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Download full textBofferding, Laura; Farmer, Sherri – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
The language that students use with whole numbers can be insufficient when learning integers. This is often the case when children interpret addition as "getting more" or "going higher." In this study, we explore whether instruction on mapping directed magnitudes to operations helps 88 second graders and 70 fourth graders solve…
Descriptors: Mathematics Instruction, Numbers, Language Usage, Teaching Methods
Direct linkLaski, Elida V.; Dulaney, Alana – Journal of Educational Psychology, 2015
The present study tested the "interference hypothesis"-that learning and using more advanced representations and strategies requires the inhibition of prior, less advanced ones. Specifically, it examined the relation between inhibitory control and number line estimation performance. Experiment 1 compared the accuracy of adults' (N = 53)…
Descriptors: Prior Learning, Learning Processes, Inhibition, Interference (Learning)
Merenluoto, Kaarina – International Group for the Psychology of Mathematics Education, 2003
The starting point for this study was the resistant nature of prior knowledge in conceptual change from natural numbers to rational numbers observed in our previous study. Thus, in this study the effects of deliberately teaching the abstraction of the density of numbers on the number line was tested in a quasi-experimental study at the beginning…
Descriptors: Control Groups, Numbers, Prior Learning, Number Concepts
