These teaching materials were were developed in close collaboration with high-school teachers. The materials are self-contained modules that can be used in high school curriculum. The generous support of the National Science Foundation DMS-1845406 made these modules possible. If you do use them in your classes, I'd love to hear about your experience! Please send me an email at asaibab AT ncsu DOT edu.
The mathematics of ranking
In this module, students will engage in activities that apply their knowledge of matrices to the study of ranking. Specifically, students will study Colley’s Method of Ranking in various contexts and apply it to a problem that they design in a culminating assignment. The module begins with lessons on elementary matrix operations and then continues with an introduction to the Method through a lesson plan, guided notes, and a problem set. The lesson is followed by a class activity to collect data and apply Colley’s Method to that data. The module concludes with a group project in which students work with real-world data to apply their knowledge and communicate their understanding in writing.
In this all-inclusive module students will learn how to use matrices and vectors to manipulate and edit images. The students will be provided with their own image editing activity where they will create their own classroom "Instagram feed." There is also an extension activity that incorporates some basic Python programming into this module.
X-Ray Imaging, Mathematics, and Puzzles
In this module, students will learn about x-ray imaging and how mathematics plays a role in generating the images that we obtain using x-ray devices. First, students will be given lessons on matrix operations including adding, multiplying, and Gaussian Elimination. Students will participate in several games/puzzles such as Kakuro and Nonograms. The strategy used in these games parallel the mathematical techniques used in generating images from x-ray devices. The students will read an article that ties x-ray imaging to mathematics and participate in a discussion.