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Russo, James; Hopkins, Sarah – Australian Primary Mathematics Classroom, 2017
This paper outlines a seven-step process for developing problem-solving tasks informed by cognitive load theory. Through an example of a task developed for Year 2 students, we show how this approach can be used to produce challenging mathematical tasks that aim to optimise cognitive load for each student.
Descriptors: Mathematics Activities, Cognitive Processes, Difficulty Level, Curriculum Design
Jazby, Dan; Pearn, Cath – Mathematics Education Research Group of Australasia, 2015
When viewed through a lens of embedded cognition, algorithms may enable aspects of the cognitive work of multi-digit multiplication to be "offloaded" to the environmental structure created by an algorithm. This study analyses four multiplication algorithms by viewing different algorithms as enabling cognitive work to be distributed…
Descriptors: Multiplication, Mathematics Activities, Mathematics Instruction, Cognitive Processes
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Reading, Chris – Statistics Education Research Journal, 2004
Variation is a key concept in the study of statistics and its understanding is a crucial aspect of most statistically related tasks. This study aimed to extend and apply a hierarchy for describing students' understanding of variation that was developed in a sampling context to the context of a natural event in which variation occurs. Students aged…
Descriptors: Weather, Classification, Secondary School Students, Student Evaluation
Chick, Helen L., Ed.; Vincent, Jill L., Ed. – International Group for the Psychology of Mathematics Education, 2005
The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…
Descriptors: Educational Theories, Elementary School Mathematics, Semiotics, Mathematics Education