The purpose of this study was to examine child-level pathways in development of prealgebraic knowledge versus word-problem solving, while evaluating the contribution of calculation accuracy and fluency as mediators of foundational skills/processes. Children (n = 962; mean 7.60 years) were assessed on general cognitive processes and early…

The purpose of this study was to examine child-level pathways in development of prealgebraic knowledge versus word-problem solving, while evaluating the contribution of calculation accuracy and fluency as mediators of foundational skills/processes. Children (n = 962; mean 7.60 years) were assessed on general cognitive processes and early…

"Above-level testing" (also called "above-grade testing," "out-of-level testing," and "off-level testing") is the practice of administering to a child a test that is designed for an examinee population that is older or in a more advanced grade. Above-level testing is frequently used to help educators design…

The 2011 study, "Benefits of Practicing 4 = 2 + 2: Nontraditional Problem Formats Facilitate Children's Understanding of Mathematical Equivalence," examined the effects of addition practice using nontraditional problem formats on students' understanding of mathematical equivalence. In nontraditional problem formats, operations appear on…

This study is based on data from a state-wide assessment that included both multiple-choice and constructed-response items. The intent of the study was to see whether item types make a difference in gender results. The items on both tests were categorized according to whether they assessed procedural knowledge, concepts, problem solving, or…

Gender differences in achievement were studied in five academic areas: (1) vocabulary; (2) language usage; (3) reading; (4) mathematics problem solving; and (5) using sources of information. Standardized achievement test scores for a sample of 3,002 students (1,642 females and 1,360 males) who were tested in each of 10 consecutive years, grades 3…