Probabilistic reasoning underpins much of middle school students' future work in data analysis and inferential statistics. Unfortunately for many middle school students, probabilistic reasoning is not intuitive. One specific area in which students seem to struggle is determining the probability of compound events (Moritz and Watson 2000). Research…

Recent findings have suggested that adults' and children's approximate number system (ANS) acuity may be malleable through training, but research on ANS acuity has largely been conducted with adults and children who are from middle- to high-income homes. We conducted 2 experiments to test the malleability of ANS acuity in preschool-aged children…

Purpose: The purpose of this paper is to develop a quantitative model of problem solving performance of students in the computer-based mathematics learning environment. Design/methodology/approach: Regularized logistic regression was used to create a quantitative model of problem solving performance of students that predicts whether students can…

A simple way is given to create residual plots that are words or pictures. Three illustrative examples are presented.

Simulation is an important learning tool that allows students to grasp probability concepts, especially when the actual scenario does not need to be replicated entirely. In the cases of tossing coins and rolling dice, gathering the data before analyzing them can be laborious and might be a waste of precious class time--time that might be better…

Learning with multiple representations is usually employed in order to foster understanding. However, it also imposes high demands on the learners and often does not lead to the expected results, especially because the learners do not integrate the different representations. Thus, it is necessary to support the learners' self-explanation activity,…

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…

ProbLab is a probability-and-statistics unit developed at the Center for Connected Learning and Computer-Based Modeling, Northwestern University. Students analyze the combinatorial space of the 9-block, a 3-by-3 grid of squares, in which each square can be either green or blue. All 512 possible 9-blocks are constructed and assembled in a "bar…

Interpreting information regarding health risks, crime statistics, and government polls requires some ability to use and interpret probabilities. Studies have shown that even after training or coursework in probability and statistics, people still have many difficulties solving probability problems. The thesis of this document is that helping…

Investigates the probability of winning the largest prize at Bingo through a series of five simpler problems. Investigations are conducted with the aid of either BASIC computer programs, spreadsheets, or a computer algebra system such as Mathematica. Provides sample data tables to illustrate findings. (MDH)

This paper examines the mathematical conversations of middle school students as they use computer-mediated graphic representations to construct a shared understanding of the basic concepts of probability under two conditions. The first condition used graphical representations to depict important abstract relationships visually, and the second…

Presented is an activity in which probability and percents are taught using a basketball computer simulation. Computer programs that replicate the free-throw accuracy of college and professional stars and allow students to compete with those stars are included. (KR)

The materials described here represent the conversion of a highly popular student workbook "Sets, Probability and Statistics: The Mathematics of Life Insurance" into a computer program. The program is designed to familiarize students with the concepts of sets, probability, and statistics, and to provide practice using real life examples. It also…

Describes two activities to introduce or extend the concept of the natural number e. Students conduct a lottery using either a table of random numbers or a computer simulation to link experimental probability results to the theoretical probability and to the number e. (MDH)

The development of an instructional model for teaching formal mathematical concepts (probability concepts) to disadvantaged high school students through computer programming and some results from a field test are described in this document. The instructional model takes into account both learner characteristics (cognitive, affective, and…