In this case the teacher is facilitating a discussion about the application of basic concepts to probability problems and students are using diagrams and models, exploring the concepts behind the solutions instead of just focusing on a set procedure.

This case shows a teacher effectively leading her students through a lesson on probability and students using fractions to represent the probabilities they are finding while engaging in mathematical discourse to show their thinking.

This case shows a teacher working with students in a statistics class and students preparing conclusions for their formal presentations, supporting their evidence with the quantitative and qualitative data they have collected.

In this case the teacher is assisting students in constructing arguments for using a specific measure of center to represent a data set and students are using their own grades to determine which measure of center they should use to represent their calculations, sharing their reasoning and supporting their arguments with their peers.

In this case the teacher is guiding students in doing simple comparative experiments about statistical aspects of the Stroop Effect and students are designing and implementing experiments to test their ideas, collecting and analyzing data, and presenting their findings.

In this case the teacher is guiding students in comparing and discussing various representations about confidence levels and students are analyzing strengths and weaknesses and formulating conjectures about three work samples they are studying.

This case shows a teacher working with students on binomial probabilities in their small groups and students determining a rule or formula to find the probabilities in any situation by reasoning mathematically.

This case shows a teacher asking questions and guiding small groups of students in exploring systems of linear equations, and students collecting and plotting data, drawing a line of best fit, and analyzing the information.

In this case the teacher is assisting students in interpreting the shape, center, and spread of frequency graphs and box plots and students are discussing, evaluating and analyzing the accuracy of their peer's conceptual understanding by listening to ideas, challenging each other's thoughts, and learning from the misconceptions of others.

This case shows a teacher engaged in a discussion with her students on a classic statistics problem from WW II and students using mathematical discourse to see how statistics is used in real life situations.

This case shows a teachers guiding collaborative groups in analyzing stem-and-leaf and line plots, frequency tables, and data sets, and students working together by taking on various roles within their group, using technology, and constructing data displays.

In this case the teacher is facilitating students' work with objects sinking or floating and students are observing how solids behave in water, recording data, and trying to determine why certain things float and others sink.

This case shows a teacher visiting student groups as they work at various outdoor stations investigating force and motion and students doing different experiments at each station, recording, discussing, and analyzing their data.

In this case the teacher is facilitating a small group activity on statistics and students are using M & Ms to apply contingency tables and chi-square tests to a real-world problem while using appropriate mathematical and written language.

In this case the teacher is facilitating students while they are determining a number of options and a variety of methods for probability problems and students are using manipulatives and communicating their thinking to come to clear and concise justifications for their solutions.

This case shows a teacher facilitating small groups using a Rubik's cube as their model of probability and students figuring out basic probability of cubes, developing formulas that could apply to different cubes with specified and then unspecified dimensions.

In this case the teacher is having students practice their understanding of inferential statistics by working on unbiased estimates for mean and variance and students are determining these estimates and using them to test a hypothesis in addition to interpreting a confidence interval for a sample proportion.