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All Journal Annals of Mathematical Modeling Annals of Mathematical Modeling International Journal of Trends in Mathematics Education Research (IJTMER)
Abdurrobbil Falaq Dwi Anggoro
Mathematics Education Study Program, Bengkulu University, Jl. WR. Supratman Bengkulu, 38371A
Computer Science & IT Education Mathematics Other

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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.
Students' cognitive processes in understanding the application of derivatives Wahyu Widada; Dewi Herawaty; Wayan Gede; Khathibul Umam Zaid Nugroho; Abdurrobbil Falaq Dwi Anggoro; Shadaqnas Dewarif Tri Anggoro
Annals of Mathematical Modeling Vol. 2 No. 1 (2022)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i1.16

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.
Structural equation fit test of mathematical connection ability, mathematical reasoning, and mathematics problem-solving ability of junior high school students Abdurrobbil Falaq Dwi Anggoro; Saleh Haji; Hari Sumardi
International Journal of Trends in Mathematics Education Research Vol 5, No 1 (2022)
Publisher : SAINTIS Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (901.213 KB) | DOI: 10.33122/ijtmer.v5i1.117

Abstract

The purpose of this study was to test the compatibility of theoretical and empirical structural equations on the relationship between mathematical connection skills, mathematical reasoning, and mathematical problem-solving abilities of junior high school students. This is an ex-post facto research at SMP N 1 Bengkulu City. The population of this study was 296 people, and the sample was selected through a simple random technique of 100 people. Data collection techniques through tests with three research instruments. The three instruments are a mathematical problem-solving ability test, a mathematical reasoning ability test, and a mathematical connection ability test that have been valid and reliable based on expert tests and field tests. The data was tested using the Lisrel 8.8 application program. The results of the study are the P-valued of  0.05, RMSEA ≤ 0.08; NFI ≥ 0.90, NNFI ≥ 0.90; CFI ≥ 0.90; IFI ≥ 0.90; RFI ≥ 0.90; RMR ≤ 0.05; SRMR ≤ 0.05; GFI ≥ 0.90; and 0.8≤AGFI≤0.9; then the fit test for the complete structural equation model is good fit. It means that the theoretical structural equation model is compatible with the empirical structural equation model. Thus, the overall fit test of the model shows a fit model, and it can be concluded that the empirical structural equation model is compatible with the theoretical model.
Co-Authors Dewi Herawaty Dewi Herawaty Hari Sumardi Khathibul Umam Zaid Nugroho Khatibul Umam Zaid Nugroho Saleh Haji Shadaqnas Dewarif Tri Anggoro Shadaqnas Dewarif Tri Anggoro Wahyu Widada Wahyu Widada Wayan Gede Wayan Gede