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Beckmann, Sybilla; Izsák, Andrew – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
We present a mathematical analysis that distinguishes two quantitative perspectives on ratios and proportional relationships: Multiple Batches and Variable Parts. We argue that (a) existing research on proportional relationships has addressed Multiple Batches but has largely overlooked Variable Parts, (b) Multiple Batches makes the co-variation…
Descriptors: Mathematical Concepts, Mathematics, Algebra
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
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