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Students Are Busy but Rarely Thinking, Researcher Argues. Do His Teaching Strategies Work Better?

ED Surge

That’s the argument of Peter Liljedahl, a professor of mathematics education at Simon Fraser University in Vancouver, who has spent years researching what works in teaching. These are the students who end up hitting a wall when math courses move from easier algebra to more advanced concepts in, say, calculus, he argues. “At

Research 361
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The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics

Stephen Wolfram

When most working mathematicians do mathematics it seems to be typical for them to reason as if the constructs they’re dealing with (whether they be numbers or sets or whatever) are “real things”. And we can think of that ultimate machine code as operating on things that are in effect just abstract constructs—very much like in mathematics.

educators

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LLM Tech and a Lot More: Version 13.3 of Wolfram Language and Mathematica

Stephen Wolfram

We introduced Duration to apply to explicit time constructs, things like Audio objects, etc. And, yes, when you try to run the function, it’ll notice it doesn’t have correct arguments and options specified. that isn’t directly related to typing, but will help in the construction of easy-to-navigate user interfaces.

Computer 119
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Expression Evaluation and Fundamental Physics

Stephen Wolfram

And if we treat these as equivalent and merge them we now get: (The question of “state equivalence” is a subtle one, that ultimately depends on the operation of the observer, and how the observer constructs their perception of what’s going on. It’s a new kind of fundamentally multiway construct.

Physics 101
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How can first-year STEM university students be better supported?

Futurum

Library and research skills cover areas such as knowing how to reference and cite authors properly, being able to discern between reliable and unreliable sources of information, accessing scientific literature and giving accurate evidence-based arguments when writing scientific essays and reports. What do students learn from studying this?

Biology 81
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Nestedly Recursive Functions

Stephen Wolfram

Just like in our original f [0] = 1 case, we can construct “blue graph trees” rooted at each of the initial conditions. Some involve alternate functional forms; others involve introducing additional functions, or allowing multiple arguments to our function f. So what about the behavior of f [ n ] for large n ?

Computer 108
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The Concept of the Ruliad

Stephen Wolfram

It’s yet another surprising construct that’s arisen from our Physics Project. In some ways it’s a bit like our efforts to construct the ruliad. In constructing it, one can imagine using Turing machines or hypergraph rewriting systems or indeed any other kind of computational system. As an analogy, consider the real numbers.

Physics 117