Synthesizing Rational Number Reasoning for Urban Schools

成功地准备和通过代数仍然是追求科学、数学和技术相关职业的主要途径。学生在城市设置有理数推理（RNR），包括乘法和除法，分数，比例推理，比例，相似性，以及十进制和百分比的相关思想。这种主题配置也被称为乘法概念场（Vergnaud, 1983）。本项目将综合这一领域的研究文献，以加强城市实践者对如何让学生为这一关键筛选做好准备的知识（Sells, 1973）。它将采取一种创新办法，建立一个由三个相互关联的要素组成的新资源库：a)具有编码和可搜索特征和摘要的研究书目数据库，组织成作者、作品和主题的可视化网络；b) RNR主题、推理技能类型和等级带的数据立方体，将这些研究中使用的丰富评估项目映射到国家标准；c)将工作综合成视觉和叙事格式的概念走廊。该项目将把这些数据库相互联系起来，使教师能够尽可能多地遵循有效的概念顺序，同时为学生生成相关的评估项目，并为他们自己的专业发展确定相关的阅读材料。

Successful preparation for and passage of algebra remains a major gateway to pursuit of science, mathematics and technology related careers. Students in urban settings in rational number reasoning (RNR), including multiplication and division, fractions, ratio reasoning, scaling, similarity, and the related ideas of decimal and percents. This configuration of topics is also known as the Multiplicative Conceptual Field (Vergnaud, 1983). This project will synthesize the research literature in this area to strengthen urban practitioners' knowledge of how to prepare students for this critical filter (Sells, 1973). It will implement an innovative approach to construct a new resource base composed of three interrelated elements: a) a bibliographic database of studies with coded and searchable characteristics and abstracts, organized into a visual web of authors, works, and topics, b) a data cube of RNR topics, types of reasoning skills, and grade bands that maps the rich array of assessment items used in these studies to national standards, and c) a synthesis of the work into a conceptual corridor in both visual and narrative formats. The project will interlink these databases to permit teachers to follow an effective conceptual sequence as much as can be identified, while generating relevant assessment items for their students, and identifying related readings for their own professional development.