Allen Marga Retta, Allen Marga
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Journal : Mathematics Education Journal

Obstacles to Relations and Functions Concepts Learning in Terms of Theory of Didactic Situations Criteria Kesumawati, Nila; Lusiana; Fuadiah, Nyiayu Fahriza; Retta, Allen Marga
Mathematics Education Journal Vol. 18 No. 2 (2024): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jpm.v18i2.pp259-272

Abstract

Effective learning planning requires information on the obstacles to learning a given concept that students experience to create a learning flow that matches the students’ characters, including in the learning of the concepts of relations and functions. The research aims to determine the learning obstacles (LOs) that students experience in learning the concepts of relations and functions as per the criteria of the theory of didactic situations (TDS). Employing the case study method, this qualitative research was conducted with subjects that included 19 prospective teacher students who had taken a diagnostic test and participated in in-depth interviews. An analysis was conducted based on three TDS criteria, namely action, formulation, and validation. The results revealed two types of LOs that students experienced in learning the concepts of relations and functions: 1) ontogenic obstacles and 2) epistemological obstacles. The first type of obstacles included 1a) the inability to properly understand the definition of the intersection of two relations, referred to as conceptual ontogenic obstacle, and 1b) the inability to relate the concept of relations in drawing a Hasse diagram, referred to as instrumental ontogenic obstacle. Meanwhile, the second type included 2a) the difficulty in expressing relations in the forms of mapping diagrams and graphs, 2b) the difficulty in determining the range of ​​a function, 2c) the difficulty in identifying relations which are also functions, 2d) the inability to represent relations in the forms of mapping diagrams, and 2e) the inability to write a function as a set of ordered pairs. It is recommended that these LO findings be taken into consideration in designing learning tools.
Student Worksheet Development Using the PMRI Approach in the Classroom Context with an Orientation toward Students’ Conceptual Understanding Nova, Erias; Retta, Allen Marga; Nopriyanti, Tika Dwi
Mathematics Education Journal Vol. 16 No. 2 (2022): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

This research aimed to produce a valid and practical product in the form of a student worksheet using the Indonesian version of the Realistic Mathematics Education (PMRI) approach in the classroom context with an orientation toward students’ conceptual understanding and to figure out the potential effect of the student worksheet developed. It is a piece of development research under the ADDIE (Analysis, Design, Development, Implementation, and Evaluation) model. Data collection was performed using documentation, a questionnaire, and a test. The object of this research was the development of a student worksheet using the PMRI approach within the classroom context with an orientation toward students’ conceptual understanding. Meanwhile, the subjects of the research were students of grade X of SMAN 06 Banyuasin. The research results showed that the student worksheet produced was declared valid (with an average score of 90.83), practical (based on the students’ questionnaire responses, with a score of 79.65), and potentially influential to a high degree (based on the students’ test results, with a percentage of 84%). Therefore, the student worksheet that was developed using the PMRI approach within the classroom context with an orientation toward students’ conceptual understanding was worth using in the learning process.DOI : https://doi.org/10.22342/jpm.16.2.14854.203-214