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Journal : Discovery : Jurnal Ilmu Pengetahuan

Analisis Kemampuan Berpikir Kritis Siswa Dalam Menyelesaikan Masalah Materi Program Linear Ditinjau Dari Gaya Kognitif Field-Dependent dan Field-Independent zahro, Solikhati; Zuhri, Zainullah
Discovery Vol 9 No 2 (2024): October 2024
Publisher : LPPM Universitas Hasyim Asy'ari Lembaga Penelitian dan Pengabdian Masyarakat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33752/discovery.v9i2.6926

Abstract

The aim of this research is to describe students' critical thinking abilities in solving problems with linear programming material in terms of Field-Dependent and Field-Independent cognitive styles. The type of research used is descriptive research with a qualitative approach. The research instruments used in this research include the cognitive style test (GEFT test), critical thinking ability test, and interview guide. The subjects used in this research were 4 students taken from class XI of Dewantoro Purwosari Vocational School. According to the results of the GEFT test that was carried out, the subject was 2 students with a Field- Dependent cognitive style and 2 students with a Field-Independent cognitive style. The information retrieval techniques used in this research are the GEFT test, critical thinking ability test, and interview guide. Next, the data collection technique used is reducing data, presenting data and drawing conclusions. At the stage of checking the validity of the data, this research used triangulation techniques, namely tests and interviews. The results of this research state that students who have a Field-Dependent cognitive style have quite high critical thinking abilities. And able to fulfill 3 indicators of critical thinking ability including the analysis stage, evaluation stage and inference stage (conclusion). Meanwhile, the subject interpretation stage FD1 is classified as sufficient, while FD2 is classified as not yet sufficient. Meanwhile, students who have a Field- Independent cognitive style have high critical thinking abilities. And able to fulfill 4 indicators of critical thinking ability including the interpretation stage, analysis stage, evaluation stage and inference stage (conclusion).
Connecting Theorems and Definitions: Students' Exploration of Function Derivatives Zuhri, Zainullah
Discovery Vol 10 No 1 (2025): March 2025
Publisher : LPPM Universitas Hasyim Asy'ari Lembaga Penelitian dan Pengabdian Masyarakat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33752/discovery.v10i1.8615

Abstract

This study aims to analyze students' understanding of derivatives of functions through independent exploration, where students were asked to create examples of functions, calculate their derivatives using differentiation theorems, and prove the results using the definition of derivatives. The subjects of the study were 35 first-semester students from the mathematics education program. Data was collected through exploratory tasks, interviews, and observations. The results showed that all students were able to determine the derivatives of the functions they created, although proving the derivative using the definition was more challenging as it involved the concept of limits previously studied. Five students demonstrated a deeper understanding by creating more complex examples, such as root and rational functions, which required manipulation techniques and the application of the quotient rule for derivatives. Interviews revealed that proving the derivative with the definition provided a deeper understanding of the fundamental concepts of derivatives. This study suggests using varied exploratory tasks and reflection sessions to enhance students' conceptual understanding of derivatives.
Connecting Theorems and Definitions: Students' Exploration of Function Derivatives Zuhri, Zainullah
Discovery Vol 10 No 1 (2025): March 2025
Publisher : LPPM Universitas Hasyim Asy'ari Lembaga Penelitian dan Pengabdian Masyarakat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33752/discovery.v10i1.8615

Abstract

This study aims to analyze students' understanding of derivatives of functions through independent exploration, where students were asked to create examples of functions, calculate their derivatives using differentiation theorems, and prove the results using the definition of derivatives. The subjects of the study were 35 first-semester students from the mathematics education program. Data was collected through exploratory tasks, interviews, and observations. The results showed that all students were able to determine the derivatives of the functions they created, although proving the derivative using the definition was more challenging as it involved the concept of limits previously studied. Five students demonstrated a deeper understanding by creating more complex examples, such as root and rational functions, which required manipulation techniques and the application of the quotient rule for derivatives. Interviews revealed that proving the derivative with the definition provided a deeper understanding of the fundamental concepts of derivatives. This study suggests using varied exploratory tasks and reflection sessions to enhance students' conceptual understanding of derivatives.
Analisis Kemampuan Berpikir Kritis Siswa Dalam Menyelesaikan Masalah Materi Program Linear Ditinjau Dari Gaya Kognitif Field-Dependent dan Field-Independent zahro, Solikhati; Zuhri, Zainullah
Discovery Vol 9 No 2 (2024): October 2024
Publisher : LPPM Universitas Hasyim Asy'ari Lembaga Penelitian dan Pengabdian Masyarakat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33752/discovery.v9i2.6926

Abstract

The aim of this research is to describe students' critical thinking abilities in solving problems with linear programming material in terms of Field-Dependent and Field-Independent cognitive styles. The type of research used is descriptive research with a qualitative approach. The research instruments used in this research include the cognitive style test (GEFT test), critical thinking ability test, and interview guide. The subjects used in this research were 4 students taken from class XI of Dewantoro Purwosari Vocational School. According to the results of the GEFT test that was carried out, the subject was 2 students with a Field- Dependent cognitive style and 2 students with a Field-Independent cognitive style. The information retrieval techniques used in this research are the GEFT test, critical thinking ability test, and interview guide. Next, the data collection technique used is reducing data, presenting data and drawing conclusions. At the stage of checking the validity of the data, this research used triangulation techniques, namely tests and interviews. The results of this research state that students who have a Field-Dependent cognitive style have quite high critical thinking abilities. And able to fulfill 3 indicators of critical thinking ability including the analysis stage, evaluation stage and inference stage (conclusion). Meanwhile, the subject interpretation stage FD1 is classified as sufficient, while FD2 is classified as not yet sufficient. Meanwhile, students who have a Field- Independent cognitive style have high critical thinking abilities. And able to fulfill 4 indicators of critical thinking ability including the interpretation stage, analysis stage, evaluation stage and inference stage (conclusion).