Argumentation Calculus Mathematics Sciences 
National Science Foundation
SEPTEMBER 22, 2021
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. Berry & Larson, 2019; Levitt, 2019).
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.
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Stephen Wolfram
MARCH 7, 2022
1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 3 The Metamodeling of Axiomatic Mathematics. 4 Simple Examples with Mathematical Interpretations. 15 Axiom Systems of Present-Day Mathematics. 21 What Can Human Mathematics Be Like? Graphical Key.
Stephen Wolfram
JANUARY 31, 2023
But by the end of the 1800s, with the existence of molecules increasingly firmly established, the Second Law began to often be treated as an almost-mathematically-proven necessary law of physics. There were still mathematical loose ends, as well as issues such as its application to living systems and to systems involving gravity.
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.
Stephen Wolfram
JANUARY 9, 2024
And in the past few months we’ve been steadily adding connections to the full range of popular LLMs, making Wolfram Language a unique hub not only for LLM usage, but also for studying the performance—and science—of LLMs. So did that mean we were “finished” with calculus? And in Version 14 there are significant advances around calculus.
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.
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