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Peer reviewed
Lehrer, Richard; Franke, Megan Loef – Journal for Research in Mathematics Education, 1992
Reports case studies using personal construct psychology and the logic of fuzzy sets to elucidate the content and organization of two elementary school teachers' knowledge of fractions and mathematical pedagogy. Results identified four personal constructions that affected classroom events; knowledge of fractions, general pedagogical knowledge,…
Descriptors: Beliefs, Case Studies, Cognitive Structures, Cognitive Style
Jacobs, Victoria R.; Franke, Megan Loef; Carpenter, Thomas P.; Levi, Linda; Battey, Dan – Journal for Research in Mathematics Education, 2007
A yearlong experimental study showed positive effects of a professional development project that involved 19 urban elementary schools, 180 teachers, and 3735 students from one of the lowest performing school districts in California. Algebraic reasoning as generalized arithmetic and the study of relations was used as the centerpiece for work with…
Descriptors: Faculty Development, Algebra, Mathematical Logic, Thinking Skills
Peer reviewed
Franke, Megan Loef; Carey, Deborah A. – Journal for Research in Mathematics Education, 1997
Describes a study that explores the perceptions that children (N=36) have about what it means to engage in mathematics. The study, which took place in reform-minded classrooms, concludes that children have a variety of perceptions and most do not feel that success is determined by speed and accuracy. Contains 20 references. (DDR)
Descriptors: Constructivism (Learning), Context Effect, Educational Change, Elementary Education
Peer reviewed
Carpenter, Thomas P.; Franke, Megan L.; Jacobs, Victoria R.; Fennema, Elizabeth; Empson, Susan B. – Journal for Research in Mathematics Education, 1998
Presents a three-year longitudinal study investigating the development of children's (n=82) understanding of multidigit number concepts and operations in grades one through three by using interview processes. Provides an existence proof that children can invent strategies for adding and subtracting and illustrates both what that invention affords…
Descriptors: Addition, Arithmetic, Concept Formation, Creative Thinking