The complex dynamical systems (CDS) approach consists of a family of theories emanating largely from the exact sciences. These theories share a common focus on the behavior of systems and their interrelated parts and are concerned with the processes of stability, change, and unpredictability in those systems. This article takes stock of the…

In this commentary, we propose a framework for applying the Complex Dynamical Systems (CDS) approach in educational research. Drawing on the conceptual articles in the special issue for ontological, theoretical, and methodological principles, and on the empirical articles for examples of these principles' application, we suggest six interdependent…

This article is premised on the observation that in educational research there is an increasing use of terminology and concepts related to the field of complexity and the study of complex physical, biological, and social systems. As we are at an early stage in this cross-fertilization of complex systems ideas and methods in educational research,…

The crucial role of teacher-student relationships has been reported in many studies. Yet, how teacher-student relationships develop from moment-to-moment interactions during lessons remains understudied. The present study combined insights from interpersonal theory and dynamic systems approaches to study indices of interpersonal content and…

Research around problem solving in collaborative groups has made progress, but several conceptual and methodological issues remain. These issues include the appropriate choices of units of analysis; the ability of current theoretical sets of macrocognition codes to capture group dynamics; detection and identification of potentially emergent…

This article presents research on persistence among at-risk students using network analysis following multiple linear regression (MLR). Data on a population of enrolled undergraduate students at an urban-serving university over several years (P = 35,239) is tested using multiple linear regression. Variables interacting at different dimensions of…

Mistaken beliefs pose a barrier to science learning. For this reason, it is important to understand the circumstances in which they emerge and change. In the current paper, we apply complexity theory to shed light on the nature of mistaken beliefs. The strength of this approach lies in conceptualizing beliefs as dynamic stabilities, a well-defined…

We hypothesized that students use the message behind teacher emotions to interpret the cause of their failure and to form competence beliefs; hence, in failure situations teacher anger could be beneficial. In Experiment 1, participants made judgments about another student's failure in the face of teacher pity versus anger. Lack of ability…

Multilevel Rasch models are increasingly used to estimate the relationships between test scores and student and school factors. Response data were generated to follow one-, two-, and three-parameter logistic (1PL, 2PL, 3PL) models, but the Rasch model was used to estimate the latent regression parameters. When the response functions followed 2PL…

The arrangement of response options in multiple-choice (MC) items, especially the location of the most attractive distractor, is considered critical in constructing high-quality MC items. In the current study, a sample of 496 undergraduate students taking an educational assessment course was given three test forms consisting of the same items but…

Research suggests that certain characteristics of survey items may impact participants' responses. In this study we investigated the impact of several of these characteristics: vague wording, question-versus-statement phrasing, and full-versus-partial labeling of response options. We manipulated survey items per these characteristics and randomly…

This study focused on academic and social correlates of collaborator preferences of African American and White sixth-graders in mathematics classrooms in fall and spring. Students' appraisals of emotional risk were examined as a moderator. Nomination procedures identified collaborator preferences, group affiliations, and social centrality;…

Recently, researchers have used multilevel models for estimating intervention effects in single-case experiments that include replications across participants (e.g., multiple baseline designs) or for combining results across multiple single-case studies. Researchers estimating these multilevel models have primarily relied on restricted maximum…

We developed and tested a behavioral version of the Defining Issues Test-1 revised (DIT-1r), which is a measure of the development of moral judgment. We conducted a behavioral experiment using the behavioral Defining Issues Test (bDIT) to examine the relationship between participants' moral developmental status, moral competence, and reaction time…

Psychologists and mathematics educators have long viewed flexibility as critical to students' mathematical development. In this paper, we focused on the multidimensional nature of flexibility to better understand how preference, knowledge, and use of effective methods for solving algebra problems are related. In Study 1, we identified…