Introduction to Mathematical Thinking
Develop mathematical reasoning skills: Learn to think like a mathematician and approach problems creatively
Develop mathematical reasoning skills: Learn to think like a mathematician and approach problems creatively
This course teaches students how to think like mathematicians, focusing on developing problem-solving skills and creative reasoning rather than just following procedures. It covers topics such as logical language, mathematical proofs, number theory, and real analysis, emphasizing the thought processes behind mathematical concepts. The course aims to help students develop 'outside-the-box' thinking skills valuable in today's world, bridging the gap between school mathematics and professional mathematical thinking.
4.8
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English
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What you'll learn
Learn to think like a mathematician, developing problem-solving skills beyond traditional computation
Understand and use formal mathematical language and logic
Develop skills in constructing and analyzing mathematical proofs
Apply mathematical thinking to real-world problems and scenarios
Gain proficiency in number theory and the foundations of real analysis
Enhance critical thinking and abstract reasoning abilities
Skills you'll gain
This course includes:
38 Hours PreRecorded video
11 assignments
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FullTime access
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There are 9 modules in this course
This course, "Introduction to Mathematical Thinking," is designed to bridge the gap between computational mathematics taught in schools and the abstract, logical approach used in higher-level mathematics. The curriculum is divided into nine modules covering topics such as logical language, implication and equivalence, quantifiers, proofs, number theory, and real analysis. Throughout these modules, students learn to approach mathematical problems creatively, develop rigorous proof techniques, and understand the foundations of mathematical reasoning. The course emphasizes practical application through weekly problem sets and a final "Test Flight" where students evaluate real mathematical arguments.
Week 1
Module 1 · 3 Hours to complete
Week 2
Module 2 · 4 Hours to complete
Week 3
Module 3 · 4 Hours to complete
Week 4
Module 4 · 3 Hours to complete
Week 5
Module 5 · 3 Hours to complete
Week 6
Module 6 · 4 Hours to complete
Week 7
Module 7 · 4 Hours to complete
Week 8
Module 8 · 5 Hours to complete
Weeks 9 & 10: Test Flight
Module 9 · 5 Hours to complete
Fee Structure
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Instructor
Innovator in Mathematics Communication
Dr. Keith Devlin is the co-founder and Executive Director of Stanford University's H-STAR Institute and a co-founder of the Stanford Media X research network. As a recognized thought leader, he is a Fellow of the World Economic Forum, the American Mathematical Society, and the American Association for the Advancement of Science. His current research centers on leveraging various media to teach and communicate mathematics to diverse audiences, alongside designing information and reasoning systems for intelligence analysis. Dr. Devlin's interests extend to the theory of information, reasoning models, the application of mathematical techniques in communication studies, and mathematical cognition. He has authored 32 books and over 80 research articles, earning prestigious accolades such as the Pythagoras Prize, the Peano Prize, the Carl Sagan Award, and the Joint Policy Board for Mathematics Communications Award. In 2003, he was honored by the California State Assembly for his innovative contributions to the intersection of mathematics, logic, and linguistics. He is also known as "the Math Guy" on National Public Radio.
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4.8 course rating
2,781 ratings
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