ED Surge

MAY 28, 2024

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. Julie Lynem’s son had taken algebra in eighth grade, but hadn’t comprehended some of the core concepts.

Algebra 335

Algebra Schooling Math Achievement 335

Stephen Wolfram

JANUARY 31, 2023

But he had a second hypothesis too—based, he said, on the ideas of “that most ingenious gentleman, Monsieur Descartes”: that instead air consists of “flexible particles” that are “so whirled around” that “each corpuscle endeavors to beat off all others”.

Energy 90

Energy Physics Argumentation Mathematics 90

National Science Foundation

SEPTEMBER 22, 2021

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. Second, teachers can support students to develop flexibility within and across procedures. Boaler & Leavitt, 2019). Compared with what?

Algebra 76

Algebra Mathematics Flexibility Research 76

Stephen Wolfram

JANUARY 9, 2024

So did that mean we were “finished” with calculus? Somewhere along the way we built out discrete calculus , asymptotic expansions and integral transforms. And in Version 14 there are significant advances around calculus. Another advance has to do with expanding the range of “pre-packaged” calculus operations.

Computer 97

Computer Calculus Construction Accessibility 97

Robert Talbert, Ph.D.

APRIL 15, 2022

be the primary measure of success in a course, and some measure of grace and flexibility will be included along with high standards and "rigor" And for other instructors, this concept raises more questions than answers. For some instructors, it provides hope that student growth will (finally!) A misplaced trust in statistics.

Academic Standards 52

Academic Standards Communications Calculus Algebra 52

Stephen Wolfram

SEPTEMBER 9, 2021

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). At the level of individual events, ideas from the theory and practice of computation are useful. One is so-called Böhm trees.

Physics 66

Physics Science Sciences Mathematics 66

Stephen Wolfram

SEPTEMBER 9, 2021

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). At the level of individual events, ideas from the theory and practice of computation are useful. One is so-called Böhm trees.

Science 60

Science Sciences Physics Mathematics 60