This is the fifth in a series of statistical articles for mathematics teachers. In this article the authors discuss graphs for exploring relationships between one categorical variable and one numerical variable using stemplots and boxplots and between two numerical variables, using scatterplots and time series plots. [For "The Data Files 4:…

We discuss the learning goals, content, and delivery of a University of Plymouth intensive module delivered over four weeks entitled MATH1608PP Understanding Big Data from Social Networks, aimed at introducing students to a broad range of techniques used in modern Data Science. This module made use of R, accessed through RStudio, and some popular…

The learning sequence described in this article was developed to provide students with a demonstration of the development of box plots from authentic data as an illustration of the advantages gained from using multiple forms of data representation. The sequence follows an authentic process that starts with a problem to which data representations…

The use, and misuse, of statistics is commonplace, yet in the printed format data representations can be either over simplified, supposedly for impact, or so complex as to lead to boredom, supposedly for completeness and accuracy. In this article the link to the video clip shows how dynamic visual representations can enliven and enhance the…

Research that has explored students' interpretations of graphical representations has not extended to include how students apply understanding of particular statistical concepts related to one graphical representation to interpret different representations. This paper reports on the way in which students' understanding of covariation, evidenced…

This guide is designed to help researchers make sure that their research reports include enough information about study measures so that readers can assess the quality of the study's methods and results. The guide also provides examples of write-ups about measures and suggests resources for learning more about these topics. The guide assumes…

This article could be of interest to teachers of applied mathematics as well as to people who are interested in applications of linear algebra. We give a comprehensive study of linear systems from an application point of view. Specifically, we give an overview of linear systems and problems that can occur with the computed solution when the…

This study responds to a request from the National Board for Professional Teaching Standards to analyze National Board certification among high school teachers in understudied subject areas and locales to help fill gaps in the research literature. The authors also were asked to use multiple indicators of performance. The research team selected two…

In recent years the educational policy environment has emphasised data-driven change. This has increased the expectation for school personnel to use statistical information to inform their programs and to improve teaching practices. Such data include system reports of student achievement tests and socio-economic profiles provided to schools by…

We explain how to simulate both univariate and bivariate raw data sets having specified values for common summary statistics. The first example illustrates how to "construct" a data set having prescribed values for the mean and the standard deviation--for a one-sample t test with a specified outcome. The second shows how to create a bivariate data…

Teachers can use census data to teach important mathematics content while addressing issues of social justice. The author describes activities that teach students to read and write large numbers, interpret census data and statistics, and apply algebraic concepts to describe U.S. population growth. Additional learning outcomes include applying…

The purpose of these modules is to provide an introduction to the world of probability and statistics to accelerated mathematics students at the high school level. The materials are centered on the fictional town of Happy Shores, a coastal community which is at risk for hurricanes. Actuaries at an insurance company figure out the risks and…

Using data from Achieving the Dream: Community Colleges Count, this issue of "Data Notes" investigates the number of attempts it takes students to complete all developmental education courses to which they are referred. Subsequent gateway course completion and overall persistence are also examined. Three-year outcomes were analyzed and…

This set of activity sheets requires students to organize and display data with a box-and-whiskers graph. Students use the plot as a summary display to detect patterns and to highlight the important features of the data for purposes of comparison. (PK)

Presented are two examples including data sets for which calculating various elementary statistics will reveal something new about the data. The objective of these examples is to show the student what various statistics may reveal, or not reveal, about a given data set. (PK)