Designing a Blended Learning Model to Support Mathematical Thinking in Multivariable Calculus

Abstract

Multivariable Calculus is one of the most difficult courses for undergraduate students. Researchers at Universiti Teknologi Malaysia (UTM) endeavor to support students in the learning of Multivariable Calculus by promoting mathematical thinking in a face-to-face classroom. This study attempts to identify not only learning difficulties in Multivariable Calculus through mathematical thinking approach but also the ways and means of improving these difficulties based on students and lecturers recommendations. The main purpose of this study is to establish a model of teaching and learning based on these findings for designing a blended learning instruction of Multivariable Calculus course through mathematical thinking approach. It first attempts to identify the theoretical reasons for selecting blended learning to promote mathematical thinking in Multivariable Calculus. Then, it exemplifies a teaching and learning model to support students’ mathematical thinking in Multivariable Calculus through blended learning instruction.