This study examined the effects of inquiry training on students' ability to think analytically and the relationships of that ability with achievement in geometry and algebra. Results indicated that inquiry-trained students were not more analytical in approaching mathematics than others. (SD)

Presents an activity that illustrates the application of mathematics to modern navigation and utilizes the Global Positioning System (GPS). GPS is a constellation of 24 satellites that enables receivers to compute their position anywhere on the earth with great accuracy. (DDR)

Examined relations between algebraic word-problem attributes and students' strategies, errors, and problem difficulty. Found that constructed responses capture strategy formulation and high-level planning--as do traditional measures of quantitative reasoning--but are more sensitive to individual problem characteristics and procedural errors that…

Reports on a case study of a 16-year-old student working on transformations of functions in a computer-based, multirepresentational environment. Presents an analysis of the work during the transition from the use of visualization and analysis of discrete points to the use of algebraic symbolism. (AIM)

Introduces students to the study of dynamical systems through a number of learning activities that explore functions in general and linear and exponential functions in particular. Students use calculators to interpret graphs, find patterns in tables of data, and also use algebra. (DDR)

Focuses on Standard 4: Knowing Mathematical Pedagogy from the "Professional Teaching Standards" from the National Council of Teachers of Mathematics. Uses the profile of an algebra teacher and his pedagogy to explore how this standard might be exemplified in practice. (DDR)

Provides examples of the mathematics explored in a project that involved teachers in seminars in which they solved problems that focused on algebraic thinking across the grades. Presents the project as a model for staff development for teachers across grade levels. (DDR)

Reports findings from the team teaching of a course in mathematical problem solving designed for secondary and community college teachers to clarify the concept of ."ecessary and sufficient" conditions. Discusses assigned problems and students' incorrect interpretations. Student interpretations showed how simple mistakes can often lead to rich…

Discusses the Texas Instruments calculator the TI-92 and how it can be an effective tool in the mathematics classroom. Provides examples of combining the algebra capabilities of the calculator and Cabri-Geometry II with graphing, tables of values, statistics, programming, and a simple text editor to enhance mathematics instruction. (DDR)

Describes a pilot project for MATLAB work in both information communication technology (ICT) and mathematics. The ICT work is on flowcharts and algorithms and discusses ways of communicating with computers. Mathematics lessons involve early algebraic ideas of variables representing numbers. Presents an activity involving number sequences. (KHR)

Introduces Hogben's adaptation of Zeno's paradox, "Achilles and the Tortoise", as a thinking and writing exercise. Emphasizes engaging students' imagination with creative, thought-provoking problems and involving students in evaluating their word problem-solving strategies. Describes the paradox, logical solutions, and students' mathematical…

Introduces an activity, Equation Telephone, designed to improve students' ability to interpret written information and recognize equivalent forms of an equation. Discusses the activity in detail and presents examples of student responses. (KHR)

This article develops an algorithm to find all solutions to the problem, making all sums of a hexagram's nine lines the same. It shows how to exploit the geometric structure of the hexagram and its group of automorphisms. (YP)

Investigated was the relation between student ability to translate sentences into equations, equations into sentences, and student performance in formal operational reasoning, proportional reasoning, and introductory-level chemistry. Results indicate that students who lack formal operational skills may experience problems in the translation of…

Presents a method for using matrix algebra and computers to encode and decode secret messages. Provides examples of coding procedures, a short review of matrix multiplication, and a BASIC program for use with secret messages containing up to 1000 numbers. (RT)