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Rebecca Patterson

Baby's innate number sense predicts math skills | Futurity - 0 views

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    "When children are acquiring the symbolic system for representing numbers and learning about math in school, they're tapping into this primitive number sense," says Elizabeth Brannon, a professor of psychology and neuroscience at Duke University, who led the study. "It's the conceptual building block upon which mathematical ability is built." Understanding how infants and young children conceptualize and understand number can lead to the development of new mathematics education strategies, says psychology and neuroscience graduate student Ariel Starr. In particular, this knowledge can be used to design interventions for young children who have trouble learning mathematics symbols and basic methodologies. "Our study shows that infant number sense is a predictor of symbolic math," Brannon says. "We believe that when children learn the meaning of number words and symbols, they're likely mapping those meanings onto pre-verbal representations of number that they already have in infancy," she says. "In fact our infant task only explains a small percentage of the variance in young children's math performance. But our findings suggest that there is cognitive overlap between primitive number sense and symbolic math. These are fundamental building blocks."
Rebecca Patterson

PLOS ONE: Adolescents' Functional Numeracy Is Predicted by Their School Entry Number Sy... - 0 views

  • One in five adults in the United States is functionally innumerate; they do not possess the mathematical competencies needed for many modern jobs.
  • Measures used in these economic studies typically include word problems that require whole number arithmetic, fractions, simple algebra, and measurement, with performance on these tests predicting employability and wages in adulthood, controlling for other factors
  • Previous studies revealed that some aspects of young children’s basic knowledge of counting, numbers, and simple arithmetic predicts later mathematics achievement; specifically, skill at judging the relative magnitudes of Arabic numerals, the sophistication of the approaches they use to solve arithmetic problems, and an understanding of the mathematical number line
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  • The four most common strategies were counting fingers, verbal counting, retrieval (quickly stating an answer and describing they “just remembered”), and decomposition (describing that they solved the problem by decomposing one addend and successively adding these smaller sets to the other addend; e.g., 17+8 = 17+3+5).
  • finger-counting trials have the longest RTs, followed respectively by verbal counting, decomposition, and direct retrieval
  • At school entry, this emerging knowledge of the number system includes an understanding of the relative magnitude of numerals, their ordering, and the ability to combine and decompose them into smaller and larger numerals and to use this knowledge to solve arithmetic problems.
  • At the same time, children’s skill at using counting procedures to solve addition problems at the beginning of first grade was not predictive of their later functional numeracy scores, holding other factors constant.
  • In short, the functional numeracy assessment appears to capture individual differences in adolescents’ developing economically-relevant competencies above and beyond those captured by standard mathematics achievement tests.
  • Children scoring in the bottom quartile on the numeracy measure in seventh grade started school behind their peers in number system knowledge and showed less rapid growth from first to second grade, but typical growth thereafter.
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    ..Whole number arithmetic, fractions, simple algebra, and measurement, with performance on these tests predicting employability and wages in adulthood, controlling for other factors.
Rebecca Patterson

Mathematics Education in Its Cultural Context - Springer - 0 views

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    The understanding is that mathematics is universal, but in reality is it culturally defined: ie, measurement & conversions.
Rebecca Patterson

Between Politics and Equations - 0 views

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    Critical Mathematics in the classroom. RL has this journal Vol50 Num5 Oct13 pg1050
Rebecca Patterson

A Proposed Framework for Examining Basic Number Sense - 0 views

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    A Proposed Framework for Examining Basic Number Sense Two scenarios: Story of a boy adding two-digit numbers and clerk taking 50% off. JSTOR: For the Learning of Mathematics, Vol. 12, No. 3 (Nov., 1992), pp. 2-8, 44
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