In statistics classes, the central limit theorem has been demonstrated using simulation-based illustrations. Known population distributions such as a uniform or exponential distribution are often used to consider the behavior of the sample mean in simulated samples. Unlike such simulations, a number of real-data-based simulations are here…

Many students persistently misinterpret histograms. This calls for closer inspection of students' strategies when interpreting histograms and case-value plots (which look similar but are different). Using students' gaze data, we ask: "How and how well do upper secondary pre-university school students estimate and compare arithmetic means of…

This is the fourth in a series of statistical articles for mathematics teachers. In this article, the authors discuss topics in General Mathematics in Unit 2 Topic 1 (Univariate data analysis and the statistical investigation process) and topics in Essential Mathematics, Unit 2 Topic 1 (Representing and comparing data).

The statistics used in education research are based on central trends such as the mean or standard deviation, discarding outliers. This paper adopts another viewpoint that has emerged in statistics, called extreme value theory (EVT). EVT claims that the bulk of normal distribution is comprised mainly of uninteresting variations while the most…

The number of increases a particular stock makes over a fixed period follows a Poisson distribution. This article discusses using this easily-found data as an opportunity to let students become involved in the data collection and analysis process.

Over the past two decades there have been major developments in deaf education in many countries. Medical and technical advances have made it possible for more deaf children to hear and speak successfully. Most deaf pupils learn in ordinary classes in mainstream schools. In this article we explore patterns of achievements of deaf pupils to see if…

Past research have pointed out that excellent strategies have been written but extremely small have been accomplished in their implementation. It has additionally been proposed that only 10% of formulated strategies are successfully implemented. However, crafting the best strategy is not the end in itself but the ultimate result will only be…

In light of the emergence of statistical analysis techniques based on data mining in education sciences, and the potential they offer to detect non-trivial information in large databases, this paper presents a procedure used to detect factors linked to academic achievement in large-scale assessments. The study is based on a non-experimental,…

Many institutions struggle to develop a meaningful way to assess the effectiveness of drop-in tutorial services provided to students. This article discusses the development of a data collection system based on a visitor sign-in system that proved to be an efficient method of gathering assessment data, including frequency of visits, end-of-course…

In this paper, we describe an in-class experiment that is easy to implement with large groups of students. The experiment takes approximately 15-20 minutes to run and involves each student completing one of four types of Sudoku puzzles and recording the time it takes to completion. The resulting data set can be used as a teaching tool at an…

Given federal mandates, public school districts have adopted inclusive practices with the expectation that general education teachers can accommodate students with disabilities. For teacher preparation programs to prepare future teachers for this reality, it is important to understand the composition of a "typical" general education…

Research on women in leadership has received growing attention in recent years. But not enough studies have investigated the way women construct leadership and management of the academic department. This article reports on the findings of an inquiry into the experiences of women heads of academic departments (HoDs) at universities in South Africa…

Seventy-nine studies in geoscience conceptions appeared in peer-reviewed publications in English from 1982 through July 2009. Summaries of the 79 studies suggest certain recurring themes across subject areas: issues with terms, scale (temporal and spatial), role of prior experience, and incorrect application of everyday knowledge to geoscience…

The utility of the three-form design coupled with maximum likelihood methods for estimation of missing values was evaluated. Simulation studies demonstrate that maximum likelihood estimation and multiple imputation methods produce the most efficient and least biased estimates of variances and covariances for normally distributed and slightly…

A step-by-step outline is presented for testing the applicability of Lotka's law of scientific productivity. Steps include the computation of the values of the exponent and constant based on Lotka's method and the test for significance of observed frequency distribution against the estimated theoretical distribution derived from Lotka's formula.…