Albertson College of Idaho
Physical Models in Mathematics for Education Majors
(6 Week Winter Session Course - 6 hrs/wk)
(4-yr Residential Liberal Arts)

Target Audience: Elementary education majors

Course Goal: Improve conceptual understanding of mathematics for pre-service teachers

Course Description: A course for elementary teachers in which mathematical concepts (including ratios, functions, statistics, and matrix algebra) are developed through hands-on physical science activities (including geology, chemistry, and physics). Included will be an introduction to scientific inquiry, practice with experimental methods, micro-computer-based instruction, statistical software (including MiniTAB and EXCEL), and mathematical software (MathCAD).

Assessment:
Homework Portfolio (30%)
Activity reports (20%)
Exams (50%)

Schedule:

 WK Monday Tuesday Wednesday Thursday Friday 1 Functions MBL Kinematics (distance/time) Linear GraphMBL Kinematics (velocity/time) EXCEL modeling of kinematics Ratios Maps RatiosMaps 2 Non-linearFunctions MBL Kinematics (gravity) Distance, velocity, and acceleration EXCEL modeling of kinematics REVIEW EXAM 1 3 Simultaneous Linear equations Geologic Structure MathCADMatrix Algebra Introduction Simultaneous linear equations Circuits Simultaneous linear equations Circuits MathCADMatrix Algebra 4 ExponentialFunctions Radioactive decay Exponentialfunctions Radioactive decay Exponentialfunctions Radioactive decay REVIEW EXAM 2 5 Trigonometric functions Parallax Topographic Maps and Triangulation SlopeArea Work Constant Force 6 WorkVariable Force Springs &Things Numerical Integration Numerical Integration REVIEW EXAM 3

 Physics Module Projects Mathematics Geology Chemistry Radioactive Decay 100 pennies/boxradioactive halflife Exponentials, LogsUse EXCEL present data graphically, Modeling Fractions Absolute Dating Structure of AtomAtomic decay Kinematics Sonic Ranger: position-time, velocity-time graphs Functions, Slopes, Negative Numbers Plate Tectonic Motions and Velocities Force (Gravity) Drop different mass objects and observe how they fall. Functions, Graphs, Quadratic, Predict fall time from theoretical equations Mass movement Density and Volume Archimedes Experiment Solid Volumes, Hypothesis testing, Approximation Specific Gravity Spring Force - Work Springs and Things Integration (Numerical), Theoretical Work given and tested Elastic Properties of Materials Scales, Conversions Leaning Tower of Pisa, Maps (land area), Solar System Ratio, mapping, trigonometry Topographic studies, geologic structure

7/30/99