Stephen Wolfram

OCTOBER 27, 2023

Mathematics. And in our century there’s a new and yet more powerful one: computation. And for nearly 50 years I’ve had the great privilege of building an ever taller tower of science and technology based on that idea of computation. And, yes, it’s computational. These are all ways to formalize the world.

Computer 132

Computer Physics Mathematics Achievement 132

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. I think about things as a human.

Computer 145

Computer Communications Achievement Mathematics 145

Computer Science Teacher

JULY 12, 2022

Now I love simulating dice on the computer. I can see it being useful in an algebra or statistics class though. For a computer teacher, the things this goes though are ripe for simulation problems though. Have students watch the video at home and build their own simulations to compare with the mathematical results?

Math 130

Math Algebra Computer Mathematics 130

Ask a Tech Teacher

AUGUST 10, 2016

C-STEM Studio is a California A-G approved curriculum and turn-key solution for teaching science, technology, engineering and mathematics through computing and robotics. ” In fact, the C-STEM Studio algebra curriculum is fully aligned with Common Core state standards in mathematics. is cost-efficient.

Robotics 183

Robotics Math STEM Computer 183

Robert Talbert, Ph.D.

FEBRUARY 10, 2023

As I teach my Linear Algebra and Differential Equations class this semester, which uses more computing than ever, I'm thinking even more about these topics. Yesterday I got an email from a reader who had read this post called What should math majors know about computing? Mostly this is because of two things.

Mathematics 52

Mathematics Computer Algebra Calculus 52

Computing Education Research Blog

FEBRUARY 23, 2022

Elise is a mathematics education researcher who has been studying how students come to understand counting problems. Educators have shown how programming integrated into other subjects can be a powerful tool to enhance learning, from algebra to language arts. I loved what she was doing, and we started having regular chats.

Mathematics 83

Mathematics Learning Algebra Computer Science 83

STEM Education Guide

APRIL 15, 2022

A well-organized world without the use of mathematics is unimaginable. Therefore, it’s no surprise that a wealth of mathematical branches exists in the world today. Nowadays, a mathematics study from the basics to advanced levels that contribute to technology, medicine, engineering, and more. What Is Mathematics?

Mathematics 52

Mathematics Algebra Calculus Computer Science 52

ED Surge

APRIL 23, 2024

years of my career at Weehawken High School, where I taught Algebra I (students in grades seven to nine) and AP Calculus (grades 11-12). years, I have been teaching Algebra I and geometry for grades nine and 10 at Becton Regional High School. At Bush, I teach technology applications, computer science and robotics.

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Teaching Algebra Schooling Math 322

Futurum

JULY 13, 2022

Numbers and networks: how can we use mathematics to assess the resilience of global supply chains? At Brigham Young University in the US, Dr Zach Boyd is using his mathematical skills to determine how best to protect our supply chains. BUILDING MATHEMATICAL MODELS. FIELD OF RESEARCH: Mathematics. Published: July 13, 2022.

Mathematics 82

Mathematics Artificial Intelligence Math Research 82

Ask a Tech Teacher

JUNE 24, 2015

In the face of mounting evidence, education experts accepted a prescriptive fact: student success is not measured by milestones like ‘took a foreign language in fifth grade’ or ‘passed Algebra in high school’ but by how s/he thinks. In short, they must think and understand, not just do the rote drill.

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Critical Thinking Argumentation Problem Solving Communications 331

Stephen Wolfram

MARCH 23, 2023

Thanks to some heroic software engineering by our team and by OpenAI , ChatGPT can now call on Wolfram|Alpha—and Wolfram Language as well—to give it what we might think of as “computational superpowers”. But when it’s connected to the Wolfram plugin it can do these things. And here’s a bonus: immediate visualization: How did this work?

