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数学教育家弗赖登塔尔强调“数学教育过程是‘数学化’和‘形式化’的过程”[1]。“数学化是人们在观察、认识和改造客观世界的过程中,运用数学的思想和方法来分析和研究客观世界的种种现象并加以整理和组织的过程。”[2]义务教育数学课程标准在数学思考目标中明确强调“学生在数学学习过程中”经历观察、实验、猜想、证明等数学活动过程,发展合情推理和演绎推理能力,能有条不稳地、清晰地阐述自己的观点。“[3]这充分说明弗赖登塔尔的数学教育思想与新课程标准
Mathematical educator Freidenthal emphasized that ”the process of mathematics education is a process of ’mathematization’ and ’formalization’“[1]. “Mathematicalization is a process in which people use the ideas and methods of mathematics to analyze and study the phenomena of the objective world and organize and organize them in the process of observing, understanding, and transforming the objective world.”[2] Compulsory Education Mathematics Course In the goal of mathematical thinking, the standard explicitly emphasizes that “students in the process of mathematics learning experience the process of observation, experimentation, conjecture, proof, and other mathematical activities, and develop appropriate reasoning and deductive reasoning skills, and can explain in an unreliable and clear manner. Your own point of view. ”[3] This fully illustrates Freidenthal’s mathematical education ideas and new curriculum standards