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Kulow, Torrey; Izsák, Andrew; Stevenson, Dean – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
The present study extends recent advances developing and applying measures of mathematical content knowledge for teaching. Recent research has demonstrated that the Diagnosing Teachers' Multiplicative Reasoning Fractions survey provides information about distinct but related components necessary for reasoning in terms of quantities when solving…
Descriptors: Fractions, Arithmetic, Thinking Skills, Numbers
Izsák, Andrew; Beckmann, Sybilla; Bradshaw, Laine – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
The present study extends recent advances coordinating research on cognition and psychometric modeling around fractions. Recent research has demonstrated that the Diagnosing Teachers' Multiplicative Reasoning Fractions survey provides information about distinct components necessary for reasoning in terms of quantities when solving fraction…
Descriptors: Thinking Skills, Growth Models, Outcome Measures, Preservice Teachers
van den Heuvel-Panhuizen, Marja; Elia, Iliada; Robitzsch, Alexander – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
This paper describes a field experiment with a pretest-posttest-control group design in which the potential of reading picture books to children for supporting their mathematical understanding was investigated. The study involved 384 children from eighteen kindergarten classes in eighteen schools in the Netherlands. Data analyses revealed that the…
Descriptors: Mathematics Instruction, Teaching Methods, Picture Books, Kindergarten
Rathouz, Margaret; Cengiz, Nesrin – North American Chapter of the International Group for the Psychology of Mathematics Education, 2013
In this article, we present some mathematical tasks designed to support pre-service teachers (PSTs) in obtaining a broader, more connected understanding of decimal numbers and quantities. We describe classroom scenarios from a content course in which PSTs experienced these cognitively demanding decimal tasks, enacted in ways that maintain high…
Descriptors: Preservice Teachers, Knowledge Level, Numeracy, Arithmetic