ED Surge

OCTOBER 14, 2022

Educators and parents started this school year with bated breath. According to a survey administered by the Centers for Disease Control and Prevention in 2019, 37 percent of high school students said they experienced persistent sadness or hopelessness and 19 percent reported suicidality. In response, more than half of all U.S.

Learning 294

Learning Achievement Calculus Research 294

National Science Foundation

SEPTEMBER 22, 2021

In its current form, school algebra serves as a gatekeeper to higher-level mathematics. Similarly, reformers have focused on the timing of the course, aiming to enroll students as early as possible to open pathways to calculus and to diversify access to higher level mathematics. Domina et al., 2015; Dougherty et al., 2017; Stein et al.,

Algebra 76

Algebra Mathematics Flexibility Research 76

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 356

Research Research Teaching Calculus 356

Stephen Wolfram

JANUARY 9, 2024

So many discoveries, so many inventions, so much achieved, so much learned. And key to everything we do is leveraging what we have already done—often taking what in earlier years was a pinnacle of technical achievement, and now using it as a routine building block to reach a level that could barely even be imagined before.

Computer 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

JANUARY 31, 2023

But, first and foremost, the story of the Second Law is the story of a great intellectual achievement of the mid-19th century. But in other ways it’s also a cautionary tale, of how the forces of “conventional wisdom” can blind people to unanswered questions and—over a surprisingly long time—inhibit the development of new ideas.

Energy 88

Energy Physics Argumentation Mathematics 88

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). At the end of high school, Ed applied to Caltech (which was only 13 miles away from where he lived), and largely on the basis of his test scores, was admitted. (For

Computer 67

Computer Physics Science Sciences 67

Stephen Wolfram

SEPTEMBER 9, 2021

Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models. Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. And the same issue arose for Alonzo Church’s lambda calculus (introduced around 1930).

Physics 64

Physics Science Sciences Mathematics 64