Riverbend Research Teams
Our Research Teams meet online, and are designed for older students
who want to take a deep dive into a single topic, learn the LaTeX language
in which most math papers and books are published, and improve their
mathematical writing skills. Exceptional amounts of focus, determination,
and patience are required, and we assume that participants are familiar
with the content of Algebra 1. If you are interesting in joining, contact
Amanda Serenevy directly at firstname.lastname@example.org
Typical Ages: middle and high school students
Investigations from past Research Teams
- Smarties Sandwiches
- What is the probability of getting a "sandwichable" roll of Smarties candies?
- Exploding and Collapsing Boxes
- We have heard of base ten, base two, and base sixteen, but is it
possible to make sense of base three halves?
- Three-sided Cylindrical Dice
- How can we construct a fair three-sided cylindrical die?
- For example, a "short" cylinder will almost always land on one of the
ends and rarely on the side. A tall cylinder will almost always land on its
side and rarely on an end. How should we construct the die so that if we
label the ends with "1" and "2" and the side with "3" each number will have
an equal chance of coming up?
- Emptying the Atlantic Ocean with a Thimble
- How many thimbles of water would it take to empty the Atlantic Ocean?
- Extension of James Tanton's Intersection Math Problem
- We extended James Tanton's Intersection Math Problem counting the intersections of a bipartite graph to a tripartite graph.