Questions about gifted learners and the best way to teach them to face expected challenges is often a source of controversy. This is because old stereotype curriculum and conventional instructional strategies may not be enough to give the needed stimulation. Considering the enormity of what is expected to reinforce the education of the gifted,…

This study investigated the comprehension and effectiveness of teaching formal, probabilistic decision-making skills to middle school students. Two specific objectives were to determine (1) if middle school students can comprehend a probabilistic decision-making approach, and (2) if exposure to the modeling approaches improves middle school…

This article describes a course redesign project at the University of North Texas that is in the fifth year of a planned nine-year effort. The goals of the Next Generation Course Redesign (NGen) Project include practicing "never-ending course redesign," affecting teaching and learning at all levels of the institution and beyond, and…

The authors describe a collection of dynamic interactive simulations for teaching and learning most of the important ideas and techniques of introductory statistics and probability. The modules cover such topics as randomness, simulations of probability experiments such as coin flipping, dice rolling and general binomial experiments, a simulation…

The purpose of this study is to determine whether educators believe mathematics should be taught to liberal arts students, what topics are taught in liberal arts mathematics courses, and what the motivation is for teaching such topics. The study consists of two parts, a review of the opinions of educators regarding liberal arts mathematics, and a…

Statistics is the art and science of gathering, analyzing, and making conclusions from data. However, many people do not fully understand how to interpret statistical results and conclusions. Placing students in a collaborative environment involving project-based learning may enable them to overcome misconceptions of probability and enhance the…

This study examined the effect of distributed questioning on learning and retention in a college lecture course. A total of 48 question pairs were presented over four exams. The 16 question pairs associated with each of the three blocks of the course appeared on the block exams, and all 48 appeared on the final exam. The two questions in each pair…

This article presents an activity that uses sandwich bags to represent an individual's genome (their genetic make-up), and two variations of various objects representing the alleles of various genes. This activity includes the major components of an introductory genetics unit: from gamete production through probabilities of expected offspring…

The purpose of this activity is to introduce students to concepts of short-range and long-range scattering, and engage them in using indirect measurements and probabilistic models. The activity uses simple and readily available apparatus, and can be adapted for use with secondary level students as well as those in general physics courses or…

The subject of uncertainties (sometimes called errors) is traditionally taught (to first-year science undergraduates) towards the end of a course on statistics that defines probability as the limit of many trials, and discusses probability distribution functions and the Gaussian distribution. We show how to introduce students to the concepts of…

Sampling without replacement is an important aspect in teaching conditional probabilities in elementary statistics courses. Different methods proposed in different texts for calculating probabilities of events in this context are reviewed and their relative merits and limitations in applications are pinpointed. An alternative representation of…

Fantasy baseball, a game invented in 1980, allows baseball fans to become managers of pretend baseball teams. In most fantasy baseball leagues, participants choose teams consisting of major league players who they believe will do well in five offensive categories (batting average, home runs, runs batted in, stolen bases, and runs scored) or in…

In this study, students' conceptual difficulties about some basic concepts in quantum mechanics like one-dimensional potential well problems and probability density of tunneling particles were identified. For this aim, a multiple choice instrument named Quantum Mechanics Conceptual Test has been developed by one of the researchers of this study…

This study used an ecobehavioral approach to investigate the conditional probability that English language learning (ELL) students would engage in academic tasks in urban middle school content area classrooms within different instructional grouping configurations. These configurations included whole class, small group, one-to-one, and individual…

Often the differences students see in science and mathematics classrooms are in perspective, approach, or application. Understanding those differences can help teachers to present a unified picture of mathematics and science to their students. In this article, the science teacher is given a glimpse of the treatment of topics shared by both…