Now that BEAM Discovery has finished its third summer, we are excited to share curriculum and resources with the wider community. This winter, we will be releasing the first set of course materials, based on the class “Truth, Lies, and Logic” from our Logical Reasoning track. A second course will follow in the early spring. The courses will be posted free online for use by school clubs and other enrichment programs nationwide. They will also be used by faculty new to BEAM to get a clear sense of what a great BEAM course entails.

Learn more about working for BEAM in the summer by clicking here:

Philosophy

The goal of this project is to design curriculum for BEAM 6, which is the introductory program to BEAM for the summer after 6th grade. BEAM 6 is a five-week nonresidential program introducing mathematical reasoning, with four key topic threads:

·         Logical Reasoning, which develops reasoning skills through puzzles and games;

·         Math Team Strategies, which focuses on innovative problems requiring creative approaches;

·         Math Fundamentals, which reinterprets math from school through a lens of “why does this work?”; and

·         Applied Math, which shows how math is really used by professionals such as programmers, astronomers, data scientists, and biologists.

Our goal is to create a vibrant mathematical community with learning centered around beautiful and engaging mathematics, and to provide a taste of the kind of math students will do at BEAM 7, which dives deeper into proof-based mathematics.

Our BEAM 6 programs are by far our largest; they are an opportunity for students to try out our approach (to see if they like it), and for us to see how students do when really exposed to challenging math. In this way, we’re able to give many more students access to interesting math, and we can also base our later admissions on a full summer getting to know students (instead of a single test). Roughly 40% of BEAM 6 students will be admitted into BEAM 7 (and then automatically into later programs).

Because BEAM 6 is students’ first exposure to BEAM, it is critical that they have a positive experience and learn a lot of math. Moreover, compounding the fact that BEAM 6 is larger (and thus needs more faculty), BEAM 7 is residential (and hence can hire nationally) but BEAM 6 is non-residential and generally hires locally. Thus, our greatest curriculum need is for BEAM 6.

General notes to make: OMT references?

Truth, Lies, and Logic

This class is intended as part of the Logical Reasoning track at BEAM Discovery.

Lesson plans developed by Halimeda Glickman-Hoch based on a class she taught at BEAM Discovery in 2018 and taught by Daniel Zaharopol at BEAM Discovery 2017.

These plans are released by Bridge to Enter Advanced Mathematics under the Creative Commons Attribution Non-Commerical Share Alike license. You may use these lesson plans freely for non-commercial purposes as long as you attribute BEAM. If you release an edited version, you may not release it with a more restrictive license.