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Whole Number Knowledge And Number Lines Help To Develop Fraction Concepts, Catherine Pearn
Whole Number Knowledge And Number Lines Help To Develop Fraction Concepts, Catherine Pearn
Catherine Pearn
Many researchers have noted that students' whole number knowledge can interfere with their efforts to learn fractions. In this paper the authors discuss a teaching experiment conducted with students in Years 5 and 6 from an eastern suburban school in Melbourne. The focus of the teaching experiment was to use number lines to highlight students' understanding of whole numbers then fractions. The study used a screening test and interview using number lines to probe students' understanding of fractions as numbers. By using whole numbers on number lines first, the interview questions clearly helped many students to connect whole number and …
Why You Have To Probe To Discover What Year 8 Students Really Think About Fractions, Catherine Pearn, Max Stephens
Why You Have To Probe To Discover What Year 8 Students Really Think About Fractions, Catherine Pearn, Max Stephens
Catherine Pearn
Many researchers have noted how children's whole number schemes can interfere with their efforts to learn fractions. This paper examines the persistence of whole number schemes among 14 year-old students who appear to have successfully mastered routine algorithms for working with fractions. Uncovering whole number thinking among such students is therefore difficult, and is illustrated through the use of several probing interview tasks, revealing quite different forms of whole number thinking. These forms of thinking can give correct answers also making it difficult for teachers to identify incorrect thinking about fractions. Representations of fractions using number lines can assist in …
Probing Whole Number Dominance With Fractions, Max Stephens, Catherine Pearn
Probing Whole Number Dominance With Fractions, Max Stephens, Catherine Pearn
Catherine Pearn
Children's whole number schemes can interfere with their efforts to learn fractions. To what extent do these schemes persist for secondary school students? This paper reports on the development and piloting of an interview designed to identify and probe inappropriate whole number strategies for working with fractions among secondary students. The interview showed that these strategies are still prevalent among Year 8 students. Among others who use appropriate multiplicative strategies the interview showed that some of these are still not confident in challenging instances of inappropriate whole number thinking. [Author abstract]
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 …