Search

Embedding technology in teaching and learning (T&L) becomes necessary, especially during open distance learning (ODL). Mobius is a math-based online platform that provides interactive T&L applications to meet the ODL requirements. This platform is built on Maple software with intelligent grading and response, where students can attempt several random questions within the same subtopic and get an immediate response. However, students' response to this platform is the primary concern. Thus, this study analyzed the students' feedback on using Mobius for Calculus I. The content designs, implementation, and students' experience using this platform are discussed. The respondents in this study were 20 non-mathematical students in the second semester of Bachelor of Information Technology, Faculty of Computer and Mathematical Sciences, UiTM Shah Alam. Students were given access to Mobius and required to complete all the exercises on selected topics in Calculus I - techniques of differentiation, chain rule, techniques of integration and application of integration. Finally, their feedback is recorded and analyzed. The result shows that most students showed positive feedback on using Mobius to improve their Calculus I understanding and recommended using Mobius in T&L sessions. [ABSTRACT FROM AUTHOR]

Let G be a finite group. The commutativity degree of a group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group which is defined as the probability that the n-th power of a random pair of elements in the group commute. In this research, the n-th power commutativity degree for some dihedral groups is computed for the case n equal to 3, called the cubed commutativity degree. [ABSTRACT FROM AUTHOR]

The commutativity degree of a group is the probability that two randomly chosen elements of G commute. The concept of commutativity degree is then extended to the relative commutativity degree of a group, which is defined as the probability for an element of H and an element of G to commute to one another. In this research, the relative commutativity degree concept is extended to the probability of a product of two subgroups of a group G productivity degree of two subgroups of a group G which is defined as the ratio of the order of the intersection of HK and KH with the order of their union where H and K are the subgroups of a group G. This research focuses only on the dihedral groups. [ABSTRACT FROM AUTHOR]

Let G be a group and H any subgroup of G. The commutativity degree of a finite group G is defined as the probability that a pair of elements x and y, chosen randomly from a group G, commute. The concept of commutativity degree has been extended to the relative commutativity degree of a subgroup H, which is defined as the probability that a random element of a subgroup, H commutes with another random element of a group G. This research extends the concept of relative commutativity degree to the multiplicative degree of a group G, which is defined as the probability that the product of a pair of elements x, y chosen randomly from a group G, is in H. This research focuses on some dihedral groups. [ABSTRACT FROM AUTHOR]