The Elementary School Journal · 2004 · 898 citations · 17 references
EducationEducational MeasurementMathematics EducationElementary Mathematics EducationPsychometricsScale DevelopmentFactor AnalysisMathematical KnowledgeMathematics PedagogyNumber SenseAlgebra TeachingContent Knowledge AssessmentsMathematical Knowledge For TeachingMathematical PedagogyMathematics Teacher BeliefsTeacher Knowledge Development
The article aims to design and empirically test measures of teachers’ content knowledge for teaching elementary mathematics. The authors review teacher knowledge literature, develop survey items representing knowledge for teaching mathematics, and conduct factor analysis and scaling to evaluate these items. Factor analysis revealed that teachers’ knowledge for teaching elementary mathematics is multidimensional across topics such as number and operations and algebra, and the resulting constructs form psychometrically acceptable scales.
In this article we discuss efforts to design and empirically test measures of teachers’ content knowledge for teaching elementary mathematics. We begin by reviewing the literature on teacher knowledge, noting how scholars have organized such knowledge. Next we describe survey items we wrote to represent knowledge for teaching mathematics and results from factor analysis and scaling work with these items. We found that teachers’ knowledge for teaching elementary mathematics was multidimensional and included knowledge of various mathematical topics (e.g., number and operations, algebra) and domains (e.g., knowledge of content, knowledge of students and content). The constructs indicated by factor analysis formed psychometrically acceptable scales.
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Those Who Understand: Knowledge Growth in Teaching
Lee S. Shulman · Educational Researcher · 1986 · 18.1K citations · Full text
Knowledge and Teaching:Foundations of the New Reform
Lee S. Shulman · Harvard Educational Review · 1987 · 16.4K citations · Full text
David E. Hapeman · Technometrics · 1991 · 9.1K citations
Fundamentals of item response theory
Choice Reviews Online · 1992 · 3.5K citations
Education, Educational Assessment, Educational Measurement +17
Joseph L. Fleiss, Alan Agresti · Journal of the American Statistical Association · 1991 · 2.7K citations