多角度探求真实问题螺旋式组织趣味知识──来自美国教材的启示

Arousing mult－point probe to real problems, organize mathematical knowledge spirally: apocalypse from a mathematical textbook of America

本文通过对美国一套数学教材ｃｏｎｎｅｃｔｅｄ ｍａｔｈｅｍａｔｉｃｓ──ｍｏｖｉｎｇ ｓｔｕａｉｇｈｔ ａｈｅａｄ（简称ＣＭ教材）内容的介绍，旨在对我国目前的教改提供一点思路．文章从以下三个角度展开论述；第一，ＣＭ教材所涉及的问题都是从生活实践中提炼出来的真实问题；第二，ＣＭ教材采取图、表、方程多角度透视的内容呈现方式，给学生提供理解数学概念的多种情景；第三，ＣＭ教材充分考虑儿童的认知发展规律，以螺旋式结构重复呈现内容，通过各种活动让儿童从直接经验中获取知识。

This paper expects to provide some ideas about the present education reformin China, though the introduction about a set of American teaching material in Americannamed CONNECTED MATHERM ATICS - moving straight a head (CM for short).it's illustrared from three angles firstly, all the problems involved in the CM material areabstracted from reality. Secondly, the ways of demonsustion by charts. graphs andepuations provide a lot of situations for the students' understanding about the methematicalconcepts. Thirdly, mathematical knowledge was organized spinally in the CM material, sothe students learn mathematics from their direct experiences