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Highlighting The Similarities And Differences Of The Mathematical Knowledge And Strategies Of Year 4 Students, Catherine Pearn
Highlighting The Similarities And Differences Of The Mathematical Knowledge And Strategies Of Year 4 Students, Catherine Pearn
Catherine Pearn
Research has shown that successful mathematics students use different types of strategies from those struggling with mathematics. Year 4 students were tested using the One Minute Tests of Basic Number Facts and a paper and pencil Number Screening Test developed by the author and colleagues. Observation of the students during the assessment procedures highlighted the vast difference in the students' speed and accuracy when recalling basic facts and the types of strategies they used when solving mathematical tasks. [Author abstract]
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 …
Mathematics Recovery : Frameworks To Assist Students' Construction Of Arithmetical Knowledge, Catherine Pearn
Mathematics Recovery : Frameworks To Assist Students' Construction Of Arithmetical Knowledge, Catherine Pearn
Catherine Pearn
Mathematics Recovery was the outcome of a three-year research and development project at Southern Cross University, conducted in 1992-5. The project received major funding from the Australian Research Council and major contributions in the form of teacher time, from regional government and Catholic school systems. Over the 3-year period, the project involved working in 18 schools with 20 teachers and approximately 200 participating first-grade students. MR can be regarded as consisting of two distinct but interrelated components. One component concerns an elaborated body of theory and practice for working with students, that is, teaching early number knowledge. The second component …
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 …