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Bergman, Lars R.; Nurmi, Jari-Erik; von Eye, Alexander A. – International Journal of Behavioral Development, 2012
I-states-as-objects-analysis (ISOA) is a person-oriented methodology for studying short-term developmental stability and change in patterns of variable values. ISOA is based on longitudinal data with the same set of variables measured at all measurement occasions. A key concept is the "i-state," defined as a person's pattern of variable…
Descriptors: Classification, Statistical Analysis, Structural Equation Models, Sample Size
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Lo, Jane-Jane; Kratky, James L. – Mathematics Teacher, 2012
Students frequently have difficulty determining whether a given real-life situation is best modeled as a linear relationship or as an exponential relationship. One root of such difficulty is the lack of deep understanding of the very concept of "rate of change." The authors will provide a lesson that allows students to reveal their misconceptions…
Descriptors: Misconceptions, Mathematics Instruction, Concept Teaching, Mathematical Concepts
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Stemhagen, Kurt – Democracy & Education, 2011
This article describes an empirical project that studied fourth- through- eighth- grade math teachers' beliefs about teaching and learning and about the role of teaching and learning in broader society. Specifically, it examined relationships between teachers' reported beliefs and their use of transmittal, constructivist, and democratic classroom…
Descriptors: Constructivism (Learning), Democracy, Mathematics Teachers, Teacher Attitudes
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Adlakha, V.; Kowalski, K. – International Journal of Mathematical Education in Science and Technology, 2007
The connection between linear and 0-1 integer linear formulations has attracted the attention of many researchers. The main reason triggering this interest has been an availability of efficient computer programs for solving pure linear problems including the transportation problem. Also the optimality of linear problems is easily verifiable…
Descriptors: Numbers, Mathematics Instruction, Mathematical Applications, Mathematical Formulas