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)

Describes graphical techniques to help explain the multiple creation of deposits that accompany lending in a fractional reserve banking system. Presents a model that emphasizes the banking system, the interaction of total permitted, required, and excess reserves and deposits. Argues that the approach simplifies information to examining a slope…

A procedure that allows students to view an entire bacterial growth curve during a two- to three-hour student laboratory period is described. Observations of the lag phase, logarithmic phase, maximum stationary phase, and phase of decline are possible. A nonpathogenic, marine bacterium is used in the investigation. (KR)

Described is the use of two types of physical sensors, a motion sensor, and a light gate, which enable the microcomputer to be used as a measuring instrument for practical experiments on motion. (KR)

Described is a situation where students are allowed to enlist the aid of a computer graphing program to produce graphs for their lab reports. (KR)

Cross-sectional and longitudinal data from students as they advance through the middle school years (grades 6-8) reveal insights into the development of students' pattern generalization abilities. As expected, students show a preference for lower-level tasks such as "reading the data," over more distant predictions and generation of abstractions.…

Two approaches to the teaching of logarithms are described. One is essentially algebraic while the other involves integration. (SD)

The purpose of the study was to determine in what sequence skills in graph interpretation should be presented in grades K-9. A sequential list of mathematics skills for grades K-9 was constructed, graph skills were identified and arranged in a sequential and spiral manner, then graph skills were matched with appropriate mathematics skills and…

The representation of equivalent fractions is traditionally illustrated by diagrams showing division of units into parts. A second approach using linear graphs is suggested. (SD)

Four activities are outlined that give students the opportunity to organize and display data. Selecting topics and various ways of displaying data with a microcomputer are discussed. (MNS)

Graph theory is promoted as a vehicle for using the discovery method. A lesson is presented to illustrate the method, and activities and questions for further exploration are provided. (MNS)

Presents ideas related to: (1) graphs (considering patterns, periodic functions, and problem-solving); (2) curing common errors (such as an incorrect way of canceling); (3) the median of a trapezoid; and (4) using a telephone directory to teach probability, graphing, random-number tables, reading tables, calculating percentages, and other topics.…

Intended to aid teachers in presenting spatial modeling to students over a series of lectures and then applying it at various points during a political science course, this paper describes and explains the use of spatial models for understanding voting behavior based on microeconomic theories. (ND)

The lesson details an approach to teaching positive and negative numbers which uses number pairs and generates inverses that initially avoid any mention or use of negative signs. The material moves pupils from development of key concepts to the use of more standardized notation for number operations. (MP)