Sử dụng biểu diễn toán học trong dạy học “Phương trình đường thẳng” (Toán 10) nhằm bồi dưỡng năng lực giao tiếp toán học cho học sinh

Tóm tắt

In the context of modern mathematics education, which emphasizes the development of learners’ competencies, mathematical communication is considered one of the core competencies to be cultivated. However, expressing, reasoning, and conveying mathematical ideas - especially in the geometry strand, which requires a tight integration between students’ algebraic thinking and geometric intuition-often presents significant challenges. In response to these difficulties, this study proposes a five-phase instructional process aimed at fostering students’ mathematical communication competency through the optimal utilization of mathematical representations. This process is specifically illustrated via a simulated real-world context, “Urban Bus Routes”, in teaching the topic “Equations of a Line” (Grade 10 Mathematics), which requires students to perform tasks involving the formulation and manipulation of both parametric equations and general equations. Although the current scope of this research is limited to theoretical investigation and model proposal, empirical pedagogical evaluation will be the focus of the next phase. Nevertheless, the article remains a valuable reference, providing practical ideas to help teachers diversify their instructional methods.