Fraction knowledge and algebraic skill are closely linked. Algebra is a gatekeeper for advanced courses (Booth & Newton, 2012; Brown & Quinn, 2007). This study uses the person-centered approach of latent profile analysis to examine individual differences in middle schoolers' (N = 350) algebra performance at the end of the year (EOY). The…

A prevailing theory of mathematical problem solving predicts that children will be less accurate solving a + b = c + __ problems versus a + b = __ + c. However, this has never been tested directly. Because of low base rates, information combined from multiple studies can help improve estimation accuracy and precision. This study compared…

This research explored the contribution of social goal orientation, specifically, development (improving social skills and relationships), demonstration-approach (gaining positive judgments), and demonstration-avoidance (minimizing negative judgments). Children (N = 373; M age = 7.97, SD = 0.34) were followed from 2nd to 3rd grades. Validity of…

Six- to 9-year olds predicted the movement of a balance beam. Results indicated that children who received feedback improved their performance more than those who did not receive feedback; the presence of a partner was beneficial only when children did not receive feedback; and children whose partner exhibited higher-level reasoning benefitted…

Examined the development of proportional reasoning by means of a temperature mixture task. Results show the importance of distinguishing between intuitive knowledge and formal computational knowledge of proportional concepts. Provides a new perspective on the relation of intuitive and computational knowledge during development. (GLR)