Mathematical Sciences: Curriculum Development for Freshman Level Combinatorics

该项目将支持为密歇根大学一年级学生提供的一系列组合学课程的课程开发。这些课程将提供微积分之外的另一种选择，作为大学数学的第一门课程。它们被设计成具有挑战性的课程，强调实验和发现作为学习的工具。这项课程开发工作的目标包括：(1)在数学教育的早期发展数学学生的批判性和独立思维；(2)建立一种新的另类数学观点，指出其实验的一面；以及(3)由那些从本科水平开始学习数学的人产生对数学的兴奋。

This project will support curriculum development for a collection of combinatorics courses which will be offered to first-year students at the University of Michigan. These courses will offer an alternative to calculus as first courses in mathematics at the college level. They are designed to be challenging courses which stress experimentation and discovery as vehicles for learning. The goals of this curriculum development effort include: (1) the development of critical and independent thinking by students of mathematics early in their mathematical education; (2) the creation of a new alternate vision of mathematics which points out its experimental side; and (3) the generation of excitement about mathematics by those beginning its study at the undergraduate level.