ALGEBRA BY DESIGN

9453876 “设计的代数”是一个为期三年的项目，研究人员和教师将为中学生创造设计活动，介绍他们的功能和代数思维。 研究人员将研究从事开放式设计挑战的学生，这些挑战要求他们利用自己的创造力来构建结构，设计设备并创建机械工程，物理，艺术几何和环境科学领域的虚拟显示器。 这些设计挑战将向中学生提出一个问题，一个目的，限制，材料和评价手段。 交互式技术工具，如功能探针，形状移位器，Macmotion，交互式物理和几何画板将可供学生分析他们的项目。 同行和专家组成的审查小组将对项目提供反馈意见。 入选的项目将以其成功的吸引力来帮助学生学习有效地在代数中工作。 小组之间的互动的学生和教师群体将首先研究研究人员找到方法，从设计活动的桥梁代数思维和回来。 一组选定的项目，然后将用于一个为期一年的教学实验中结合技术和代数类与异构分组。 将对实施改革、必要的教师发展和提高学生成绩的有效政策进行研究。

9453876 "Algebra by Design" is a three year project in which researchers and teachers will create design activities for middle school students introducing them to functions and algebraic thinking. Researchers will study students engaged in open-ended design challenges requiring them to use their creativity to build structures, design devices and create vidual displays form the fields of mechanical engineering,physics, art geometry and environmental sciences. these design challenges will present middle school students with a problem, a purpose, constraints, materials and means of evaluation. Interactive technological tools such as function Probe, Shape Shifter, Macmotion, Interactive Physics and Geometer's Sketchpad will be available for students to analyze their projects. Review panels of peers and experts will provide feedback on the projects. projects will be selected for their appeal to success in assisting students in learning to work effectively in algebra. Small group interactions among groups of students and teachers will be studied first as researchers find ways to bridge from design activities to algebraic thinking and back. A set of selected projects will then be used in a year long teaching experiment in a combined technology and algebra class with heterogeneous grouping. Research will be conducted on effective policies for implementing reform, necessary teacher development and improving student outcomes.