MAA 26th Big Bend Region Annual Meeting

   
MAA

Big Bend Region

Twenty-Sixth Annual Meeting
   

2:30 Friday, 28 October 2005

Florida State University

    Please put it on your calendar    

This meeting, which will be held on the campus of FSU, is an opportunity for those of us in the Big Bend region of Florida and our colleagues in South Georgia who are interested in mathematics and mathematics education to share ideas and discuss issues of common interest and concern. We welcome participation of middle and high school mathematics teachers, community college and university faculty, plus high school, undergraduate and graduate students.

The presentations will take place on the second floor of the Student Services Building (SSB). The building is located on the east side of Woodward Ave. about one block north of Jefferson Street. Parking is available in the parking garage near the science library. Due to the FSU Homecoming Parade, the area bounded by Dewey St., Monroe St., Tennessee St., and Pensacola St. will likely have a great deal of traffic during 1:00-5:00 pm. It is recommended that you travel on Woodward Ave. beginning north of Tennessee St. or approach Woodward Ave. from the west. (The campus map, which will open in new window, contains details for the Tallahassee area and Tallahassee downtown, as well as an FSU alphabetic building listing.)

Arriving from Northeast. Travel southwest along Thomasville Road until it ends at Monroe St.; turn left and then turn right (west) onto Brevard St. Travel along Brevard St. for about 3/4 mile and turn left (south) onto Woodward Ave. Follow Woodward Ave. across Tennessee St. into the garage.

Arriving from Southeast. Travel west along Gaines St. and continue along Stadium Drive on the west side of the football stadium until the road terminates at Tennessee St. Turn right (east) onto Tennessee St. and continue until reaching Woodward Ave. (the first traffic light). Turn right (south) onto Woodward Ave. and drive into the parking garage.

Arriving from West. Travel east along Tennessee St. and turn right (south) onto Woodward Ave. into the parking garage.

An alternative parking lot is available on the northwest corner of Tennessee and Woodward and is accessible from either street. If you are traveling south on Woodward, the entrance is about 50 yards before Tennessee Street. To get to the meeting, cross Tennessee St. and travel about 300 yards along Woodward Ave.; the building is on the left, just before the pedestrian "mall" ends.

We have arranged with Parking Services to allow parking of meeting attendees; you will need to place a copy of the Parking Pass on the dashboard of your car. (This downloadable Parking Pass PDF file will open in new window, color printing is not required.) To reach the SSB from the parking garage, walk to Woodward Ave and turn right (south). The SSB is a new building, about 200 yards on the left.

There will be a banquet at the China Super Buffet beginning at 6:15 pm. We are fortunate to have Dr. T. N. Krishnamurti as the speaker; he will discuss the use of ensembles to improve hurricane prediction. The restaurant is located on the west side of N. Monroe St. (US 27N) about 0.5 miles south of I-10. Each person will pay for his/her dinner. The cost including tax, tip, and beverage is $11.

There is no registration fee for this meeting. However, it will assist the organizers if those who plan to attend would contact S. Blumsack at blumsack@math.fsu.edu. Please indicate whether you plan to attend the banquet.

Preliminary Program
(click on title for abstract)

2:30-2:55pm
 
 
 
James Issos
Mathematics Department
Florida A&M University
Cost Effectiveness of Student´s t Distribution
Peggy L. Moch
Mathematics Department
Valdosta State University
Analyzing the Facts: What´s the Probability?
3:00-3:25pm
 
 
 
 
Eric Jakubowski
Mathematics Supervisor
Leon County Schools
Using Webb´s Depth of Knowledge in
Classifying FCAT Mathematics Items
Chris Niemann
Mathematics Department
Valdosta State University
All Roads Lead to the Golden Ratio
 
3:25-3:40pm Refreshments
3:45-4:40pm Invited Presentation:
Dr. Harrison Prosper, Department of Physics, FSU
The Universe: A Mathematical Wonderland
4:45-5:10pm
 
 
 
 
Jun Ji and Charles Kicey
Mathematics Department
Valdosta State University
Geometric and Algebraic Structure of Means
 
Matt Robinson
Mathematics Teacher
Florida State University School
Smarter Math Teaching & Learning with the
Interactive SMART Board
5:15-5:40pm
 
 
 
Juan B. Gutierrez
Mathematics Department
Florida State University
Trojan Genes. A Guide to Get Rid of Invasive Species
Patricia Casey
Mathematics Teacher
Florida State University School
Teach Algebra in Space Using CelSheet on the TI-84

Planning Committee
     
Steve Blumsack (Co-chair), FSU     Jim Gaunt, TCC
David Boyd, VSU     Wolfgang Heil, FSU
Ben Fusaro (Co-chair), FSU     Elizabeth Jakubowski, FSU
Roselyn Williams, FAMU


This document is maintained by melïssa elaine smith / smith@math.fsu.edu
Last modified: 24 October 2005



Abstracts


James Issos, Cost Effectiveness of Student´s t Distribution
The usual method for constructing confidence interval for a population mean is simple but only approximate. An alternative more exact method is presented. But it is harder to use. The pros and cons of each method will be discussed.

