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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 352
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The Latest from Our R&D Pipeline: Version 13.2 of Wolfram Language & Mathematica

Stephen Wolfram

An instantaneous moment (or perhaps a single elementary time from our Physics Project )? Almost any algebraic computation ends up somehow involving polynomials. can be manipulated as an algebraic number, but with minimal polynomial: &#10005. Calculus & Its Generalizations. Is there still more to do in calculus?

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

Stephen Wolfram

One can view a symbolic expression such as f[g[x][y, h[z]], w] as a hierarchical or tree structure , in which at every level some particular “head” (like f ) is “applied to” one or more arguments. So how about logic, or, more specifically Boolean algebra ? We’ve looked at axioms for group theory and for Boolean algebra.

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

Stephen Wolfram

Line, Surface and Contour Integration “Find the integral of the function ” is a typical core thing one wants to do in calculus. But particularly in applications of calculus, it’s common to want to ask slightly more elaborate questions, like “What’s the integral of over the region ?”, or “What’s the integral of along the line ?”

Computer 118
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The Story Continues: Announcing Version 14 of Wolfram Language and Mathematica

Stephen Wolfram

In addition to whole courses, we have “miniseries” of lectures about specific topics: And we also have courses —and books—about the Wolfram Language itself, like my Elementary Introduction to the Wolfram Language , which came out in a third edition this year (and has an associated course, online version, etc.):

Computer 102
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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. In physics, those “topological phenomena” presumably correspond to things like elementary particles , with all their various elaborate symmetries.

Physics 65
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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. In physics, those “topological phenomena” presumably correspond to things like elementary particles , with all their various elaborate symmetries.

Science 64