Mathematical Symbolization in Relation to Arts and Culture

Abstract

This paper stems from an analysis of a larger study that explored proficiency in mathematical symbolization and presents students’ representational fluency in using mathematical symbols concerning arts and culture. The research had the potential of revealing the conception of symbols by students, the thick line interconnection between mathematics and arts and underscoring mathematics symbols in the perspective of arts. The study objectives comprised finding out whether culture has mathematical concepts and how students conceive mathematical symbols concerning culture and traditions. The analysis made use of constructivist learning and ecological system theory as conceptual frameworks in lensing the study. The qualitative case study research design examined multiple representations of symbols among students in secondary schools and reported in light of symbols’ interconnections to the perspective of the arts. The findings of the study show that students are aware of mathematics concepts and their origin in the communities’ culture and prior knowledge of symbols contributes to challenges and tenacity in multiple representations of symbols in aspects of supportive and problematic conception. Discussion of these findings concerning performance in mathematics in the Kenya Certificate of Secondary Education (KCSE) may be owed to long-term negative effects on students’ understanding of mathematical symbolizations which in turn could impact achievement in mathematics. The study may be useful in recommending that emphasis could be put on better ways of integrating diverse cultures in the mathematics curriculum through curriculum documentation such as textbooks to enhance mathematical symbols’ conceptual understanding among students and reduce symbol cognitive load through proper pedagogical design