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#mathematics

38 posts32 participants3 posts today
Public
the roamer

After three days of hard thinking, writing, and dreaming, I saw the obvious solution.

Oh my, I felt, John von Neumann would have seen this within seconds.

OK, my better self said, not to worry.

Johnny's no longer around and if he were, he'd have other things to do, things you certainly can't do.

Do your own thing, and do it well. Don't worry about Johnny.

#JohnVNeumann#mathematics#humility
Public
Doug Bostrom

Maybe something about plasticity at a young age? The authors do not speculate. Overall the article is exemplary of scrupulous exposure of caveats.

"In particular, interventions in grade 2 tend to persist, while eighth-grade interventions tend to fade out in the medium term."

#pedagogy
#mathematics

link.springer.com/article/10.1

SpringerLinkA tailored small group instruction intervention in mathematics benefits low achievers - npj Science of LearningRunning two separate two-stage randomized trials, we implement and test three variants of a small group instruction intervention aimed at improving mathematics competencies for the 20% lowest achievers in mathematics in grades 2 and 8 in Danish public schools. We calculate immediate impacts on math competencies as well as impacts in the medium term and conduct cost-effectiveness analyses of the different intervention arms. The context is the Scandinavian welfare state with an already high-quality public school system. Nevertheless, we find very large positive and cost-effective impacts of several intervention variants, some of which persist in the medium term. In particular, interventions in grade 2 tend to persist, while eighth-grade interventions tend to fade out in the medium term.
Public
Paysages Mathématiques

"The mystery as well as the glory of mathematics lies not so much in the fact that abstract theories turn out to be useful in solving problems but in the fact that – wonder of wonders – a theory meant for one type of problem is often the only way of solving problems of entirely different kinds, problems for which the theory was not intended. These coincidences occur so frequently that they must belong to the essence of mathematics." – Gian-Carlo Rota (1932-1999)
#quote #mathematics #math #maths

Photographic portrait of Gian-Carlo Rota, and a quote : "The mystery as well as the glory of mathematics lies not so much in the fact that abstract theories turn out to be useful in solving problems but in the fact that – wonder of wonders – a theory meant for one type of problem is often the only way of solving problems of entirely different kinds, problems for which the theory was not intended. These coincidences occur so frequently that they must belong to the essence of mathematics."
Public
Suat Ayöz

I'll be posting the questions from AMS 2025 Daily Epsilon of Math Calendar daily from now on. I should have started earlier (doing it on Blue sky for some time). Hope it will be of interest

Here's the question for April 20th. For those unfamiliar with the calendar, the answer is always the day of the month. Looking for imaginative solutions is the aim.

20 Find the largest area that can be formed by a rectangle with side lengths that are integers and with perimeter 18.
#mathstodon#math#maths
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