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Don’t Give Up on Algebra: Let’s Shift the Focus to Instruction

National Science Foundation

Similarly, reformers have focused on the timing of the course, aiming to enroll students as early as possible to open pathways to calculus and to diversify access to higher level mathematics. Economics of Education Review, 58 , 141–161. Boaler & Leavitt, 2019). Let’s Not Be So Quick to Give Up on Algebra. Goodman, J. Gutiérrez, R.

Algebra 76
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How Did We Get Here? The Tangled History of the Second Law of Thermodynamics

Stephen Wolfram

There was one major exception, however, in 1738, when—as part of his eclectic mathematical career spanning probability theory, elasticity theory, biostatistics, economics and more— Daniel Bernoulli (1700–1782) published his book on hydrodynamics.

Energy 88
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Multicomputation: A Fourth Paradigm for Theoretical Science

Stephen Wolfram

Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. Economics. And this seems likely to be related to the origin of “value” in economics (or perhaps more so to the notion of a numéraire). And quite possibly there’s an analog of this in economic systems.

Science 65
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Even beyond Physics: Introducing Multicomputation as a Fourth General Paradigm for Theoretical Science

Stephen Wolfram

Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. Economics. And this seems likely to be related to the origin of “value” in economics (or perhaps more so to the notion of a numéraire). And quite possibly there’s an analog of this in economic systems.

Physics 64
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Computer Science was always supposed to be taught to everyone, and it wasn’t about getting a job: A historical perspective

Computing Education Research Blog

My argument is that computer science was originally invented to be taught to everyone, but not for economic advantage. Alan Perlis (first ACM Turing Award laureate) made a different argument in his chapter. He argued that you can’t think about integral calculus the same after you learn about computational iteration.

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The Concept of the Ruliad

Stephen Wolfram

The global structures of metamathematics , economics , linguistics and evolutionary biology seem likely to provide examples—and in each case we can expect that at the core is the ruliad, with its unique structure. But what about other models of computation—like cellular automata or register machines or lambda calculus?

Physics 122
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Remembering the Improbable Life of Ed Fredkin (1934–2023) and His World of Ideas and Stories

Stephen Wolfram

It didn’t help that his knowledge of physics was at best spotty (and, for example, I don’t think he ever really learned calculus). Richard Feynman and I would get into very fierce arguments. But suffice it say to that Ed’s old nemesis—calculus—comes in very handy. It’s just my nature.