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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
Cullen, Amanda L.; Barrett, Jeffrey E. – Mathematical Thinking and Learning: An International Journal, 2020
In this article, we describe how students structured 2-dimensional space with square and nonsquare units. We employed a cross-sectional design, interviewing 5 students from each of 4 different grade groups: Grades 1, 3, 5, and 7 (ages 7, 9, 11, and 13) in structured, task-based interviews. Our findings about students' ways of measuring area fit a…
Descriptors: Geometric Concepts, Grade 1, Grade 3, Grade 5
Barrett, Jeffrey E.; Sarama, Julie; Clements, Douglas H.; Cullen, Craig; McCool, Jenni; Witkowski-Rumsey, Chepina; Klanderman, David – Mathematical Thinking and Learning: An International Journal, 2012
We examined children's development of strategic and conceptual knowledge for linear measurement. We conducted teaching experiments with eight students in grades 2 and 3, based on our hypothetical learning trajectory for length to check its coherence and to strengthen the domain-specific model for learning and teaching. We checked the hierarchical…
Descriptors: Mathematics Education, Intervals, Grade 2, Child Development