National Science Foundation

DECEMBER 13, 2022

After all, everyone knows that mathematics is the universal language. Yes, there is something inspiring about Galileo’s famous phrase—“Mathematics is the alphabet with which God has written the universe.” I teach four classes of 8 th grade Pre-Algebra every day. And yet, I want to propose that we stop saying that blithe phrase.

Math 75

Math Mathematics Communications Algebra 75

STEM Sport

JUNE 2, 2022

This disguised learning method engages left and right-brained students and allows them to learn through hands-on learning. 9-12: Everything You Need to Ace Pre-Algebra and Algebra I in One Big Fat Notebook : In a fun and non-threatening format, high school students can learn, refresh or improve their math skills.

Math 59

Math Algebra Mathematics STEM 59

STEM Education Shopping

JULY 22, 2023

These virtual tools are designed to help you understand and master various mathematical concepts in a fun like playing games and interactive way. Dive into the world of online math manipulatives and take your mathematical skills to the next level! Virtual blocks are perfect for counting and building. So why wait?

Math 52

Math Data analysis Algebra Finance 52

STEM Education Shopping

JULY 10, 2023

From simplifying complex mathematical operations to handling large numbers and decimal places, a calculator is a valuable tool that can make your chemistry studies much easier and more efficient. It allows you to handle large numbers and perform complex mathematical operations with ease. The answer is a resounding yes!

Chemistry 52

Chemistry Problem Solving Mathematics Equality 52

Stephen Wolfram

JANUARY 9, 2023

And indeed one of the great achievements of our civilization over the past several centuries has been to build up the paradigms of mathematics, the exact sciences—and, most importantly, now computation—and to create a tower of capabilities quite different from what pure human-like thinking can achieve.

Computer 145

Computer Communications Achievement Mathematics 145

Futurum

SEPTEMBER 12, 2023

Biology is often combined with engineering, medicine, psychology, sociology, chemistry, physics or mathematics, so that scientists can tackle complex, real-world problems. If you have the option, take a statistics course and mathematics courses beyond algebra,” says Barbara.

Biology 81

Biology STEM Critical Thinking Chemistry 81

Stephen Wolfram

MARCH 7, 2022

1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 3 The Metamodeling of Axiomatic Mathematics. 4 Simple Examples with Mathematical Interpretations. 15 Axiom Systems of Present-Day Mathematics. 21 What Can Human Mathematics Be Like? Graphical Key.

Mathematics 121

Mathematics Physics Computer Algebra 121

Robert Talbert, Ph.D.

MARCH 25, 2022

Active learning helps (see below), and I need to remember that there is always a backstory — that student who looks totally disengaged may be depressed, or sick, or just needing help in some non-mathematical way. in algebraic topology from a top-25 research university. Learning works best when it’s active. How about you?

Teaching 52

Teaching Learning Algebra Personalized Learning 52

STEM Education Shopping

JULY 19, 2023

Each block represents a specific number, allowing you to visually understand mathematical operations. By using these manipulatives, you can actively participate in the learning process and visually understand mathematical concepts. By combining two of these bars, you can visually see that two-fourths is equal to one-half.

Math 52

Math Algebra Data analysis Problem Solving 52

Stephen Wolfram

MAY 25, 2021

Fast numbers-based ways to do particular computations are often viewed as representing “ exact solutions ” to corresponding mathematical problems. Still, there is in a sense one other kind of computational reducibility that we do know about, and that’s been very widely used in mathematical science: the phenomenon of continuity.

Mathematics 53

Mathematics Physics Computer Algebra 53

Stephen Wolfram

MARCH 5, 2024

Three centuries ago science was transformed by the idea of representing the world using mathematics. And that’s for example why things like mathematical formulas have been able to be as successful in science as they have. In 2000 I was interested in what the simplest possible axiom system for logic (Boolean algebra) might be.

Science 123

Science Sciences Computer Mathematics 123

Stephen Wolfram

JUNE 28, 2023

They’re mathematically more complex, but each one we successfully cover makes a new collection of problems accessible to exact solution and reliable numerical and symbolic computation. 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 117

Computer Calculus Construction Mathematics 117

Futurum

AUGUST 11, 2022

LIGHT-YEAR – the distance travelled by light in one year (equal to ~9,000,000,000,000 km). I work with the Project for Inmate Education programme at UCSC, where I teach algebra and astronomy in Santa Cruz jail facilities. These solutions may or may not work, but both outcomes are equally useful.”. HOW HAS SIP GROWN?

Astronomy 98

Astronomy Equality Research Research 98

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.) For integers, the obvious notion of equivalence is numerical equality. For hypergraphs, it’s isomorphism. Experiencing the Ruliad.

Physics 122

Physics Mathematics Computer Construction 122

Stephen Wolfram

DECEMBER 11, 2023

But here we want to think not about what’s “mathematically describable”, but instead about what in general is actually implemented —say by our senses, our measuring devices, or our ways of analyzing things. And one particularly prominent example of this is mathematics, or rather, metamathematics. But other features do not.

Physics 121

Physics Mathematics Computer Communications 121

Stephen Wolfram

NOVEMBER 3, 2023

But the general concept of a multiway system, with its discrete branching at discrete steps, depends on a level of fundamental discreteness that’s quite unfamiliar from traditional statistical mechanics—though is perfectly straightforward to define in a computational, or even mathematical, way. For the 8:{3} rule something surprising happens.

Physics 87

Physics Construction Equality Science 87

Stephen Wolfram

OCTOBER 7, 2021

And the involvement of numbers will often allow us to make immediate use of traditional mathematical methods. or ) must for example be equal to 1 mod 2, 3 and 6. This structure is very dependent on the algebraic properties of. Many general multicomputational phenomena will show up here in simple forms (though others will not).

Physics 52

Physics Mathematics Algebra Construction 52

Stephen Wolfram

MAY 17, 2021

But what kind of integro-differential-algebraic equation can reproduce the time evolution isn’t clear. And in 1952 John von Neumann , in his “ Probabilistic Logics and the Synthesis of Reliable Organisms from Unreliable Components ”, began to give a mathematical structure for analyzing this.

Computer 52

Computer Achievement Mathematics Physics 52

Stephen Wolfram

DECEMBER 13, 2021

Any integral of an algebraic function can in principle be done in terms of our general DifferentialRoot objects. the same integral could still be done, but only in terms of elliptic integrals : Mathematical Functions: A Milestone Is Reached. has lots of specific mathematical enhancements. we’re delivering another jump forward.

Construction 66

Construction Computer Physics Accessibility 66