Trypsin and soybean trypsin inhibitor (Kunitz inhibitor) can be used in a relatively simple and inexpensive student exercise to demonstrate the usefulness of enzyme kinetics. The study of enzyme kinetics is essential to biology because enzymes play such a crucial role in the biochemical pathways of all living organisms. The data from enzyme…

Classroom climate, though difficult to define and assess, affects student learning especially in the elementary schools. Much of the current research focuses on the primary architect of classroom climate--the teacher. There is little doubt that teacher behaviors determine the overall climate of the classroom, but peer actions and reactions also…

We give an example of a student project that experimentally explores a topic in random graph theory. We use the "Combinatorica" package in "Mathematica" to estimate the minimum number of edges needed in a random graph to have a 50 percent chance that the graph is connected. We provide the "Mathematica" code and compare it to the known theoretical…

We examine the behavior of the curvature function associated with most common families of functions and curves, with the focus on establishing where maximum curvature occurs. Many examples are included for student illustrations. (Contains 18 figures.)

In this paper, results of a questionnaire about continuity of functions are analysed. The tested students attend Novi Sad grammar school. The aim of this test was to check the student's theoretical and visual knowledge of continuous functions at the end of their high school education. The questions were given with and without the graphs of…

Using Freudenthal's method of historical phenomenology, the history of statistics was investigated as a source of inspiration for instructional design. Based on systematically selected historical examples, hypotheses were formulated about how students could be supported in learning to reason with particular statistical concepts and graphs. Such a…

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…