing functions in real-life applications. Furthermore, the Discovery Learning worksheets promoted active concept construction through exploration, reflection, and guided problem-solving activities while revealing persistent misconceptions and reasoning patterns. These findings provide a meaningful pedagogical contribution to mathematics education by offering a systematic framework for diagnosing learning obstacles and strengthening students’ conceptual understanding of functions in introductory calculus courses.