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Mathematical Knowledge for Teaching: Statistical Reasoning


Course Description

Students will formulate statistical questions, collect and analyze data, and interpret results. They will develop a deep conceptual understanding of the statistics they will teach to K-12 students. A focus of the class will be dealing creatively with messy data and students’ thinking about variability and statistical processes.


Athena Title

MKT Statistical Reasoning


Non-Traditional Format

This course will be taught 95% or more online.


Semester Course Offered

Offered fall


Grading System

A - F (Traditional)


Student learning Outcomes

  • Students will understand how to formulate statistical questions, collect and analyze data, and interpret results.
  • Students will understand how to identify variability in the world around us.
  • Students will understand how to use technology to reformulate messy data and choose appropriate methods for analysis.
  • Students will understand how to use the interrogative cycle to question data presented by the media or other sources.
  • Students will understand how to interpret and discuss inference in the simple linear regression model test of independence and homogeneity.
  • Students will understand how to design and analyze data from experiments, observations, and surveys.
  • Students will understand how to perform statistical analysis including measuring and interpreting center and spread of a data set.

Topical Outline

  • Sample statistics and population parameters
  • Case vs. Aggregate
  • Descriptive statistics
  • Confidence intervals and significance tests
  • Statistical investigation and interrogation
  • Comparing groups
  • Linear regression
  • Use of technology
  • Statistical arguments and communication
  • Statistical dispositions and connection to the Mathematical Practices
  • Emerging approaches and issues in statistics and data science

Syllabus


Public CV