R & D: Nurturing Multiplicative Reasoning in Students with Learning Disabilities in a Computerized Conceptual-Modeling Environmenty (NMRSD-CCME)

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• 批准号: 0822296
• 负责人: Yan Ping Xin
• 金额: $ 296.99万
• 依托单位: Purdue University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-08-01 至 2015-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0822296&HistoricalAwards=false
• 关键词: & Nurturing; Multiplicative; Reasoning; Students

Nurturing Multiplicative Reasoning in Students with Learning Disabilities in a Computerized Conceptual-Modeling Environment (NMRSD-CCME) is a five-year research and development project that will augment teaching practice by providing the tools to analyze student conceptions and enact best-practice on an individual, student-needs basis. The purpose of this project is to: (a) create a research-based model of how students with learning disabilities (SLDs) develop multiplicative reasoning via reform-oriented pedagogy, (b) convert the model into a computer system that dynamically models every student's evolving conceptions and recommends tasks to promote her/his advancement to higher level, standard-based multiplicative structures and operations, and (c) study how this computerized teaching tool impacts student outcomes, including diminishing the gap between SLDs and their normal achieving peers (NAPs). The PIs draw upon universal design and three research-based frameworks: machine (or statistical) learning from computer sciences, generalization of word-problem underlying structures (story-grammar) from special education, and a constructivist view of learning from mathematics education. The latter consists of recognizing teaching can promote transformation of students' available mathematical conceptions into intended ones via tasks that orient student reflection on activity-effect relationship and content-specific constructs informed by established research. The development is done in three stages. The first is a teaching experiment to determine learning trajectories for multiplicative reasoning with SLDs. The second is the development of a computerized modeling system to support students' construction of multiplicative reasoning (includes alpha, beta and pilot testing). The final stage is the evaluation of the system by comparing the learning process and outcomes of 15 SLD students with 15 non-SLD to judge the effect of the system on closing the achievement gap. In addition, the effect of the system on SLDs' performance will be compared to the effect of traditional teacher-delivered instruction on SLD. The products include software that is flexible and adaptive to the learner and protocols for teachers. The project also tests the viability of dynamic recommendation algorithms, which is likely to be important in other domains beyond multiplicative reasoning and with other students who have difficulties learning mathematics concepts.

在计算机概念建模环境中培养有学习障碍的学生的乘法推理（NMRSD-CCME）是一个为期五年的研究和开发项目，该项目将通过提供分析学生概念并根据学生个人需求制定最佳实践的工具来增强教学实践。 该项目的目的是：（a）创建一个基于研究的模型，说明有学习障碍的学生（SLD）如何通过改革导向的教学法发展乘法推理，（b）将该模型转换为计算机系统，动态模拟每个学生不断发展的概念，并推荐任务，以促进她/他进步到更高水平，基于标准的乘法结构和运算，以及（c）研究这种计算机化教学工具如何影响学生的学习成果，包括减少 SLD 与其正常成就同行 (NAP) 之间的差距。 PI 借鉴了通用设计和三个基于研究的框架：来自计算机科学的机器（或统计）学习、来自特殊教育的单词问题基础结构（故事语法）的泛化，以及来自数学教育的建构主义学习观。后者包括认识到教学可以通过引导学生反思活动效果关系和基于既定研究的特定内容结构的任务，促进学生现有的数学概念转化为预期的数学概念。开发分三个阶段进行。 第一个是教学实验，以确定 SLD 乘法推理的学习轨迹。 第二个是开发计算机建模系统，以支持学生构建乘法推理（包括 alpha、beta 和试点测试）。 最后阶段是系统评估，通过比较 15 名 SLD 学生和 15 名非 SLD 学生的学习过程和结果，判断该系统对缩小成绩差距的效果。此外，系统对 SLD 表现的影响将与传统教师授课对 SLD 的影响进行比较。这些产品包括灵活且适合学习者的软件和教师协议。 该项目还测试了动态推荐算法的可行性，这对于乘法推理之外的其他领域以及其他学习数学概念有困难的学生来说可能很重要。