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The Role of Mathematics in Education

Ask a Tech Teacher

Or perhaps, amidst a particularly challenging calculus problem, you’ve questioned how this abstract world of numbers and symbols could possibly influence your future career? College and Mathematics: Challenges The Complexity Cliff Remember the first time you looked at a calculus problem in college? Well, you’re not alone.

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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. I see the LSA effort and our Teaspoon languages connected to the original goals for computer science. In 1961, the MIT Sloan School held a symposium on “Computers and the World of the Future.”

educators

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They Started Teaching During the Pandemic Year. Where Are They Now?

ED Surge

years of my career at Weehawken High School, where I taught Algebra I (students in grades seven to nine) and AP Calculus (grades 11-12). The balancing act is definitely a challenge, but I’m working extremely hard to achieve my personal and professional goals while continuing to enjoy the profession. I spent the first 3.5

Teaching 215
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Charting a Course for “Complexity”: Metamodeling, Ruliology and More

Stephen Wolfram

But it really wasn’t physics, or computer science, or math, or biology, or economics, or any known field. The idea not of solving equations, but instead of setting up computational rules that could be explicitly run to represent and reproduce things in the world. What is that science? But at least it would have a home.

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The Concept of the Ruliad

Stephen Wolfram

Because it implies that whatever “computational parametrization” or “computational description language” one uses for the ruliad, one will almost always get something that can be viewed as “computationally equivalent”. But what about other models of computation—like cellular automata or register machines or lambda calculus?

Physics 121
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What Is ChatGPT Doing … and Why Does It Work?

Stephen Wolfram

It’s not obvious that it would be feasible to find the path of the steepest descent on the “weight landscape” But calculus comes to the rescue. As we mentioned above, one can always think of a neural net as computing a mathematical function—that depends on its inputs, and its weights.

Computer 145
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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. But there is something else too—and it’s from this that the full computational paradigm emerges. And the same issue arose for Alonzo Church’s lambda calculus (introduced around 1930).

Physics 64