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Measurement involves identifying an abstract spatial or temporal component of an entity (e.g., length) and comparing it to a measure unit that has the same attribute (e.g., an inch, a minute) so that the component can be assigned a numerical value, readily reasoned with, and used in calculation. Measurement is the basis for scientific inquiry and provides access to other math concepts, including estimation, fractions, and Statistical Reasoning.
Proficiency in Measurement includes:
Providing math tasks with high cognitive demand conveys high expectations for all students by challenging them to engage in higher-order thinking.
Continual use of foundational skills with different problems reinforces a conceptual understanding of math skills.
Thinking of and about patterns encourages learners to look for and understand the rules and relationships that are critical components of mathematical reasoning.
Teaching students to recognize the structures of algebraic representations helps them transfer solution methods from familiar to unfamiliar problems.
Discussing strategies for solving mathematics problems after initially letting students attempt to problem solve on their own helps them understand how to organize their Algebraic Thinking and intentionally tackle problems.
Adding motions to complement learning activates more cognitive processes for recall and understanding.
In guided inquiry, teachers help students use their own language for constructing knowledge by active listening and questioning.
Spending time with new content helps move concepts and ideas into Long-term Memory.
Learning about students' cultures and connecting them to instructional practices helps all students feel like valued members of the community.
Math centers with math games, manipulatives, and activities support learner interests and promote the development of more complex math skills and social interactions.
Rhyming, alliteration, and other sound devices reinforce math skills development by activating the mental processes that promote memory.
By talking through their thinking at each step of a process, teachers can model what learning looks like.
Providing physical and virtual representations of numbers and math concepts helps activate mental processes.
Having students teach their knowledge, skills, and understanding to their classmates strengthens learning.
When teachers connect math to the students' world, students see how math is relevant and applicable to their daily lives.
Math games and manipulatives for vision differences support math development for learners with visual needs.
Children's literature can be a welcoming way to help students learn math vocabulary and concepts.
When students create their own number and word problems, they connect math concepts to their background knowledge and lived experiences.
Writing that encourages students to articulate their understanding of math concepts or explain math ideas helps deepen students' mathematical understanding.
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