Girls Math Night: Difference between revisions
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'''What is it?''' | '''What is it?''' Girls' Math Night is a free math enrichment program for high school students that has been run by the Department of Mathematics for more than 17 years. We run two 10-week sessions per year coinciding with the fall and spring semesters. During a session, graduate students work with individuals or small groups of high school students on projects outside of the usual high school math curriculum. | ||
'''Why be a mentor?''' | '''Why be a mentor?''' | ||
'''When? Where?''' | '''When? Where?''' Meetings can be in-person or virtual, depending on the needs of the mentor and students. Each Girls’ Math Night session culminates in a presentation night hosted at Van Vleck. | ||
Meetings can be in-person or virtual, depending on the needs of the mentor and students. | |||
'''Graduate Organizers:''' Bella Finkel | '''Graduate Organizers:''' Bella Finkel | ||
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=== Topics === | === Topics === | ||
''' | '''Quaternions''' What are they, and why do we care about them? For that matter, why do engineers care about them? As a starting point, check out [https://eater.net/quaternions this interactive lesson] by 3b1b. | ||
''' | '''Trace and Determinant''' How can they be defined, and why are these ways the same? What properties do they have? How do we make sense of them geometrically? | ||
'''Non-Euclidean Geometries''' | '''Non-Euclidean Geometries''' | ||
'''Parking Functions''' | '''Parking Functions''' What are they, and what do they make you wonder? | ||
[https://www.girlsangle.org/page/bulletin-archive/GABv14n02E.pdf Honk! Honk!: An Introduction to Parking Functions, Part 1] | [https://www.girlsangle.org/page/bulletin-archive/GABv14n02E.pdf Honk! Honk!: An Introduction to Parking Functions, Part 1] (on page 15) | ||
[https://www.girlsangle.org/page/bulletin-archive/GABv14n03E.pdf Honk!: An Introduction to Parking Functions, Part 2] | [https://www.girlsangle.org/page/bulletin-archive/GABv14n03E.pdf Honk! Honk!: An Introduction to Parking Functions, Part 2] (on page 14) | ||
'''Sunzi's Theorem (The Chinese Remainder Theorem)''' | '''Sunzi's Theorem (The Chinese Remainder Theorem)''' | ||
=== | === Textbooks === | ||
[https://link.springer.com/book/10.1007/978-1-4757-1645-0 Naive Set Theory] by Paul Halmos | [https://link.springer.com/book/10.1007/978-1-4757-1645-0 Naive Set Theory] by Paul Halmos | ||
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''[https://search.library.wisc.edu/catalog/9912212362702121 Matrix Groups for Undergraduates]'' by Kristopher Tapp (Suitable for students who have taken linear algebra and a proof-based mathematics course) | ''[https://search.library.wisc.edu/catalog/9912212362702121 Matrix Groups for Undergraduates]'' by Kristopher Tapp (Suitable for students who have taken linear algebra and a proof-based mathematics course) | ||
=== Other Inspiration === | |||
The [https://www.3blue1brown.com/ 3blue1brown website] has interactive lessons in video and text form. | |||
Ivan's Stochastic Paradox | |||
== Past Projects == | == Past Projects == | ||
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Dr. Gloria Marí-Beffa, Associate Dean for Research | Dr. Gloria Marí-Beffa, Associate Dean for Research | ||
== Acknowledgements == | |||
== Other Opportunities for Pre-college Mentorship, Outreach, and Teaching == | |||
[https://www.beammath.org/ BEAM] | |||
[https://clubesdeciencia.mx/en/ Clubes de Ciencia] | |||
Latest revision as of 03:53, 24 January 2025
What is it? Girls' Math Night is a free math enrichment program for high school students that has been run by the Department of Mathematics for more than 17 years. We run two 10-week sessions per year coinciding with the fall and spring semesters. During a session, graduate students work with individuals or small groups of high school students on projects outside of the usual high school math curriculum.
Why be a mentor?
When? Where? Meetings can be in-person or virtual, depending on the needs of the mentor and students. Each Girls’ Math Night session culminates in a presentation night hosted at Van Vleck.
Graduate Organizers: Bella Finkel
Faculty Organizers: Tullia Dymarz
Topics and Resources
Topics
Quaternions What are they, and why do we care about them? For that matter, why do engineers care about them? As a starting point, check out this interactive lesson by 3b1b.
Trace and Determinant How can they be defined, and why are these ways the same? What properties do they have? How do we make sense of them geometrically?
Non-Euclidean Geometries
Parking Functions What are they, and what do they make you wonder?
Honk! Honk!: An Introduction to Parking Functions, Part 1 (on page 15)
Honk! Honk!: An Introduction to Parking Functions, Part 2 (on page 14)
Sunzi's Theorem (The Chinese Remainder Theorem)
Textbooks
Naive Set Theory by Paul Halmos
Mathematics and its History by John Stillwell (This is a versatile book. Some chapters are appropriate for students at all levels, most are suitable for students who have taken calculus, and a few at the end are ideal for students who have seen some group theory.)
Linear Algebra Done Right by Sheldon Axler (Most suitable for students who have taken linear algebra)
Most suitable for students with prior exposure to proof-based mathematics:
Primes of the Form x^2+ny^2 : Fermat, Class Field Theory, and Complex Multiplication by David A. Cox
Matrix Groups for Undergraduates by Kristopher Tapp (Suitable for students who have taken linear algebra and a proof-based mathematics course)
Other Inspiration
The 3blue1brown website has interactive lessons in video and text form.
Ivan's Stochastic Paradox
Past Projects
Fermat’s Little Theorem: Proof Using “Necklaces”
Matrix Groups and Applications
Administrative Resources and Contacts
Erin Bailey, Associate Director of Community Engaged Research in the College of Letters and Science
Dr. Gloria Marí-Beffa, Associate Dean for Research