STEM Education Shopping

AUGUST 27, 2023

Integrative learning is all about connecting different areas of knowledge and skills, and interdisciplinary approaches play a crucial role in achieving this goal. Critical thinking enables me to analyze information, evaluate arguments, and make informed decisions.

Critical Thinking 52

Critical Thinking Learning Problem Solving Communications 52

Stephen Wolfram

SEPTEMBER 9, 2021

Many would say that modern exact science was launched in the 1600s with the introduction of what we can call the “ mathematical paradigm ”: the idea that things in the world can be described by mathematical equations—and that their behavior can be determined by finding solutions to these equations.

Physics 65

Physics Science Sciences Mathematics 65

Stephen Wolfram

SEPTEMBER 9, 2021

Many would say that modern exact science was launched in the 1600s with the introduction of what we can call the “ mathematical paradigm ”: the idea that things in the world can be described by mathematical equations—and that their behavior can be determined by finding solutions to these equations.

Science 64

Science Sciences Physics Mathematics 64

Futurum

FEBRUARY 9, 2023

Simulation and statistical models (SSMs) are types of mathematical models used in ecology. Pathway from school to forest ecology • Becoming a forest ecologist starts with studying fundamental sciences like biology and chemistry in school. It is inspiring to see the research mainstreamed and the arguments of “is climate changing?”

Research 78

Research Research Science Sciences 78

Stephen Wolfram

JUNE 29, 2022

And for the past four years I’ve been sharing the “behind the scenes” of how it’s achieved—by livestreaming our Wolfram Language design review meetings. You can give Threaded as an argument to any listable function, not just Plus and Times : &#10005. And that’s finally been achieved in Version 13.1. In designing Version 13.1

Calculus 114

Calculus Construction Computer Argumentation 114

Stephen Wolfram

MAY 17, 2021

Traditional blockchains achieve consensus through what amounts to a centralized mechanism (even though there are multiple “decentralized” copies of the blockchain that is produced). In both these cases, the rule successfully achieves “global consensus”. So what other cellular automaton rules achieve consensus like this?

Computer 52

Computer Achievement Mathematics Physics 52

Stephen Wolfram

NOVEMBER 10, 2021

And—it should be said at the outset—we’re still only at the very beginning of nailing down those technical details and setting up the difficult mathematics and formalism they involve.) Mathematically this can be thought of as being like decomposing the ruliad structure in terms of fibrations and foliations.). Experiencing the Ruliad.

Physics 122

Physics Mathematics Computer Construction 122

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

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. It says that “From a one-man operation [in 1962], I.I.I.

Computer 68

Computer Physics Science Sciences 68

Stephen Wolfram

FEBRUARY 2, 2023

It’s a story I’ve told elsewhere , but one of the important elements for our purposes here is that in designing the system I called SMP (for “Symbolic Manipulation Program”) I ended up digging deeply into the foundations of computation, and its connections to areas like mathematical logic.

Physics 95

Physics Computer Mathematics Science 95

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”. How does one tie all this down with rigorous, mathematical-style proofs? But one never quite gets there ; it always seems to need something extra. But the mystery of the Second Law has never gone away.

Computer 92

Computer Energy Physics Construction 92