PECT Mathematics Instruction for PreK-4 2 — Questions and Answers
Question 1: Which of the following is a concrete, hands-on strategy for teaching addition to kindergarteners?
- Completing addition worksheets with written problems
- Using counting bears to combine two groups and count the total (Correct answer)
- Memorizing addition facts through flashcard drills
- Watching a teacher demonstrate on the board
Correct answer: Using counting bears to combine two groups and count the total
Using physical manipulatives to combine groups and count the total supports the concrete stage of mathematical understanding in young learners.
Question 2: Number sense in early childhood includes the understanding that:
- Numbers are only used for counting objects
- Numbers represent quantities and have relationships to each other (Correct answer)
- Arithmetic operations should be memorized first
- Numerals are drawn the same way in all cultures
Correct answer: Numbers represent quantities and have relationships to each other
Number sense encompasses the ability to understand quantity, number relationships, magnitude, and how numbers can be composed and decomposed.
Question 3: A PreK teacher uses a hundreds chart to help students identify number patterns. This activity primarily supports:
- Geometry skills
- Number and operations — specifically patterns and counting (Correct answer)
- Data analysis
- Measurement concepts
Correct answer: Number and operations — specifically patterns and counting
Hundreds charts help children see numerical patterns, skip-counting sequences, and the structure of the base-ten number system.
Question 4: Which shape property should kindergarteners understand, according to NCTM standards?
- The formula for calculating area
- Names, sides, and vertices of basic 2-D shapes (Correct answer)
- Coordinate geometry and plotting points
- Congruence and symmetry of complex polygons
Correct answer: Names, sides, and vertices of basic 2-D shapes
NCTM expects kindergarteners to recognize and describe basic 2-D shapes by naming them and identifying attributes like number of sides and corners.
Question 5: The concept of conservation of number means that:
- Large numbers are worth more than small numbers
- A quantity remains the same even when objects are rearranged (Correct answer)
- Counting should always start from the number one
- Numbers can be conserved in memory through repetition
Correct answer: A quantity remains the same even when objects are rearranged
Conservation of number, a Piagetian concept, is the understanding that the number of objects does not change when they are rearranged or spread out.
Question 6: Which approach to math instruction best supports PreK-4 students with diverse learning needs?
- Teaching the same lesson to all students at the same pace
- Using only abstract symbols and equations
- Providing multiple representations: concrete, pictorial, and abstract (Correct answer)
- Focusing exclusively on memorization of number facts
Correct answer: Providing multiple representations: concrete, pictorial, and abstract
The CPA (Concrete-Pictorial-Abstract) progression supports diverse learners by building understanding from hands-on manipulatives to pictures to symbols.
PECT Mathematics Instruction for PreK-4 2
Which of the following is a concrete, hands-on strategy for teaching addition to kindergarteners?