Guideline 1: Use and refine both language and mathematics over time
Strategic opportunities to use and refine both language and mathematics over time
Specifications for Guideline 1
Specification 1A
Materials highlight, define, illustrate, and show the purpose for mathematical language within the context of the lesson (not in isolation).
Specification 1B
Materials guide teachers to encourage students to build their own understanding of mathematics actively, through sustained activities and experiences.
Specification 1C
Materials provide strategies to help students make connections between current language, new language, and mathematical concepts.
Specification 1D
Units offer repeated opportunities to develop, refine, and extend language for mathematical purposes over time.
Guideline 2: Explicit learning goals and pathways
Explicit mathematics and language learning goals and pathways
Specifications for Guideline 2
Specification 2A
Teacher materials state clear and specific language objectives both for math practices as well as for academic purposes that cut across disciplines.
Specification 2B
Student materials contain mathematics and language learning objectives.
Specification 2C
Teacher materials articulate a pathway or progression of objectives for content, practices, and language throughout units.
Specification 2D
Materials present opportunities for students to use language at different stages within a unit, such as speculating or predicting about a new topic, exploring and reflecting during an experience, presenting afterwards, etc.
Guideline 3: Regular and varying opportunities to learn
Regular and varying opportunities to learn, reflect upon, and demonstrate learning of mathematics using a variety of modes and forms
Specifications for Guideline 3
Specification 3A
Activities deepen and extend learning through the various modes of communication: speaking, listening, reading, and writing.
Specification 3B
Materials include prompts for students to reflect on their own thought processes, language use, methods, and learning of mathematical content.
Specification 3C
Materials encourage students to utilize interdisciplinary words and phrases as well as math-specific words and phrases.