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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
O'Dell, Jenna R.; Barrett, Jeffrey E.; Cullen, Craig J.; Rupnow, Theodore J.; Clements, Douglas H.; Sarama, Julie; Rutherford, George; Beck, Pamela S. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
In this study, we investigated how Grade 3 and 4 students' organizational structure for volume units develops through repeated experiences with a virtual manipulative for building prisms. Our data consist of taped clinical interviews within a micro-genetic experiment. We report on student strategy development using a virtual manipulative for…
Descriptors: Grade 3, Grade 4, Elementary School Students, Elementary School Mathematics

Clements, Douglas H.; McMillen, Sue – Teaching Children Mathematics, 1996
Points out that the notion of "concrete" is relative and argues the advantages of, and recommendations for, using computer manipulatives. (MKR)
Descriptors: Computer Uses in Education, Elementary Education, Manipulative Materials, Mathematics Education

Clements, Douglas H. – New England Mathematics Journal, 2000
Examines two types of computer environments suggested by the new Standards, one of which is the computer manipulative and the other a navigational environment such as the computer turtle. Discusses the contribution that these environments can make to young children's mathematics learning. (Contains 12 references.) (ASK)
Descriptors: Computer Uses in Education, Educational Technology, Elementary Education, Manipulative Materials

Clements, Douglas H.; Sarama, Julie – Teaching Children Mathematics, 2000
Presents an activity that capitalizes on the particular advantages of physical and computer pattern blocks. (KHR)
Descriptors: Computer Uses in Education, Elementary Education, Instructional Materials, Manipulative Materials