Hi Jillian:
Sure, but I'd better limit myself to just a couple of examples. :)
Population growth: using Desmos for non-linear regression, students can fit population data to the logistic growth model, with or without exploring the derivation of the model from mathematical principles. This approach can generate discussions about factors that affect population growth, which can veer into all kinds of interesting disciplines (economics, gender roles, political policies regarding families). AI can help with surface-level explorations, but we can also ask questions of students like, "Where is the population of China on this curve?" or "What role should we give to experts who predict the population growth of our own region?" In my opinion, there are significant benefits to bringing students (and teachers) into a bigger discussion of the role of math in the decision-making process of society.
(If you are feeling adventurous, you can do logistic growth models for Covid-19, with all the issues involved.)
Energy production: using real-life data sets, students can find the correlation and regression of daily measures of wind gusts and air pressure. The linear equation gives us information about the relation of weather patterns to the amount of wind. Discussing these implications can lead to questions about the production of wind energy, especially in your local area. What are the factors determining wind farm economic viability where you live? There's plenty of math to do, and a lot of social implications. Once again, AI can help with this type of investigation.
I think it's clear that these types of issues can be made personally applicable to our students, and to their future selves. And there are connections between the behavior of the numbers in the formulas, and the social implications of the relationships.
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Rick Powers
Instructor
Western Technical College
La Crosse WI
powersr@westerntc.edu------------------------------
Original Message:
Sent: 06-07-2024 11:50:48
From: Jillian Miller
Subject: IMPACTFUL Discussions: (How) Do you help students understand the interdisciplinary world in which we live?
Hey Rick!
Thank you for sharing your resources! I can't wait to see what you share in Atlanta!
I also appreciate that you noted how we can use the technology in our favor in this area! There is A LOT of debate about AI at the moment but it has the potential to be a valuable resource. (That said, I do also understand the concerns that many faculty have.) Can you share in a bit more detail how you use technology (AI or not) to support your drive for change?
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Jillian Miller
Assistant Professor of Mathematics
Roane State CC
Harriman TN
Original Message:
Sent: 06-04-2024 09:01:06
From: Rick Powers
Subject: IMPACTFUL Discussions: (How) Do you help students understand the interdisciplinary world in which we live?
Hi Jillian:
Thanks much for this post.
In my opinion, yes!!! (In fact, I'm going to be giving a presentation on this very topic at AMATYC in Atlanta.)
We live in a world of human experience that requires skill, knowledge, and emotional intelligence that touches every discipline. So I believe our math education should reflect that reality. We will be better at engaging students in their cultural spaces, and we can lead them on an exciting journeys of discovery.
And we must continue to celebrate the abstract beauty of mathematics, as well! Just one example: the symmetry of the parabola can be connected to artistic experience, as well as the change in income as we age, and projectile motion. These are all connected to the balance of how the curve changes in a way that mathematics can explain.
Statistics is vitally connected to this: using mathematical tools to guide decision-making based on measurement, in all disciplines.
In all of this, the rise of technology can be of great help to us, if we are able to channel its power into educational outcomes. We can apply our tools to show the impact of mathematics on questions of social justice, health care solutions, scientific advancement, political understanding -- all disciplines -- since a lot of the messiness of application is smoothed out by using technology.
Here's a link to my Google Drive folder of assignments that I use in Quantitative Reasoning, to give you some examples of how I seek to connect math in different areas: https://drive.google.com/drive/folders/1D8ULSi1bK3LB0o9HOD8K10bBuu_fw0zS?usp=sharing
Thanks again for your post!
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Rick Powers
Instructor
Western Technical College
La Crosse WI
powersr@westerntc.edu
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