数学专业英语之课件一.ppt

课程目标 数学思维简介 课程大纲 About the course The goal of the course is to help you develop a valuable mental ability – a powerful way of thinking that our ancestors have developed over three thousand years. 课程目标：帮助我们形成一种有益的心智能力——我们祖先三千年前形成的一种强大的思考方式. Introduction to mathematical thingking Mathematical thinking is not the same as doing mathematics – at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. 数学思维不等同于做数学运算-至少不像数学那样是我们教育系统的主流课程.校园数学主要集中在学习函数去去解决非常刻板问题.专业数学家考虑一些特定的方法来解决实际问题，这些问题来源于日常生活世界或者科学，或者来源于数学本身. Introduction to mathematical thingking The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box – a valuable ability in today’s world. This course helps to develop that crucial way of thinking. 校园数学成功的关键是了解数学内部世界.相比而言，数学思维的主要特征是考虑数学外部世界--种必要的技能在当今世界.这门课帮助我们形成思维方式的关键.  Introduction to mathematical thingking The primary audience is first-year students at college or university who are thinking of majoring in mathematics or a mathematically-dependent subject, or high school seniors who have such a college career in mind. 主要的学生是在大学校园的大一学生，他们主修的是数学或与数学相关的课题，或高中毕业班的学生有考考大学的决心. About the student They will need mathematical thinking to succeed in their major. Because mathematical thinking is a valuable life skill, however, anyone over the age of 17 could benefit from taking the course. 他们这类人需要数学思维去使他们的主修成功.因为数学思维是一门有益的生活技能，并且，任何超过17岁的人都能从中获益. Course syllabus Instructor’s welcome and introduction 1. Introductory material 目录 2. Analysis of language – the logical combinators