Remove Achievement Remove Algebra Remove Argumentation Remove Flexibility
article thumbnail

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

National Science Foundation

In its current form, school algebra serves as a gatekeeper to higher-level mathematics. Researchers and policy makers have pushed to open that gate—providing more students access to algebra, focusing in particular on those students historically denied access to higher-level mathematics. Let’s Not Be So Quick to Give Up on Algebra.

Algebra 76
article thumbnail

Let’s Talk About Habits of Mind

Ask a Tech Teacher

In the face of mounting evidence, education experts accepted a prescriptive fact: student success is not measured by milestones like ‘took a foreign language in fifth grade’ or ‘passed Algebra in high school’ but by how s/he thinks. Thinking Flexibly. Thinking Flexibly. Managing impulsivity. Persisting.

educators

Sign Up for our Newsletter

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

article thumbnail

Academic Enrichment: Supporting Student Success

Magic EdTech

When confronted with real-world math problems with multiple answers, students will be able to think more creatively and flexibly. The curriculum for algebra classes, for example, will move at a faster and more efficient pace. How Can Academic Enrichment Boost Student Success? Enriched Knowledge.

article thumbnail

The Story Continues: Announcing Version 14 of Wolfram Language and Mathematica

Stephen Wolfram

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 102
article thumbnail

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

Stephen Wolfram

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 ?

article thumbnail

Can AI Solve Science?

Stephen Wolfram

In 2000 I was interested in what the simplest possible axiom system for logic (Boolean algebra) might be. of what’s now Wolfram Language —we were trying to develop algorithms to compute hundreds of mathematical special functions over very broad ranges of arguments. Yes, there can be a lot of flexibility in this model.

Science 122
article thumbnail

Even beyond Physics: Introducing Multicomputation as a Fourth General Paradigm for Theoretical Science

Stephen Wolfram

Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models. Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. But there is something else too—and it’s from this that the full computational paradigm emerges.

Physics 65