The number Pi has a rich and colorful history. The origin of Pi dates back to when Greek mathematicians realized that the ratio of the circumference to the diameter is the same for all circles. One is most familiar with many of its applications to geometry, analysis, probability, and number theory. This paper demonstrates several examples of how…

This study investigates sequential dependencies in interresponse times (IRTs) produced by human subjects under random-ratio (RR) and staircase stochastic reinforcement of waiting (staircase SRW) schedules using autocorrelation and relative frequencies of IRT[subscript n] *IRT[subscript n+1] pairs. In the first of two experiments conducted for this…

The main aim of this study was to gain a better understanding of why students abandon their studies, or perform less well than expected given their high school grades, and to develop predictive models that can help identify those students most at-risk at the time they enter college. This will allow teachers and those responsible for student…

This report presents results of the 2011 National Assessment of Educational Progress (NAEP) in mathematics at grades 4 and 8. Nationally representative samples of 209,000 fourth-graders and 175,200 eighth-graders participated in the 2011 National Assessment of Educational Progress (NAEP) in mathematics. At each grade, students responded to…

How can teachers learn what they need to know? Every community of educators, regardless of field or specialization, can benefit from being well informed about current research findings. A considerable amount of mathematics education research exists to inform teachers and administrators about teaching and learning mathematics. Research can show…

Gilbert Gottlieb's formative role in establishing a science of experimental behavioral embryology is described. His experimental program on the development of species identification served as a model for developmental psychobiologists seeking alternatives to the nature-nurture dichotomies prevalent in the 20th century. Two of the major concepts…

Scientists have associated the El Nino/Southern Oscillation (ENSO) phenomenon with extreme climate events such as flooding in California, droughts in Australia, fires in Indonesia, and increased hurricane activity in the Atlantic Ocean. The popular media is constantly attributing individual storms to the ENSO phenomenon. The reality is that a…

Improving the first-year experience has been part of a broader set of initiatives to respond to concerns about undergraduate education (Astin, Keup, & Lindholm, 2002). This research examined the efficacy of a first-year seminar on student satisfaction and retention at a Research Extensive, urban and public land-grant university. This study…

We present a model allowing the measurement of the returns to plurilingual competences in a small open economy, considered as a reduced model of an open European labour market where different nationalities work together and therefore need to communicate either in one or in multiple languages. Our results suggest that high plurilingual competences…

A model for processes of abstraction, based on epistemic actions, has been proposed elsewhere. Here we apply this model to processes in which groups of individual students construct shared knowledge and consolidate it. The data emphasizes the interactive flow of knowledge from one student to the others in the group, until they reach a shared…

We use data from the Survey of Income and Program Participation (SIPP) to investigate the impact that child Supplemental Security Income (SSI) enrollment has on household outcomes, including poverty, household earnings, and health insurance coverage. The longitudinal nature of the SIPP allows us to control for unobserved, time-invariant…

Everyone knows that teachers do not have unlimited time, a log of experience, or a deep understanding of all the mathematics they teach. To solve this problem, teachers often use textbooks, and the accompanying teacher's resource books, as sources of activities and advice about how to help students learn mathematics. The activity that prompted…

New capabilities in "TinkerPlots 2.0" supported the conceptual development of fifth- and sixth-grade students as they pursued several weeks of instruction that emphasized data modeling. The instruction highlighted links between data analysis, chance, and modeling in the context of describing and explaining the distributions of measures that result…

This paper focuses on the different ways in which students in lower secondary school (14-16 year olds) experience compound random events, presented to them in the form of combined junctions. A carefully designed ICT environment was developed enabling the students to interact with different representations of such structures. Data for the analysis…

According to traditional Chinese culture, families will care for their elderly. Therefore, it appears to be uncommon for elderly Chinese to live alone. This study examines the correlates for single elderly Chinese immigrants in Canada to live alone. Using a probability sample of single elderly Chinese immigrants (N = 660) in seven urban centers,…