Vivify Stem

NOVEMBER 22, 2022

Students will not suddenly discover concepts of momentum and that force is equal to mass x acceleration. All are important goals, but to achieve them, we need to make them clear! Without our guidance and careful planning of the lesson, the answer is definitely not! A design challenge alone will not promote scientific ideas.

Engineering 52

Engineering Science Sciences Earth science 52

National Science Foundation

SEPTEMBER 22, 2021

Yet we have not seen equal advances in achievement (National Center for Education Statistics, 2019). Even more worrisome have been persistent demographic gaps in achievement, showing that despite the focus on access, inequitable mathematics education persists. 2017; Stein et al., Boaler & Leavitt, 2019).

Algebra 76

Algebra Mathematics Flexibility Research 76

Futurum

MAY 11, 2023

Social science for social change: the story of marriage equality in the US Published: For centuries, gay people have suffered discrimination, prejudice and persecution. Not only has Michael investigated why it occurred, he also played an important role in achieving marriage equality in the US.

Equality 57

Equality Social Sciences Science Sciences 57

Stephen Wolfram

JANUARY 31, 2023

But, first and foremost, the story of the Second Law is the story of a great intellectual achievement of the mid-19th century. But in other ways it’s also a cautionary tale, of how the forces of “conventional wisdom” can blind people to unanswered questions and—over a surprisingly long time—inhibit the development of new ideas.

Energy 88

Energy Physics Argumentation Mathematics 88

Stephen Wolfram

MAY 23, 2023

And for example doing a very simple piece of machine learning , we again get a symbolic object which can be used as a function and applied to an argument to get a result: And so it is with LLMFunction. By giving a second argument to LLMFunction you can say you want actual, structured computable output. are symbolic objects.

Technology 69

Technology Argumentation Computer Publication 69

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 118

Computer Calculus Construction Mathematics 118

Talk STEM

MAY 13, 2021

To achieve the level of equality that is truly beneficial for our society’s ability to advance, there has to be both an awareness of the causes of disparity and a mutual commitment for all contributors to work toward solutions. There really should be no argument that there should be a more diverse makeup of STEM contributors.

STEM 52

STEM Argumentation Accessibility Computer Science 52

User Generated Education

MARCH 24, 2019

Write arguments to support claims in an analysis of substantive topics or texts, using valid reasoning and relevant and sufficient evidence. Write informative/explanatory texts to examine and convey complex ideas, concepts, and information clearly and accurately through the effective selection, organization, and analysis of content.

Economics 73

Economics Argumentation Research Research 73

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

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. 3 | The Metamodeling of Axiomatic Mathematics. &#10005.

Mathematics 120

Mathematics Physics Computer Algebra 120

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”. But one never quite gets there ; it always seems to need something extra. But the mystery of the Second Law has never gone away. Why does the Second Law work? What does it really depend on?

Computer 92

Computer Energy Physics Construction 92

Stephen Wolfram

NOVEMBER 10, 2021

For integers, the obvious notion of equivalence is numerical equality. Then (by the assumed properties of equality) it follows that. 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 122

Physics Mathematics Computer Construction 122

Stephen Wolfram

MARCH 5, 2024

of what’s now Wolfram Language —we were trying to develop algorithms to compute hundreds of mathematical special functions over very broad ranges of arguments. Back in 1987—as part of building Version 1.0 In the past, people had painstakingly computed series approximations for specific cases. But what happens with other paths?

Science 122

Science Sciences Computer Mathematics 122