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Stem Opportunities - High School 2019, Huey-Xian Kelly Wong, Madeleine Rauhauser, Annie Morgan Nelson
Stem Opportunities - High School 2019, Huey-Xian Kelly Wong, Madeleine Rauhauser, Annie Morgan Nelson
Honors Expanded Learning Clubs
This publication details the lesson plan for the “Opportunities in STEM” club for the summer of 2019. This club began out of a desire to educate high school students about the opportunities and careers available in the science, technology, engineering, and mathematics fields. Often, students feel that the prospect of entering a STEM field is daunting and out of their grasp. What it means to be a scientist is often unclear, and students never consider opportunities out of the fear of the unknown, particularly when science is associated with complexity and difficulty. This lesson plan integrates experiments with a wealth …
Course Portfolio For Math 872: Topology Ii, Alex Zupan
Course Portfolio For Math 872: Topology Ii, Alex Zupan
UNL Faculty Course Portfolios
In this course portfolio, I explore tactics for engaging a group of beginning mathematics graduate students taking the second semester of the first-year sequence in topology. Course objectives include computing algebraic invariants of topological spaces, understanding the Galois correspondence between covering spaces and fundamental groups, and using a range of invariants to distinguish spaces. My main instructional tools include a series of three "Activities" tailored to each student, a project involving computing invariants with the program SnapPy and using homology of covering spaces to distinguish 3-dimensional knots, and individual student board work during class periods. The activities served as benchmarks …
Math 314: Linear Algebra-A Peer Review Of Teaching Project Benchmark Portfolio, Xavier Pérez-Giménez
Math 314: Linear Algebra-A Peer Review Of Teaching Project Benchmark Portfolio, Xavier Pérez-Giménez
UNL Faculty Course Portfolios
My intention with this portfolio is to present my approach to teaching Math 314. This is a linear algebra course for senior-year undergraduate students in different STEM programs. The course serves as a transition from computational courses, such as calculus, to more theoretical ones, and exposes students, possibly for the first time, to abstract mathematical objects (such as general vector spaces) and simple proofs. Several lecture-based strategies are discussed and evaluated in connection with student learning outcomes. I also present samples of course materials and student work.