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Linearity is knowing that the distance between each consecutive number is the same. Children begin considering numbers on a logarithmic scale (e.g., believing the difference between 0 and 1 is much larger than from 10 to 11) and develop a linear understanding over time.
A linear understanding of number is fundamental for the development of Estimation skills, magnitude understanding, and arithmetic performance. Typically, most children develop Linearity; however, the rate at which they do may impact their math performance.
Continual use of foundational skills with different problems reinforces a conceptual understanding of math skills.
Daily review strengthens previous learning and can lead to fluent recall.
Thinking of and about patterns encourages learners to look for and understand the rules and relationships that are critical components of mathematical reasoning.
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.
Practicing until achieving several error-free attempts is critical for retention.
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.
Easy access to seeing the relationships between numbers promotes number sense as students see these connections repeatedly.
When teachers connect math to the students' world, students see how math is relevant and applicable to their daily lives.
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