学习了数学通报今年4月号有关数学教学改革的文章,受到草大的鼓舞和启发。正如文章中所指出的那样,現行中小学数学教材确实存在着貧乏、陈旧、孤立、割裂、繁瑣、重复和落后于社会主义建設实际的現象,三角教本也不例外。一、現行三角教本存在的具体問题 (一)教材的陈旧与貧乏 1.三角函数的概念。現行三角教本中,三角函数的自变数只作为角来看待的,没有指出也可以看成弧。更大的缺点是没有进一步介紹由近代物理、力学、技术发展所引起的三角函数作为自变数是数目的現代观点,直接影响对近代科学技术的学习。例如在簡諧振动的公式S=A sin at中,自变数t是量度时間的数 I learned Mathematical Bulletin this year’s article on mathematics teaching reform in April and was encouraged and inspired by the grass. As pointed out in the article, the current primary and secondary school mathematics teaching materials do exist phenomena of poverty, obsolescence, isolation, fragmentation, tediousness, repetition and backwardness to the reality of socialist construction. Triangle teaching is no exception. I. The specific problems existing in the current triangular teaching book (I) The old and poor teaching materials 1. The concept of trigonometric functions. In the current trigonometry, the self-variables of trigonometric functions are viewed only as angles, and they can also be viewed as arcs if not indicated. The bigger drawback is that there is no further introduction to the modern view that the trigonometric functions caused by the development of modern physics, mechanics, and technology as arguments are numbers, which directly affects the study of modern science and technology. For example, in the simple harmonic oscillation formula S=A sin at, the independent variable t is the number of measurement time