Use and Connect Mathematical RepresentationsOne 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 engages students in
making connections among mathematical representations to deepen understanding of mathematics concepts
and procedures and as tools for problem solving. 
Use appropriate tools strategicallyMathematically proficient students consider the available tools when solving a mathematical problem. These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, a spreadsheet, a computer algebra system, a statistical package, or dynamic geometry software. Proficient students are sufficiently familiar with tools appropriate for their grade or course to make sound decisions about when each of these tools might be helpful, recognizing both the insight to be gained and their limitations 
Walk and TalkMode of Instruction: Partner Purpose: Movement and Communication Objective: To implement tasks that promote reasoning, students respond to questions or prompts about a topic while walking. The teacher monitors for multiple points of entry into a topic. To promote movement during learning, partners receive a topic or concept to discuss while walkingâ€”about the classroom, in the hallway, or outside. Partners summarize learning, clarify ideas, or ask questions. Partners report any remaining questions to the teacher after returning to desks.

WhiparoundMode of Instruction: Teamwork/Teacherled Purpose: Elicit final reflective comment Objective: To facilitate mathematical discourse, students share understanding of a concept/topic and critique the sharing of others. Teacher uses this time to make instructional decisions about the concept/topic. Students participate in a teacherled discussion to share a final comment on a topic, concept, or lesson. Students turn in the direction of the speakerâ€”possibly forming a circle around the classroom. Teacher states the topic or problem, and students take turns sharing brief comments. Students have the option to pass on their turn to share. Team Whiparound (Whiparound variation) Teams participate in a teacherled discussion to share a final comment. Teams share out only one agreed upon response per team.

Word WallA word wall is a collection of words which are displayed in large visible letters on a wall, bulletin board, or other display surface in a classroom. 