As part of the "Connecting Mathematics Learning through Spatial Reasoning" project, a Spatial Reasoning Mathematics Program (SRMP) intervention was implemented with one cohort of 30 students in grades 3 through 4. The SRMP embedded transformation skills in learning sequences comprising repeating and growing patterns, 2D and 3D…

The present study longitudinally investigated proportional reasoning abilities in early elementary school before the start of its instruction. Three aims were put forward: (a) distinguishing the different developmental states in young children's understanding of missing-value proportional situations, (b) investigating how children transition…

Recent educational research has turned increasing attention to the structural development of young students' mathematical thinking. Early algebra, multiplicative reasoning, and spatial structuring are three areas central to this research. There is increasing evidence that an awareness of mathematical structure is crucial to mathematical competence…

The ability to recognize, extend, and relate patterns and sequences to numeric, figural, and word representations plays a prominent role in science education. This study provided validation information for an instrument to assess childrens' ability to recognize and extend patterns and sequence in different representational forms. A 57-item…

Examines Japanese and American children's styles of processing computerized geometric matrices. Hypothesizes cultural differences for response latencies. Finds no difference in accuracy between the two groups but significant differences in response times for second- and fifth-graders. (MW)

Seven-year-olds who had difficulty understanding 1st-grade work received one of two forms of small-group instruction. Half of the children were randomly assigned to receive four months of instruction in recognizing, comprehending, and reproducing both logical and arbitrary patterns (sequences) involving numbers, letters, shapes, colors,…