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Direct linkClements, 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
Download full textClements, 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
Zippert, Erica L.; Douglas, Ashli-Ann; Rittle-Johnson, Bethany – Grantee Submission, 2020
Both recent evidence and research-based early mathematics curricula indicate that repeating patterns--predictable sequences that follow a rule--are a topic of major importance for mathematics development. The purpose of the current study was to help build a theory for how early repeating patterning knowledge contributes to early math development,…
Descriptors: Prior Learning, Pattern Recognition, Preschool Education, Preschool Children
Clements, Douglas H.; Sarama, Julie; Baroody, Arthur J.; Joswick, Candace; Wolfe, Christopher B. – American Educational Research Journal, 2019
Although basing instruction on learning trajectories (LTs) is often recommended, there is little direct evidence regarding the premise of a LT approach--that instruction should be presented (only) one LT level beyond a child's present level. We evaluated this hypothesis in the domain of early shape composition. One group of preschoolers, who were…
Descriptors: Instructional Effectiveness, Mathematics Achievement, Mathematics Instruction, Geometric Concepts
Clements, Douglas H.; Sarama, Julie; Baroody, Arthur J.; Joswick, Candace; Wolfe, Christopher B. – Grantee Submission, 2019
Although basing instruction on learning trajectories (LTs) is often recommended, there is little direct evidence regarding the premise of an LT approach--that instruction should be presented (only) one LT level beyond a child's present level. We evaluated this hypothesis in the domain of early shape composition. One group of preschoolers, who were…
Descriptors: Instructional Effectiveness, Mathematics Achievement, Mathematics Instruction, Geometric Concepts
Xu, Chang; LeFevre, Jo-Anne – Developmental Psychology, 2016
Are there differential benefits of training sequential number knowledge versus spatial skills for children's numerical and spatial performance? Three- to five-year-old children (N = 84) participated in 1 session of either sequential training (e.g., what comes before and after the number 5?) or non-numerical spatial training (i.e., decomposition of…
Descriptors: Young Children, Preschool Children, Numbers, Mathematics
