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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. Yet we have not seen equal advances in achievement (National Center for Education Statistics, 2019). Economics of Education Review, 58 , 141–161.

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

Stephen Wolfram

But, first and foremost, the story of the Second Law is the story of a great intellectual achievement of the mid-19th century. But in other ways it’s also a cautionary tale, of how the forces of “conventional wisdom” can blind people to unanswered questions and—over a surprisingly long time—inhibit the development of new ideas.

Energy 90
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Five Most Productive Years: What Happened and What’s Next

Stephen Wolfram

Meanwhile I started thinking about the relationship of methods from the Physics Project to distributed computing, and to economics. In the end—after all sorts of philosophical arguments, and an analysis of actual historical data —the answer was: “It’s Complicated”. And, yes, in a sense this was my “to do” list.

Physics 114
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Even beyond Physics: Introducing Multicomputation as a Fourth General Paradigm for Theoretical Science

Stephen Wolfram

Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models. Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. Economics.

Physics 66
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Multicomputation: A Fourth Paradigm for Theoretical Science

Stephen Wolfram

Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models. Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. Economics.

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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 124
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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.