The role of mathematical language skills in arithmetic fluency and word-problem solving for first- and second-language learners.

Abstract

Educational Impact and Implications Statement How do language skills affect mathematics for second-language learners? Vocabulary skills in the instructional language were more strongly related to word-problem solving and arithmetic skills for second- than first-language learners. Teachers of second-language learners may need to adapt materials or reduce language demands so that all students have equal opportunity to develop competent mathematical skills. For all students, explicit instruction on mathematical vocabulary and mathematical orthography may support their mathematical competency. Language skills play an important role in mathematics development. Students (7 to 10 years of age) learning school mathematics either in the same language used at home (first-language learners; n = 103) or in a different language (second-language learners; n = 57) participated in the study. Relations among cognitive skills (i.e., receptive vocabulary, working memory, quantitative skills), domain-specific language skills (i.e., mathematical vocabulary, mathematical orthography), word-problem solving, arithmetic fluency, and word reading were investigated. Second-language learners had lower scores on measures with strong language components (i.e., receptive vocabulary, subitizing, and word-problem solving) than first-language learners, whereas they performed equally well on other tasks. Mathematical vocabulary and receptive vocabulary contributed to word-problem solving success for first-language learners, whereas only receptive vocabulary in the language of instruction related to mathematical outcomes for second-language learners. Mathematical vocabulary was related to arithmetic fluency for both groups, but mathematical orthography was not. For both groups, students' word reading was predicted by receptive vocabulary but not by quantitative skills, highlighting the domain-specific nature of these skills. These findings have implications for supporting mathematical learning in second-language students.