Anne Arundel Community College

MAT 223: Fundamental Concepts of Math 3


CATALOG DESCRIPTION:
Primarily for students in the elementary education program. Topics include data collection, sampling, interpreting data, displaying data, correlation and regression, distributions, confidence intervals, probability, and the use of technology. Principles and standards of national mathematics organizations are applied to probability and statistics.

Prerequisite: MAT 221 or MAT 222 or equivalent

Note: Credit is not given for both MAT 223 and MAT 135

LEARNING OBJECTIVES:
Upon completion of this course, the student will be able to:
  1. Use the techniques of descriptive statistics to collect and organize data, create and interpret graphs, and compute statistics.
  2. Apply probability theory in specific contexts.
  3. Use the techniques of inferential statistics to construct confidence intervals and conduct hypothesis tests.
  4. Use technology to enter, display, and analyze data.
  5. Evaluate the validity of educational statistics as presented in a journal article.
  6. Improve skills needed to teach elementary school mathematics.

COURSE OUTLINE:
Collecting Data:
  • Introduction and Types of Data
  • Sampling Methods
  • Designing Experiments

Exploring and Interpreting Data:
  • Displaying and Analyzing Data through Graphs
  • Measures of Center
  • Measures of Variation
  • Quartiles and Percentiles
  • Scatterplots
  • Correlation and Linear Regression

Probability:
  • General Probability Rules (Omit Conditional Probability)
  • Tree Diagrams and Counting Techniques
  • Randomness and Discrete Probability Models
  • Normal Distributions
  • Sampling Distributions
  • The Central Limit Theorem

Statistical Inference:
  • Confidence Intervals
  • Hypothesis Testing with One Parameter

Critical Analysis of Case Studies:
  • Standards and Principles of National Council of Teachers of Mathematics
  • Case Studies

Technology Use in Statistics (EXCEL or SPSS), pick several topics from the following list:
  • Creating Graphs
  • Descriptive Statistics
  • Linear Regression
  • Simulations
  • Counting Techniques, Permutations, Combinations, Probability
  • Inferential Statistics

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