It's not just numbers: Journeys into exploratory and proof-based mathematics
SAT Score Range
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13 sessions
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AK
AC
RS
+23
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🔥 4 spots left!
This series is part of Schoolhouse Summer Camp! Explore Summer Camp
About
I believe everyone should be given a space to practice their proof-based math skills, since it teaches you to think logically on your feet, explore, and build/challenge arguments.
PREREQUISITES: This series is meant to be accessible to a broad audience. In reality, much of what we consider to be "college-level math" is completely reachable for students with just a basic proficiency with high school algebra. If any of these sessions require any more advanced prerequisites, I will say so in the description. If you don't have the background knowledge, I encourage you to attend anyway, but also feel free to ask for an excused absence.
Each session, we will explore a different topic in mathematics. These topics are likely unlike any math you've seen before. With this series, I hope to help expand your horizons of what math really is, outside of the classroom. Topics include, but are not limited to, set theory, combinatorics, graph theory, geometry, and more.
These sessions will be proof- and discussion-based, so I would like all participants to engage as much as they are comfortable with! I will provide the basic definitions, pose motivating questions, and provide hints as needed, but the exploration is entirely up to you.
I will add more sessions to this series as we go, so if you have any ideas for future sessions, please feel free to suggest them!
Also, if you're interested in this series but the current set time doesn't work for you, feel free to suggest a better time period that works for you, and if there's enough interest, I can see if I can switch times.
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✋ ATTENDANCE POLICY
Each session will be mostly independent from the others, so don't worry if you need to miss a few. However, if you do, please give me as much advance notice as possible.
SESSION 13
27
Sep
SESSION 13
Even More Math
Even More Math
Sat 9:00 AM - 10:30 AM UTCSep 27, 9:00 AM - 10:30 AM UTC
Title: What is a number?
In math, we frequently work with objects like integers, fractions, and real numbers, but we rarely stop to think about what these numbers actually are or how they are defined. In this session, we'll construct these numbers from the ground up, starting with empty sets and building up to the continuum of real numbers and beyond.
Because this session was scheduled very far ahead of time, the time is very tentative. If you would like to join for this session, please feel free to register for this series and express your time preference in the series group chat!