Reflection on book (Early Childhood Mathematics)
--- Developing Number Sense ---
“Number sense is using common sense based on the way numbers and tools of measurement work within a given culture.” “Developing number sense begins at a young age” (p. 90).
How to develop number sense
- Nursery rhymes and counting books: early language experience
- Children’s literature and art
- Guided learning activities: counting rhymes, finger play or movement, counting line, row, circle games, celebrating “100 days”, and thinking in groups
- Counting-on activities: bag games, hand games, and movement games
- Counting-back activities: counting back when picking up toys
- Part-part-whole activities
Piaget’s tests of conservation
Piaget said that “Classification, order, and seriation were the proper topics for the early childhood classroom” (p. 94).
“The intentional teacher pays careful attention to the research on how young children think about counting numbers. This mind-fullness results in experiences that guide development of concepts and skills in these important areas” (p.108).
Numerals: written symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
- Activity; numeral cards
- Concept; children will develop an awareness of the name and symbol (p. 103)
Instant visual recognition (Thinking in group)
“Ten frame”
- Activity; teacher makes pattern. Children copy it and call-out number without counting
- Concept; children reach goal of instant recognition and strengthen a child’s sense of relations between numbers especially 5 and 10 (p. 103).
Reading and writing numerals (p. 103) *similar to Montessori method
- Tracing a finger over sandpaper numerals
- Forming the numerals with clay
- Tracing the numerals using templates
- Forming the letters in wet sand or salt
- Forming the numerals on a chalkboard
- Following teacher’s directions using cue words
Fractions and Number Sense (p. 105)
NCTM (National Council of Teachers of Mathematics) Standard 1, number and operations, is that students in the preK-2 age will be able to understand basic fractions.
- Partitioning; sharing equally
- Equivalence; something is the same
Learning fractions through 1) part-whole, and 2) quotient interpretation.
Reflection on class
I realized how important the three period lesson and repetition again.
1) First; isolation, short time
2) Second; take longer time
3) Third; isolation, short time