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Giving marks that indicate progress

Robert Talbert, Ph.D.

This is the third installment of a series of posts focusing on the Four Pillars of Alternative Grading : The Four Pillars are a model that seeks to identify the elements that alternative forms of grading have in common elements whose primary goals are improving grading and making it focused on student growth.

Primary 52
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The Story Continues: Announcing Version 14 of Wolfram Language and Mathematica

Stephen Wolfram

The function Map takes a function f and “maps it” over a list: Comap does the “mathematically co-” version of this, taking a list of functions and “comapping” them onto a single argument: Why is this useful? But we wanted to be able to compute hundreds of different functions to arbitrary precision for any complex values of their arguments.

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The heart of the loop: Reattempts without penalty

Robert Talbert, Ph.D.

be the primary measure of success in a course, and some measure of grace and flexibility will be included along with high standards and "rigor" And for other instructors, this concept raises more questions than answers. For some instructors, it provides hope that student growth will (finally!) A misplaced trust in statistics.

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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. Back in 1987—as part of building Version 1.0

Science 115
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Even beyond Physics: Introducing Multicomputation as a Fourth General Paradigm for Theoretical Science

Stephen Wolfram

But then—basically starting in the early 1980s—there was a burst of progress based on a new idea (of which, yes, I seem to have ultimately been the primary initiator): the idea of using simple programs , rather than mathematical equations, as the basis for models of things in nature and elsewhere. One is so-called Böhm trees.

Physics 65
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Multicomputation: A Fourth Paradigm for Theoretical Science

Stephen Wolfram

But then—basically starting in the early 1980s—there was a burst of progress based on a new idea (of which, yes, I seem to have ultimately been the primary initiator): the idea of using simple programs , rather than mathematical equations, as the basis for models of things in nature and elsewhere. One is so-called Böhm trees.

Science 60
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Remembering the Improbable Life of Ed Fredkin (1934–2023) and His World of Ideas and Stories

Stephen Wolfram

Then McCarthy started to explain ways a computer could do algebra. It was all algebra. And the only conclusion we can arrive at is that a person can’t do this much algebra with the hope of getting it right.” Richard Feynman and I would get into very fierce arguments. And he says “There’s a problem. It’s just my nature.