There are challenges in teaching research methodology as highlighted by many researchers. Among the challenges are strategies for putting material in context. For achieving this purpose, students' engagement in the learning process needs to be re-looked. This paper shares on a practice engaging students in a research methodology class. The…

In the Australian mathematics curriculum, Year 12 students (aged 16-17) are asked to solve conditional probability problems that involve the representation of the problem situation with two-way tables or three-dimensional diagrams and consider sampling procedures that result in different correct answers. In a small exploratory study, we…

Repeated sampling approaches to inference that rely on simulations have recently gained prominence in statistics education, and probabilistic concepts are at the core of this approach. In this approach, learners need to develop a mapping among the problem situation, a physical enactment, computer representations, and the underlying randomization…

The purpose of this study is to define teacher views about the difficulties in learning and teaching middle school statistics subjects. To serve this aim, a number of interviews were conducted with 10 middle school maths teachers in 2011-2012 school year in the province of Trabzon. Of the qualitative descriptive research methods, the…

The sampling (probability) distribution for the sum of dice is presented graphically as a compelling demonstration of the Central Limit Theorem.

Monte Carlo simulations are a classical tool to analyse physical systems. When unlikely events are to be simulated, the importance sampling technique is often used instead of Monte Carlo. Importance sampling has some drawbacks when the problem dimensionality is high or when the optimal importance sampling density is complex to obtain. In this…

In this note, it is shown through an example that the assumption of the independence of Bernoulli trials in the geometric experiment may unexpectedly not be satisfied. The example can serve as a suitable and useful classroom activity for students in introductory probability courses.

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…

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…

Discusses some key statistical concepts in probabilistic and non-probabilistic sampling to provide an overview for understanding the inference process. Suggests a statistical model constituting the basis of statistical inference and provides a brief review of the finite population descriptive inference and a quota sampling inferential theory.…

This paper reports a causal-comparative study of science anxiety among Form Four students in Penang. The Wynstra's (1991) Science Anxiety Inventory (SAI), which consists of six factors (i.e., danger anxiety, science test anxiety, math and problem-solving anxiety, squeamish anxiety, performance anxiety, and science classroom anxiety), was…

There is much research that documents what many teachers know, that students struggle with many concepts in probability and statistics. This article presents two sample activities the authors use to help preservice teachers develop ideas about how they can use technology to promote their students' ability to understand mathematics and connect…

Ten high-ability middle school students participated in a 13 week enrichment program on inferential statistics. Consistent with the NCTM Standards, classes emphasized problem solving in real world contexts and the communication of mathematical ideas. Students struggled with written assignments, yet worked effectively in pairs, small groups, and…

Described is an introductory probability and statistics class focused on teaching the concepts of sampling and binomial distributions through a strategy based on teacher and student generated simulation using the Boxer computer language. The value of integrating programing with teaching subject matter is demonstrated, and sample student work is…