Teaching Statistics and Probability
Designing a Study and Sampling
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.
Summarizing and Representing
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.
Testing Claims and Drawing Conclusions
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.
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.
Student Statistical Thinking
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.