In this study, I considered the development of mathematical meaning related to the Invertible Matrix Theorem (IMT) for both a classroom community and an individual student over time. In this particular linear algebra course, the IMT was a core theorem in that it connected many concepts fundamental to linear algebra through the notion of…

Growth mixture modeling (GMM) is a method for identifying multiple unobserved sub-populations, describing longitudinal change within each unobserved sub-population, and examining differences in change among unobserved sub-populations. We provide a practical primer that may be useful for researchers beginning to incorporate GMM analysis into their…

Childhood is the crucial period for early children's reading ability building. Former research (Hanson & Farrell, 1995) found that early reading experience had a positive and long-term effect on reading competence for high school seniors in the future. Therefore, it is of great importance for researchers to understand children's initial reading…

This longitudinal study with 62 children and adolescents examined the validity of the consolidation/transition model in the context of moral reasoning development. Results of standard statistical and Bayesian techniques supported the hypotheses regarding cyclical patterns of change and predictors of stage transition, and demonstrated the utility…

Argues that a better understanding of developmental processes is provided by three types of operant research -- laboratory behavioral descriptions, descriptions of naturalistic behavior-environment interdependencies, and predictive naturalistic studies. The usefulness of these processes are examined in light of the goals of life span developmental…

This paper provides a survey of models for the analysis of individual growth data emphasizing the problems posed by serial or time dependence in the application of polynomial regression models. The concepts of serial correlation and autoregressive models are illustrated. It is demonstrated that standard inference procedures may be quite misleading…

Examined analytic methods for describing children's social risk. Found that the individual-risk-variables approach provided better overall prediction of developmental outcomes at a particular age. The risk-factor approach provided good prediction of developmental trajectories with moderate to large sample sizes. The risk-index was useful for…

Suggests ways to use dynamic systems analysis to illuminate the pluralistic and multidimensional model described by Larivee, Normandeau, and Parent (2000). Issues discussed include the characteristics of developmental transitions, such as hysteresis; nature of growth processes, such as hierarchical development or predator-prey interactions; and…

Introduces the "person approach" to the study of adolescence, and discusses the consequences of the approach for theoretical thinking and research methodology. Reviews major types of pattern-based methods used for carrying out a person approach and discusses methodological challenges for adolescent research, including interindividual…

The developmental process of postsecondary administrators was studied at Rutgers. The research procedure, research population, typical survey questions, data analyses, and findings are reported. Five variables (entry level, performance-contingent rewards, performance appraisal process, level of formal education, job complexity, and responsibility)…

Examined effect of accounting for exposure (incarceration) time on arrest rate of 272 paroled serious offenders followed through age 33. Analysis without exposure time adjustments suggested that over 92 percent exhibited highest arrest activity in late teens and early 20s. Adjusted for exposure time, about 72 percent showed a decline in arrest…

This article describes the conversational interactions of one online learning group whose task was to identify themes of human development from life histories of the group members. The data were analyzed by a research team using the hermeneutic circle, which involves continually looking at parts of the text in light of the meaning of the larger…