Introduction to Mathematical Thinking
About Course
A Course by Stanford University
Introduction to Mathematical Thinking, Learn how to think the way mathematicians do – a powerful cognitive process developed over thousands of years. 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. 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.
Course Content
Introduction to Mathematical Thinking
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A Message from the Professor
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003 001_lecture-0-welcome.en.srt
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009 002_lecture-1-introductory-material.mp4
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014 003_lecture-2-logical-combinators.mp4
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017 001_tutorial-for-assignment-1.mp4
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020 002_tutorial-for-assignment-2.mp4
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021 003_problem-set-1_exam.html
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024 004_tutorial-for-problem-set-1.mp4
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028 001_lecture-3-implication.mp4
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034 002_lecture-4-equivalence.mp4
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037 003_supplement-using-the-course-evaluation-rubric.mp4
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040 001_tutorial-for-assignment-3.mp4
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043 002_tutorial-for-assignment-4.mp4
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046 003_tutorial-for-problem-set-2.mp4
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052 001_lecture-5-quantifiers.mp4
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058 002_tutorial-for-assignment-5.mp4
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061 003_tutorial-for-problem-set-3.mp4
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064 001_lecture-6a-working-with-quantifiers-1.mp4
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070 002_lecture-6b-working-with-quantifiers-2.mp4
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073 001_tutorial-for-assignment-6.mp4
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076 002_tutorial-for-problem-set-4.mp4
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079 001_lecture-7a-proofs-1.mp4
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085 002_lecture-7b-proofs-2.mp4
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088 001_tutorial-for-assignment-7.mp4
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091 002_tutorial-for-problem-set-5.mp4
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094 001_lecture-8a-proofs-with-quantifiers-1.mp4
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100 002_lecture-8b-proofs-with-quantifiers-2.mp4
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103 001_tutorial-for-assignment-8.mp4
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106 002_tutorial-for-problem-set-6.mp4
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109 001_lecture-9a-number-theory-1.mp4
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115 002_lecture-9b-number-theory-2.mp4
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118 001_tutorial-for-assignment-9.mp4
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119 002_problem-set-7_exam.html
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122 003_tutorial-for-problem-set-7.mp4
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127 001_lecture-10a-real-analysis-1.mp4
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130 002_lecture-10b-real-analysis-2.mp4
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136 003_lecture-10c-real-analysis-3.mp4
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139 001_tutorial-for-assignment-10.mp4
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142 002_tutorial-for-problem-set-8.mp4
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147 001_test-flight-introduction.mp4
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149 002_test-flight-peer-assessments_peer_assignment_instructions.html
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152 001_test-flight-tutorial-1.mp4
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155 002_test-flight-tutorial-2.mp4
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158 003_test-flight-tutorial-3.mp4
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164 001__maththink-readings-Sound_Barrier.mp4
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links.txt
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