Similarly,
in a three-year longitudinal study (age 5 through a mean of 8 years and 8
months), Krajewski and Schneider (2009) examine the relationship between the
roles of counting and understanding quantity and mathematics achievement at the
elementary level. The authors divided
understanding of numbers into two levels. Level 1 consists of basic numerical
skills, or understanding number and word sequences. Level 2 consists of linking
number words with quantities, including the ability to compare quantities and
understand cardinality—the idea that a quantity can be represented by a number.
Their findings indicate that success with level 1 topics predicts success with
level 2 topics, which in turn predicts mathematics achievement in fourth grade.
Because
early math competencies and understanding predict achievement in the elementary
grades, bolstering preschoolers’ counting and other mathematical understandings
is essential.
Borrowed from NAEYC,
Exploring Math, Spotlight on Young Children (2012).
References:
Jordan,
N.C., D. Kaplan, C. Ramineni & M.N. Locuniak. 2009. “Early Math Matters:
Kindergarten Number Competence and Later Math Outcomes.” Developmental Psychology 45 (3): 850-67.
Krajewski,
k. & W. Scheider. 2009. “Exploring the Impact of Phonological Awareness,
Visual-Spatial Working Memory, and Preschool Quantity—Number Competencies in
Mathematics Achievement in Elementary School: Findings from a 3-Year
Longitudinal Study.” Journal of
Experimental Psychology 103 (4): 516-31.
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