A method for sketching functions and finding slopes and roots rising synthetic division is illustrated. (MK)

Use of Logo to teach statistical ideas is proposed for students in grades 5-10. Procedures and diagrams are suggested, with program listings for four models for graphs. (MNS)

Much can be learned from a study of rational functions and the behavior of their graphs, so their inclusion in secondary school mathematics textbooks is urged. Analysis of reciprocal relationships and when they don't apply, asymptotes, and the graphing technique are each included in the discussion. (MNS)

This book provides a resource for mathematics teachers to understanding the National Council of Teachers of Mathematics' (NCTM) standards and implementing these standards in their teaching. Five standards are overviewed: (1) number and operation; (2) algebra; (3) geometry; (4) measurement; and (5) data analysis and probability. Lesson plans are…

Graphs are viewed as extremely useful tools in communication, which enable readers to see at a glance facts that might take several paragraphs to describe adequately. An ability to read graphs critically is seen to be an important objective for any elementary curriculum, and ways to introduce them are presented. (Author/MP)

Four problems are presented and solutions using a calculator are illustrated. (MK)

The article discusses the experiences of the writer when using simple surveying as a practical topic with secondary school children. (Author/MK)

Practical tips on the teaching of subtraction, addition and subtraction of fractions, and finding the vertex of a parabola are given. (MK)

Discusses when to use the computer, paper-and-pencil, or mental-computation procedures. Provides examples of solving problems dealing with roots of polynomial using computer graphing and other strategies. Suggests implications for curricular planning. (YP)

This document contains detailed directions for constructing a device that mechanically produces the three-dimensional shape resulting from the rotation of any algebraic line or curve around either axis on the coordinate plant. The device was developed in response to student difficulty in visualizing, and thus grasping the mathematical principles…

This document argues that qualitative graphing is an effective introduction to mathematics as a construction for communication of ideas involving quantitative relationships. It is suggested that with little or no prior knowledge of Cartesian coordinates or analytic descriptions of graphs using equations students can successfully grasp concepts of…

During the first 12 weeks of an applied calculus course, two classes of college students studied calculus concepts using graphical and symbol-manipulation computer programs to perform routine manipulations. Three weeks were spent on skill development. Students showed better understanding of concepts and performed almost as well on routine skills.…

Includes materials in reproducible format designed to help students read and draw distance-time graphs and use the slopes of these graphs to draw conclusions about car speed. (PK)

Suggests that in the mathematics classroom the federal income tax may serve as a familiar example to illustrate several aspects of the mathematical concept of function. (PK)

This yearbook provides the mathematics education community with specific perceptions about discrete mathematics concerning its importance, its composition at various grade levels, and ideas about how to teach it. Many practical suggestions with respect to the implementation of a discrete mathematics school program are included. A unifying thread…