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McCluskey, Catherine; Mulligan, Joanne; Mitchelmore, Mike – Mathematics Education Research Group of Australasia, 2016
The mathematical proficiencies in the "Australian Curriculum: Mathematics" of understanding, problem solving, reasoning, and fluency are intended to be entwined actions that work together to build generalised understandings of mathematical concepts. A content analysis identifying the incidence of key proficiency terms (KPTs) embedded in…
Descriptors: Foreign Countries, Abstract Reasoning, Thinking Skills, National Curriculum
Bautista, Debbie; Mulligan, Joanne; Mitchelmore, Michael – Journal of Science and Mathematics Education in Southeast Asia, 2009
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…
Descriptors: Reading Strategies, Word Problems (Mathematics), Subtraction, English (Second Language)

Watson, Jane; Mulligan, Joanne – Mathematics Education Research Journal, 1990
A mapping procedure based on the SOLO Taxonomy developmental model was used to classify the problem-solving strategies of students (n=34) in grades K-2. Only one multiplication problem was used to isolate three components of the problem-solving procedure. (MDH)
Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Structures, Cognitive Style
Mulligan, Joanne; Prescott, Anne; Mitchelmore, Michael – International Group for the Psychology of Mathematics Education, 2004
In a descriptive study of 103 grade 1 children, including 16 longitudinal case studies, we investigated the use of mathematical structure across a range of mathematical tasks. Children's structural development was inferred from their imagistic representations, supported by analysis of problem-solving behavior during videotaped task-based clinical…
Descriptors: Grade 1, Mathematics Instruction, Longitudinal Studies, Case Studies