CPM Glossary


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E

Elevator Talk

Mode of Instruction: Partner/Teamwork/Teacher-led           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 30-second, 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.


  • Each individual/partner/team is given a topic or concept.

  • Students summarize the topic or concept into a brief presentation.

  • Teacher facilitates a share out of presentations.



Elicit and Use Evidence of Student Thinking

One 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 Analysis

Error 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 Goals

One 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 Learning

One 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.


eTool

Technology 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 whole-class demonstration, while others are meant for individuals or pairs of students to use while exploring.


Executive Function

Executive function is a set of mental skills that include working memory, flexible thinking, and self-control. 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 Research


F

Facilitate Meaningful Mathematical Discourse

One 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 facilitates discourse among students to build shared understanding of mathematical ideas by analyzing and comparing student approaches and arguments.


Facilitator

The Facilitator helps the teams get started by having someone in the team read the task aloud. Facilitators also make sure each person understands the task and knows how to get started. Before anyone moves on to a new problem, the facilitator makes sure that each team member can explain the team’s answer. 

Typically, a teacher could expect to hear a Facilitator asking:

“Who wants to read?”

“Does anyone know how to get started?”

“What does the first question mean?”

“I’m not sure. What are we supposed to do?”

“Do we all agree?”

“I’m not sure I get it yet—can someone explain?”




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