Stephen Wolfram

JUNE 28, 2023

And in Mathematica and the Wolfram Language that’s achieved with Integrate. And over the years that’s exactly what we’ve achieved—for integrals, sums, differential equations, etc. It’s the end of a long journey, and a satisfying achievement in the quest to make as much mathematical knowledge as possible automatically computable.

Computer 120

Computer Calculus Construction Mathematics 120

PCS Edventures

SEPTEMBER 22, 2021

Learners see the challenges characters face time and again as they work to achieve a goal. Well, in recent years, you may have noticed an increased focus on supporting scientific thinking with written and oral arguments. These stories open their minds to infinite possibilities and, just like engineers, push them to think, “What if?”.

Mathematics 52

Mathematics Engineering Argumentation Sciences 52

The Maker Mom

MARCH 18, 2023

A reported 45% of elementary school students use online learning resources, and this number gradually increases as children graduate to middle and high school. Many of these students achieve most, if not all of their credit hours through online courses. Educational software and applications are close behind at 65%.

Learning 52

Learning Online Schooling Accessibility Argumentation 52

National Science Foundation

NOVEMBER 10, 2023

Each teacher participated in TEAM-Math, a National Science Foundation (NSF)-funded targeted math science partnership (DUE # 0314959 ) whose goal was to improve grades K–12 mathematics teaching and learning in east Alabama, focusing on improving mathematics achievement and engagement across demographic groups (Martin et al.,

Mathematics 52

Mathematics Elementary Math Teaching 52

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 97

Computer Calculus Construction Accessibility 97

Vivify Stem

NOVEMBER 22, 2022

Using the Next Generation Science Standards (NGSS) as a guide, we break down the best ways to add engineering design to enhance science in your elementary and middle school classroom. All are important goals, but to achieve them, we need to make them clear! Why should I even integrate engineering into science instruction?

Engineering 52

Engineering Sciences Science Earth science 52

Stephen Wolfram

NOVEMBER 10, 2021

The most elementary example of something like this is the statement ( already present in Euclid ) that if and , then. In other words, we’re concerned more with what computational results are obtained, with what computational resources, rather than on the details of the program constructed to achieve this.

Physics 117

Physics Mathematics Computer Construction 117

Stephen Wolfram

FEBRUARY 2, 2023

And as a kind of graduation gift when I finished (British) elementary school in June 1972 I arranged to get those books. I’d started by considering only “elementary” cellular automata , in one dimension, with k = 2 colors, and with rules of range r = 1. There are 256 such “elementary rules”. code 10)”.

Physics 95

Physics Computer Mathematics Sciences 95

Stephen Wolfram

MARCH 7, 2022

And in what follows we’ll see the great power that arises from using this to combine the achievements and intuitions of physics and mathematics—and how this lets us think about new “general laws of mathematics”, and view the ultimate foundations of mathematics in a different light. and zero arguments: α[ ]. &#10005.

Mathematics 116

Mathematics Physics Computer Algebra 116

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”. This argument is quite rough, but it captures the essence of what’s going on. But one never quite gets there ; it always seems to need something extra. Why does the Second Law work?

Computer 91

Computer Energy Physics Construction 91

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. But there is something else too—and it’s from this that the full computational paradigm emerges.

Physics 66

Physics Sciences Science Mathematics 66

Stephen Wolfram

AUGUST 29, 2024

In the end—after all sorts of philosophical arguments, and an analysis of actual historical data —the answer was: “It’s Complicated”. An idea that was someone’s great achievement had been buried and lost to the world. Before the arrival of the Physics Project in 2019—I’d been quite involved in AI philosophy , AI ethics, etc.

Physics 112

Physics Computer Biology Mathematics 112

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. But there is something else too—and it’s from this that the full computational paradigm emerges.

Sciences 60

Sciences Science Physics Mathematics 60

Stephen Wolfram

MARCH 5, 2024

My first big success came in 1981 when I decided to try enumerating all possible rules of a certain kind (elementary cellular automata) and then ran them on a computer to see what they did: I’d assumed that with simple underlying rules, the final behavior would be correspondingly simple. Back in 1987—as part of building Version 1.0

Sciences 116

Sciences Science Computer Mathematics 116

Stephen Wolfram

AUGUST 22, 2023

Ed was never officially a “test pilot”, but he told me stories about figuring out how to take his plane higher than anyone else—and achieving weightlessness by flying his plane in a perfect free-fall trajectory by maintaining an eraser floating in midair in front of him.

Computer 69

Computer Physics Sciences Science 69