Maharaj, Aneshkumar
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An Apos Investigation into Students’ Understanding of Logical Algebraic Connectives Longe, Idowu Oluwaseun; Maharaj, Aneshkumar
Jurnal Pendidikan Matematika IKIP Veteran Semarang Vol 8 No 3 (2024): Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang
Publisher : Urogram Studi Pendidikan Matematika, Universitas Ivet

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31331/medivesveteran.v8i3.2705

Abstract

this research focused on understanding Applied Science students' abilities to correctly apply equality on connectives properties to algebraic logic expressions and to comprehend the students' schema. This was done by assessing the students’ understanding of mathematical logic connectors in light of the polytechnic’s curriculum and APOS theory. The students were taught using the conventional teaching method and computer-assisted instruction(CAI). Students were given a test with three theoretical questions. The APOS analysis determined the schema level. Students struggled to connect their understanding of truth tables to algebraic form, demonstrating challenges with connector properties (particularly de Morgan's) and errors in bracket applications, which are centered on students not having appropriate mental structure at the object and schema level. while correct precision and knowledge that mathematical symbolism serves both an instrumental role and a communicative function indicate some sort of schema.
Applying APOS Theory to Enhance Algebraic Logic Skills: Comparing Traditional Teaching and Computer-Assisted Instruction Longe, Idowu Oluwaseun; Maharaj, Aneshkumar
Indonesian Journal of Science and Mathematics Education Vol. 6 No. 3 (2023): Indonesian Journal of Science and Mathematics Education
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ijsme.v6i3.16298

Abstract

This study aims to assess how effectively applied science students use equations to express connectivity in algebraic logic and understand their cognitive framework. This research measures students' understanding of mathematical logic connectors in line with the polytechnic curriculum and uses APOS theory as a basis. It compares the effectiveness of traditional teaching methods with the computer-assisted instruction (CAI) approach. The results show that students learning with CAI perform better in applying connectivity equations. These findings underscore the importance of students' cognitive schemes in understanding the relationship between algebra and logic. Students with a more mature conceptual understanding tend to overcome conceptual application difficulties better. For future research, it is suggested to explore the application of CAI methods in various learning contexts and other disciplines, as well as to assess its long-term impact on students' cognitive skills and mathematical understanding. Additionally, it is essential to compare the effectiveness of CAI with other innovative learning methods to determine the best approach to developing students' logic and algebra skills.