**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 Graph MBL Kinematics (velocity/time) |
EXCEL modeling of kinematics | Ratios Maps |
Ratios Maps |

2 |
Non-linear Functions MBL Kinematics (gravity) |
Distance, velocity, and acceleration | EXCEL modeling of kinematics | REVIEW | EXAM 1 |

3 |
Simultaneous Linear equations Geologic Structure |
MathCAD Matrix Algebra Introduction |
Simultaneous linear equations Circuits |
Simultaneous linear equations Circuits |
MathCAD Matrix Algebra |

4 |
Exponential Functions Radioactive decay |
Exponential functions Radioactive decay |
Exponential functions Radioactive decay |
REVIEW | EXAM 2 |

5 |
Trigonometric functions |
Parallax | Topographic Maps and Triangulation | Slope Area |
Work Constant Force |

6 |
Work Variable Force Springs &Things |
Numerical Integration |
Numerical Integration |
REVIEW | EXAM 3 |

Physics Module |
Projects |
Mathematics |
Geology |
Chemistry |

Radioactive Decay |
100 pennies/box radioactive halflife |
Exponentials, Logs Use EXCEL present data graphically, Modeling Fractions |
Absolute Dating | Structure of Atom Atomic 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 |

Next syllabus

Syllabi index

Introduction

7/30/99