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Baroody, Arthur J.; Yilmaz, Nursel; Clements, Douglas H.; Sarama, Julie – Grantee Submission, 2021
Although hypothetical learning trajectories (HLTs) are often viewed as a valuable instructional tool, little research has directly evaluated their value. A basic assumption of HLTs is that ordering instructional activities by developmental difficulty enhances learning. A randomized control trial (RCT) served to evaluate this assumption with a…
Descriptors: Learning Processes, Patternmaking, Effect Size, Intervention
Clements, Douglas H.; Sarama, Julie; Baroody, Arthur J.; Joswick, Candace – Grantee Submission, 2019
Although basing instruction on a learning trajectory (LT) is often recommended, there is little direct evidence to support the premise of a "LT approach"--that to be maximally meaningful, engaging, and effective, instruction is best presented one LT level beyond a child's present level of thinking. The present report serves to address…
Descriptors: Mathematics Instruction, Teaching Methods, Instructional Effectiveness, Kindergarten
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Stephens, Ana; Fonger, Nicole L.; Blanton, Maria; Knuth, Eric – Grantee Submission, 2016
In this paper, we describe our learning progressions approach to early algebra research that involves the coordination of a curricular framework, an instructional sequence, written assessments, and levels of sophistication describing the development of students' thinking. We focus in particular on what we have learning through this approach about…
Descriptors: Elementary School Students, Elementary School Mathematics, Mathematics Instruction, Learning Processes
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Mettler, Everett; Massey, Christine M.; Kellman, Philip J. – Grantee Submission, 2011
Adaptive learning techniques have typically scheduled practice using learners' accuracy and item presentation history. We describe an adaptive learning system (Adaptive Response Time Based Sequencing--ARTS) that uses both accuracy and response time (RT) as direct inputs into sequencing. Response times are used to assess learning strength and to…
Descriptors: Reaction Time, Accuracy, Cognitive Science, Grade 3