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Direct linkDray, Tevian; Manogue, Corinne A. – International Journal of Research in Undergraduate Mathematics Education, 2023
"Representational transformation diagrams" are used to compare and contrast standard textbook presentations of vector line integrals in undergraduate courses in both mathematics and physics. These presentations are taken as the lower anchor in a learning trajectory. Two principal approaches in the lower division are identified, roughly…
Descriptors: Visual Aids, Teaching Methods, Science Instruction, Comparative Analysis
Download full textOh Hoon Kwon – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
A new classification for semantic structures of one-step word problems is proposed in this paper. The classification is based on illustrations of word problem situations in Common Core State Standards (CCSSM, 2010) and related historical studies (e.g. Weaver, 1973, 1979, 1982), as well as conceptual elaborations of embodied and grounded nature in…
Descriptors: Semantics, Word Problems (Mathematics), Mathematics Instruction, Classification
Blanton, Maria – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
Learning progressions have become an important construct in educational research, in part because of their ability to inform the design of coherent standards, curricula, assessments, and instruction. In this paper, I discuss how a learning progressions approach has guided our development of an early algebra innovation for the elementary grades and…
Descriptors: Learning Trajectories, Access to Education, Algebra, Mathematics Education
