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Beckmann, Sybilla; Izsák, Andrew – Journal for Research in Mathematics Education, 2015
In this article, we present a mathematical analysis that distinguishes two distinct quantitative perspectives on ratios and proportional relationships: variable number of fixed quantities and fixed numbers of variable parts. This parallels the distinction between measurement and partitive meanings for division and between two meanings for…
Descriptors: Mathematics Education, Mathematical Concepts, Multiplication, Measurement
Beckmann, Sybilla; Davion, Victoria; Desmet, Christy; Harrison, Stephanie; Hudson-Ross, Sally; Mewborn, Denise S.; Oliver, Jenny Penney; Preissle, Judith; Ruppersburg, Hugh – 2001
This paper contains five essays that describe various aspects of a collaboration called the Deans' Forum at the University of Georgia. A group of 30 faculty committed to exploring issues such as the nature and quality of instruction in university courses, course and curriculum design, learning theories relevant to college age learners, the role of…
Descriptors: College Faculty, English, Higher Education, Interdisciplinary Approach
Fuson, Karen; Clements, Douglas; Beckmann, Sybilla – National Council of Teachers of Mathematics, 2010
"Focus in Grade 1: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 1 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate…
Descriptors: Mathematics Curriculum, Mathematical Concepts, Grade 1, Misconceptions
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Alvermann, Donna; Friese, Elizabeth; Beckmann, Sybilla; Rezak, Achariya – Australian Educational Researcher, 2011
The twofold purpose of this study was to trace prospective and practicing mathematics teachers' understandings of content area reading instruction in relation to domain knowledge in mathematics, and to examine the extent to which online pedagogical mentoring supported the integration of such instruction and knowledge. The design called for two…
Descriptors: Expertise, Feedback (Response), Mentors, Content Area Reading
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Beckmann, Sybilla – Mathematics Educator, 2004
Out of the 38 nations studied in the 1999 "Trends in International Mathematics and Science Study" (TIMSS), children in Singapore scored highest in mathematics (National Center for Education Statistics, NCES, 2003). Why do Singapore's children do so well in mathematics? The reasons are undoubtedly complex and involve social aspects.…
Descriptors: Foreign Countries, Mathematics Instruction, Elementary School Mathematics, Visual Aids
Lloyd, Gwendolyn; Beckmann, Sybilla; Zbiek, Rose Mary; Cooney, Thomas – National Council of Teachers of Mathematics, 2010
Are sequences functions? What can't the popular "vertical line test" be applied in some cases to determine if a relation is a function? How does the idea of rate of change connect with simpler ideas about proportionality as well as more advanced topics in calculus? Helping high school students develop a robust understanding of functions requires…
Descriptors: Calculus, Misconceptions, Mathematics Instruction, Mathematics Teachers
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Woodward, John; Beckmann, Sybilla; Driscoll, Mark; Franke, Megan; Herzig, Patricia; Jitendra, Asha; Koedinger, Kenneth R.; Ogbuehi, Philip – What Works Clearinghouse, 2012
The Institute of Education Sciences (IES) publishes practice guides in education to bring the best available evidence and expertise to bear on current challenges in education. Authors of practice guides combine their expertise with the findings of rigorous research, when available, to develop specific recommendations for addressing these…
Descriptors: Mathematics Instruction, Problem Solving, Educational Research, Evidence
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Gersten, Russell; Beckmann, Sybilla; Clarke, Benjamin; Foegen, Anne; Marsh, Laurel; Star, Jon R.; Witzel, Bradley – What Works Clearinghouse, 2009
Students struggling with mathematics may benefit from early interventions aimed at improving their mathematics ability and ultimately preventing subsequent failure. This guide provides eight specific recommendations intended to help teachers, principals, and school administrators use Response to Intervention (RtI) to identify students who need…
Descriptors: Mathematics Instruction, Elementary School Mathematics, Secondary School Mathematics, Elementary School Students
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Mewborn, Denise S.; Beckmann, Sybilla; Davion, Victoria; Desmet, Christy; Hudson-Ross, Sally; Oliver, Jenny Penney; Preissle, Judith; Ruppersburg, Hugh – Innovative Higher Education, 2002
Describes the University of Georgia's Deans' Forum, a group of approximately 30 faculty members who have engaged in collaborative work on issues of teacher education for over 4 years. Discusses its design, activities, and impact, and elements necessary to sustain it. (EV)
Descriptors: College Faculty, Collegiality, Faculty Development, Higher Education