# Probability and statistics in grades 1-8

Professor Hlas |

*When we compare one thing to the other, it changes its value.*

—Gilbert

## Course Information

This course includes mathematical knowledge for teachers based on practice & content standards. Topics include:

- probability (models, compounded, conditional, expected value)
- linear functions (slope, formulas, graphing)
- statistics (sampling, measures of center, measures of dispersion, normal distributions, z-scores, lines of best fit)

This course helps students meet the following Liberal Education Learning Outcome:

- S2. Use mathematical, computational, statistical, or formal reasoning to solve problems, draw inferences, and determine the validity of stated claims.

(This outcome will be assessed by the cumulative final exam.)

More course information is posted on D2L.

### Goals

- Develop a productive disposition towards elementary mathematics
- Explain why mathematical ideas work

### Structure

- Daily warm-up activities, typically for discussion
- Weekly quizzes
- One midterm examination
- Comprehensive final exam

### Materials

- Beckmann, S. (2014). Mathematics for Elementary Teachers with Activities, 4th edition (rental text)

*I recommend printing Class Activities from D2L so you do not need to bring the book to class.* - Calculators
**are**allowed, but are not required. Devices with wireless capabilities (e.g., cell phones) are not allowed on assessments. - Recommended review: Algebra rules

### Research background

- Common Core State Standards
- CCSSM Progression: Probability and statistics
- Better learning through hand writing (Science Daily, 2011)
- Improve students' learning with effective learning techniques (Dunlosky, et al., 2013, page 45)