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# Group project information. Form **a group consisting of 4 members** (or 3~5), and each group will... (A) Make up a **worksheet** pertaining to your topic (with some introduction of your topic and some related problems. Much like the worksheets you have done so far in this class.) (B) Give a 10-15 minutes **presentation** where everyone gets to present. (But can go up to 20 min if you need to) **Worksheet**: Due week 6 Thursday. **Presentation**: On Week 6 Friday in class. The theme: **Mathematical show-and-tell.** Subtheme: Make it **fun** and **interesting**! It should be things you find fascinating, and teaching us something cool! The topics can be (1) **Research a mathematician or scientist and their work**, describe a specific piece of work mathematically that you can demonstrate to the class, and make up a related math problem that you can demonstrate and solve it with the class. Examples: - [[1 teaching/summer program 2023/week 1/Cosmic_distance_ladder|Eratosthenes and how he figured out the size of Earth]] - [[1 teaching/summer program 2023/puzzles-and-problems/keplers-third-law-and-power-law|Kepler's third law.]] (2) Or, **look up some data set that interests you**, analyze it using regressions models (linear, power, or exponential, or ???), demonstrate how you analyzed it (with python), give an interpretation, use it to predict things, and make up a related math problem that you can demonstrate and solve it with the class. Examples: - [[1 teaching/summer program 2023/puzzles-and-problems/logarithms|Blood alcohol content and how it is exponential from data people collected]] - The population of Chad. (3) Or, **make up an experiment that you can go physically gather**, analyze it, explain your result, and use it to predict things. And make up a related math problem that you can demonstrate and solve it with the class. Examples: - [[1 teaching/summer program 2023/puzzles-and-problems/chromatic-scale|The frequency of musical notes, finding out what the frequency of C0 is]] - [[1 teaching/summer program 2023/puzzles-and-problems/how-high-is-that-cloud|How high is that cloud]]. (4) Or, **design and create a mathematical puzzle / mystery**, where you can demonstrate to the class, and show us the mathematical principles behind it. And make up a related math problem that you can have us try. Examples. - [[1 teaching/summer program 2023/puzzles-and-problems/blind-coins-puzzle|Blind coins puzzle]] - [[1 teaching/summer program 2023/puzzles-and-problems/animals|Guessing the animal]] In general, there should be some (a) background information (b) a description of a mathematical/scientific problem (c) some analysis or explanation of the mathematics or data you gathered, and (d) creating a related math problem that you can solve with the class. Using computers with python is strongly encouraged! **For the worksheet**, have some basic introduction to your topic, and have some related math problems on it. Imagine you are making a worksheet for a future version of this class. You can then use it as a guide for your presentation, part of the presentation could be you solving some problems on your worksheet. **For the presentation**, if you like you can make a power point, a poster, or using the board to present (or combination of those). The length aim for 10~15 minutes, but this is not a hard limit, **as long as everyone gets to present something**. It is group work after all! Find something you all find interesting! Treat it like a mathematical show-and-tell, make it fun if you can! There is a lot of flexibility here. We will dedicate the last Friday of our program for this presentation, and we can use some of our class time for you to work together on this project.