# MTHED 301

## Teaching Statistics and Probability

Mathematics Education College of Physical and Mathematical Sciences

### Course Description

Exploration of important conceptual underpinnings, common misconceptions and students' ways of thinking, appropriate use of technology, and instructional practices to support and assess the learning of probability and statistics.

### When Taught

Fall and Winter

Grade Rule 8: A, B, C, D, E, I (Standard grade rule)

3

3

3

0

MthEd 276

### Note

A score of 5 on the AP Statistics Exam may substitute for the Stat 121 prerequisite.

### Title

Designing a Study and Sampling

### Learning Outcome

Students understand the advantages and disadvantages of study design and sampling design so that they can design an empirical study to effectively answer research questions.&nbsp;

### Title

Summarizing and Representing

### Learning Outcome

Students can evaluate and justify the use of different measures of central tendency, different measures of dispersion and different data representations depending on the nature of the data and purpose of the measure or representation.&nbsp;

### Title

Testing Claims and Drawing Conclusions

### Learning Outcome

Students can explain the underlying ideas of various statistical tests, articulate how real-world questions relate to these tests, explain how these tests are used to make claims, predictions, and conclusions, and identify common misconceptions or theoretical issues in interpreting the results of these tests.

Probability

### Learning Outcome

Students can identify probabilistic situations, model probabilistic situations using multiple representations, understand and calculate theoretical and empirical probabilities, identify common misconceptions about probability, and predict and explain the shape of sampling distributions given population distributions.

### Title

Student Statistical Thinking

### Learning Outcome

Students are familiar with K-12 students' initial conceptions and misconceptions of probability and statistical concepts and know many instructional principles and strategies to help students overcome misconceptions and to develop robust concepts in these fields.&nbsp;&nbsp;

### Title

Probability and Statistics for Social Justice

### Learning Outcome

Students understand the ways that statistics have been used to support or suppress a socially just society as well as why an understanding of statistics and probability is essential in every day life. Students use probabilistic and statistical reasoning to investigate social issues and identify inequities.