Number Sense and Quantity Recognition
Understanding the concept of quantity, number composition, and place value through concrete objects and visual representations
What the research says
Referenced across 1 developmental framework: japan_math
Full quotes, source languages, and document links coming soon as we finish the source-evidence indexing pass.
Normative evidence
1 source back this milestone. The bars below show the age range each source covers.
Before this (2)
How it's taught
Uses concrete manipulatives (blocks, counters) progressing to pictorial representations and abstract symbols. Emphasizes understanding of place value through bundling activities (10 ones = 1 ten). Frequent use of number lines and hundred charts.
Materials: Base-ten blocks, counting beads, number cards, hundred charts, number lines
What mastery looks like
Cannot consistently count objects or recognize numbers
- Struggles to count objects beyond 5
- Cannot recognize written numerals
- Does not understand one-to-one correspondence
Beginning to count objects and recognize numbers with support
- Counts objects up to 10 with concrete materials
- Recognizes some single-digit numerals
- Beginning to understand grouping by tens
Can count and work with numbers within expected range with occasional errors
- Counts and compares quantities up to 100
- Understands place value for 2-digit numbers
- Can represent numbers using concrete objects and diagrams
Confidently works with numbers, understands place value, and can represent quantities in multiple ways
- Fluently counts, compares, and orders numbers to 1000
- Understands place value including hundreds
- Can decompose and compose numbers flexibly
- Uses number lines effectively
Demonstrates deep understanding of number systems and can apply concepts to novel situations
- Explains number relationships and patterns
- Applies place value understanding to larger numbers independently
- Creates own representations to solve problems
- Recognizes and uses number properties strategically
Formal assessments
No matching assessment items indexed yet.
Standardised assessment view
1 instrument measure this construct. The construct page shows how each one approaches it and at what age range.
View as assessment construct →