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Length Measurement in the Early Years: Teaching and Learning with Learning Trajectories
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Sarama, Julie; Clements, Douglas H.; Barrett, Jeffrey E.; Cullen, Craig J.; Hudyma, Aaron; Vanegas, Yuly – Mathematical Thinking and Learning: An International Journal, 2022
Measurement is a critical component of mathematics education, but research on the learning and teaching of measurement is limited. We previously introduced, refined, and validated a developmental progression -- the cognitive core of a learning trajectory -- for length measurement in the early years. A complete learning trajectory includes…
Descriptors: Mathematics Instruction, Teaching Methods, Learning Trajectories, Measurement
Spontaneous Focusing on What and Why? What Children's Imprecise Responses Reveal about Their Mathematical Thinking and Relational Reasoning
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Alexander, Patricia A.; Zhao, Hongyang; Sun, Yuting – Mathematical Thinking and Learning: An International Journal, 2020
In this study, we analyzed the imprecise (i.e., less mathematically precise) responses that 148 third- to fifth-grade Chinese students made on selected-response problems that were part of a spontaneous mathematical focusing task, the Quantitative Relations Test for Chinese Children (QRTC[superscript 2]). The purpose for this analysis was to…
Descriptors: Mathematics Instruction, Teaching Methods, Multiplication, Elementary School Students