Một số biện pháp bồi dưỡng năng lực tư duy hàm cho học sinh trong dạy học “Hàm số bậc hai” (Toán 10)

Tóm tắt

Developing functional thinking is an important objective in competency-oriented mathematics education, particularly when Grade 10 students study the topic of quadratic functions. This study aimed to examine the effectiveness of five instructional strategies in developing students’ functional thinking, namely motivating learning through real-life contexts, establishing functional relationships, fostering methodological knowledge, analyzing errors, and applying knowledge to practical situations. The quantitative results showed that the experimental group achieved significantly higher post-test scores than the control group, with a medium effect size. Qualitative data from classroom observations and students’ written work indicated that students gradually shifted from trying numerical values or applying formulas in a fragmented manner to identifying dependent relationships, moving flexibly among different representations of functions, and interpreting results in relation to problem contexts. The findings confirm the feasibility and effectiveness of the proposed instructional strategies, while also providing empirical evidence and pedagogical implications for organizing competency-oriented mathematics teaching in upper secondary schools.