Cool Cat Teacher

NOVEMBER 25, 2022

In 2002, Jon received the Presidential Award for Excellence for Math and Science Teaching; and in 2010, he was a Semi-Finalist for Colorado Teacher of the Year. BE Again, the research has said that Mastery Learning works best with lower achieving students. Jon Bergmann - Bio as Submitted.

Learning 287

Learning Chemistry Competency-Based Learning Physics 287

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

At Vivify, we focus on the following definition of STEM: students apply math and science to solve an engineering problem using technology. Both the habits of mind and engineering practices are seen as core to achieving engineering literacy for all students. How can geometry and algebra support testing and analysis?

Engineering 52

Engineering Learning STEM Achievement 52

Stephen Wolfram

MARCH 7, 2022

How Math Relates to Humans. 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. 27 Invented or Discovered?

Mathematics 120

Mathematics Physics Computer Algebra 120

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

ED Surge

NOVEMBER 7, 2023

The most problematic strategy that many students try instead, he argues, is what he calls “mimicking,” which he has especially found in the math classes he studies. These are the students who end up hitting a wall when math courses move from easier algebra to more advanced concepts in, say, calculus, he argues.

Research 354

Research Research Teaching Calculus 354

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. But there is a subtlety here.

Mathematics 53

Mathematics Physics Computer Algebra 53

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 67

Construction Computer Physics Accessibility 67

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 68

Computer Physics Science Sciences 68

Stephen Wolfram

JUNE 28, 2023

And in Mathematica and the Wolfram Language that’s achieved with Integrate. we’ve finally finished doing the math and creating the algorithms to introduce AppellF2 , AppellF3 and AppellF4. And over the years that’s exactly what we’ve achieved—for integrals, sums, differential equations, etc. And already in Version 4.0

Computer 118

Computer Calculus Construction Mathematics 118

Stephen Wolfram

MARCH 5, 2024

But in a sense the ultimate reason that “math is hard” is that we’re constantly seeing evidence of computational irreducibility: we can’t get around actually having to compute things. In 2000 I was interested in what the simplest possible axiom system for logic (Boolean algebra) might be. But what happens with other paths?

Science 122

Science Sciences Computer Mathematics 122

ED Surge

DECEMBER 12, 2022

During the pandemic, anxieties about math instruction have grown. Fueling them is the most recent results from the National Assessment of Educational Progress (NAEP), which showed historical losses in math education. Falling behind in math can have long term consequences, since the subject can function as a gateway into STEM careers.

Math 250

Math Algebra Calculus Achievement 250