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

National Science Foundation

In its current form, school algebra serves as a gatekeeper to higher-level mathematics. Researchers and policy makers have pushed to open that gate—providing more students access to algebra, focusing in particular on those students historically denied access to higher-level mathematics. Let’s Not Be So Quick to Give Up on Algebra.

Algebra 76
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How far has education really come in terms of reducing inequities?

CSTEM

For instance, only 38% of schools serving predominantly Black and Latinx students offer calculus, compared to 50% of all high schools. In middle schools offering algebra, white students make up 50% of the attendees, but 58% of those enrolled in algebra classes. Economic disparities are just as stark. Changing placement policies.

Algebra 52
educators

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Wolfram|Alpha as the Way to Bring Computational Knowledge Superpowers to ChatGPT

Stephen Wolfram

It’s equally, if not more, important for human-like AIs as well—immediately giving them what we can think of as computational knowledge superpowers, that leverage the non-human-like power of structured computation and structured knowledge. It’s a tremendously powerful way of working.

Computer 145
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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 121
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Grading in my Discrete Mathematics class: a 3x3x3 reflection

Robert Talbert, Ph.D.

Here's the one from Winter 2021 for calculus and here's the one for modern algebra. I only have a preliminary tabulation of the course grades right now, but it's the most striking bimodal distribution I have ever seen, with a large number of D grades and an almost equally large number of A's.

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Launching Version 13.0 of Wolfram Language + Mathematica

Stephen Wolfram

Any integral of an algebraic function can in principle be done in terms of our general DifferentialRoot objects. When you do operations on Around numbers the “errors” are combined using a certain calculus of errors that’s effectively based on Gaussian distributions—and the results you get are always in some sense statistical.

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Nestedly Recursive Functions

Stephen Wolfram

In general, the number of edges that come out of a single node in a evaluation graph will be equal to the number of instances of the function f that appear on the right-hand side of the recursive definition we’re using (i.e. in computer algebra systems I’d used. 2 in the case of the standard Fibonacci definition).

Computer 112