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Peggy Moch, Analyzing the Facts: What´s the Probability?
Data analysis and probability have become an important part of the middle grades mathematics curriculum. In today's data rich society, students need to become proficient with a wide variety of statistics vocabulary as well as the applications of these statistical terms. Performing data analyses on the number facts learned during elementary school provides middle grades students with an opportunity to deepen their understanding of statistical ideas while reinforcing their arithmetic skills. Notions of probability can also be investigated using these familiar data sets.

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Eric Jakubowski, Using Webb´s Depth of Knowledge in Classifying FCAT Mathematics ItemsGeometric and Algebraic Structure of Means
With the prescriptions of the federal No Child Left Behind Act, statewide high-stakes testing is used as part of an accountability factor for both student performance and a measure for a school's Annual Yearly Progress. Most high stakes tests measure sets and/or clusters of either state and/or national content and performance standards. These standards measure performance and content domain knowledge of students. In classifying performance cognitive demands that high stakes mathematical test item place on a student, Blooms taxonomy has been a staple for many years. However, issues have been brought forth that the use of Bloom's Taxonomy are more in alignment with classroom instruction vs the depth of knowledge that complex mathematical performance items may address on high stakes testing. In this presentation will will look at Webb's Depth of Knowledge and how the state of Florida is using this model in classifying FCAT mathematics items.

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Chris Niemann, All Roads Lead to the Golden Ratio
The celebrated Fano Plane (Gino Fano, 1875 - 1950) will form the basis for this discussion. If each of the seven lines of the Fano Plane is given a certain direction, these vectors can be made to correspond to the seven imaginary units of the octonions. By introducing coordinates onto the two dimensional (2-D) Fano Plane, one can easily move into 3-D and 4-D by appending one or two coordinates, respectively. Deleting one or two coordinates leads one back to the 1-D Fano Line and the 0-D Fano Point, respectively. The Fibonacci Formula combined with the standard quotient sequence induces the Golden Ratio, regardless of the number system used.

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Harrison Prosper, The Universe: A Mathematical Wonderland
We live in a Universe of laws; an intricate mathematical system revealed in the nature of space, time and the quantum. In this talk, we go on a grand tour of space-time: from a fraction of a second after the Big Bang to the present; then back towards the Big Bang and beyond, and, finally, back to the distant future. Along the way, we shall stop to marvel at some of the wonders we encounter.

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Jun Ji and Charles Kicey, Geometric and Algebraic Structure of Means
The average or mean concept is one of the most central ideas to analysis. In this self-contained talk, we introduce an interesting mean we called the "slope mean". Motivated by some of its properties, we see how the arithmetic, geometric, and harmonic means, and others, can be characterized by geometric/algebraic structures.

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Matt Robinson, Smarter Math Teaching & Learning with the Interactive SMART Board
NCTM calls for mathematics lessons to be taught in an engaging, interactive manner. Current educational technology, in a mathematics class, can provide this hands on engagement and interaction in any level of class (elementary, middle, secondary and higher education). Recent studies have shown gains in students learning, interest, and motivation in mathematics classes in which interactive white boards are used. This presentation will introduce participants to the use of the interactive white board in a mathematics course and discuss content and curriculum ideas in which the board's use can be fully exploited.

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Juan Gutierrez, Trojan Genes. A Guide to Get Rid of Invasive Species
A Trojan gene is a genetic variation that, when it is artificially introduced in a population, can lead to local extinction. We present a case study that describes an invasive fish population. In the proposed strategy, sex-reversed fish containing two Y chromosomes are introduced into a normal fish population. These YY fish result in the production of a disproportionate number of male fish in subsequent generations. Mathematical modeling of the system following introduction of YY fish at a constant rate reveals that female fish decline in numbers over time, leading to eventual extinction of the population. The method used to model this dynamical system is applicable to a large variety of population dynamics situations.

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Patricia Casey, Teach Algebra in Space Using CelSheet on the TI-84
Presentation will use Solar System data with CelSheet(spreadsheet) application on the TI-84 to make comparisons of planet sizes and distances from the Sun. If time, equations of orbits of planets will be found and graphed on calculator.

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