"Mathematics Experiences through Image Processing"

数字图像处理为初中和高中阶段的各种数学概念的教学提供了几种可能的新方法。有理由相信，这种方法将会成功地接触到一些其他方法所遗漏的“高危”学生。由于数字图像几乎可以反映现实世界的任何方面，一些学生可能更容易对它们感兴趣，而不是使用其他面向图形的方法产生的人造图形或图像。使用基于计算机的工具，如图像处理操作符、曲线拟合操作符、形状分析操作符和图形合成，学生可以从他们自己的物理和文化环境中心理上的“安全”领域开始探索数学概念的世界。有理由希望这种方法在不同背景的学生、女孩和少数群体成员中特别成功，因为实验中使用的图像可以很容易地根据个人品味进行定制。该项目的工作包括创建学习模块的详细设计，在微型计算机上实施，并以各种方式评估其有效性，使用雷尼尔海滩高中的学生进行试验。雷尼尔海滩高中是一所城市公立高中，拥有种族多元化的学生群体和一个麦金塔计算机实验室。

Digital image processing offers several possible new approaches to the teaching of a variety of mathematical concepts at the middle-school and high-school levels. There is reason to believe that this approach will be successful in reaching some "at-risk" students that other approaches miss. Since digital images can be made to reflect almost any aspect of the real world, some students may have an easier time taking an interest in them than they might with artificial figures or images resulting from other graphics- oriented approaches. Using computer-based tools such as image processing operators, curve-fitting operators, shape analysis operators, and graphical synthesis, students may explore a world of mathematical concepts starting from the psychologically "safe" territory of their own physical and cultural environments. There is reason to hope that this approach will be particularly successful with students from diverse backgrounds, girls and members of minority groups, because the imagery used in experiments can easily be tailored to individual tastes. The work of the project consists of creating detailed designs of the learning modules, implementing them on microcomputers, and evaluating their effectiveness in a variety of ways, using trials with students at Rainier Beach High School, which is an urban public high school having an ethnically diverse student body and a Macintosh computer laboratory.