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Talented Students Are Kept From Early Algebra. Should States Force Schools to Enroll Them?

ED Surge

That left the family to decide whether to make him repeat the class in ninth grade — and potentially disadvantage him by preventing him from taking calculus later in high school — or to have him push through. When he later won an achievement award in math, Lynem determined that the decision had been a good one.

Algebra 320
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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. The most problematic strategy that many students try instead, he argues, is what he calls “mimicking,” which he has especially found in the math classes he studies.

Research 359
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Should Chatbots Tutor? Dissecting That Viral AI Demo With Sal Khan and His Son

ED Surge

In it, Sal Khan, founder of Khan Academy, which has been building a tutoring tool with ChatGPT, sits watching his 15-year old son Imran learn a math concept from a talking version of the chatbot running on an iPad, which can also see what the student is typing on the tablet. It was making math errors. It could be used to cheat.

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What should mathematics majors know about computing, and when should they know it?

Robert Talbert, Ph.D.

Yesterday I got an email from a reader who had read this post called What should math majors know about computing? My students are using Geogebra , Wolfram|Alpha , and Excel every week in Calculus; LaTeX in my proof-oriented classes; Mathematica in my linear algebra and Calculus 3 classes; and so on.

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

Stephen Wolfram

But in 1798 Benjamin Thompson (Count Rumford) (1753–1814) measured the heat produced by the mechanical process of boring a cannon, and began to make the argument that, in contradiction to the caloric theory, there was actually some kind of correspondence between mechanical energy and amount of heat.

Energy 89
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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 119
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Nestedly Recursive Functions

Stephen Wolfram

Some involve alternate functional forms; others involve introducing additional functions, or allowing multiple arguments to our function f. But it turns out that the fact that this can happen depends critically on the Ackermann function having more than one argument—so that one can construct the “diagonal” f [ m , m , m ].

Computer 106