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The Development Of Mathematical Strategies In The Early Years, Catherine Pearn
The Development Of Mathematical Strategies In The Early Years, Catherine Pearn
Catherine Pearn
Current research has shown that children develop a repertoire of mathematical strategies by progressing though five 'counting stages'. These are: perceptual - students are limited to counting those items they can perceive; figurative - students count from one when solving addition problems with screened collections; initial number sequence - students can now count on to solve addition and missing add-end problems with screened collections; implicitly nested number sequence - students are able to focus on the collection of unit items as one thing, as well as the abstract unit items; explicitly nested number sequence - students are simultaneously aware of …
Fractions : Using The Measurement Model To Develop Understanding, Catherine Pearn
Fractions : Using The Measurement Model To Develop Understanding, Catherine Pearn
Catherine Pearn
Several researchers have noted how children's whole number schemes can interfere with their efforts to learn fractions. An Australian study found that children who were successful with the solution of the rational number tasks exhibited greater whole number knowledge and more flexible solution strategies. Behr and Post (1988) indicated that children needed to be competent in the four operations of whole numbers, along with an understanding of measurement, to enable them to understand rational numbers. The workshop session described in this paper was a 'hands-on' session that focused on the use of paper folding, fraction walls and number lines to …
Assessing Rational Number Knowledge In The Middle Years Of Schooling, Catherine Pearn
Assessing Rational Number Knowledge In The Middle Years Of Schooling, Catherine Pearn
Catherine Pearn
Success in Numeracy Education (SINE) is the major numeracy approach being implemented in Victorian Catholic schools. SINE is designed to assist teachers to identify the mathematical understanding of the students they teach and to develop activities to help all students to progress at their relative level of understanding. Two components of SINE have been piloted and implemented: SINE Prep to Year 4 and SINE Years 5 and 6. This paper focuses on work with fractions being undertaken as part of the pilot program for SINE Years 5-8. There has been considerable research into the difficulties experienced by students learning fractions …