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Notification Bot (Jul 21 2022 at 17:40):Public stream created by xavier (mathematical artist). Description:
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xavier (mathematical artist) (Jul 21 2022 at 17:48):The purpose of this stream is to use ideas from category theory and what I call "category-theory-adjacent" modes of thinking and reasoning in order to blend insights from various aspects of psychology, metaphysics, ontology, and so forth such that we can develop/modify modern education programs for K-12 (at least).
A main activity would involve formalizing a conceptual space that is capable of exploring and extracting insights from various approaches to education, cognitive and developmental psychological models, reality representation, and so forth. Another would be to develop and socialize curricula to pragmatically share this with normal people, teachers, and of course children and students.
xavier (mathematical artist) (Jul 21 2022 at 17:50):I have more to say about this, but I would like to see who is interested first. Please let me know your thoughts about what has been stated thus far.
Ralph Sarkis (Jul 21 2022 at 22:56):In case you are not aware of this, NGSS are undertaking a similar project for K-12 science. I found several ideas there to be sensible (I won't be more assertive because I have no background in teaching), so one could get inspired by their ideas and execution.
xavier (mathematical artist) (Jul 22 2022 at 19:06):Ralph Sarkis said:
In case you are not aware of this, NGSS are undertaking a similar project for K-12 science. I found several ideas there to be sensible (I won't be more assertive because I have no background in teaching), so one could get inspired by their ideas and execution.
I have given it a quick look. There could indeed be things to take from this as inspiration.
Ellis D. Cooper (Jul 23 2022 at 12:03):Hi xavier - many thanks for alerting me to this thread. (I saw you listed at ACT 2022, and recall that we first "met" at ACT 2020.) I have taught geometry, algebra, and workshop courses at the high school level, but now for several years I have been an adjunct instructor of undergraduate statistics, mainly at Endicott College, North Shore, MA. My real, urgent focus is on writing an algebraic and category-theoretic exploration of anti-reductionism. The working title is "Life: Microlects and Mathematics". If you like I can supply a rough draft for review as an attachment. (For the record, I might call myself an artistic mathematician.)
xavier (mathematical artist) (Jul 23 2022 at 15:31):Ellis D. Cooper said:
My real, urgent focus is on writing an algebraic and category-theoretic exploration of anti-reductionism. The working title is "Life: Microlects and Mathematics". If you like I can supply a rough draft for review as an attachment. (For the record, I might call myself an artistic mathematician.)
I welcome it and look forward to reading it.
xavier (mathematical artist) (Jul 30 2022 at 16:40):This is an area of active applied outreach, so anyone who is interested is encouraged to speak up. We do need to educate our children and youth today.
xavier (mathematical artist) (Aug 08 2022 at 00:49):“If we group cherries and meat together under the attributes red, juicy and edible, we do not thereby attain a valid logical concept but a meaningless combinations of words, quite useless for the comprehension of the particular cases.”
—Cassirer (1910)
This situation just described can be referred to as a “conceptual chimera.” Logically, it makes sense to be able to combine information in this way yet in practice it is meaningless. Distinguishing between well-formed concepts and meaningless concepts is the task of the type of conceptual-space-formalizing activity which would be a key focus of this effort as well as pragmatically applying it such that the effort has immediate utility to society.
xavier (mathematical artist) (Aug 15 2022 at 00:56):Ideas are one thing. Action is another. Is anyone interested in taking action with me? Applied applied.
Notification Bot (Oct 20 2023 at 15:16):Nathanael Arkor changed the access permissions for this stream from Public to Web-public.
Notification Bot (Oct 31 2023 at 11:14):Matteo Capucci (he/him) changed the posting permissions for this stream:
Notification Bot (Oct 31 2023 at 11:14):Matteo Capucci (he/him) changed the description for this stream.
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Deprecated, use #practice: communication instead.
Notification Bot (Oct 31 2023 at 11:14):Matteo Capucci (he/him) renamed stream practice: education to deprecated: education.