Research Article
Raihan Zainudin, Hutkemri Zulnaidi, Nofouz Mafarja, Mohd Zahurin Mohamed Kamali
CONT ED TECHNOLOGY, Volume 17, Issue 2, Article No: ep569
ABSTRACT
Traditional rote learning methods often fail to adequately develop reasoning skills in mathematics, particularly among pre-university students. This study addresses challenges in fostering mathematical reasoning abilities, as evidenced by declining TIMSS results and resistance to pedagogical innovations. My online teaching with GeoGebra (MyOT_G+) kit was developed as a technology-enhanced teaching solution to improve students’ understanding of propositional logic. Grounded in constructivist theory, the kit integrates GeoGebra software and Venn diagrams for an interactive learning experience, focusing on subtopics such as De Morgan’s laws, conditional, converse, inverse, contrapositive, and biconditional statements. Using the design and development research approach and the ADDIE model, the study combined qualitative and quantitative methods. Phase 1 involved interviews with five mathematics lecturers and five pre-university students in Kuala Lumpur to identify instructional needs. Phase 2 focused on designing and validating the MyOT_G+ kit with input from 13 experts. Findings revealed the kit’s user-friendliness, adaptability, and ability to reduce cognitive load, facilitating a deeper understanding of mathematical concepts. This study highlights the potential of integrating technology into mathematics education, offering scalable solutions for improving reasoning skills in pre-university contexts. The MyOT_G+ kit provides evidence that interactive, visual tools enhance comprehension of complex topics, with implications for pre-university education and teacher training programs.
Keywords: online teaching, GeoGebra, MyOT_G+ kit, propositional logic, mathematical reasoning
Research Article
Kristina N. Higgins, Lindy Crawford, Jacqueline Huscroft-D’Angelo, Mark Horney
CONT ED TECHNOLOGY, Volume 7, Issue 1, pp. 1-24
ABSTRACT
Mathematical reasoning involves comprehending mathematical information and concepts in a logical way and forming conclusions and generalizations based on this comprehension. Computer-based learning has been incorporated into classrooms across the country, and specific aspects of technology need to be studied to determine how programs are influencing student reasoning and learning. This article explores how one aspect of computer-based learning, electronic support tools (ESTs), influences students’ mathematical reasoning over the course of an online supplemental mathematics program, the Math Learning Companion (MLC). Students in Grades 3, 4, and 5 (N = 31) from two private schools participated in MLC, and their reasoning was assessed before and after participating in the program. EST use was measured by using frequency counts for each tool. Results describe students’ tool use and reflect an overall change in their reasoning over the course of the intervention, indicating that students use ESTs as needed to individualize the learning program. Students specifically used ESTs as needed to improve their mathematical reasoning, their correctness of response, and their mathematical explanations of their answers over the course of the intervention.
Keywords: Mathematical reasoning, Computer-based instruction, Electronic support tools, Mathematics education