Synthesizing Rational Number Reasoning for Urban Schools

代数的成功准备和通过仍然是追求科学，数学和技术相关职业的主要途径。 在城市环境中的学生在有理数推理（RNR），包括乘法和除法，分数，比例推理，缩放，相似性，以及小数和小数的相关概念。 这种主题结构也被称为乘法概念场（Vergnaud，1983）。 该项目将综合这一领域的研究文献，以加强城市从业者如何为学生做好准备的知识，这一关键过滤器（塞尔斯，1973年）。 它将采取创新办法，建立一个由三个相互关联的要素组成的新的资源基础：a）具有编码和可搜索的特征和摘要的研究的书目数据库，其被组织成作者、作品和主题的可视网络，B）RNR主题、推理技能的类型和等级带的数据立方体，其将这些研究中使用的评估项目的丰富阵列映射到国家标准，以及c）以视觉和叙述的形式将作品综合成一个概念走廊。 该项目将把这些数据库相互连接起来，使教师能够尽可能遵循有效的概念顺序，同时为学生提供相关的评估项目，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.