\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2010c.00059}
\itemau{Otto, Charlotte A.; Everett, Susan A.; Luera, Gail R.}
\itemti{Using a functional model to develop a mathematical formula.}
\itemso{Sch. Sci. Math. 108, No. 6, 228-237 (2008).}
\itemab
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)
\itemrv{~}
\itemcc{B50 M19 C79}
\itemut{preservice teacher education; mathematical modeling; problem-solving strategies; experience reports; deficiencies}
\itemli{doi:10.1111/j.1949-8594.2008.tb17833.x}
\end