Far Out Math! Using Slide Rules to Teach Logarithms Lynn Cominsky SSU/NASA Education and Public Outreach Program Director Michiel Ford GLAST Educator Ambassador.

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Presentation transcript:

Far Out Math! Using Slide Rules to Teach Logarithms Lynn Cominsky SSU/NASA Education and Public Outreach Program Director Michiel Ford GLAST Educator Ambassador Holton High School, KS

National Aeronautics and Space Administration

Space

Aerospace Technology Biological and Physical Research Space Science Earth Science Human Exploration and Development of Space NASA ENTERPRISES Education Mission Safety

Astronomy and Physics Division Infrared, Visible and Ultraviolet Radio, Microwave, X-ray, Gamma-ray, Gravity, Cosmic Rays

Structure and Evolution of the Universe 1.To explain structure in the Universe and forecast our cosmic destiny; 2.To explore the cycles of matter and energy in the evolving Universe; 3.To examine the ultimate limits of gravity and energy in the Universe ranging from the closest stars to the most distant quasars.

Hubble Not yet launched In orbit ACEHETE-2 ASTRO E2INTEGRAL ChandraLISA CHIPSMAP Constellation-XRXTE GALEXSWAS GLASTSwift Gravity Probe BXMM-Newton Structure and Evolution of the Universe Missions

Explore the era of star formation in the universe, the physics of dark matter and the creation and evolution of galaxies GLAST Science

All about GLAST

Educator Ambassadors 10 top-notch educators from nationwide search(5 GLAST, 2 Swift, 3 SEU) Help develop, test and disseminate NASA E/PO materials Travel to local, regional, and national conferences for workshops $2500/year stipend + travel to a conference 8 more slots in 2004 (5 GLAST, 3 LISA and/or GALEX) Do you have what it takes? Apply in ’04!

TOPS Learning Systems Develops simple, non-tech activities Non-profit run by husband-and-wife team Ron and Peg Marson 20+ years of instructional development experience

Far Out Math! Uses slide rules (yes, slide rules!) to teach logarithms Uses materials you already have Builds on previous student knowledge

Logarithms 1615: John Napier & Henry Briggs needed to simplify HUGE calculations in Physics and Astronomy Why do we NEED to know where it comes from when my calculator does it for me?

Logarithms are Exponents log 10 exp = exp N = 10 exp = antilog exp

Log rules: log(a) + log(b) = log(ab) log(a) - log(b) = log(a/b) log(a b ) = b log(a)

Applications? Sound

Applications? Radioactive Decay

Applications? pH Scale

Applications? Compound Interest

Applications? Population Growth o kt o N N because eNN ln   

Applications? Richter Scale Richter’s Distance Correction Factor Modern Fudge Factor

Applications? Even Motion Picture Flicker! f min = min. frequency at which flicker disappears

Time to get to work Let’s go logging!

TOPS: Far Out Math! A) Sliding Scales Adding slide rules Multiplying slide rules B) Log Tape C) Base-Two Slide Rule D) Classic Log Scales E) Log Graphs

Don’t forget the GLASToids… The curiously strong word problems (page 17)

Resources GLAST E/PO web site TOPS Far Out Math! Logarithms through Applications by Robert Frank, Seton Hill College University of Nevada, Reno Seismology class notes