Discrete Mathematics Instruction in a Cooperative Problem- Solving Mode

科罗拉多州立大学寻求资助一个为期三年的项目：合作解决问题模式下的离散数学教学。开发该项目的想法是建议离散数学成为中学课程的一部分，如全国数学教师委员会的《学校数学课程和评价标准》所述。PI建议通过该项目开发和实施中学数学职前教师所需的离散数学课程序列。课程将采用合作学习/解决问题的模式，由接受过特殊指导的数学教师和两名具有丰富教学经验的前高中教师组成。该项目还将强调数学写作和模拟其他教学形式。职前学生将在必修的实验室中学习这些模式下的数学教与学；他们将在由同一教师团队教授的大一离散数学课程中担任助教；他们还将合作开发用于小学课程的教学模块，这些模块也可以在稍加修改后用于高中课程。因此，职前教师将获得离散数学、合作学习、复杂问题解决策略和数学学科写作方面的知识和经验，同时作为教师和学习者。在职教师将被邀请参加课程，并为他们自己的班级制作项目。教师培训部分也将向地区教师开放。这个项目可以很容易地复制和传播，并有可能成为内容和教学的典范，不仅是为了培养教师，但是对于大学水平的所有学生的数学教学使用不同的教学形式。科罗拉多州立大学将为该项目提供总费用的40%。

Colorado State University seeks funding for a three-year project: Discrete Mathematics Instruction in a Cooperative Problem Solving Mode. The idea for the development of the project is the recommendation that Discrete Mathematics become a part of the secondary school curriculum, as outlined in the Curriculum and Evaluation Standards for School Mathematics for the National Council of Teachers of Mathematics. The PI proposes through this project to develop and implement a course sequence in discrete mathematics required of secondary mathematics preservice teachers. The course will be team-taught in a cooperative learning/problem solving mode by mathematics faculty members who will have received special instruction, and two graduate students who have extensive teaching experience as former high school teachers. The project will also emphasize writing in mathematics and model alternative instructional formats. The preservice students will take the course with a required lab in which: they will be studying about the teaching and learning of mathematics in these modes; they will be assistants in the teaching of a freshman course in discrete mathematics taught by the same faculty team; and cooperatively they will develop instructional modules to be use in the elementary course which can also be used in high school classes with minor modifications. Thus, the preservice teachers will gain knowledge and experience in discrete mathematics, in cooperative learning, in complex problem solving strategies, and in writing in the mathematics discipline both as teachers and learners. Inservice teachers will be invited to take the courses and to produce projects for their own classes. The training components for faculty will also be open to area teachers. The project is one which can be easily replicated and disseminated and has the potential to become a model for content and instruction not only for the preparation of teachers, but for the teaching of mathematics for all students at the collegiate level using alternative formats of instruction. Colorado State University is supporting the project by providing 40% of the total cost.