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Download full textBrown, Rachael Eriksen; Nagar, Gili Gal; Orrill, Chandra Hawley; Weiland, Travis; Burke, James – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
In this exploratory study we considered how one teacher's understanding of proportional reasoning related to his teaching. We used Epistemic Network Analysis to consider the teachers' knowledge organization and connections between knowledge resources as a way to make sense of his understanding. Then, we examined how his understanding was reflected…
Descriptors: Classroom Techniques, Knowledge Base for Teaching, Network Analysis, Epistemology
Orrill, Chandra Hawley; Brown, Rachael Eriksen; Burke, James P.; Millett, John; Nagar, Gili Gal; Park, Jinsook; Weiland, Travis – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
In this study we extend our prior exploration focused on the extent to which middle school teachers appropriately identified proportional situations and whether there were relationships between attributes of the teachers and their ability to identify proportional situations. For this study, we analyzed both a larger dataset (n = 32) and two…
Descriptors: Knowledge Level, Mathematical Logic, Mathematical Concepts, Middle School Teachers
Nagar, Gili Gal; Weiland, Travis; Brown, Racheal Eriksen; Orrill, Chandra Hawley; Burke, James – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
In this study we explored to what extent middle school teachers were able to appropriately identify proportional situations when presented with various mathematical structures and if there were relationships between attributes of the teachers and their ability to identify proportional situations. Interestingly, there were no strong relationships…
Descriptors: Mathematics Instruction, Middle School Teachers, Secondary School Mathematics, Mathematical Concepts
Orrill, Chandra Hawley; Burke, James P. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2013
In this study, we considered how four teachers reasoned about proportional situations involving geometry. We used pilot interviews conducted with in-service middle grades teachers around a set of proportional tasks. Analysis relied on a knowledge in pieces lens to uncover the resources that each teacher used in solving the tasks and which…
Descriptors: Mathematics Instruction, Mathematical Concepts, Geometry, Interviews
Direct linkIzsak, Andrew; Jacobson, Erik; de Araujo, Zandra; Orrill, Chandra Hawley – Journal for Research in Mathematics Education, 2012
Researchers have recently used traditional item response theory (IRT) models to measure mathematical knowledge for teaching (MKT). Some studies (e.g., Hill, 2007; Izsak, Orrill, Cohen, & Brown, 2010), however, have reported subgroups when measuring middle-grades teachers' MKT, and such groups violate a key assumption of IRT models. This study…
Descriptors: Psychometrics, Professional Development, Item Response Theory, Knowledge Base for Teaching
Izsak, Andrew; Orrill, Chandra Hawley; Cohen, Allan S.; Brown, Rachael Eriksen – Elementary School Journal, 2010
We report the development of a multiple-choice instrument that measures the mathematical knowledge needed for teaching arithmetic with fractions, decimals, and proportions. In particular, the instrument emphasizes the knowledge needed to reason about such arithmetic when numbers are embedded in problem situations. We administered our instrument to…
Descriptors: Mathematics Instruction, Numbers, Arithmetic, Interviews
