MATH 480-481-482 (Mathematics for Middle School Teachers)
MATH 480-481-482 are the math content courses for a Masters Degree
Program in the College of Education. This program
prepares teachers with elementary certification to teach math in middle
schools. It is currently being offered at the Shady
Grove campus for teachers in the Montgomery County Public School
System.
MATH 480 (Algebra for Middle School Teachers)
| DESCRIPTION |
Prepares teachers with elementary certification to teach
Algebra 1 in middle school. Focuses on basic algebra concepts and
related theoretical ideas: the algebra knowledge that provides a
context and rationale for the algebra that is taught to middle
school students.
|
| PREREQUISITES |
Math 214 or equivalent
|
| RESTRICTIONS |
Course for middle school teachers. Cannot be used
toward the upper level math requirement for Math majors.
|
| TOPICS |
Problem Analysis
Linear Equations
Linear Inequalities
Number Sets and Properties
Factoring Numbers
Factoring Polynomials
Functions
Linear Functions
Quadratic Functions
Exponential Functions
|
| TYPICAL TEXT |
Algebra
Connections: Mathematics for Middle School Teachers, by Ira J.
Papick
|
MATH 481 (Statistics and Data Analysis for Middle School Teachers)
| DESCRIPTION |
Prepares teachers with elementary certification to teach
simple data analysis and probability in middle school.
Focuses on understanding basic statistics, data analysis, and related
theoretical ideas: the knowledge that provides a context and rationale
for the data analysis and probability that is taught to middle
school students.
|
| PREREQUISITES |
MATH 214 or equivalent.
|
| RESTRICTIONS |
Course for middle school teachers. Cannot be used
toward the upper level math requirement for Math majors. |
| TOPICS |
Elements of Statistics
-- types of sampling, types of data, etc.
Organizing and Displaying Data
Describing Data with Numbers
-- measures of center, measures of spread,
percentile
Data with Two Variables
-- scatterplots, correlation, least-squares
regression
Probability
-- including independence, conditional probability
Counting Techniques
Random Variables and Probability Distributions
-- particularly binomial
and normal distributions
Distributions from Random Samples
-- relationship between means of
population and sampling distribution
-- relationship between standard deviations
of population and sampling distribution
-- Central Limit
Theorem
Estimating with Confidence
-- proportions, means with 95, 99, 90
percent
confidence
|
| TYPICAL TEXT |
Data and Probability Connections: Mathematics for
Middle School Teachers, by Debra and Michael Perkowski
|
| TOPICS |
Elements of Statistics
-- types of sampling, types of data, etc.
Organizing and Displaying Data
Describing Data with Numbers
-- measures of center, measures of spread,
percentile
Data with Two Variables
-- scatterplots, correlation, least-squares
regression
Probability
-- including independence, conditional probability
Counting Techniques
Random Variables and Probability Distributions
-- particularly binomial
and normal distributions
Distributions from Random Samples
-- relationship between means of
population and sampling distribution
-- relationship between standard deviations
of population and sampling distribution
-- Central Limit
Theorem
Estimating with Confidence
-- proportions, means with 95, 99, 90
percent
confidence
|
| TYPICAL TEXT |
Data and Probability Connections: Mathematics for
Middle School Teachers, by Debra and Michael Perkowski
|
MATH 482 (Geometry for Middle School Teachers)
| DESCRIPTION |
Prepares teachers with elementary certification to teach
geometry in middle school. Focuses on understanding
basic geometry concepts and related theoretical ideas. |
| PREREQUISITES |
MATH 214 or equivalent. |
| RESTRICTIONS |
Course for middle school teachers. Cannot be used
toward the upper level math requirement for Math majors. |
| TOPICS |
Deductive Systems
-- History (Euclid)
-- Logic
-- Finite Geometry
Basic Definitions and Relationships
-- Congruent Figures
-- Parallels
-- Polygon Angles
-- Quadrilaterals, Circles
Area, Surface Area, Volume
-- Pick's Theorem
-- Shearing
Similarity
-- Right triangle trigonometry
-- Trig Functions (unit circle and graphs)
-- Scaling implications
-- Perspective
Rigid Motions and Symmetry
Coordinate Geometry
Spherical Geometry; Map-making
|
| TYPICAL TEXT |
Geometry Connections: Mathematics for Middle School
Teachers, by John K. Beem
|
| Additional materials |
Navigating Through Geometry in Grades 9-12
Exploring Geometry with the Geometers Sketchpad
Geometers Sketchpad software
|
|
