The Innovative Educator

MAY 3, 2015

This year’s report and several data snapshots and infographics will be available here: [link] Students in Blended Learning Environments Whether driven by parental demands for increased personalization or higher goals for student achievement, many administrators are finding that blended learning environments hold great promise.

Blended Learning 93

Blended Learning Schooling Learning Accessibility 93

The Maker Mom

OCTOBER 13, 2023

Math League Math League brings the spirit of competition to children in elementary, middle, and high schools around the globe. Noetic Learning Math Contest Noetic Learning holds its Math Contest semi-annually with sessions for elementary and middle school students in the fall and spring.

Math 52

Math Mathematics Problem Solving Algebra 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. So how about logic, or, more specifically Boolean algebra ?

Mathematics 116

Mathematics Physics Computer Algebra 116

The Maker Mom

JANUARY 17, 2024

Children between 6th and 12th grades can easily find an appropriate course in algebra, geometry, algebra 2, and pre-calculus. School Yourself School Yourself is a free platform starting with algebra and all the way through college-level courses like calculus.

Math 52

Math Calculus Algebra Problem Solving 52

Stephen Wolfram

MARCH 23, 2023

The whole process of “prompt engineering” feels a bit like animal wrangling: you’re trying to get ChatGPT to do what you want, but it’s hard to know just what it will take to achieve that. In the past, one might have tried to achieve this “by hand” by starting with “boilerplate” pieces, then modifying them, “gluing” them together, etc.

Computer 145

Computer Mathematics Math Achievement 145

Vivify Stem

MAY 5, 2021

For example, in middle school, students are expected to “develop a model to generate data for iterative testing and modification of a proposed object, tool, or process such that an optimal design can be achieved” ( MS-ETS1-4 ). How can geometry and algebra support testing and analysis? Let’s take a closer look at each dimension.

Engineering 52

Engineering Learning STEM Achievement 52

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 120

Computer Construction Calculus Mathematics 120

Stephen Wolfram

DECEMBER 11, 2023

But in observer theory what we want to do is just characterize the equivalencing that’s achieved. Sometimes then the crucial step of equivalencing different detailed inputs is achieved by simple “numerical aggregation”, most often by accumulation of objects (atoms, raindrops, etc.) or physical effects (forces, currents, etc.).

Physics 114

Physics Computer Mathematics Communications 114

Technology Tidbits

FEBRUARY 6, 2019

Cookie - A great site w/ lots of educational games for Elementary schools including Math. DragonBox - A excellent multi-platform site for teaching students Algebra in a fun and unique way by starting out using pictures instead of numbers. DimensionU - One of my favorite sites/program for K-12 for developing Math skills in all areas.

Math 28

Math Algebra Elementary Innovation 28

Stephen Wolfram

JANUARY 9, 2024

So many discoveries, so many inventions, so much achieved, so much learned. And key to everything we do is leveraging what we have already done—often taking what in earlier years was a pinnacle of technical achievement, and now using it as a routine building block to reach a level that could barely even be imagined before.

Computer 97

Computer Calculus Construction Accessibility 97

Stephen Wolfram

NOVEMBER 10, 2021

For example, we know (as I discovered in 2000) that (( b · c ) · a ) · ( b · (( b · a ) · b )) = a is the minimal axiom system for Boolean algebra , because FindEquationalProof finds a path that proves it. elementary updating events) in physical space.

Physics 117

Physics Mathematics Computer Construction 117

Stephen Wolfram

MAY 25, 2021

Instead, what happens is that the universe evolves by virtue of lots of elementary updating events happening throughout the network. How do we achieve this? Let’s say that we’re trying to achieve the objective of having an efficient transportation system for carrying people around. Last[#][[1]]], GrayLevel[0.5,

Mathematics 52

Mathematics Physics Computer Algebra 52

Stephen Wolfram

AUGUST 29, 2024

An idea that was someone’s great achievement had been buried and lost to the world. I’m particularly interested in how people develop through their lives—leading me recently, for example, to organize a 50-year reunion for my elementary school class.) And I’m then usually left with a strong sense of responsibility.

Physics 112

Physics Computer Biology Mathematics 112

Stephen Wolfram

SEPTEMBER 9, 2021

Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models. In physics, those “topological phenomena” presumably correspond to things like elementary particles , with all their various elaborate symmetries. It’s very much like in the emergence of physical space.

Physics 66

Physics Science Sciences Mathematics 66

Stephen Wolfram

SEPTEMBER 9, 2021

Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models. In physics, those “topological phenomena” presumably correspond to things like elementary particles , with all their various elaborate symmetries. It’s very much like in the emergence of physical space.

Science 60

Science Sciences Physics Mathematics 60

Stephen Wolfram

AUGUST 22, 2023

Ed was never officially a “test pilot”, but he told me stories about figuring out how to take his plane higher than anyone else—and achieving weightlessness by flying his plane in a perfect free-fall trajectory by maintaining an eraser floating in midair in front of him. Then McCarthy started to explain ways a computer could do algebra.

Computer 69

Computer Physics Science Sciences 69

Stephen Wolfram

MARCH 5, 2024

My first big success came in 1981 when I decided to try enumerating all possible rules of a certain kind (elementary cellular automata) and then ran them on a computer to see what they did: I’d assumed that with simple underlying rules, the final behavior would be correspondingly simple. But what happens with other paths?

Science 116

Science Sciences Computer Mathematics 116

ED Surge

APRIL 18, 2023

Maybe he walks his younger siblings to their elementary school each morning, demonstrating a knack for caregiving. They need to learn algebra and need to be excellent at reading comprehension.” Embracing Flexibility? Picture a high school student who balances his studies with a variety of other responsibilities and activities.

Learning 361

Learning Flexibility Schooling Competency-Based Learning 361

Stephen Wolfram

DECEMBER 13, 2021

Any integral of an algebraic function can in principle be done in terms of our general DifferentialRoot objects. there are now many integrals that could previously be done only in terms of special functions, but now give results in elementary functions. And a third of a century later—in Version 13.0—we’re it can: &#10005.

Construction 68

Construction Computer Physics Accessibility 68

ED Surge

DECEMBER 12, 2022

And like so much during the pandemic, the losses were worse for some communities, with achievement gaps having widened during the pandemic. billion in the hopes of closing achievement gaps in K-12 math education. In response, some big bets are being placed to intervene. Zearn also sees itself as outside the math wars' core issues. “I

Math 254

Math Algebra Calculus Achievement 254