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Direct linkCaglayan, Gunhan; Olive, John – Educational Studies in Mathematics, 2010
This study examines eighth grade students' use of a representational metaphor (cups and tiles) for writing and solving equations in one unknown. Within this study, we focused on the obstacles and difficulties that students experienced when using this metaphor, with particular emphasis on the operations that can be meaningfully represented through…
Descriptors: Mathematics Education, Figurative Language, Grade 8, Equations (Mathematics)
Izsak, Andrew; Caglayan, Gunhan; Olive, John – Journal of the Learning Sciences, 2009
We describe how 1 Algebra I teacher and her 8th-grade students used meta-representational knowledge when generating and evaluating equations to solve word problems. Analyzing data from a sequence of 4 lessons, we found that the teacher and her students used criteria for evaluating equations, in addition to other types of knowledge (e.g., different…
Descriptors: Word Problems (Mathematics), Equations (Mathematics), Algebra, Mathematics Instruction
