@article {MATHEDUC.05668611,
author = {Otto, Charlotte A. and Everett, Susan A. and Luera, Gail R.},
title = {Using a functional model to develop a mathematical formula.},
year = {2008},
journal = {School Science and Mathematics},
volume = {108},
number = {6},
issn = {0036-6803},
pages = {228-237},
publisher = {Wiley (Wiley-Blackwell), Hoboken, NJ; School Science and Mathematics Association (SSMA), Stillwater, OK},
doi = {10.1111/j.1949-8594.2008.tb17833.x},
abstract = {Summary: The unifying theme of models was incorporated into a required Science Capstone course for pre-service elementary teachers based on national standards in science and mathematics. A model of a teeter-totter was selected for use as an example of a functional model for gathering data as well as a visual model of a mathematical equation for developing the mathematical relationship for a Class 1 lever, M1D1=M2D2. In this study, 20 student groups (n=72) collected data using the model in an inquiry-based activity. All groups developed the qualitative relationship, 13 groups developed a correct mathematical formula, 6 groups developed one-half of the relationship (X = mass x distance), and 1 group attempted to develop a procedural relationship. The pre-service elementary teachers used a variety of model types in the activity including visual/pictorial, functional/physical and mathematical-both graphs and formulas. The use of the teeter-totter model as a visual and functional model of a mathematical formula was a factor in developing the mathematical relationship. (ERIC)},
msc2010 = {B50xx (M19xx C79xx)},
identifier = {2010c.00059},
}