Workshop Precalculus: Developing Pedagogically Powerful Instructional Materials for an Integrated Course in Functions, Data Analysis and Modeling

数学科学(21)在这个工作坊微积分项目中，主要研究人员正在与来自两年和四年制机构以及公立和私立高中的外部评估专家和教员同事密切合作，设计具有教学功能的强大教材，试图帮助学生对函数概念以及函数与数据分析、建模和问题解决之间的相互作用有一个坚实的理解。这些材料正在代表各种机构的模型采用者现场进行测试，从小组活动到互动讲座演示，使用了各种教学形式，无论是公共和私人的，还是小型的和大型的。正在启动一项全面的全国性传播计划，其中包括为学院和大学教师以及高中教师举办夏季研讨会和研讨会，并增加学年支持计划。研讨会基础微积分材料面向教育专业的学生(他们正在体验有效的教学模式，同时学习基本的数学概念和技能)，以及高中、社区学院、四年制学院和大学生(他们正在为进一步学习社会科学、自然科学和数学奠定坚实的数学基础)。这些材料的显著特点包括：(A)用学生观察、计算机或图形计算器工作取代正式讲座，和互动式讨论(即实施“研讨会”办法)；(B)服务不足的人群的积极性，特别是对学习数学感到焦虑或对传统教学模式没有反应的学生的积极性；(C)利用现实世界的问题--“跨学科的生动应用项目”--作为激发基本数学思想的必要工具；(D)在材料中整合数据分析和概率概念；(E)创新利用技术，如微型计算机和计算器实验室的工具和视频点数，以促进学生的学习；(F)密切关注数学和科学方面的教育研究结果和评估活动的结果。

Mathematical Sciences (21)In this Workshop Precalculus project, the principal investigators are working closely with an outside evaluation expert and faculty associates from two and four-year institutions and public and private high schools, to design pedagogical powerful instructional materials that seek to help students develop a firm understanding of the function concept and the interplay between functions and data analysis, modeling, and problem solving. The materials are being tested at model adopter sites representing a variety of institutions, both public and private and small and large, using a variety of teaching formats, from small group activities to interactive lecture demonstrations. A comprehensive national dissemination program is being launched, which includes conducting summer seminars and workshops for college and university faculty and for high school teachers, augmented by a school year support program.The Workshop Precalculus materials are intended for use by education majors (who are experiencing an effective pedagogical model, while learning fundamental mathematical concepts and skills) and by high school, community college, four-year college, and university students (who are developing a firm mathematical foundation for further study in the social sciences, natural sciences, and mathematics.)Distinctive features of the materials include:(a) replacement of formal lectures with student observations, computer or graphing calculator work, and interactive discussions (i.e., implementation of the "workshop" approach);(b) motivation of underserved populations, especially students who have an anxiety about studying mathematics or do not respond to traditional modes of instruction;(c) use of real world problems - "Interdisciplinary Lively Application Projects" (ILAPs) - as an essential vehicle for motivating underlying mathematical ideas;(d) integration of data analysis and probabilistic concepts throughout the materials;(e) innovative use of technology, such as the Microcomputer-Based and Calculator-Based Laboratory (MBL/CBL) tools and VideoPoint, to enhance student learning; and(f) close attention to the outcomes of educational research in mathematics and science and to the outcomes of assessment activities.