Computer 145

Computer Mathematics Math Achievement 145

Stephen Wolfram

MARCH 5, 2024

At a very practical level, for example, LLMs provide a new kind of linguistic interface to the computational capabilities that we’ve spent so long building in the Wolfram Language. Three centuries ago science was transformed by the idea of representing the world using mathematics. So how does AI stack up?

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Science Sciences Computer Mathematics 116

Stephen Wolfram

NOVEMBER 10, 2021

Think of it as the entangled limit of everything that is computationally possible: the result of following all possible computational rules in all possible ways. And as such, it traces out the entangled consequences of progressively applying all possible computational rules. The Entangled Limit of Everything. I call it the ruliad.

Physics 117

Physics Mathematics Computer Construction 117

STEM Education Guide

MARCH 8, 2023

It’s no secret that the exposure of students to science, technology, engineering, and mathematics (STEM) can positively impact the future of the world and their futures. However, one thing that’s often overlooked is computer science education, an incredibly essential subject and skill in today’s digital era. What Is Computer Science?

Computer Science 52

Computer Science Computer Science Sciences 52

Futurum

DECEMBER 6, 2022

Plugging in: directly linking the brain to a computer. Published: Brain-computer interfaces (BCIs) link the brain directly to external computers, allowing users to do something just by thinking it. TALK LIKE A … COMPUTER SCIENTIST. Brains and computers share lots of similarities. How do BCIs work?

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Computer Computer Science Artificial Intelligence Research 70

STEMe

DECEMBER 3, 2023

More importantly, however, the advent of computers in the mid-1900s paved the way for a new, more advanced form of stock trading known as quantitative analysis, forever changing the state of the stock market. The trader will then instruct the computer to automatically buy the stock when it hits $25 and sell when it hits $30.

Computer Science 52

Computer Science Computer Science Sciences 52

Stephen Wolfram

SEPTEMBER 27, 2024

Because somehow in the computational universe—and in the world of ruliology —there are always surprises. The Basic Idea Consider the definition (later we’ll call this “P312”) which we can also write as: The first few values for f [ n ] generated from this definition are: Continuing further we get: But how are these values actually computed?

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Computer Mathematics Argumentation Science 108

Stephen Wolfram

AUGUST 29, 2024

A major theme of my work since the early 1980s had been exploring the consequences of simple computational rules. Could it be that at a fundamental level our whole universe is just following some simple computational rule ? And at first I couldn’t see how computational rules could connect to what is known in physics.

Physics 112

Physics Computer Biology Mathematics 112

User Generated Education

MARCH 15, 2020

They were asked to continue working on this through our hiatus while my 5th and 6th graders were asked to join and work on the Code.org CS in Algebra. CUE Spring Conference – Computer-Using Educators (CUE) is a California-based non-profit that offers a premiere educational technology conference each spring. I attend every year.

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Education Education Learning Math 126

Stephen Wolfram

DECEMBER 11, 2023

Much as we have a general model for the process of computation —instantiated by something like a Turing machine —we’d like to have a general model for the process of observation: a general “observer theory”. There’s in a sense a certain duality between computation and observation. In computation one’s generating new states of a system.

Physics 114

Physics Computer Mathematics Communications 114

Stephen Wolfram

JUNE 28, 2023

We’ve worked very hard to make its design as clean and coherent as possible—and to make it a timeless way to elegantly represent computation and everything that can be described through it. Last Friday I fired up Version 1 on an old Mac SE/30 computer (with 2.5 Last Friday I fired up Version 1 on an old Mac SE/30 computer (with 2.5

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Computer Construction Calculus Mathematics 120

Robert Talbert, Ph.D.

FEBRUARY 11, 2022

Here's the one from Winter 2021 for calculus and here's the one for modern algebra. This semester I taught two sections of Discrete Structures for Computer Science 1, an entry-level course for Computer Science majors on the mathematical foundations of computing. Nearly all the students are CS majors.

