Directly.me Introduction to Mathematical Thinking?Do you want to think the way mathematicians do? Do you want to improve your computing skills? Or are you searching for ways to rebuild your Math skills after college?
If your answer is yes then take this free online course “Introduction to Mathematical Thinking” and develop valuable mental ability. Mathematical thinking is not the same as solving highly stereotyped mathematical sums. It is a powerful cognitive process that our ancestors have developed after a hard work of over three thousand years. Professional mathematicians keep thinking different ways to solve problems that we face in our everyday life. The basic difference between simple mathematics and mathematical thinking is that the former is to learn to think inside the box, whereas the latter is all about thinking out of the box.
Who can take this course?
The primary audience is high school seniors or undergraduate college or university students who are thinking of pursuing advanced studies in mathematics or a mathematically-dependent subject. However, since mathematical thinking is a valuable life skill, anyone over the age of 17 can benefit from this free online course.
What will you learn from this course?
This free online course, prepared by Dr. Keith Devlin of Stanford University, will help you develop a crucial way of thinking out of the box, with a focus on problems that can arise from the everyday world.
Table of Contents
This free online course in Mathematics focuses on following topics:
- Introductory material
- Analysis of language – the logical combinators
- Analysis of language – implication
- Analysis of language – equivalence
- Analysis of language – quantifiers
- Working with quantifiers
- Proofs
- Proofs involving quantifiers
- Elements of number theory
- Beginning real analysis
Author Bio:
This free course has been prepared by Dr. Keith Devlin. He is a co-founder and Executive Director of Stanford University's H-STAR institute and a co-founder of the Stanford Media X research network. Dr. Devlin’s current research focuses on use of different media sources to teach mathematics through distant learning programs.
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Introduction to Mathematical Thinking Learn more

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Introduction to Mathematical Thinking
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?Do you want to think the way mathematicians do? Do you want to improve your computing skills? Or are you searching for ways to rebuild your Math skills after college?
If your answer is yes then take this free online course “Introduction to Mathematical Thinking” and develop valuable mental ability. Mathematical thinking is not the same as solving highly stereotyped mathematical sums. It is a powerful cognitive process that our ancestors have developed after a hard work of over three thousand years. Professional mathematicians keep thinking different ways to solve problems that we face in our everyday life. The basic difference between simple mathematics and mathematical thinking is that the former is to learn to think inside the box, whereas the latter is all about thinking out of the box.
Who can take this course?
The primary audience is high school seniors or undergraduate college or university students who are thinking of pursuing advanced studies in mathematics or a mathematically-dependent subject. However, since mathematical thinking is a valuable life skill, anyone over the age of 17 can benefit from this free online course.
What will you learn from this course?
This free online course, prepared by Dr. Keith Devlin of Stanford University, will help you develop a crucial way of thinking out of the box, with a focus on problems that can arise from the everyday world.
Table of Contents
This free online course in Mathematics focuses on following topics:
- Introductory material
- Analysis of language – the logical combinators
- Analysis of language – implication
- Analysis of language – equivalence
- Analysis of language – quantifiers
- Working with quantifiers
- Proofs
- Proofs involving quantifiers
- Elements of number theory
- Beginning real analysis
Author Bio:
This free course has been prepared by Dr. Keith Devlin. He is a co-founder and Executive Director of Stanford University's H-STAR institute and a co-founder of the Stanford Media X research network. Dr. Devlin’s current research focuses on use of different media sources to teach mathematics through distant learning programs.

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