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Journal : Annals of Mathematical Modeling

Students' cognitive processes in understanding the application of derivatives Wahyu Widada; Dewi Herawaty; Wayan Gede; Khatibul Umam Zaid Nugroho; Abdurrobbil Falaq Dwi Anggoro; Shadaqnas Dewarif Tri Anggoro
Annals of Mathematical Modeling Vol 2, No 1 (2020)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i1.69

Abstract

Derivatives are one of the objects of calculus that is difficult for students to learn. The purpose of this study was to describe the cognitive processes of students in understanding the application of derivatives. This is a qualitative research involving one subject with the initials L. The main instrument of this research is the researcher who is guided by an assignment sheet and an interview guide. Data collection was carried out through task-based interviews. To get complete and accurate data recorded through audiovisual. Data were analyzed descriptively through genetic decomposition based on APOS (action-process-object-schema) theory. The results of this study are that L can coordinate the process-object of all the properties of a given function, with adjacent or overlapping intervals in all h domains so that a mature scheme of function graph sketches is formed. So that an accurate function graph sketch is obtained. The conclusion is that L's cognitive process of applying derivatives is at a high level. It's a trance level.
The understanding abilities of real number concepts for primary school student Khathibul Umam Zaid Nugroho; Saleh Haji
Annals of Mathematical Modeling Vol 2, No 2 (2020)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i2.86

Abstract

The purpose of this study was to determine the characteristics of relational elementary students in understanding the concept of real numbers. This research is an exploration of the research subject. The subjects of this study were students of MIN 2 Bengkulu Selatan. There is one realistic student in this research. The researcher is the main instrument in this research which is supported by an interview guide and an assignment sheet on the concept of real numbers. The data were analyzed qualitatively. The results of this study are that students with relational abilities can combine separate pieces of information to produce the completion of a task. Therefore it is suggested to teachers and researchers of mathematics education to explore students' mathematical cognitive processes before determining the learning strategies to be carried out.