Mathematics Instruction & Numeracy Flashcards

A kindergartner counts a set of 6 blocks and, when asked 'How many?', recounts all of them. Which counting principle has the child not yet mastered?

Answer: Cardinality

Cardinality is understanding that the last number said tells how many are in the whole set.

Which activity best builds subitizing skills in early learners?

Answer: Briefly flashing dot cards and asking how many dots were seen

Subitizing is instantly recognizing small quantities without counting, which quick dot-card flashes develop.

A teacher reads a story problem aloud and students struggle with the word 'altogether.' What is the most appropriate instructional response?

Answer: Explicitly teach the meaning of the term using concrete models and context

Explicit vocabulary instruction in context builds understanding rather than reliance on unreliable keyword tricks.

Which sequence reflects the concrete-representational-abstract (CRA) approach?

Answer: Base-ten blocks, then drawings of blocks, then numerals and symbols

CRA moves from hands-on objects to pictures to symbolic notation.

A student solves 8 + 5 by thinking '8 + 2 = 10, then 3 more is 13.' Which strategy is this?

Answer: Making ten

Decomposing 5 into 2 and 3 to reach 10 is the make-a-ten strategy.

Which assessment would best reveal a first grader's understanding of place value?

Answer: Asking the student to show 34 with tens rods and ones cubes and explain

Representing and explaining a two-digit number with base-ten models shows understanding of tens and ones.

Why is mathematical discourse, such as explaining reasoning to a partner, valuable for English learners?

Answer: It develops both academic language and conceptual understanding

Structured math talk builds academic vocabulary alongside deeper understanding of concepts.