Elevator TalkMode of Instruction: Partner/Teamwork/Teacherled Purpose: Summarize a topic Objective: To facilitate meaningful mathematical discourse, students summarize understanding of topics through brief conversations. Teachers monitor through circulation techniques. Students summarize a concept or topic in a 30second, relatively short, talk. Basically, if someone gets onto an elevator and asks about a problem, you have until the elevator gets to your floor to explain it. Use Proximity Partners or a Whiparound to share out the summaries.

Elicit and Use Evidence of Student ThinkingOne of the eight Mathematics Teaching Practices from Principles to Actions that needs to be a consistent component of every mathematics lesson. Effective teaching of mathematics uses evidence of student
thinking to assess progress toward mathematical understanding and to adjust instruction continually in ways that
support and extend learning. 
Error AnalysisError analysis is a method commonly used to identify the cause of student errors when they make consistent mistakes. In this context, it is the students who are analyzing either the teacher's justification or another student's justification. It is difficult for students to judge the quality of their own math justification unless they have first spent time analyzing someone else's justification. Having a discussion with students about how the justification could be improved for a particular solution can be used in conjunction with Review & Preview at the beginning of the class period. 
Establish Math GoalsOne of the eight Mathematics Teaching Practices from Principles to Actions that needs to be a consistent component of every mathematics lesson. Effective teaching of mathematics establishes clear goals for the mathematics that students are learning, situates goals within learning progressions, and uses the goals to guide instructional decisions. 
Establish Mathematics Goals to Focus LearningOne of the eight Mathematics Teaching Practices from Principles to Actions that needs to be a consistent component of every mathematics lesson. Effective teaching of mathematics establishes clear goals
for the mathematics that students are learning, situates goals within learning progressions, and uses the goals to
guide instructional decisions. 
eToolTechnology tools that provide a way to interact with lessons electronically. The Teacher Notes offer suggestions for incorporating this technology into the classroom experience. Some eTools are intended to be used as part of a wholeclass demonstration, while others are meant for individuals or pairs of students to use while exploring. 
Executive FunctionExecutive function is a set of mental skills that include working memory, flexible thinking, and selfcontrol. We use these skills every day to learn, work, and manage daily life. Executive functions have very limited capacity due to working memory. 
Executive Summary of ResearchA summary of the research that supports the Three Pillars of CPM  collaborative learning, problem based learning and mastery over time. 