Bồi dưỡng tư duy đại số trong dạy học bài toán thực tiễn chủ đề “Hàm số y=ax^2 (a≠0) và phương trình bậc hai một ẩn” (Toán 9)

Tóm tắt

Algebraic thinking is constituted from generalizations or the representation of generalizations, as well as activities guided by symbols within the standardized symbol systems. This type of thinking involves studying structures and systems abstracted from calculations and relationships, exploring functions, relations, and related variations, as well as utilizing a set of modeling languages (both within and beyond mathematics). The goal of this paper is to discuss algebraic thinking in teaching practical problems on the topic of the function y=ax^2 (a≠0) and quadratic equations with one variable, aiming to improve learning outcomes in these topics. The study employs theoretical research methods to fulfil the objectives. The new contribution of the article is the identification of algebraic thinking components, a proposed teaching process and methods for organizing instruction to promote algebraic thinking when teaching practical problems related to the function y=ax^2 (a≠0) and quadratic equations with one variable. This paper serves as a valuable reference for educational researchers as well as teachers seeking to foster teaching effectiveness.