浅析数学文化引导下的概率论与数理统计教学

A Brief Analysis on the Probability and Mathematical Statistics Teaching Guided by Mathematics Culture

数学文化是人类物质文明产物,也是精神文明产物,它来源于数学的形成过程,又影响数学的发展;它是数学的灵魂,将原本生硬的数学教学过程变得明晰、简洁、充满人文气息.本文通过对文化、数学文化及概率论与数理统计教学的诠释,从人类物质文明产物和精神文明产物两个方面系统阐述数学文化的特点;通过对工科概率论与数理统计教学特点的审视,阐述数学文化在概率与数理统计教学中的必要性,讨论如何在工科专业学开展数学文化引导下的概率与数理统计教学及其发展趋势.

Mathematics Culture is a product of both Material civilization and Spiritual civilization. It comes from the process of mathematics forming and influences back the development of mathematics. It is the soul of mathematics, making the stiff mathematics teaching to be clear and full of humanistic spirit. Based on the discussion of culture, mathematics culture and the probability and mathematical statistics teaching, the characteristics of mathematics culture are elaborated by two aspects of material civilization and spiritual civilization. The necessity of mathematics culture in the probability and mathematical statistics teaching is analyzed. How to teach the probability and mathematical statistics course guided by mathematics culture and its further development are discussed.