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Symbolic Number is understanding the quantities represented by number words and numbers themselves. Symbolic Number knowledge is a key indicator for arithmetic and general math proficiency.
Symbolic Number skills also include understanding the relationships between different numbers and being able to compare the magnitudes of numbers.
CRA is a sequential instructional approach during which students move from working with concrete materials to creating representational drawings to using abstract symbols.
Students activate more cognitive processes by exploring and representing their understandings in visual form.
Continual use of foundational skills with different problems reinforces a conceptual understanding of math skills.
In explicit number naming, the structure of the number name labels the number in Place Value order and clearly states the quantity.
Free choice supports learner interests and promotes the development of more complex social interactions.
In guided inquiry, teachers help students use their own language for constructing knowledge by active listening and questioning.
Teaching students through guided play encourages them to take an active role in their learning and supports the development of a broad array of cognitive skills.
Math centers with math games, manipulatives, and activities support learner interests and promote the development of more complex math skills and social interactions.
Math games use numbers and Spatial Skills, allowing students to practice many math skills in a fun, applied context.
By talking through their thinking at each step of a process, teachers can model what learning looks like.
Providing physical representations of numbers and math concepts helps activate mental processes.
Easy access to seeing the relationships between numbers promotes number sense as students see these connections repeatedly.
Visual representations help students understand what a number represents as well as recognize relationships between numbers.
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.
Providing visuals to introduce, support, or review instruction activates more cognitive processes to support learning.
A word wall helps build the mathematical vocabulary and Language Skills that are necessary for problem solving.
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