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 Happy New Year 2016!
 Girls’ Angle Bulletin, Volume 9, Number 2
 Girls’ Angle Bulletin, Volume 9, Number 1
 Girls’ Angle BacktoSchool Puzzle Raffle
 Girls’ Angle Bulletin, Volume 8, Number 6
 Origamiinspired Proof of the Pythagorean Theorem
 Girls’ Angle Bulletin, Volume 8, Number 5
 Conceptual Solution to 2008 AIME I, Problem 14
 Girls’ Angle Bulletin, Volume 8, Number 4
 Snowball Problems Melted
 Girl Scouts STEM Expo crossword raffle
 Girls’ Angle Bulletin, Volume 8, Number 3
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Girls’ Angle Bulletin, Volume 9, Number 2
The electronic version of the latest issue of the Girls’ Angle Bulletin is now available on our website.
Volume 9, Number 2 begins with the first half of an interview with French mathematician Alice Guionnet. Prof. Guionnet is a professor of mathematics at MIT and an expert on random matrices.
In addition to the interview, there are 2 more articles in this issue that pertain to probability and statistics. One is the concluding half of Prof. Elizabeth Meckes articles on the laws of probability. This time, she pulls up the curtain on the central limit theorem. The other is this issue’s Math In Your World, which describes an activity led by Girls’ Angle Support Network visitor Jinger Zhao. Jinger is a financial modeler who works at TwoSigma, a hedge fund based in New York City. At the club, Jinger uses statistics to model the connection between wingspan and height.
Anna continues her investigation of irreducible polynomials over the finite field with 2 elements. In this installment, she works out the roots of all the irreducible polynomials of degrees 4 and 5. Anna’s entire investigation traces back to an exercise suggested by Prof. Judy Walker in her interview from Volume 8, Number 6. Do you think you can see where Anna might be headed? If you do, follow your thoughts and see where they lead. You’re invited to tell us about it; we’d love to hear from you. If you’re falling in love with polynomials over , check out this proposal for a new PolyMath project and the comments that follow.
Multiplication and exponentials are fundamental concepts in mathematics. For anyone working on learning these concepts, we hope Addie Summer’s Thoughts on Multiplication and our Learn by Doing on exponentials will be of use. The cover, which was created using MATLAB by MathWorks, honors multiplication.
Emily and Jasmine continue their quest for “nice” triangles. This time, they explore integersided triangles that have a 120 degree angle and establish a beautiful bridge between these and integersided triangles with a 60 degree angle.
We conclude with some notes from the club. If you’re a girl, aged roughly 1018 in the Greater Boston Area, you’re welcome to join. Our next session begins January 28, 2016.
We hope you enjoy the Bulletin!
Finally, a reminder: when you subscribe to the Girls’ Angle Bulletin, you’re not just getting a subscription to a magazine. You are also gaining access to the Girls’ Angle mentors. We urge all subscribers and members to write us with your math questions or anything else in the Bulletin or having to do with mathematics in general. We will respond. We want you to get active and do mathematics. Parts of the Bulletin are written to induce you to wonder and respond with more questions. Don’t let those questions fade away and become forgotten. Send them to us!
We continue to encourage people to subscribe to our print version, so we have removed some content from the electronic version. Subscriptions are a great way to support Girls’ Angle while getting something concrete back in return. We hope you subscribe!
Girls’ Angle BacktoSchool Puzzle Raffle
Katherine and Serena Visit the Museum
(Added October 1, 2015: This raffle is now closed. Thank you to all who entered. Congratulations to Fran M. who won the general draw and Iris L. who won the member draw!)
Can you reconstruct Serena and Katherine’s path through the museum? Continue reading
Girls’ Angle Bulletin, Volume 8, Number 6
The electronic version of the latest issue of the Girls’ Angle Bulletin is now available on our website.
The object on the cover of Volume 8, Number 6 is called the Chebyshev Lollipop. It is based directly on an idea of Michael Trott. The mathematical content differs slightly from his creation which can be seen at MathWorld.
