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Developing an Integrated Learning Environment to Foster "Function Sense" by Using Technology in an e-Learning System

发展综合学习环境，利用电子学习系统科技培养「功能感」

基本信息

批准号：
16500564
负责人：
KAKIHANA Kyoko
金额：
$ 1.92万
依托单位：
Tsukuba Gakuin University (2005-2006)Tokyo Kasei Gakuin Tsukuba Junior College (2004)
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2004
资助国家：
日本
起止时间：
2004 至 2006
项目状态：
已结题

项目摘要

More than 20 years have passed since technologies were incorporated into mathematics education, and now everybody can use these technologies at any place and time. Many researchers have showed the effects of learning with technology. And yet this methodology is not widely used in schools. These days the pace of change is so fast and we are surrounded daily by all kinds of quantitative information, about which we have to make judgments depending on the situation. For students living in such a changing world, developing the ability to model real phenomena with quantitative information and to analyze various types of patterns and functional relationships. Technology is a very helpful tool to foster this kind of ability. We call the ability to use numerical data, graphs and expressions appropriately as a tool, "Function Sense". An e-textbook on a CD-R and web pages (http://www.tsukuba-g.ac.jp/t/kakihana/kansu/) was developed to foster "Function Sense". The materials developed in this study provide many opportunities to use technology for observing changing situations. Many interesting materials are included. Through these materials, students can explore the characteristics of many kinds of functions in daily life and solve problems. To do these activities, students need Microsoft Office Excel, Cabri Geometry II plus and Cabri 3D (developed by Cabrilog) with the plug-ins. Each of these softwares is accessible to all learners. Through spreadsheets, both students and teachers can change numeric data linked to the graph to explore the characteristics of functions and to solve a problem. In addition, by using DGS they can explore a function drawn by moving geometric figures on a computer screen. As a result, students can tackle each problem thoroughly and can observe the change of graph, numeric data and mathematical expression simultaneously and thus find the characteristics of functions.

自从技术被纳入数学教育以来，已经过去了20多年，现在每个人都可以在任何地点和时间使用这些技术。许多研究人员已经展示了技术学习的效果。然而，这种方法并没有在学校中广泛使用。如今，变化的步伐如此之快，我们每天都被各种量化信息所包围，我们必须根据情况做出判断。对于生活在这样一个不断变化的世界的学生，培养用定量信息模拟真实的现象的能力，并分析各种类型的模式和功能关系。技术是培养这种能力的一个非常有用的工具。我们把数字数据、图形和表达式恰当地用作一种工具的能力称为“功能感”。为培养“功能感”，开发了一个CD-R和网页电子教科书（http：//www.tsukuba-g.ac.jp/t/kakihana/kansu/）。在这项研究中开发的材料提供了许多机会，使用技术来观察不断变化的情况。包括许多有趣的材料。通过这些材料，学生可以探索日常生活中多种功能的特点，解决问题。要完成这些活动，学生需要Microsoft Office Excel，卡布里几何II plus和卡布里3D（由Cabrilog开发）的插件。所有学习者都可以使用这些软件。通过电子表格，学生和教师都可以改变连接到图形的数字数据，以探索函数的特性并解决问题。此外，通过使用DGS，他们可以探索通过在计算机屏幕上移动几何图形绘制的函数。使学生能对每一个问题进行深入的研究，并能同时观察图形、数值和数学表达式的变化，从而发现函数的特征。