PCS Edventures

MARCH 4, 2020

Whether you agree with the theory that mathematics exists for humans to discover or that it is a man-made tool, numeric systems designed to measure the world around us serve as the foundation for scientific and technological advancement. Calculus , which calculates rates of change and infinites. What is Math?

Mathematics 52

Mathematics Energy Architecture Government 52

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. We’ve seen the growth of computer science—CS. But how is that rule picked?

Computer 135

Computer Physics Mathematics Achievement 135

National Science Foundation

FEBRUARY 6, 2024

The biases are notably stark if schools are divided out by minority enrollment, as public middle and high schools with more than 50 percent White students have only 2 percent of mathematics teachers and 1 percent of science teachers that are Black ( National Center for Science & Engineering Statistics ). NSB-2022-1.

Education 52

Education Education Mathematics Computer Science 52

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. KRISTIN’S TOP TIPS.

Aerospace 98

Aerospace Mathematics Computer Science Research 98

Stephen Wolfram

SEPTEMBER 9, 2021

But what I’ve increasingly been realizing is that actually it’s showing us something even bigger and deeper: a whole fundamentally new paradigm for making models and in general for doing theoretical science. Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models.

Science 64

Science Sciences Physics Mathematics 64

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.

Mathematics 52

Mathematics Algebra Communications Computer Science 52

Computing Education Research Blog

JULY 5, 2021

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. We cannot predict that students learning programming will automatically get higher mathematics grades, for example. Those things transfer.

Calculus 40

Calculus Mathematics Computer Computer Science 40

Stephen Wolfram

SEPTEMBER 9, 2021

But what I’ve increasingly been realizing is that actually it’s showing us something even bigger and deeper: a whole fundamentally new paradigm for making models and in general for doing theoretical science. Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models.

Physics 65

Physics Science Sciences Mathematics 65

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 263

Teaching Algebra Schooling Math 263

Futurum

JUNE 28, 2022

Chen-Yu and Haipeng use mathematical concepts to create new reinforcement learning algorithms… © Aaron John Balana. … which they must then implement in computer code. Machine learners use a mix of mathematics and computer science to develop and test their algorithms. © Aaron John Balana.

Artificial Intelligence 88

Artificial Intelligence Learning Computer Science Computer 88

Stephen Wolfram

SEPTEMBER 23, 2021

This is the first of a series of pieces I’m planning in connection with the upcoming 20th anniversary of the publication of A New Kind of Science. “There’s a Whole New Field to Build…” For me the story began nearly 50 years ago —with what I saw as a great and fundamental mystery of science. From mathematics.

Computer 55

Computer Mathematics Science Sciences 55

Robert Talbert, Ph.D.

FEBRUARY 10, 2023

In the original article, I gave a list of what computing skills mathematics majors should learn and when they should learn them. If anything, over the past seven years, my feelings about the centrality of computing in the mathematics major have gotten even more entrenched. Mostly this is because of two things.

Mathematics 52

Mathematics Computer Algebra Calculus 52

Stephen Wolfram

SEPTEMBER 29, 2023

A different tradition—originating in mathematics in the late 1800s—involved the routine use of “abstract functions” like f ( x ). Such abstract functions could be used both “symbolically” to represent things, and explicitly to “compute” things. I’d studied both practical computer systems and ideas from mathematical logic.

Physics 108

Physics Computer Argumentation Construction 108

Stephen Wolfram

AUGUST 22, 2023

Ed was someone who wanted to independently figure things out for himself, and delighted in presenting his often somewhat-outlandish conclusions—whether about technology, science, business or the world—with dramatic showman-like panache. Finally I felt as if there might be a plausible computational foundation for fundamental physics.

Computer 68

Computer Physics Science Sciences 68

Stephen Wolfram

JUNE 8, 2022

To make a closer analogy with quantum mechanics one can start thinking about combining different chunks of “multiway game play”, and trying to work out a calculus for how those chunks fit together. The explorations I’ve discussed here can be thought of as originating from a single note in A New Kind of Science.

Physics 71

Physics Computer Construction Equality 71

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 it’s one that I think has extremely deep implications—both in science and beyond. Or, for that matter, representing something purely formal, and, say, mathematical.

Physics 122

Physics Mathematics Computer Construction 122

Stephen Wolfram

FEBRUARY 14, 2023

Or you could do what is the essence of theoretical science: make a model that gives some kind of procedure for computing the answer rather than just measuring and remembering each case. Then we might make a mathematical guess, like that perhaps we should use a straight line as a model: We could pick different straight lines.

Computer 145

Computer Architecture Mathematics Construction 145

Stephen Wolfram

FEBRUARY 3, 2023

The Second Law of thermodynamics is considered one of the great general principles of physical science. It’s all a story of the interplay between underlying computational irreducibility and our nature as computationally bounded observers. How does one tie all this down with rigorous, mathematical-style proofs?

Computer 92

Computer Energy Physics Construction 92