Hover to see how factors connect to Place Value. Then click connected factors to explore strategies related to multiple factors.
Our number system involves the digits 0 to 9 representing different values (units, 10s, 100s, etc.) based on their placement in a number. Students develop their understanding of the base-10 system as they explore number size and relations.
Base-10 knowledge is fundamental for early math skills like decomposing, which involves breaking numbers into parts, and can impact a student's understanding of more complex math, like multi-digit Operations.
As students solve problems in a group, they learn new strategies and practice communicating their mathematical thinking.
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.
Daily review strengthens previous learning and can lead to fluent recall.
In explicit number naming, the structure of the number name labels the number in Place Value order and clearly states the quantity.
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.
When students have meaningful conversations about math and use math vocabulary, they develop the thinking, questioning, and explanation skills needed to master mathematical concepts.
By talking through their thinking at each step of a process, teachers can model what learning looks like.
Visualizing how ideas fit together helps students construct meaning and strengthen recall.
Providing physical representations of numbers and math concepts helps activate mental processes.
Visual representations help students understand what a number represents as well as recognize relationships between numbers.
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.
Three-phase lesson format is a problem-solving structure to promote meaningful math learning by activating prior knowledge, letting students explore mathematical thinking, and promoting a math community of learners.
Providing visuals to introduce, support, or review instruction activates more cognitive processes to support learning.
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