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Journal : Journal of Didactic Mathematics

Students’ conceptual understanding in analytic geometry of planes based on their prior mathematical ability Negara, Habibi Ratu Perwira; Santosa, Farah Heniati; Fatimah, Ade Evi; Nasrullah, Ahmad
Journal of Didactic Mathematics Vol 5, No 3 (2024): December
Publisher : Mahesa Research Center

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34007/jdm.v5i3.1982

Abstract

Mathematical conceptual understanding is a fundamental skill that serves as a foundation for more advanced abilities, including reasoning, communication, connections, and problem-solving. However, this foundational skill is influenced by students’ prior mathematical abilities. Therefore, the objective of this study is to identify and describe differences in students’ mathematical conceptual understanding based on their prior mathematical abilities. This research employs a mixed-method approach, involving 87 purposively selected students enrolled in the Analytic Geometry in Planes and Space course. The research instruments include a mathematical conceptual understanding test and documentation of students’ prior mathematical abilities. Data were analyzed quantitatively using one-way ANOVA and qualitatively by exploring mathematical conceptual understanding across categories of prior mathematical abilities. The findings reveal that both quantitative and qualitative analyses indicate that students with high prior mathematical abilities demonstrate superior mathematical conceptual understanding compared to those with medium or low prior mathematical abilities.
Studi transposisi didaktik terhadap mahasiswa calon guru matematika: Tinjauan pada konteks knowledge to be taught dalam konsep turunan Prihandhika, Aditya; Fatimah, Ade Evi; Sujata, Tatang
Journal of Didactic Mathematics Vol 4, No 3 (2023): December
Publisher : Mahesa Research Center

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34007/jdm.v4i3.1966

Abstract

The concept of derivatives is an important concept in the field of Calculus to be studied and taught at school and university levels. However, understanding derived concepts that do not fully involve the meaning of various representations has the potential to trigger a combination of concept descriptions with formal concept definitions as well as learning challenges or learning obstacles in epistemological, ontogenic and also didactic aspects. Therefore, the research carried out aims to observe the context of the knowledge that will be taught as one of a series of didactic transposition processes in order to obtain transpositional knowledge that is relevant to be taught. The research method used is qualitative research with a hermeneutic phenomenological approach. The participants involved in the research were 38 students who were prospective mathematics teachers from one of the universities in West Java. The research results show that there are inaccuracies in the presentation of ideas and concepts related to the knowledge to be taught, especially in the definition of derivative concepts. The mismatch between formal concept definitions and participant concept descriptions in learning by referring to mathematics textbooks which are used as the main reference results in learning obstacles for the subjects so that there is a need for repersonalization and recontextualization as an effort to produce more meaningful knowledge.