ERIC Number: EJ863559
Record Type: Journal
Publication Date: 2009-Dec
Abstractor: As Provided
Reference Count: 0
The Development of Arithmetic Principle Knowledge: How Do We Know What Learners Know?
Prather, Richard W.; Alibali, Martha W.
Developmental Review, v29 n4 p221-248 Dec 2009
This paper reviews research on learners' knowledge of three arithmetic principles: "Commutativity", "Relation to Operands", and "Inversion." Studies of arithmetic principle knowledge vary along several dimensions, including the age of the participants, the context in which the arithmetic is presented, and most importantly, the type of knowledge assessment (e.g., application of procedures, evaluation of examples). The vast majority of studies utilize single-faceted knowledge assessments, which can lead to incomplete or misleading views of learners' knowledge. Both context and type of knowledge assessment can influence conclusions about learners' arithmetic principle knowledge. However, relatively few studies directly address the possible effects of context or type of knowledge assessment on their results. To move the field forward, research that utilizes multifaceted knowledge assessments is needed. (Contains 10 tables.)
Descriptors: Knowledge Level, Arithmetic, Mathematical Concepts, Context Effect, Student Evaluation, Age Differences, Literature Reviews, Mathematics Instruction, Educational Research
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
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