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juliawolffenotes.home.blog | ||
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mnielsen.github.io
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| | | | | [AI summary] The text explores the challenges of understanding abstract mathematical concepts and the role of representation in problem-solving. It emphasizes the importance of converting unfamiliar ideas into terms of known concepts, using examples like high-dimensional spaces and the irrationality of √2. The author argues that 'genius' is often the result of systematic practice with multiple representations rather than innate talent. The text concludes by suggesting the need for systems that support this process of representation mastery, such as interactive environments or tools that aid in cognitive elaboration. | |
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jiggerwit.wordpress.com
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| | | | | What follows are the opening paragraphs of a pdf document giving an argument for controlled natural languages in mathematics. At the recent Big Proof 2 conference in Edinburgh, I realized that a case must be made for developing a controlled natural language for mathematics. There is little consensus on this issue, and mathematicians and computer... | |
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liorpachter.wordpress.com
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| | | | | I'm a (50%) professor of mathematics and (50%) professor of molecular & cell biology at UC Berkeley.There have been plenty of days when I have spent the working hours with biologists and... | |
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www.wiringthebrain.com
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| | | The reductionist perspective on biology is that it all boils down to physics eventually. That anything that is happenin... | ||