article thumbnail

Don’t Give Up on Algebra: Let’s Shift the Focus to Instruction

National Science Foundation

Similarly, reformers have focused on the timing of the course, aiming to enroll students as early as possible to open pathways to calculus and to diversify access to higher level mathematics. Yet we have not seen equal advances in achievement (National Center for Education Statistics, 2019). 2017; Stein et al., Compared with what?

Algebra 76
article thumbnail

Why Choose a STEM Career?

CTE Learning

With STEM, customary gender roles are broken, and it gives way to equality in every possible way. Many designer prefer being freelancers as it allows them more flexibility to work and live where they want and to choose the projects and clients they want to work for. It isn’t just students that will benefit from STEM.

STEM 52
educators

Sign Up for our Newsletter

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

article thumbnail

Why Choose a STEM Career?

CTE Learning

With STEM, customary gender roles are broken, and it gives way to equality in every possible way. Many designer prefer being freelancers as it allows them more flexibility to work and live where they want and to choose the projects and clients they want to work for. It isn’t just students that will benefit from STEM.

STEM 52
article thumbnail

How Did We Get Here? The Tangled History of the Second Law of Thermodynamics

Stephen Wolfram

But he had a second hypothesis too—based, he said, on the ideas of “that most ingenious gentleman, Monsieur Descartes”: that instead air consists of “flexible particles” that are “so whirled around” that “each corpuscle endeavors to beat off all others”.

Energy 89
article thumbnail

The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics

Stephen Wolfram

In more explicit form we could write this as Equal [f[x_, y_], f[f[y_, x_],y_]] —where Equal ( ) has the “known meaning” of representing equality. and at t steps gives a total number of rules equal to: &#10005. which we can read as “there exists something a for which equals a ”. &#10005. &#10005.

article thumbnail

Computational Foundations for the Second Law of Thermodynamics

Stephen Wolfram

Once one has the idea of “equilibrium”, one can then start to think of its properties as purely being functions of certain parameters—and this opens up all sorts of calculus-based mathematical opportunities. That anything like this makes sense depends, however, yet again on “perfect randomness as far as the observer is concerned”.

article thumbnail

Launching Version 13.0 of Wolfram Language + Mathematica

Stephen Wolfram

When you do operations on Around numbers the “errors” are combined using a certain calculus of errors that’s effectively based on Gaussian distributions—and the results you get are always in some sense statistical. Also in the area of calculus we’ve added various conveniences to the handling of differential equations.