Guideline 7: Explicit guidance for teachers
Explicit guidance for teachers to engage students in using mathematical practices
Specifications for Guideline 7
Specification 7A
Materials have targeted opportunities for students to use and develop language functions while engaging in mathematical practices.
Specification 7B
Teacher materials point out opportunities for students to evaluate and address mathematical errors, misconceptions, and clarity of communication.
Specification 7C
Teacher materials provide opportunities for students to revise their own, peers’, and/or fictitious mathematical writing.
Guideline 8: Appropriate challenge and high expectations
Maintain appropriate challenge and high expectations of mathematics learning for EL students
Specifications for Guideline 8
Specification 8A
Materials consistently provide access to cognitively-demanding tasks.
Specification 8B
Teacher materials demonstrate when and how to support productive struggle before intervening.
Specification 8C
Materials guide the implementation of anchor charts, visual aids, models, and other resources for students to use as a reference.
Guideline 9: Guidance for facilitating discussion
Guidance for facilitating mathematical discussion and co-construction of meaning
Specifications for Guideline 9
Specification 9A
Materials include prompts for teachers to cultivate and facilitate back-and-forth mathematical discussions between students that refer to and build on each other's ideas.
Specification 9B
Materials provide explicit purposes for communication between students.
Specification 9C
Materials allow for equitable participation and risk-taking in conversations.