On average, Florida students earn only half of the points possible in the statistics content area of the state's annual mathematics assessment. Leaders in Broward County Public Schools, a large, diverse, urban school district, viewed changes to statistics curriculum and instruction as one way to address this issue. This study randomly assigned 40…

Broward County Public Schools (BCPS) has identified low student achievement in statistics in the middle grades as a critical concern. It has also expressed concern that statistics instruction does not meet the level of cognitive complexity described in the state curriculum standards. This randomized controlled trial in 40 BCPS middle schools…

Whether students are beginning their study of probability or are well into it, distinctions between complementary sets and mutually exclusive sets can be confusing. Cathy Schloemer writes in this article that for years she used typical classroom examples but was not happy with the student engagement or the level of understanding they produced.…

These are the appendixes for the report "Effects of an Inquiry-Oriented Curriculum and Professional Development Program on Grade 7 Students' Understanding of Statistics and on Statistics Instruction." This cluster-randomized controlled trial compared the Supporting Teacher Enactment of the Probability and Statistics Standards (STEPSS)…

Mokken scale analysis (MSA) is a probabilistic-nonparametric approach to item response theory (IRT) that can be used to evaluate fundamental measurement properties with less strict assumptions than parametric IRT models. This instructional module provides an introduction to MSA as a probabilistic-nonparametric framework in which to explore…

There is extensive research pointing to the positive effects of education in the form of labour market outcomes. These outcomes are vital when evaluating education; there are however additional outcomes of education that might also be important for quality of life. From this point of view, education could affect non-market areas such as democracy,…

Hypothesis testing is one of the more difficult concepts for students to master in a basic, undergraduate statistics course. Students often are puzzled as to why statisticians simply don't calculate the probability that a hypothesis is true. This article presents an exercise that forces students to lay out on their own a procedure for testing a…

We introduce a design-based research framework, "learning axes and bridging tools," and demonstrate its application in the preparation and study of an implementation of a middle-school experimental computer-based unit on probability and statistics, "ProbLab" (Probability Laboratory, Abrahamson and Wilensky 2002 [Abrahamson, D., & Wilensky, U.…

A discussion on the use of group question on final exams is presented to approach work units on probability or counting. Where it is easy to find problems that are both nonroutine and will stretch students minds a bit. The group question is also the fist part of the exam, which involves preliminary discussion and planning, division of labor, and…

Investigates an interesting application of probability in the world of sports. Considers the role of permutations in the lottery system used by the National Basketball Association (NBA) in the United States to determine the order in which nonplayoff teams select players from the college ranks. Presents a lesson on this topic in which students work…

Examines the role of variation in statistics education. Describes a chance and data unit with a focus on variation that was conducted in three high school mathematics classes. (ASK)

This unit is designed for elementary school students in intermediate grades. It is designed to make mathematics enjoyable, promote systematic thinking, practice and reinforce arithmetic skills, and provide opportunity for independent research. The student manual contains twelve lessons with background information and activities. In addition, the…

In this issue's "Classroom Notes" section, the following papers are discussed: (1) "Constructing a line segment whose length is equal to the measure of a given angle" (W. Jacob and T. J. Osler); (2) "Generating functions for the powers of Fibonacci sequences" (D. Terrana and H. Chen); (3) "Evaluation of mean and variance integrals without…

This unit deals with the concept of probability, the use of probability to make predictions, and procedures to gather and display probability data using graphs. Fractions are used to express probabilities. Instructional objectives for probability and for graphing (circle, bar, and line segment graphs) are contained in the booklet as well as…

A self-teaching module on queues, dealing with the use of random numbers in the simulation of realistic queueing or waiting-line situations, is described. Both mathematical content and teaching methods are considered. (MNS)