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Wilkins, Jesse L. M.; Norton, Anderson – Journal for Research in Mathematics Education, 2011
Teaching experiments have generated several hypotheses concerning the construction of fraction schemes and operations and relationships among them. In particular, researchers have hypothesized that children's construction of splitting operations is crucial to their construction of more advanced fractions concepts (Steffe, 2002). The authors…
Descriptors: Mathematics, Experiments, Teaching Methods, Cognitive Processes
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Warren, Elizabeth; Benson, Samantha; Green, Sandra – Australian Primary Mathematics Classroom, 2007
The concept of a function is fundamental to virtually every aspect of mathematics and every branch of quantitative science. Presently this type of thinking is carolled at the secondary level, and yet it has many benefits for deepening the understanding of early arithmetic. This is particularly so in the way that operations can be considered as…
Descriptors: Constructivism (Learning), Active Learning, Algebra, Mathematics Instruction
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Barlow, Angela T.; Reddish, Jill Mizell – Mid-Western Educational Researcher, 2005
As universities strive to produce the best mathematics teachers possible through both graduate and undergraduate programs, teacher educators must constantly work towards helping teacher candidates create their own conceptual understanding of mathematics. This pilot study examined the effect teaching in a constructivist manner had on teacher…
Descriptors: Constructivism (Learning), Mathematics Teachers, Arithmetic, Teacher Educators