Learning Mathematical Thinking

learning mathematical thinking, critical thinking, math problem solving skills

What you'll learn
Learning mathematical thinking
Preparing for the math competitions
Sharpening skills for the high level university math courses
Developing a critical thinking skills

Requirements
basic mathematics

Description
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.

This course aims to stimulate a creative spark and help develop skills for mathematical thinking. Solutions to selected math Olympiad problems that require unconventional thinking and inventiveness will be demonstrated utilizing complex thought experiments with clarity and precision in a relatable and inspirational manner. Major concepts and principles such as the Fundamental Theorem of Arithmetic, Pigeonhole (or Dirichlet) Principle, Mathematical Induction, Invariance, Equivalence Relation, Combinatorial Principles will be explained in the context of unconventional thinking. Instead of utilized facts, they will be absorbed to become an inseparable part of mathematical intuition. The course is open for middle and high school students, mathematics teachers, undergraduate and graduate students in STEM (Science, Technology, Engineering & Mathematics) disciplines, and STEM professionals from around the world who want to hone their mathematical thinking and problem-solving ability. The course will primarily help middle & high school and college students to sharpen their skills for competitive math competitions like American Mathematical Contest (AMC), MATHCOUNTS, American Invitational Math Examination (AIME), USA Math Olympiad (USAMO), national and regional math Olympiads worldwide, International Math Olympiad (IMO) or Putnam. In a broader context, the course will help professionals to enhance problem-solving skills by expanding and sharpening mathematical and logical thinking abilities.