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Qiong Yu; Yi Ding; Yifan Wang; Chun Zhang; Akane Zusho – AERA Online Paper Repository, 2024
This study investigated the effects of working memory load (WML) and automaticity on mental addition through an examination of both task and individual characteristics within the framework of cognitive load theory. Results from 73 fourth graders showed that WML, automaticity, and their interaction had significant effects on mental addition.…
Descriptors: Short Term Memory, Mental Computation, Addition, Elementary School Students
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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
Qiong Yu – ProQuest LLC, 2021
This study investigated the effects of WML and automaticity on mental addition through an examination of both task and individual characteristics within the framework of cognitive load theory. Seventy-three fourth-grade students in New York City public schools completed the Digit Span-Backward task of the Wechsler Intelligence Scale for…
Descriptors: Short Term Memory, Mental Computation, Addition, Elementary School Students
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Brez, Caitlin C.; Miller, Angela D.; Ramirez, Erin M. – Journal of Cognition and Development, 2016
Numerical estimation has been used to study how children mentally represent numbers for many years (e.g., Siegler & Opfer, 2003). However, these studies have always presented children with positive numbers and positive number lines. Children's mental representation of negative numbers has never been addressed. The present study tested children…
Descriptors: Cognitive Processes, Numeracy, Numbers, Grade 2
Heirdsfield, Ann M. – International Group for the Psychology of Mathematics Education, 2003
The focus of this study was to investigate mental computation conceptual frameworks that Heirdsfield (2001c) formulated to explain the difference between proficient (accurate and flexible) mental computers and accurate (but not flexible) mental computers. A further aim was to explore the potential for students' developing efficient mental…
Descriptors: Mental Computation, Mathematical Logic, Mathematics Instruction, Cognitive Processes