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- Michael C. Mitchelmore
- The Journal of genetic psychology
- 1978

Styles of representing regular three-dimensional figures were studied in a sample of 80 Jamaican boys and girls 7- to 15-years-old. Each child drew five common solids under short and long exposure conditions. Inspection of children's drawings of four of the solids suggested a developmental sequence of four stages (plane schematic, solid schematic,… (More)

ion in Mathematics Learning Michael Mitchelmore and Paul White Abstraction has been a frequent discussion topic since the days of Aristotle and Plato. Constructivist theories often espouse the notion of levels of abstraction. Hiebert and Lefevre (1986, pp. 4-5) put it this way:ion has been a frequent discussion topic since the days of Aristotle and Plato.… (More)

- Michael C. Mitchelmore
- Nursing standard (Royal College of Nursing (Great…
- 1996

The majority of studies on back injury have been quantitative in nature, focusing on ergonomic or financial implications of back injury problems for trusts and the profession. The psychological and social effects upon the individual suffering the injury have largely been ignored. This qualitative study sought to redress the balance by examining why injuries… (More)

Two-year longitudinal case studies of 16 Sydney children extended a study of 103 first graders' use of structure across a range of mathematical tasks. We describe how individual's representations change through five stages of structural development. Children at the pre-structural stage showed inconsistent development presenting disorganised representations… (More)

ION IN MATHEMATICS What does it mean to say that mathematics is “abstract”? Mathematics is a self-contained system separated from the physical and social world: Mathematics uses everyday words, but their meaning is defined precisely in relation to other mathematical terms and not by their everyday meaning. Even the syntax of mathematical argument is… (More)

Mean scores on the New South Wales Basic Skills Test (BST) in the period 1996-2002 among 71 Count Me In Too (CMIT) schools from across the whole of the state were analysed. In conjunction, background data on the schools and their staff perceptions of CMIT were gathered. The results showed that the mean Year 3 BST numeracy score increased steadily and… (More)

The theory of Teaching for Abstraction was used to construct a unit for teaching percentages in Grade 6. The unit focused on percentage as a multiplicative relationship and put more emphasis on why percentages are used than on how they are calculated. Analysis of the data collected showed that many students did learn to apply percentages meaningfully,… (More)

Young Filipino children are expected to solve mathematical word problems in English, a task which they typically encounter only in schools. In this exploratory study, task-based interviews were conducted with seven Filipino children from a public school. The children were asked to read and solve addition and subtraction word problems in English or Filipino.… (More)

This paper provides an interim report of a large empirical evaluation study in progress. An intervention was implemented to evaluate the effectiveness of the Pattern and Structure Mathematical Awareness Program (PASMAP) on Kindergarten students’ mathematical development. Four large schools (two from Sydney and two from Brisbane), 16 teachers and their 316… (More)

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