Differing treatments of graphs in mathematics and science are discussed. A teaching sequence to develop contrasts between real and ideal data is suggested. (MP)

Examines bar models as graphical representations of rational numbers and presents related real life problems. Concludes that, through pairing the fraction bars with ratio tables and other ways of teaching numbers, numeric strategies become connected with visual strategies that allow students with diverse ways of thinking to share their…

Describes a simulation using dice-tossing students in a population cluster to model the growth of cancer cells. This growth is recorded in a scatterplot and compared to an exponential function graph. (KHR)

Discusses Einstein's special relativity theory and some of the developmental mathematics involved. Presents motivational classroom materials used in discussing relative-motion problems, evaluating a radical expression, graphing with asymptotes, interpreting a graph, studying variation, and solving literal and radical equations. (KHR)

Presented is a method of interchanging the x-axis and y-axis for viewing the graph of the inverse function. Discussed are the inverse function and the usual proofs that are used for the function. (KR)

Discussed are the vital properties that an operator must have to be called a derivative and how derivatives work. Presented is an extension of the derivative that uses least squares to find the line of best fit. (KR)

Uses the process of normalization in the Cartesian coordinate system which entails radial projection onto a transect to compare different compositions of minerals. Warns that the ternary diagram should not be used as a framework for calculations. (MVL)

Describes an instructional technique called "creative graphing" in which students learn to reorder information visually, to interpret the graphic aids of their textbooks more easily, to highlight relationships that are not immediately apparent in the text, and to illuminate ideas for further exploration using charts, trees, stars,…

University students (n=158) were examined to determine whether first describing a mathematical relationship by a written English sentence would affect success in constructing an algebraic equation. Students using common idiomatic forms of English that could not be directly translated into mathematical notation were found to be the most successful.…

Discusses activities to help students make visual generalizations about power and exponential functions, methods to determine an approximate function represented by data using logarithms, hands-on activities, and student activity sheets. Includes a Pascal Turbo computer program which generates random numbers. (MKR)

Argues that teachers and lecturers need to identify essential skills which are technology-independent and need to determine the most effective use of new technology in the classroom. Examines prospects for change using the newer technology of graphing calculators for mathematics courses. Contains 15 references. (ASK)

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…

A study investigated the effectiveness of using a particular type of instructional graphic, a "frame," on fourth and fifth graders' ability to learn from reading their social studies textbooks. Six fourth- and six fifth-grade teachers taught social studies using either frames or the instruction suggested in the teacher's edition of the…

Activities for investigating how the value of a variable in an equation affects the direction and shape of the graph are given. A computer program and three worksheets are included. (MNS)

The focus of these four activities is on gathering, using and interpreting data about bicycles as a basis for integrating mathematics. Measurement, ratios, and other relationships are explored through making graphs, finding bicycling speeds and a parent-involvement activity sheet. (CW)