ED Surge

NOVEMBER 7, 2023

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 354

Research Research Teaching Calculus 354

Stephen Wolfram

JUNE 28, 2023

too—delivering the latest from our long-term research and development pipeline. Across the 35 years since Version 1 we’ve been able to continue accelerating our research and development process, year by year building on the functionality and automation we’ve created. But while LLMs are “the biggest single story” in Version 13.3,

Computer 118

Computer Calculus Construction Mathematics 118

Stephen Wolfram

JANUARY 9, 2024

we’ve been steadily delivering the fruits of our research and development in.1 Then for each function (or other construct in the language) there are pages that explain the function, with extensive examples. So did that mean we were “finished” with calculus? And in Version 14 there are significant advances around calculus.

Computer 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

JANUARY 31, 2023

It began partly as an empirical law, and partly as something abstractly constructed on the basis of the idea of molecules, that nobody at the time knew for sure existed. But what’s important for our purposes here is that in the setup Carnot constructed he basically ended up introducing the Second Law.

Energy 88

Energy Physics Argumentation Mathematics 88

Stephen Wolfram

FEBRUARY 3, 2023

Sometimes textbooks will gloss over everything; sometimes they’ll give some kind of “common-sense-but-outside-of-physics argument”. In some types of rules it’s basically always there , by construction. But one never quite gets there ; it always seems to need something extra. But the mystery of the Second Law has never gone away.

Computer 92

Computer Energy Physics Construction 92

Robert Talbert, Ph.D.

APRIL 15, 2022

Those assessments can take on various forms, and in well-constructed courses they do have varying forms, corresponding to different levels of Bloom's Taxonomy. But if you were reading a research article and the author used a sample size of n = 1, how would you react? It makes sense as long as you don't think about it.

Academic Standards 52

Academic Standards Communications Calculus Argumentation 52

Stephen Wolfram

AUGUST 22, 2023

It didn’t help that his knowledge of physics was at best spotty (and, for example, I don’t think he ever really learned calculus). He was going for what he saw as the big prize: using them to “construct the universe”. But it also led him to the idea that the universe must be a giant cellular automaton—whose program he could invent.

Computer 67

Computer Physics Science Sciences 67