Mathematics
What this domain tests
This domain assesses your ability to build foundational number sense, geometry, measurement, data, and patterns through play and everyday routines. Questions emphasize developmental sequencing and the mathematical practices, not memorized procedures.
Core rules and concepts
- Counting has five principles: stable order, one-to-one correspondence, cardinality, abstraction, and order irrelevance. Rational counting requires all five.
- Subitizing-instantly recognizing small quantities-precedes and supports numeral learning.
- Teach numerals only after children connect quantity to number words; avoid flashcard-first instruction.
- Geometry: names and attributes of shapes, composing and decomposing shapes, and spatial language such as above, beside, and behind.
- Measurement: direct comparison (longer/shorter, heavier/lighter), then nonstandard units; avoid rulers in pre-K.
- Data: sorting, classifying, and simple graphs using real objects or pictures.
- Patterns: recognize, copy, extend, and create AB and AABB patterns.
Worked example
A child counts five bears correctly but, when asked “How many?”, recounts and says “three.” Reasoning: the child has one-to-one correspondence but not stable cardinality. The teacher should model counting, then say the total once (“one, two, three, four, five-five bears”) and ask the child to repeat the final number, rather than drilling numeral cards.
Traps that cost marks
Don’t confuse rote counting with rational counting. Don’t teach addition facts or worksheets as pre-K math. Don’t skip concrete manipulatives for abstract symbols. Don’t ask “which is more?” without matching or comparison experiences.