Forty Swedish elementary students, 7-12 years of age and working in pairs, constructed a series of bar graphs and pie charts using a graphing application software as an instructional tool under the guidance of the researcher. After successive withdrawal of help, each pair drew a small number of graphic displays manually at the end of the data…

We have concluded that teaching undergraduate students to use spreadsheet software to analyze, interpret, and communicate spreadsheet data through a graph is an information technology exercise in whole brain thinking. In investigating why our students have difficulty constructing proper graphs, we have discovered that graphing requires two…

Although the process of doing social network analysis (SNA) is similar to traditional research and evaluation design, it is in the details that the two traditions diverge. This article describes two areas of differences: (1) the framework for doing SNA; and (2) data collection, analysis, and specific measures. SNA is about relationships and how to…

This paper describes a content upgrading course on Secondary School Algebra which was planned and conducted for in-service mathematics teachers who are trained to teach mathematics at lower secondary level (ages 13 to 14). In order to be an effective mathematics teacher, one needs to know a great deal of mathematical knowledge on top of good…

This article examines a "calculus graphing schema" and the triad stages of schema development from Action-Process-Object-Schema (APOS) theory. Previously, the authors studied the underlying structures necessary for students to process concepts and enrich their knowledge, thus demonstrating various levels of understanding via the calculus…

Inference, or decision making, is seen in curriculum documents as the final step in a statistical investigation. For a formal statistical enquiry this may be associated with sophisticated tests involving probability distributions. For young students without the mathematical background to perform such tests, it is still possible to draw informal…

This study analyzed graphical solutions of 344 students in grades 4 through college who were administered a 40-item assessment of basic fraction concepts. Of particular interest were six problems that required students to complete the whole given a fractional part presented in area contexts and set contexts. Results indicated that fourth graders…

This study examined the effects of using static graphics and animated graphics to introduce statistical concepts associated with analysis of variance (ANOVA) to a group of college students. The demonstrations led the learner from the concrete to the abstract by use of dynamically adjustable variables paired with immediate feedback. Participants in…

This instructor guide, which was developed for use in a manufacturing firm's advanced technical preparation program, contains the materials required to present a learning module that is designed to prepare trainees for the program's statistical process control module by improving their basic math skills in working with line graphs and teaching…

The goals of this unit are to explore the magic, history, and development of imaging technology, clarify what X-rays and radiation are, examine the issues involved in imaging technology, understand basic anatomy, explore careers related to radiology, and promote future good health. Included in the unit are the teacher's guide, a collection of…

Developed by educators from the Emily Griffith Opportunity School, this teacher's guide was developed for a 4-hour workshop to teach employees how to read the charts and graphs they need in the workplace. The unit covers four types of graphs: pictographs, bar graphs, line graphs, and circle graphs. The guide is divided into four sections: reading…

This Monte-Carlo study compared modified Newton (NW), expectation-maximization algorithm (EM), and minimum Cramer-von Mises distance (MD), used to estimate parameters of univariate mixtures of two components. Data sets were fixed at size 160 and manipulated by mean separation, variance ratio, component proportion, and non-normality. Results…

Students in grades 3 to 8, who participated in the Follow Through program in Portland, Oregon, were tested for their reading and mathematics achievement during Fall 1979, Spring and Fall 1980, and Spring 1981. The measuring instrument used was the Portland Basic Skills Achievement Levels Testing Program. Test results were reported as RIT (Rasch…

Several problems involving "pi" and "e" can be approached by diagramming, flow charting, and computer programing. (SD)

Concerns about students' difficulties in statistical reasoning led to a study which explored year 11 (14 to 16 year-olds) students' ideas in this area. The study focussed on sampling variability, probability, descriptive statistics and graphical representations. This paper presents and discusses the ways in which students made sense of sampling…