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Devin's Construction of a Multiplicative Double Counting Scheme: Dual Anticipation of Start and Stop
Download full textRisley, Rachael; Hodkowski, Nicola M.; Tzur, Ron – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
In this case study with Devin (pseudonym), which was part of a larger, constructivist teaching experiment with students identified as having learning difficulties in mathematics, we examine how a fourth grader constructed a dual anticipation involved in monitoring when to start and when to stop the simultaneous count of composite units (numbers…
Descriptors: Case Studies, Constructivism (Learning), Teaching Methods, Grade 4
Direct linkStephan, Michelle; Akyuz, Didem – Journal for Research in Mathematics Education, 2012
This article presents the results of a 7th-grade classroom teaching experiment that supported students' understanding of integer addition and subtraction. The experiment was conducted to test and revise a hypothetical learning trajectory so as to propose a potential instructional theory for integer addition and subtraction. The instructional…
Descriptors: Mathematics Education, Numbers, Concept Formation, Subtraction
Peer reviewedHartnett, Patrice; Gelman, Rochel – Learning and Instruction, 1998
Two studies involving 110 and 91 children aged 5 to 7 years show that children's knowledge of counting and addition facilitated their acquisition of a concept not taught in school, that every number has a natural successor (Successor Principle). Even the oldest children could not rank order correctly numbers that contained fractional notations.…
Descriptors: Addition, Age Differences, Computation, Concept Formation
