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Norton, Anderson; Ulrich, Catherine; Bell, Martha Ann; Cate, Anthony – The Mathematics Educator, 2018
The emerging field of mathematics educational neuroscience provides researchers with new approaches to understanding mathematical development, as well mathematics itself. This paper focuses on the role of the hand in constructing mathematics through activity. We rely on Piaget's distinction of three kinds of activity: sensorimotor activity,…
Descriptors: Mathematics Instruction, Mathematics Activities, Neurosciences, Piagetian Theory
Norton, Anderson; Wilkins, Jesse L. M.; Evans, Michael A.; Deater-Deckard, Kirby; Balci, Osman; Chang, Mido – Mathematics Teaching in the Middle School, 2014
The authors introduce an educational video game (application, or "app"), "CandyFactory Educational Game," designed to promote students' development of partitive understanding of fractions while demonstrating the critical need to promote that development. The app includes essential game features of immediate feedback,…
Descriptors: Video Games, Educational Games, Mathematics Curriculum, Mathematics Activities
Rutledge, Zachary; Norton, Anderson – Mathematics Educator, 2008
This article provides detailed analysis, from a radical constructivist perspective, of a sequence of letter-writing exchanges between a preservice secondary mathematics teacher and a high school student. This analysis shows the ways in which the preservice teacher gained understanding of the high school student's mathematics and attempted to pose…
Descriptors: Constructivism (Learning), Secondary School Mathematics, Preservice Teachers, Mathematics Teachers