Papers by Joanne Mulligan
The role of dynamic imagery in children's representation of number
Overcoming language barriers in word problem solving: a framework for intervention
We describe a pedagogical approach aimed to assist second-grade Filipino children to solve additi... more We describe a pedagogical approach aimed to assist second-grade Filipino children to solve additive word problems in English, a language primarily encountered only in school. The impact of the intervention is exemplified through a case study of one child with sufficient understanding of additive structures but with poor English skills. The intervention provided linguistic and mathematical scaffolds focussed on linking the text, situation, and problem representations. Conveying additive part-whole concepts in Filipino using a range of representations strengthened knowledge of additive situations and facilitated success for English word problems. However, correct solutions did not necessarily imply coherent mappings between the strategy and the text.8 page(s
The development of a spatial reasoning assessment interview in the primary grades
Young Filipino Students Making Sense of Arithmetic Word Problems in English
Journal of science and mathematics education in Southeast Asia, 2009
Top drawer teachers: resources for teachers of mathematics: patterns
Children's conceptual understanding of decimal fractions
This paper reports three case studies of Year 5 students drawn from a longitudinal study of stude... more This paper reports three case studies of Year 5 students drawn from a longitudinal study of students' multiplicative reasoning. The analysis shows wide differences in students' conceptual understanding and strategy use across tasks involving decimal fractions. The high ability student demonstrated a strong link between decimal understanding and the base 10 numeration system. By comparison the lower ability student showed conceptual difficulties with decimals based on inappropriate utilization of base 10 material. The average ability student displayed conceptual confusion based on her treatment of decimals as whole numbers.
Teaching children to solve mathematical word problems in an imported language
Many Filipino children find mathematical word problems particularly difficult to solve because th... more Many Filipino children find mathematical word problems particularly difficult to solve because they are required to learn mathematics and solve problems in English, a language that many encounter only in school. This paper reports on one aspect of a two-year design study aimed to assist second-grade Filipino children solve additive word problems in English. With Filipino as the medium of instruction, an out-of-school pedagogical intervention providing linguistic and representational scaffolds was implemented with 17 children over 10 weeks. Pre-intervention, children experienced linguistic difficulties and were limited to conceptualising and solving simple additive structures. Post-intervention interviews revealed improved understanding of more complex structures, but only when linguistic difficulties were minimised.8 page(s
An assessment framework for early multiplication and division
Solutions of addition and subtraction word problems by Filipino public school children
22 page(s
Teaching Early Mathematics 'Smarter Not Harder': Using Open-ended Tasks to Build Models and Construct Patterns
Australian primary mathematics classroom, Sep 22, 2010
Children's strategies for solving two- and three-dimensional combinatorial problems: Commentary
Supporting mathematical thinking through pattern and structure: PAMPhlet 88
Measurement: A point of view
Children's solutions to multiplication and division word problems: interim report
The effectiveness of a dynamic professional development model using an online mathematics learning system
Pedagogical and assessment approaches in early childhood in mathematics teacher education
Count me in too: multiplication and division
Enhancing metacognitive monitoring and self-reporting of confusion in solving insight problems
Applied Cognitive Psychology, Jan 10, 2017
Reconceptualizing mathematics learning: Research initiatives in Australia
Classroom views of language in mathematics
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Papers by Joanne Mulligan