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Florence Newberger, Advisor When discussing undergraduate research projects in mathematics, the math education majors often get overlooked. Partly this is because they already have the opportunity to get hands-on experience within their major through student teaching and volunteer requirements. Still, it seems that most of these opportunities focus on the process of teaching, and not so much on the content. Faced with 30 math education majors out of my 50 "Discrete Mathematics" students, most of them producing excellent mathematics, I started looking for an opportunity in which they use the abstract mathematics that they are learning now in a way relevant to teachers. I found my solution through the Allegheny Mountain Section N.Ex.T., of which I am a member. Project N.Ex.T. (New Experiences in Teaching) is an M.A.A. professional development program that provides support to persons beginning an academic career. For me, the best part of the organization is the communication; we have an email list on which people can post questions or announcements, as well as teaching ideas and innovations. One of our members announced on the list that she is organizing a session of 15 minute student talks at the Pennsylvania Council of Teachers of Mathematics conference March 15-17, 2001. My undergraduate research project for math education majors involves preparing a lesson for high school students that uses mathematics not typically included the high school curriculum, and presenting it at the conference. The skills of reading and writing mathematics that they have studied in their advanced mathematics courses are invaluable research tools, providing an answer to the forbidden question: "When am I ever going to use this stuff?" Thirteen students participated in this project. Below you will find the titles, descriptions and "action shots" taken during the presentations. The titles of the presentations are linked to the students' written descriptions of their projects, and a booklet containing all of the write-ups can be downloaded below. Jaeson Han and Patrick Kehan's articles were published in the PCTM Magazine in the Spring 2001 issue. We all enjoyed the workshops and sessions we attended at the conference, as well as the opportunity to meet the members of the mathematics education community, who were both welcoming and encouraging. The project was overall a great success. |
Group Picture
Back row: Florence Newberger (faculty advisor), Kathi Wisinski, Andrea Chiarelli, Rebecca Long, Kim Denlinger, Marisa Ialongo, Francine Webster; Front row: David Cooper, Patrick Kehan, Bill Sechrist, Jaeson Han; Not pictured: Nick Fox, Denise Heffner and Jon Hess |
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| Download a booklet containing all the student write-ups! |
Special Thanks
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| The Presentations
Click on the titles to read the student write-up's! |
| Jonathan Hess
Alphametics, Learning How to Solve A few ideas using puzzles, and more specifically, Alphametics, to teach students to look for patterns and use systematic reasoning to solve problems. |
| Denise Heffner
Exciting Trigonometry Lessons A few trigonometry lessons outside the usual high school curriculum. Students will learn trigonometry by examining real life situations. |
| David Cooper
Polar Polygons An activity for high school students in which they will learn to derive an equation that yields regular polygons in polar coordinates and the formulas that describe their geometric properties. |
| Nicholas Fox
Covering a Chessboard by Dominoes Learn a fun mathematics activity that integrates chessboards and dominoes. Students can gain critical thinking and group skills. |
| Kathi Wisinski
Taking a New Perspective A project for high school students using spatial reasoning and perspective drawing. |
| Andrea Chiarelli
Collaborations between P.E. Class and Mathematics An activity where students will "discover" correlations between themselves and various track and field events, using graphing and statistical analysis. |
| Bill Sechrist
Take a Closer Look at Tournaments A high school lesson dissecting the mathematics involved in scheduling tournaments. Students will apply the techniques to create a tournament involving local teams. |
| Kim Denlinger
What's So Magical about Squares? An activity for high school students to take a look at the arrangement of numbers in magic squares (particularly 3x3) to discover various patterns and relationships, with the application of number patterns seen in calendars. |
| Francine Webster
Instant Insanity Puzzles An activity in which high school students learn to use graphical representation to solve the mathematical puzzle Instant Insanity. |
| Marisa Ialongo
An Innovative Discovery Technique to Pick's Theorem A discovery approach for teaching students Pick's Theorem. By introducing patterns in various examples, guide students to discover this equation. |
| Jaeson Han
One Step Closer to Understanding MapQuest Participants will study an algorithm that finds the shortest distance from one point of a map to another. Many projects and fun activities can be derived from this. |
| Patrick Kehan
Reading Time without a Clock A hands on experience reading time through nature involving high school mathematics. Students will learn to read time using trigonometry and their location in the world. |
| Rebecca Long
Probability: Exploring the Law of Large Numbers through Examples Should you stay or should you switch? That is the question. Learn how the law of large numbers can help you understand the Monty Hall problem. Other examples may be used to discover the law of large numbers, then this rule may help reveal the correct answer to the counter intuitive Monty Hall problem. |
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Contact me:
email: fnewberg@csulb.edu.
Office: FO3-218.
Phone: (562) 985-5675.
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