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所在平台: Udemy |
课程主页: https://www.udemy.com/course/learning-mathematical-thinking/
课程评论：没有评论
**课程名称：** 学习数学思维 (Learning Mathematical Thinking) **课程概述：** 本课程旨在激发创造力，培养数学思维能力。课程将通过精心设计的思维实验，以清晰、精准、生动且富有启发性的方式，展示解决需要非传统思维和创新能力数学奥林匹克问题的方案。课程将深入讲解数论基本定理、鸽巢原理（或狄利克雷原理）、数学归纳法、不变性、等价关系、组合原理等核心概念和原则，并将它们融入非传统思维的视角下。这些概念不会被动接受为事实，而是作为数学直觉不可或缺的一部分被吸收。 **目标受众：** 本课程面向全球学习者，包括： * 中学生和高中生 * 数学教师 * STEM（科学、技术、工程和数学）领域的本科生和研究生 * 希望提升数学思维和解决问题能力的STEM专业人士 **课程价值：** * **对学生：** 帮助中高中学生和大学生提升在各类数学竞赛中的竞争力，例如美国数学竞赛（AMC）、MATHCOUNTS、美国数学邀请赛（AIME）、美国数学奥林匹克（USAMO）、全球国家和地区数学奥林匹克、国际数学奥林匹克（IMO）以及普特南竞赛（Putnam Competition）。 * **对专业人士：** 帮助专业人士通过拓展和深化数学及逻辑思维能力，提升解决问题的能力。 **教学方式：** 课程将重点展示解决数学奥林匹克问题的过程，强调其中所需的非传统思维和创新。学习者将在实际问题解决中内化重要的数学概念。
This course aims to stimulate a creative spark and help develop skills formathematical thinking. Solutions to selected math Olympiad problems that requireunconventional thinking and inventiveness will be demonstrated utilizing complex thoughtexperiments with clarity and precision in a relatable and inspirational manner. Major conceptsand principles such as the Fundamental Theorem of Arithmetic, Pigeonhole (or Dirichlet)Principle, Mathematical Induction, Invariance, Equivalence Relation, Combinatorial Principleswill be explained in the context of unconventional thinking. Instead of utilized facts, they will beabsorbed to become an inseparable part of mathematical intuition. The course is open for middleand high school students, mathematics teachers, undergraduate and graduate students in STEM(Science, Technology, Engineering & Mathematics) disciplines, and STEM professionals fromaround the world who want to hone their mathematical thinking and problem-solving ability. Thecourse will primarily help middle & high school and college students to sharpen their skills forcompetitive math competitions like American Mathematical Contest (AMC), MATHCOUNTS,American Invitational Math Examination (AIME), USA Math Olympiad (USAMO), nationaland regional math Olympiads worldwide, International Math Olympiad (IMO) or Putnam Competition. In abroader context, the course will help professionals to enhance problem-solving skills byexpanding and sharpening mathematical and logical thinking abilities.
