Bồi dưỡng năng lực giải quyết vấn đề toán học cho học sinh trong dạy học nội dung “Giá trị lớn nhất và giá trị nhỏ nhất của hàm số” (Toán 12)

Tóm tắt

According to the 2018 General Education Curriculum for Mathematics, the competency to solve mathematical problems is one of the five components of mathematical competence to develop for students. Based on Polya's mathematical problem solving process, the study proposes a mathematical problem solving process in teaching the content “The largest and smallest values of functions” (Math 12). The proposed process is illustrated through experimental teaching at Can Thanh High School, Can Gio District, Ho Chi Minh City. The results of the teaching experiment show that the manifestations of students’ mathematical problem solving competency are gradually enhanced through the steps of the proposed process. Students discover the concept and method of finding the largest and smallest values of functions, and know how to apply this knowledge to solve related practical problems. In this study, we use analytical methods to clarify some concepts related to mathematical problem solving competency, and qualitative analysis methods to evaluate the development of students' mathematical problem solving competency.