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This document outlines the importance of focusing professional development on the Counting and Cardinality and Number and Operations in Base Ten domains for grades K-2. These foundational skills are essential for measurement and fluency with numbers. Key standards include 1.NBT.4 to 2.NBT.7, emphasizing the importance of understanding quantitative notions before introducing symbols. Resources like NCTM, Van der Walle, and UCLA materials are highlighted, alongside the need for new resources in teacher training, particularly regarding concepts like cardinality and place value.
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Grade Band: K–2 Domain: Counting and Cardinality, Number and Operations in Base Ten
Why this domain is a priority for professional development • Foundational for measurement
Key standards in this domain that pd should focus on • (2.NBT.2 -> 2.NBT.5 ->2.NBT.6) + (1.NBT.4 ->2.NBT.7) -> 2.NBT.9 (MP3) (Tasks 4 and 5 good illustration.) Two threads, captured by critical areas 1 and 2. Moving towards fluency with 2-digit numbersand problem solving with 3-digit numbers. • K.CC.4. Important to have a quantitative notion first before you attach a symbol (K.CC.1–3) • K.NBT.1->1.NBT.2->2.NBT.2. (MP6) Moving towards decomposing numbers into tens and ones. Often all about position and columns with no value.
Existing resources that support these domains and standards • Essential understanding of Number and Numeration, NCTM • Van der Walle • National Library of Digital Manipulatives • UCLA materials (two quarter sequence called number power 1 and number power 2) • DMI • Teaching number in the classroom (Wright et al)
Domains and standards that are in need of new resources • K.CC.4. Language is new to some teachers (“cardinality”). • K.NBT.1+1.NBT.2. Teachers might think they know because “I already teach place value”, without understanding the connection with quantities. • Building visual models for addition and subraction