ED Surge

OCTOBER 14, 2022

Research shows that excessive homework leads to increased stress, physical health problems and a lack of balance in students' lives. Another common argument is that homework helps students develop skills related to problem-solving, time-management and self-direction. Yet, this is the workload most schools place on high school students.

Learning 300

Learning Achievement Calculus Research 300

Stephen Wolfram

SEPTEMBER 29, 2023

And it’s all based on ideas from our Physics Project —and on a fundamental correspondence between what’s happening at the lowest level in all physical processes and in expression evaluation. And this is where we can start making an analogy with physics. And now there’s a deep analogy to physics.

Physics 108

Physics Computer Argumentation Construction 108

Stephen Wolfram

MARCH 7, 2022

1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 23 The Physicalized Laws of Mathematics. 29 Counting the Emes of Mathematics and Physics. 1 | Mathematics and Physics Have the Same Foundations. 3 The Metamodeling of Axiomatic Mathematics. Graphical Key.

Mathematics 120

Mathematics Physics Computer Algebra 120

Stephen Wolfram

JANUARY 31, 2023

But by the end of the 1800s, with the existence of molecules increasingly firmly established, the Second Law began to often be treated as an almost-mathematically-proven necessary law of physics. The theory of heat will hereafter form one of the most important branches of general physics.

Energy 88

Energy Physics Argumentation Mathematics 88

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

SEPTEMBER 9, 2021

One might have thought it was already exciting enough for our Physics Project to be showing a path to a fundamental theory of physics and a fundamental description of how our physical universe works. Despite this, however, fundamental physics always seemed to resist its advance. The Path to a New Paradigm.

Physics 65

Physics Science Sciences Mathematics 65

Stephen Wolfram

JUNE 29, 2022

You can give Threaded as an argument to any listable function, not just Plus and Times : &#10005. we’re adding SymmetricDifference : find elements that (in the 2-argument case) are in one list or the other, but not both. If we define a month “physically”, it corresponds to a certain fractional number of days: &#10005.

Calculus 114

Calculus Construction Computer Argumentation 114