Coordination of multiple representations (CMR) is widely recognized as a critical skill in mathematics and is frequently demanded in reform calculus textbooks. However, little is known about the prevalence of coordination tasks in such textbooks. We coded 707 instances of CMR in a widely used reform calculus textbook and analyzed the distributions…

Students with learning disabilities often struggle with math fact fluency and require specialized interventions to recall basic facts. Deficits in math fact fluency can result in later difficulties when learning higher-level mathematical computation, concepts, and problem solving. The response-to-intervention (RTI) and…

The aim of the present study was to explore first-year students' academic emotions and how they relate to their study progress. A mixed-method approach was used. The data consisted of deep interviews with 43 students. The number of their study credits was used as an indicator of their study progress. The results revealed that students expressed a…

Life tables are mathematical tables that document probabilities of dying and life expectancies at different ages in a society. Thus, the life table contains some essential features of the health of a population. Probability is often regarded as a difficult branch of mathematics. Life tables provide an interesting approach to introducing concepts…

Background: Like adults, children need to allocate study time and endeavour optimally in order to enhance learning effectiveness. Aims: The aim of this study was to investigate the development of shifting from habitual to agenda-based processes on study decisions. Sample: The participants were 309 children in the second, fourth, and sixth grades.…

A latent variable modeling procedure is discussed that can be used to test if two or more homogeneous multicomponent instruments with distinct components are measuring the same underlying construct. The method is widely applicable in scale construction and development research and can also be of special interest in construct validation studies.…

A classic TV commercial once asked, "How many licks does it take to get to the center of a Tootsie Roll Tootsie Pop?" The narrator claims, "The world may never know" (Tootsie Roll 2012), but an Internet search returns a multitude of answers, some of which include rigorous systematic approaches by academics to address the…

This article reports on a classroom teaching experiment that engaged a group of high school students in designing sampling simulations within a computer microworld. The simulation-design activities aimed to foster students' abilities to conceive of contextual situations as stochastic experiments, and to engage them with the logic of hypothesis…

Previewing answer-choice options before finishing reading the text is a widely employed test-taking behavior. In the present study we examined whether previewing is related to item response accuracy and response time, using data from Chinese learners of varying English proficiency levels and English native speakers. We examined eye movement…

Modeling the distribution of site level effects is an important problem, but it is also an incredibly difficult one. Current methods rely on distributional assumptions in multilevel models for estimation. There it is hoped that the partial pooling of site level estimates with overall estimates, designed to take into account individual variation as…

We present a case study of the process through which a methodology was developed and applied to a quasi-experimental research study that employed propensity score matching. Methodological decisions are discussed and summarized, including an explanation of the approaches selected for each step in the study as well as rationales for these…

Background/Context: Studies that compare the achievement benefits of charter public schools versus traditional public schools (TPSs) yield quite uneven results. The quality and long-term commitment of teachers represent related mediators that may help to explain effective and ineffective charter schools. Early findings on the comparative rates of…

This paper investigates the transitions to secondary and to tertiary education. As a new contribution to prior scholarship, it focuses on the role of self-perceived ability (self-assessment), which might impel pupils to make costly efforts in education now, in order to have an uncertain payoff later on. The paper builds on the assumption that…

More than 20 percent of all school-aged children in the United States have vision problems, and low-income and minority children are disproportionately likely to have unmet vision care needs. Vision screening is common in U.S. schools, but it remains an open question whether screening alone is sufficient to improve student outcomes. We implemented…

Dropping out of high school has adverse consequences, including negative effects on employment, lifetime earnings, and physical health. Students often fail to complete high school for complex reasons that often manifest long before they reach high school. This study examines the link between participation in a comprehensive elementary school…