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《中小学数学》小学版2009年第(1-2)期,郑惠强老师《摒弃“描红数学”建构有效课堂》一文中,有一案例为:“甲壳虫从A点爬到B点,怎样爬最短?”(如图1)郑老师认为,学生(包括成人)容易认为,甲壳虫由A点垂直上去,再沿直线爬到B点,就是最短的路线,这样的“直觉思维”是错误的。而应从一边上绕上去会更近一些,并请学生动手操作展开侧面,连接AB,就是最短的路线。笔者认为,郑老师的看法有不妥之处。
“Primary and secondary mathematics” elementary school 2009 (1-2), Zheng Huijiang teacher “abandon ” description of math “building an effective classroom ” in a paper, there is a case: “Beatles climbed from point A to point B, how (Figure 1) Zheng believes that students (including adults) easily believe that the Beatles from the vertical point A up, and then climbed straight to point B, is the shortest route, so ”intuitive thinking it is wrong. It should be closer from the side up, and ask students to start the operation to expand the side, connecting AB, is the shortest route. The author believes that Zheng’s view there is something wrong.