Robert Talbert, Ph.D.

MAY 19, 2023

This is especially important if you’re writing an article involving multiple sources, or asking one source to critique the arguments of another: It’s quite likely that they aren’t talking about the same thing. Why would an instructor use ungrading? I will speak for myself here.

Publication 73

Publication Communications Construction Academic Standards 73

Robert Talbert, Ph.D.

MARCH 30, 2022

Last semester, when I learned I would be teaching Modern Algebra a third-year level course on number theory, rings, and fields in January, I knew I wanted to make some changes to how I'd taught it in the past. I wrote about that in my previous post. One of the changes I decided to make was to make a full-throated leap into ungrading.

Mathematics 52

Mathematics Argumentation Algebra Communications 52

Robert Talbert, Ph.D.

APRIL 15, 2022

An argument for traditional grading goes like this: Sure, a single assessment might have a grade on it that doesn't accurately reflect student understanding. Nobody likes traditional grading because it is so soul-sucking and time-consuming, so why do it more often than necessary? This has a connection with the next point.

Academic Standards 52

Academic Standards Communications Calculus Argumentation 52

Robert Talbert, Ph.D.

APRIL 1, 2022

In fact because of Butler and Nisan, there is a good argument to be made for decoupling marks from feedback and then throwing out the marks, basing the course grade just on feedback, student portfolios, and self-evaluations. So interpret the third pillar as If you give marks at all, they should indicate progress.

Primary 52

Primary Mathematics Argumentation Algebra 52

ED Surge

NOVEMBER 7, 2023

That’s the argument of Peter Liljedahl, a professor of mathematics education at Simon Fraser University in Vancouver, who has spent years researching what works in teaching. 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. “At

Research 352

Research Research Teaching Calculus 352

Stephen Wolfram

JUNE 28, 2023

And, yes, when you try to run the function, it’ll notice it doesn’t have correct arguments and options specified. But what if we ask a question where the answer is some algebraic expression? Here’s an example: We’ve got an argument n that’s declared as being of type MachineInteger. And now in Version 13.3

Computer 118

Computer Calculus Construction Mathematics 118

Magic EdTech

MAY 13, 2022

In language arts, students can create two contrasting media messages that employ persuasive techniques to capture opposing sides of an issue, instead of just examining the impact of persuasive techniques in a formal argument. The curriculum for algebra classes, for example, will move at a faster and more efficient pace.

Curriculum 52

Curriculum Argumentation Algebra Personalized Learning 52

Stephen Wolfram

SEPTEMBER 9, 2021

Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. The systems can be based on Boolean algebra, database updating or other kinds of ultimately computational rules. At the level of individual events, ideas from the theory and practice of computation are useful.

Physics 65

Physics Science Sciences Mathematics 65

Stephen Wolfram

SEPTEMBER 9, 2021

Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. The systems can be based on Boolean algebra, database updating or other kinds of ultimately computational rules. At the level of individual events, ideas from the theory and practice of computation are useful.

Science 64

Science Sciences Physics Mathematics 64

Stephen Wolfram

AUGUST 22, 2023

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.

Computer 68

Computer Physics Science Sciences 68

Stephen Wolfram

JANUARY 9, 2024

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.

Computer 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

MARCH 5, 2024

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 122

Science Sciences Computer Mathematics 122

Stephen Wolfram

MAY 20, 2021

we’re connecting to “Descartes-style” analytic geometry, converting geometric descriptions to algebraic formulas. Given three symbolically specified points, GeometricTest can give the algebraic condition for them to be collinear: &#10005. Tree takes two arguments: a “payload” (which can be any expression), and a list of subtrees.

Computer 52

Computer Construction Physics Technology 52

Stephen Wolfram

MAY 17, 2021

In the basic definition of a standard cellular automaton, the rule “takes its arguments” in a definite order. But what kind of integro-differential-algebraic equation can reproduce the time evolution isn’t clear. RandomGraph[{20, 40}, EdgeStyle -> Gray, VertexStyle -> Table[i -> (RandomInteger[] /. {0

Computer 52

Computer Achievement Mathematics Physics 52

Stephen Wolfram

NOVEMBER 10, 2021

For example, we know (as I discovered in 2000) that (( b · c ) · a ) · ( b · (( b · a ) · b )) = a is the minimal axiom system for Boolean algebra , because FindEquationalProof finds a path that proves it. And we can trace the argument for this to the Principle of Computational Equivalence.

Physics 122

Physics Mathematics Computer Construction 122