Design and development of linear algebra peer tutoring strategy to develop students mathematical thinking processes based on experts' evaluation

Abstract

This study aims at designing, developing and evaluating the effectiveness of a learning strategy known as linear algebra peer tutoring strategy (LAPTS) in a polytechnic classroom setting in order to develop students mathematical thinking processes (MTPs) based on Mason's approach. Preliminary investigations were conducted on the conventional teaching and learning in order to identify students' problems in linear algebra (LA) and its outcomes were then analyze to fit the theoretical framework as well as meet the need for the design. LAPTS was designed using ADDIE (analysis, design, development, implementation, evaluation) model employing both quantitative and qualitative methods. During the formative evaluation, a pilot study was conducted to verify and validate the LAPTS through experts' content validity and interviews. Seventy-three students (36 students for experimental group and 37 students for control group) voluntarily participated in the study to ascertain the effectiveness of the LAPTS based on their MTPs. The findings show a significant difference between the mean scores of both experimental and control groups on posttest at α=0.05 (p=0.000) level of significant. In addition, the analysis of the students' MTPs showed a significant difference with respect to specializing, generalizing and conjecturing with a non-significant difference in convincing. Results from the study showed development of MTPs and learning among the students. The findings in this research indicated that, LAPTS has the potential to develop students' MTPs with respect to Mason's approach and learning in LA.