The purpose of this teaching case is to develop a hands-on exercise on graph processing using a hybrid system. The paper provides a background on graph databases and how graph processing is supported in a hybrid system, SAP HANA. It also details step-by-step instructions on how to create, modify, and process a graph database using SAP HANA. The…

The learning sequence described in this article was developed to provide students with a demonstration of the development of box plots from authentic data as an illustration of the advantages gained from using multiple forms of data representation. The sequence follows an authentic process that starts with a problem to which data representations…

An interesting graphical interpretation of complex roots is presented, since it is probably unfamiliar to many mathematics teachers. (MNS)

How tedious algebraic manipulations for simplifying general quadratic equations can be supplemented with simple geometric procedures is discussed. These procedures help students determine the type of conic and its axes and allow a graph to be sketched quickly. (MNS)

Four different types of problems from graph theory are presented and discussed. (MK)

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)

Examples for determining the equation of a line through two points or a quadratic function that contains three noncollinear points are presented. (MNS)

Provides an activity as an example of how matrices can be introduced from finite graphs and how finite graphs can be analyzed by examining their matrix representations. Presents the materials, objectives, prerequisites, directions, extension activities, answers, and worksheets. (YP)

Given is a proof on the classification of surfaces that involves some simple graph theory. It could serve as an introduction to some methods of modern differential topology. (MNS)

Two different numerical methods, the bisection method and simple iteration, are discussed and illustrated by approximating the real solution of an equation, with programs for the two methods included. Alternative methods are also indicated. (MNS)

Describes activities designed to encourage students to analyze and interpret graphs. Activities include using software to draw clear bottles, fill them gradually, measure and record the water height, then graph the volume and height relationship; graphing cause and effect relationships between gender, height, and shoe size; and graphing…

This technical project report provides the National Science Foundation with information regarding the substantive achievements of the Social Science Education Consortium's project QUESST (Quantitative Understanding To Enhance Social Science Teaching). The report begins with a discussion of materials development and project publicity. Thirty-three…

The various roles and uses of mathematics in developing global awareness in students are considered. Mathematics as a unifier of human experience and problem solving with a global emphasis are discussed with many illustrative examples. (MNS)

Presents a unit to investigate lemons and experience the real taste of a lemon that includes simple, enjoyable, and inexpensive activities that develop students' observation, prediction, measurement, and inference skills. Students also developed creative arts projects, explored mathematical concepts, and wrote stories about fruit. (NB)

Describes a five-step graphing method for various trigonometric periodic functions. Emphases is on teaching constants and functions. (YP)