The impact of grade 9 learners’ mathematical language proficiency on formulating linear equations from word problems

Abstract

This study investigates the critical relationship between Grade 9 learners’ mathematical language proficiency and their ability to formulate linear equations from word problems. In multilingual educational contexts such as South Africa, learners often grapple with the specialized and abstract language of mathematics, which acts as a significant barrier to accessing mathematical concepts. Word problems, which require learners to decode linguistic information, identify relevant variables and relationships, and translate these into symbolic algebraic form, are particularly challenging. This research posits that a learner’s proficiency in mathematical language, encompassing vocabulary, syntax, and the ability to interpret contextual and operational cues, is a primary determinant of their success in this translation process. The study employs a qualitative case study design, focusing on a cohort of Grade 9 learners. Data was collected through learner assessments on word problem-solving, semi-structured interviews, and classroom observations to gain a nuanced understanding of the linguistic and cognitive processes involved. The analysis is framed by cognitive load theory (CLT), which explains how linguistic ambiguity can overload working memory, and sociocultural theories of language in mathematics, which highlight how language functions as both a tool for meaning-making and a potential source of exclusion. Findings reveal a strong, positive correlation between learners' command of mathematical terminology and their success in formulating correct linear equations. Common errors were frequently traced back to misinterpretations of key relational phrases (e.g., ‘more than,’ ‘less than,’ ‘times as many’) and an inability to distinguish between operational verbs and descriptive language. The study concludes that targeted interventions to develop mathematical language proficiency are not merely supportive but essential for improving algebraic problem-solving skills. It recommends that mathematics instruction explicitly integrate language development strategies, such as vocabulary building, metacognitive discussions about problem structure, and the deconstruction of word problem syntax, to empower learners to bridge the gap between narrative context and mathematical representation. This research contributes to a growing body of literature advocating for a more linguistically responsive approach to mathematics education, particularly in diverse, multilingual classrooms.