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Hopkins, Sarah; Russo, James; Siegler, Robert – Mathematical Thinking and Learning: An International Journal, 2022
There is a growing awareness that many children are not developing fast and accurate retrieval-based strategies for solving single-digit addition problems. In this study we individually assessed 166 third and fourth grade children to identify a group of children (called accurate-min-counters) who frequently solved simple single-digit addition…
Descriptors: Addition, Grade 3, Grade 4, Elementary School Students
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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
Russo, James; Hopkins, Sarah – Mathematics Education Research Group of Australasia, 2017
The current investigation systematically contrasted teaching with cognitively demanding (challenging) tasks using a task-first lesson structure with that of a teach-first lesson structure in a primary school setting (Year 1 and 2). The findings indicate that there is more than one way of incorporating challenge tasks into mathematics lessons to…
Descriptors: Cognitive Processes, Difficulty Level, Elementary School Mathematics, Mathematics Instruction