Ask a Tech Teacher

JANUARY 22, 2020

There’s always been something mystical about people in technical professions–engineering, science, mathematics. They talk animatedly about plate tectonics, debate the structure of mathematical functions, even smile at the mention of calculus. Do try to fix your broken computer yourself (i.e.,

Calculus 287

Calculus Mathematics Computer Curriculum 287

Ask a Tech Teacher

MAY 3, 2020

There’s always been something mystically cerebral about people in technical professions like engineering, science, and mathematics. They talk animatedly about plate tectonics, debate the structure of atoms, even smile at the mention of calculus. Life after the 100th crashed computer is what might be called a life-defining moment.

Calculus 265

Calculus Computer Mathematics Curriculum 265

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

Ask a Tech Teacher

MARCH 10, 2017

STEM is the acronym for Science, Technology, Engineering, and Mathematics. Mathematics happens everywhere–at the grocery store, the bank, the family budget, the affirmative nod from parents to update a child’s computer to their agreement to add apps from the app store. Albert Einstein. C-STEM Studio.

Teaching 220

Teaching STEM Engineering Mathematics 220

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 116

Mathematics Physics Computer Algebra 116

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

ED Surge

JUNE 4, 2024

And we also heard from Dan Meyer, vice president of user growth at Amplify, a curriculum and assessment company, who writes a newsletter about teaching mathematics where he has raised objections to the idea of using AI chatbots as tutors. I mean, he took calculus in seventh grade. And I was like, I guess I'm going to bring my son.

Artificial Intelligence 337

Artificial Intelligence Argumentation Technology Teaching 337

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

Stephen Wolfram

FEBRUARY 3, 2023

Computational Foundations for the Second Law of Thermodynamics 2. But back in the 1980s, as I began to explore the computational universe of simple programs, I discovered a fundamental phenomenon that was immediately reminiscent of the Second Law. The key is to think in computational terms. How Did We Get Here?

Computer 91

Computer Energy Physics Construction 91

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

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

Ask a Tech Teacher

JULY 26, 2016

While TI calculators are still ubiquitous and useful especially when working in higher math classes like Trigonometry or Calculus, Desmos is an online graphic calculator that can do everything the $100+ TI calculators can do and more (and did I mention it’s free?).

Math 254

Math Calculus Schooling Teaching 254

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

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

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?

Computer 108

Computer Mathematics Argumentation Science 108

Stephen Wolfram

FEBRUARY 14, 2023

See also: “Wolfram|Alpha as the Way to Bring Computational Knowledge Superpowers to ChatGPT” » It’s Just Adding One Word at a Time That ChatGPT can automatically generate something that reads even superficially like human-written text is remarkable, and unexpected. But how does it do it? And why does it work?

Computer 145

Computer Architecture Mathematics Construction 145

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). I hope in a similar manner, my impact extends beyond [sharpening] mathematical understanding to [supporting students in] how to be productive, kind, discerning humans in our world. For the past 1.5

Teaching 322

Teaching Algebra Schooling Math 322

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

Computer 120

Computer Construction Calculus Mathematics 120

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

Futurum

NOVEMBER 3, 2022

Kristin’s research spans a wide range of applications and theoretical domains, but the one thing they all have in common is temporal logic – that is, an unambiguous, mathematically precise way of describing and reasoning about systems that change over time. FASCINATING FORMAL METHODS. ABOUT TEMPORAL LOGIC.

Aerospace 98

Aerospace Mathematics Computer Science Research 98

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

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

Stephen Wolfram

JANUARY 9, 2024

And all those years we’ve been continuing to build a taller and taller tower of capabilities, progressively expanding the scope of our vision and the breadth of our computational coverage of the world: Version 1.0 In the arc of intellectual history it defines a broad, new, computational paradigm for formalizing the world.

Computer 97

Computer Calculus Construction Accessibility 97

Computing Education Research Blog

JULY 5, 2021

The cognitive benefits of learning computer programming: A meta-analysis of transfer effects ” was making the rounds on Twitter. They looked at 105 studies and found that there was a measurable amount of transfer between programming and situations requiring mathematical skills and spatial reasoning. Those things transfer.

Calculus 40

Calculus Mathematics Computer Computer Science 40

Stephen Wolfram

JANUARY 31, 2023

Computational Foundations for the Second Law of Thermodynamics (forthcoming) 2. But by the end of the 1800s, with the existence of molecules increasingly firmly established, the Second Law began to often be treated as an almost-mathematically-proven necessary law of physics. This is part 3 in a 3-part series about the Second Law: 1.

Energy 90

Energy Physics Argumentation Mathematics 90

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

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.

Artificial Intelligence 88

Artificial Intelligence Learning Computer Science Computer 88

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

Stephen Wolfram

SEPTEMBER 23, 2021

And at first I did so in the main scientific paradigm I knew : models based on mathematics and mathematical equations. But in a quirk of history that I now realize had tremendous significance, I had just spent a couple of years creating a big computer system that was ultimately a direct forerunner of our modern Wolfram Language.

Computer 55

Computer Mathematics Science Sciences 55

Newton STEM

JUNE 18, 2023

– An Introduction to Multivariable Calculus Developmental Immunology Cancer Warriors: Unleashing the Power of Your Immune System against Cancer From Earth to Space: Introduction to Space Medicine Electrifying Biochemistry Saving the World with the Science of Sustainability!

Calculus 40

Calculus Biology Equality Mathematics 40

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

Robert Talbert, Ph.D.

JUNE 15, 2023

This is a four-credit course primarily intended for students in engineering that combines topics from these two gigantic areas of mathematics. Those three adjectives also describe many of my students' past experiences with math courses, including MTH 302's prerequisites of Calculus 1, 2, and 3.

Engineering 52

Engineering Math Algebra Calculus 52

CTE Learning

MAY 20, 2022

stands for Science, Technology, Engineering, and Mathematics. Computer and Information Science pay an average salary of $72,600, which is still really great. On the other hand, physical and biological sciences, mathematics, science technology, and agricultural sciences pay around $50,400 on average. The acronym “S.T.E.M.”

STEM 52

STEM Artificial Intelligence Web Development Robotics 52

CTE Learning

MAY 20, 2022

” stands for Science, Technology, Engineering, and Mathematics. Mathematics is typically in every activity or occupation we do in life. Computer and Information Science pay an average salary of $72,600, which is still really great. Computer Engineer. You’re likely reading this through a computer/laptop.

STEM 52

STEM Web Development Artificial Intelligence Robotics 52