Context in geometry in secondary school mathematics textbooks

Abstract

Mathematics textbooks are commonly considered to be tools for efficient teaching and implementing change in mathematics classrooms worldwide, helping teachers to teach and learners to learn. When the content as described in the curriculum is not faithfully and relevantly represented in textbooks, learners’ opportunity is limited. Against this background, opportunity to learn Euclidean geometry was investigated by scrutinising four Grade 11 mathematics textbooks used in South African schools, using deductive content analysis. The Kurz Opportunity to Learn (OTL) Model was the theoretical foundation focusing on content coverage and the quality of tasks. In this paper, the embedding of context within geometry questions is investigated as one of the criteria in judging the quality of tasks. The study revealed that although the four textbooks covered almost all the Euclidean geometry topics in depth, contextualisation was absent, despite its ability to improve learners’ problem recognition, interpretation and understanding abilities. All the questions were intra-mathematical. With the use of contextualised tasks, possibly the real world can enter the mathematics classroom, so that the age-old learner question, “Why am I doing this?” may be answered with a demonstration of relevance.