Mathematics 52

Mathematics Algebra Communications Computer Science 52

Futurum

JANUARY 4, 2023

BIT — the smallest unit of data that a computer can process and store. Jacq and a PhD working in the lab, with a shaped laser beam displayed on the computer screen. This new version of the internet will enable us to connect quantum computers, achieve more powerful computation and allow secure quantum communication.

Physics 98

Physics Research Research Algebra 98

National Science Foundation

DECEMBER 13, 2022

It’s exciting, dramatic—the pulsing noise from space pushing through the ancient computer systems. 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.”

Math 75

Math Mathematics Communications Algebra 75

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 66

Physics Science Sciences Mathematics 66

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 60

Science Sciences Physics Mathematics 60

Newton STEM

FEBRUARY 13, 2022

A Practical Guide to Quantum Computing. Using Computer Science to Model our World. Introduction to the Theory of Computation. Introduction to the Theory of Computation. Quantum Field Theory: A Mathematical Perspective. Physics of Light: Theory and Experiments. Soils: Science, Practice, and Sustainability.

Algebra 45

Algebra Chemistry Computer Science Equality 45

Futurum

JUNE 28, 2022

ALGORITHM – a sequence of well-defined rules that allows computers to make calculations and solve problems. MACHINE LEARNING – a type of artificial intelligence in which computers learn from past data in order to predict outcomes more accurately. … which they must then implement in computer code. © Aaron John Balana.

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Artificial Intelligence Learning Computer Science Computer 88

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

Stephen Wolfram

MAY 16, 2022

My original goal in A New Kind of Science was to take a step beyond the mathematical paradigm that had defined the state of the art in science for three centuries—and to introduce a new paradigm based on computation and on the exploration of the computational universe of possible programs. But there’s more.

Science 64

Science Sciences Mathematics Physics 64

Stephen Wolfram

MAY 25, 2021

And in it this computation is going on: &#10005. Let’s change the rule for the computation a bit. But that ignores the phenomenon of computational irreducibility. But it’s a fundamental fact of the computational universe that the result doesn’t have to be simple: &#10005. Imagine you have some sophisticated AI.

Mathematics 52

Mathematics Physics Computer Algebra 52

Stephen Wolfram

SEPTEMBER 29, 2023

But some of it has immediate practical implications, notably for parallel, distributed, nondeterministic and quantum-style computing. The key point is that a given event cannot happen unless all the inputs to it are available, i.e. have already been computed. Some of what this will lead us to is deeply abstract.

Physics 102

Physics Computer Argumentation Construction 102

The Maker Mom

JANUARY 17, 2024

World Scholars Academy World Scholars Academy hosts a two-week intensive mathematics course for kids 15-18, administered by a doctoral candidate from Cambridge, Evgeny Goncharov. They’ll enjoy ten classes over two weeks, where they gain a better understanding of proof-based mathematics.

Math 52

Math Calculus Algebra Problem Solving 52

The Maker Mom

OCTOBER 13, 2023

Children who participate in mathematics contests and competitions with other students their age can see some real benefits from their participation. Thanks to the cooperative nature of the study of mathematics, there are plenty of good-spirited contests for kids to join. It’s a chance for participants from all corners of the U.S.

Math 52

Math Mathematics Problem Solving Algebra 52

STEM Education Shopping

JULY 19, 2023

These digital tools can revolutionize the way you teach math, allowing students to interact with virtual objects and explore mathematical concepts in a hands-on way. This interactive approach not only captures students’ attention but also helps them develop a deeper understanding of mathematical concepts.

Math 52

Math Problem Solving Algebra Mathematics 52

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

STEMe

OCTOBER 13, 2023

Shrewsbury, MA Ever heard of a programming language that is so versatile, that it has the speed of C with the dynamism of Ruby, or with true macros like Lisp, but with obvious, familiar mathematical notation like Matlab? This makes Julia perfect for demanding tasks like scientific computing, data analysis, and machine learning.

Data analysis 52

Data analysis Finance Algebra Data Science 52