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Patrick Pieng; Lisa M. Weckbacher; Yukari Okamoto – Early Childhood Education Journal, 2025
The present study compared Japanese and U.S. preschool children's knowledge of geometric shapes. The main goal was to explore if differences in shape-naming conventions in Japanese and English could explain differences in children's understanding of geometric shapes. In ancient Chinese-based languages (e.g., Japanese), all standard 2D shapes…
Descriptors: Foreign Countries, Preschool Children, Preschool Education, Geometric Concepts
Vale, Colleen; Widjaja, Wanty; Doig, Brian; Groves, Susie – Mathematics Education Research Journal, 2019
Structured problem-solving lessons are used to explore mathematical concepts such as pattern and relationships in early algebra, and regularly used in Japanese Lesson Study research lessons. However, enactment of structured problem-solving lessons which involves detailed planning, anticipation of student solutions and orchestration of whole-class…
Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Mathematical Concepts
Matlen, Bryan J.; Richland, Lindsey E.; Klostermann, Ellen C.; Lyons, Emily – Grantee Submission, 2018
Mathematical problem solving typically involves manipulating visual symbols (e.g., equations), and prior research suggests that those symbols serve as diagrammatic representations (e.g., Landy & Goldstone, 2010). The present work examines the ways that instructional design of student engagement with these diagrammatic representations may…
Descriptors: Visual Aids, Mathematics Instruction, Instructional Effectiveness, Incidence
Foster, Colin; Wake, Geoffe; Swan, Malcolm – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
Although the importance of mathematical problem solving is now widely recognised, relatively little attention has been given to the conceptualisation of mathematical processes such as representing, analysing, interpreting and communicating. The construct of Mathematical Knowledge for Teaching (Hill, Ball & Schilling, 2008) is generally…
Descriptors: Mathematics Instruction, Problem Solving, Communities of Practice, Knowledge Base for Teaching
Liljedahl, Peter, Ed.; Nicol, Cynthia, Ed.; Oesterie, Susan, Ed.; Allan, Darien, Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…
Descriptors: Foreign Countries, Mathematics Education, Educational Psychology, Educational Research

Matsuhita, Kayo – Human Development, 1994
Pragmatic and semantic problem solving are examined as processes that enhance acquisition of mathematical knowledge. It is suggested that development of mathematical cognition involves restructuring and that math teachers can help restructure children's knowledge systems by providing them with situations in which semantic and pragmatic problem…
Descriptors: Abstract Reasoning, Children, Cognitive Development, Cognitive Processes