首页> 外文会议>9th international conference on interaction design and children 2010 >Quadratic: Manipulating Algebraic Expressions on an nteractive Tabletop
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Quadratic: Manipulating Algebraic Expressions on an nteractive Tabletop

机译:二次:在交互式桌面上操纵代数表达式

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This paper introduces Quadratic—a virtual manipulative for two people to explore algebraic expressions on an interactive tabletop. Users assemble rectangles out of fundamental components: 1, x, and x2. As the area of a rectangle is both the product of its sides and the sum of its components, users can explore how the product of two linear expressions (the rectangle's sides) equals a quadratic equation (the rectangle's area). This virtual manipulative adds several important features to the previously existing physical manipulative: 1) negative pieces; 2) multiple palettes; 3) multiple linked representations between the visual elements, the equivalent algebraic expression, and the graph of that expression; 4) the ability to provide feedback on posed challenges.
机译:本文介绍了Quadratic,这是一个虚拟的操作程序,供两个人在交互式桌面上探索代数表达式。用户根据以下基本组件组装矩形:1,x和x2。由于矩形的面积既是矩形边的乘积又是其分量之和,因此用户可以探索两个线性表达式(矩形的边)的乘积如何等于二次方程(矩形的面积)。这种虚拟操作为先前存在的物理操作增加了几个重要功能:1)负面作品; 2)多个调色板; 3)视觉元素,等效代数表达和该表达图之间的多重链接表示; 4)提供对提出的挑战的反馈的能力。

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