What are some applications of sets & relations in science/business/tech that a highschooler can understand? To kindle a young mind, what examples can be given?

Tia English 2022-10-02 Answered
What are some applications of sets & relations in science/business/tech that a highschooler can understand? To kindle a young mind, what examples can be given?
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Answers (1)

Jaylyn George
Answered 2022-10-03 Author has 6 answers
Well, I would not say there are none, but it is understandably naive to expect that there are going to be direct applications which the «young mind» will be able to understand. From such a basic notion as «sets and relations» to an actual real life application there are layers and layers of abstraction, of concrete application of abstract ideas, and what not. To pick a random example from an answer below, it is rather silly to say that digital electronics is an application of sets and relations—like saying that the Golden Gate bridge is an example of the applications of water, which was though surely involved in many ways in the construction of the bridge.
Sets and relations are part of the background on which modern mathematics is built, and as such takes part in essentially everything we do. So if you want examples point to your cellular phone, to the traffic lights, to the search box in eBay, to the stock market, to a satellite, &c.
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i'm seeking out thoughts for a 15-hour mathematical enrichment course in a chinese language high faculty. What (pretty) simple concern would you advocate as a subject for any such course?
historical past/issues:
My students are generally pretty good at math, but many of them have no longer been uncovered to rigorous or summary mathematical reasoning. an amazing topic would be one that could not be impossibly hard for students who have by no means written or study proofs in English.
i have taught this magnificence three times earlier than. (a part of the purpose that i'm posting that is that i have used up all my thoughts!) the primary semester I taught an introductory range theory elegance (which meandered its way toward a proof of quadratic reciprocity, though I think this become in the end too advanced/abstract for some of the students). the second one semester I taught fundamental graph idea and packages (with a focal point on planarity and coloring). The 1/3 semester I taught a class at the Rubik's dice.
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So, any ideas? preferably, i'd like to find some thing a bit "sexy" (like the Rubik's cube) -- tries to encourage wide variety theory through cryptography seemed to fall on deaf ears, however being capable of "see" institution idea on the cube became pretty popular.
(Responses specifically welcome from folks who grew up in the percent -- any mathematical subjects you desire were protected within the excessive college curriculum?)