Solving real-life problems through mathematical modeling is one of the aims of modern mathematics curricula. For this reason, prospective mathematics teachers need to acquire modeling skills and use these skills in learning environments in terms of creating rich learning environments. With this study, it is aimed to examine the reflections of…

This descriptive and correlational study investigated the effects of using PSPP in learning Statistics on students' attitudes and performance. The respondents of the study were 200 Grade 11 Senior High School students who were enrolled in Probability and Statistics subject during the Second Semester of School Year 2018-2019. The respondents were…

Mathematics teachers continually look for ways to make the learning of mathematics more active and engaging. Hands-on activities, in particular, have been demonstrated to improve student engagement and understanding in mathematics classes. Likewise, many scholars have emphasized the growing importance of giving students experience with the…

This undergraduate physical chemistry laboratory exercise introduces students to the study of probability distributions both experimentally and using computer simulations. Students perform the classic coin toss experiment individually and then pool all of their data together to study the effect of experimental sample size on the binomial…

This classroom note illustrates how dynamic visualization can be used to teach conditional probability and Bayes' theorem. There are two features of the visualization that make it an ideal pedagogical tool in probability instruction. The first feature is the use of area-proportional Venn diagrams that, along with showing qualitative relationships,…

Sharing user information between systems is an area of interest for every field involving personalization. Recommender Systems are more advanced in this aspect than Intelligent Tutoring Systems (ITSs) and Intelligent Learning Environments (ILEs). A reason for this is that the user models of Intelligent Tutoring Systems and Intelligent Learning…

Many researchers claim that children from a very young age form intuitive conceptions of probability, which may be adapted through properly designed learning activities. In addition, the random number generators as well as the dynamic interactive representations offered by digital technologies, open up new possibilities in learning probability…

The television show Deal or No Deal and an Excel spreadsheet help students see how understanding probability and mean--and the concept of expected value (EV)--can lead to game show wins.

This article describes a one-week introduction to stochastic groundwater modeling, intended for the end of a first course on groundwater hydrology, or the beginning of a second course on stochastic hydrogeology or groundwater modeling. The motivation for this work is to strengthen groundwater education, which has been identified among the factors…

Data analysis plays a prominent role in various facets of modern life: Schools evaluate and revise programs on the basis of test scores; policymakers make decisions on the basis of information gleaned from polling data; supermarkets stock shelves on the basis of data collected at checkout lanes. Data analysis provides teachers with new tools and…

Discussed are the use of probability simulations in a mathematics classroom. Computer simulations using regular dice and special dice are described. Sample programs used to generate 100 rolls of a pair of dice in BASIC and Logo languages are provided. (YP)

This study was conducted in the spring of 2002 at Arlington High School in a Probability and Statistics course for junior and senior level students. Two sections of the class were compared with respect to the use/non-use of EXCEL in the course. The experimental group (the one using EXCEL) outperformed the control group on five of the six…

Provides a short BASIC program, RANVAR, which generates random variates for various theoretical probability distributions. The seven variates include: uniform, exponential, normal, binomial, Poisson, Pascal, and triangular. (MVL)

This paper describes a computer simulation of Buffon's needle problem. The problem considers the probability that a needle will cross a line when the needle is thrown in a random way onto the parallel lines a certain distance apart. The paper provides the algorithm and computer program. (YP)

This study examines the characteristics and quality of simplification in graded readers as compared to those of "normal" authentic English. Two passages from graded readers are compared with the original passages. The comparison uses a computer programme, RANGE (Nation and Heatley, 2003) to analyse the distribution of high and low frequency words…