National Science Foundation

SEPTEMBER 22, 2021

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

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 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

MARCH 7, 2022

One can view a symbolic expression such as f[g[x][y, h[z]], w] as a hierarchical or tree structure , in which at every level some particular “head” (like f ) is “applied to” one or more arguments. So how about logic, or, more specifically Boolean algebra ? We’ve looked at axioms for group theory and for Boolean algebra.

Mathematics 120

Mathematics Physics Computer Algebra 120

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 Argumentation 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). The systems can be based on Boolean algebra, database updating or other kinds of ultimately computational rules.

Physics 65

Physics Science Sciences Mathematics 65

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). The systems can be based on Boolean algebra, database updating or other kinds of ultimately computational rules.

Science 64

Science Sciences Physics Mathematics 64