Chebyshev polynomials (of the first kind) appear in this summer’s batch of Summer Fun problem sets and in a new Emily and Jasmine series which commences in this issue.
In school, Jasmine happened by a geometry class where the teacher had the peculiar figure shown at right on the board. That figure turned out to be the launch point for an adventure in search of nice triangles.
This issue’s interview is with the Chair of the Department of Mathematics at the University of NebraskaLincoln, Professor Judy Walker. In her interview, Prof. Walker gives some pointers for how to learn mathematics well, saying “I absolutely must work through examples.”
In Anna’s Math Journal, Anna takes up Prof. Walker’s specific example suggestion and explores finite fields with 4 and 8 elements
In Part 5 of our series on the derivative, we explore the derivative of the exponential function.
We wrap up with detailed solutions to this summer’s batch of Summer Fun problem sets which include proofs of the arithmeticgeometric mean inequality, a derivation of the Taylor series of the arctangent function, and a proof of Lagrange’s theorem that, in finite groups, the order of any subgroup divides the order of the group.
We hope you enjoy it!
Finally, a reminder: when you subscribe to the Girls’ Angle Bulletin, you’re not just getting a subscription to a magazine. You are also gaining access to the Girls’ Angle mentors. We urge all subscribers and members to write us with your math questions or anything else in the Bulletin or having to do with mathematics in general. We will respond. We want you to get active and do mathematics. Parts of the Bulletin are written to induce you to wonder and respond with more questions. Don’t let those questions fade away and become forgotten. Send them to us!
We continue to encourage people to subscribe to our print version, so we have removed some content from the electronic version. Subscriptions are a great way to support Girls’ Angle while getting something concrete back in return. We hope you subscribe!
Origamiinspired Proof of the Pythagorean Theorem
While working with math teachers Richard Chang and Randi Currier of the Buckingham Browne & Nichols Middle School to come up with problems that use polynomials and rational expressions, we stumbled upon an origamiinspired proof of the Pythagorean theorem that I’d like to share. Continue reading
Posted in math, Math Education
Tagged geometry, origami, Pythagorean theorem, rational expressions
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Girls’ Angle Bulletin, Volume 8, Number 5
The electronic version of the latest issue of the Girls’ Angle Bulletin is now available on our website.
Volume 8, Number 5 of the Bulletin kicks off with an interview of Ivana Alexandrova. Ivana is an Assistant Professor of Mathematics at the State University of New York, Albany. Among other things, she maintains a webpage of weekly problems for high school students. Check it out!
The topic of induction came up quite a few times this spring at the Girls’ Angle club, so next comes an article on this widely used proof technique.
This issue’s Learn by Doing features irrational numbers and culminates in a series of problems that let you reconstruct a proof of the irrationality of due to Charles Hermite.
Anna tackles one of Prof. Alexandrova’s weekly problems for high school students in Anna’s Math Journal, finding 3 different ways to solve the problem, which is to compute . Can you find your own solution?
Next comes our 4th installment on the derivative where we find the derivatives of the basic trigonometric functions. The way we deduce the derivative of sine is similar in spirit to the way we showed that the area under one hump of a sine curve is exactly 2.
Since this is our June issue, we include the 2015 Summer Fun problem sets. This batch contains problems pertaining to telescoping series (by Fan Wei), induction, the symmetric group (by Noah FechtorPradines), and derivatives.
We hope you enjoy it!
Finally, a reminder: when you subscribe to the Girls’ Angle Bulletin, you’re not just getting a subscription to a magazine. You are also gaining access to the Girls’ Angle mentors. We urge all subscribers and members to write us with your math questions or anything else in the Bulletin or having to do with mathematics in general. We will respond. We want you to get active and do mathematics. Parts of the Bulletin are written to induce you to wonder and respond with more questions. Don’t let those questions fade away and become forgotten. Send them to us!
We continue to encourage people to subscribe to our print version, so we have removed some content from the electronic version. Subscriptions are a great way to support Girls’ Angle while getting something concrete back in return. We hope you subscribe!