This article reveals the fact that considerable study time invested into acquisition of proficiency in infinitesimal calculus leaves behind only the ability to tackle problems of order four or less. Today's problems reaching into orders of thousands are being handled by clever computer‐based algorithms seldom addressed in high school or college. Yet, the calculus teaching will persist as long as physics and some other natural science teachers start their lectures with a differential equation. An alternative method, preparing high school students for serious problem‐solving abilities, is presented with examples. References provided, many published by this author, do apply the method to a broad range of natural sciences.

中文翻译：

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无穷小微积分：数学中的一个错误？

这篇文章揭示了一个事实，即为获得无穷小微积分的熟练程度而投入了大量的学习时间，却只留下了解决四阶或四阶以下问题的能力。如今，成千上万的问题正在由基于计算机的巧妙算法处理，很少在高中或大学解决。然而，只要物理学和其他一些自然科学教师从微分方程开始讲课，微积分教学就会持续下去。提供了另一种方法，为高中生培养严肃的问题解决能力，提供了示例。提供的参考文献（作者发表的许多文献）确实将该方法应用于广泛的自然科学。