The author argues that sine, secant, and tangent should be taught as the three basic trigonometric functions rather than sine, cosine, and tangent. (SD)

A method is presented for finding an asymptote which is not parallel to the x or y axis in a graph. (DT)

A Mascheroni construction for obtaining the length of a line segment which is the square root of a natural number is explained. (DT)

This article presents, in the context of solving a specific mathematical problem, an argument to indicate how problem posing can lead to a deeper understanding of what is involved in the act of problem solving. (DT)

Four problems concerning the maximum number of regions determined by circles and polygons are explored. (DT)

This book is designed to help students gain the range of math skills they need to succeed in life, work, and on standardized tests; overcome math anxiety; discover math as interesting and purposeful; and develop good number sense. Topics covered in this book include algebra and geometry. Lessons are organized around four strands: (1) skill lessons…

In a longitudinal study of children in grades 0-4, gender differences are developing very early in some number domains, but there do not appear to be similar differences showing in the measurement and geometry domains studied. The Early Numeracy Research Project collected data at the beginning and end of each year from over 11,000 children in…

In this paper we report on a research aimed to identify and characterize secondary school students' reasoning and proof abilities when working with 3-dimensional geometric solids. We analyze students' answers to two problems asking them to prove certain properties of prisms. As results of this analysis, we get, on the one side, a characterization…

This book demonstrates how K-2 students deepen their mathematical ideas when encouraged to represent and communicate their thinking. Numerous vignettes from actual classrooms and reflective comments from teachers provide a model for how show and tell can enhance classroom teaching and improve children's learning. Examples of students' work and…

The World's Largest Math Event 6 (WLME 6) is the National Council of Teachers of Mathematics' (NCTM) celebration of mathematics and mathematics education and is the highlight of Mathematics Education Month. This year's event, slated for April 28, 2000, features the theme "Animals as Our Companions". This theme encourages students to…

This book introduces concepts of geometry that students use throughout middle-grade and higher-level mathematics courses. These concepts, presented through the study of transformations, provide a framework for other important topics such as number, measurement, proportional reasoning, and graphing on the coordinate plane. The book is designed for…

This assessment sample provides information on the Missouri Assessment Program (MAP) for grade 10 mathematics. The sample consists of three items taken from the test booklet and scoring guides for the three items. The items assess geometric/spatial sense and measurement, patterns and relationships, and number sense. (MM)