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Clements, Douglas H.; Guss, Shannon S.; Sarama, Julie – Mathematics Teacher: Learning and Teaching PK-12, 2022
The purpose of this article is to describe and illustrate learning trajectories (LTs) and introduce a new, comprehensive set of resources that support teaching meaningfully and joyfully. An LT for a topic has three parts: (1) a mathematical goal; (2) a developmental progression of levels of thinking; and (3) teaching practices (environments,…
Descriptors: Mathematics Instruction, Early Childhood Education, Mathematics Education, Teaching Methods
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Baroody, Arthur J.; Clements, Douglas H.; Sarama, Julie – Education Sciences, 2022
Although reformers have embraced learning trajectories (LT, also called learning progressions) as an important tool for improving mathematics education, the efficacy and assumptions of LT-based instruction are largely unproven. The aim of a recently completed research project was to fill this void. Fulfilling this aim was more challenging than…
Descriptors: Learning Processes, Mathematics Education, Teaching Methods, Preschool Education
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
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Clements, Douglas H.; Sarama, Julie; Baroody, Arthur J.; Joswick, Candace – ZDM: The International Journal on Mathematics Education, 2020
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, Kindergarten, Preschool Children
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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Celedón-Pattichis, Sylvia; Peters, Susan A.; Borden, Lisa Lunney; Males, Joshua R.; Pape, Stephen J.; Chapman, Olive; Clements, Douglas H.; Leonard, Jacqueline – Journal for Research in Mathematics Education, 2018
The Research Committee focuses on several systemic barriers that have impeded the equitable development of students' mathematics knowledge, including school and school-system structures that foster the social reproduction of inequity. To develop an equitable context for all students to learn mathematics, the Research Committee posits that we need…
Descriptors: Equal Education, Mathematics Education, Mathematics Instruction, Grouping (Instructional Purposes)