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


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