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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
Russo, James; Hopkins, Sarah – Journal of Educational Research, 2019
Engaging students in a challenging (cognitively demanding) task and launching a mathematics lesson with a task before instruction are two characteristics of a reform-oriented approach to mathematics instruction often considered together. The authors systematically contrasted teaching with challenging tasks using a task-first lesson structure with…
Descriptors: Mathematics Instruction, Elementary School Mathematics, Grade 1, Grade 2
Hopkins, Sarah; Russo, James – Mathematics Education Research Group of Australasia, 2017
The current study compared the rate at which problem-based practice increased the use of retrieval-based strategies for students identified as displaying accurate min-counting with students identified as displaying almost proficient performance. The findings supported the prediction that the rate at which problem-based practice promoted retrieval…
Descriptors: Mathematics Instruction, Teaching Methods, Problem Based Learning, Mathematics Skills
Hopkins, Sarah; de Villiers, Celeste – Mathematics Education Research Group of Australasia, 2016
Despite the importance placed on how children come to solve single-digit addition problems, many children count on to solve these problems when they are expected to use accurate retrieval-based strategies. In this study, we assessed if a subitising intervention improved the rate at which problem-solving practice promoted retrieval, using a…
Descriptors: Problem Solving, Intervention, Educational Practices, Grade 3

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