The heliocentric, or Sun-centered model, one of the most important revolutions in scientific thinking, allowed Nicholas Copernicus to calculate the periods, relative distances, and approximate orbital shapes of all the known planets, thereby paving the way for Kepler's laws and Newton's formation of gravitation. Recreating Copernicus's…

Prediction is a great skill to have in any walk of life: it can, in fact, save lives at times. While the two investigations posed in this column may not be that dramatic, they might just increase one's appreciation of some important connections between grids and rectangles and the divisors of numbers that appear in the dimensions of those…

Several ways for solving inequalities have been suggested in the literature, among them graphical, verbal and algebraic solutions. A new look at solving inequalities via use of the intermediate value theorem is presented here, and this method may prove to be straightforward for many students.

Solving problems often means trying out ideas one knows about which might lead down blind alleys. In this article, the author provides a solution to the following simple mathematical problem: Suppose you have four points which are on the four sides of a square, how do you construct the square? He says that the obvious place to tackle it is to use…

Students analyze a photograph to solve mathematical questions related to the images captured in the photograph.

Students analyze a photograph to solve mathematical questions related to the images captured in the photograph.

This document contains the third volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Ead and Kou:…

This report examines the importance and efficacy of oral language, literacy, mathematics, and science preschool curricula and how these curricula can be improved through alignment with research on early childhood development and learning. Detailed, research-driven recommendations are presented for what preschool-aged children should be learning in…

This research was conducted during an after-school partnership between a University and school district in an economically depressed, urban area. The school population consists of 99% African American and Latino students. During the informal after-school math program, a group of 24 6th-grade students from a low socioeconomic community worked…

Computer games are no longer just for entertainment; they have also become a useful instructional strategy for acquiring knowledge. When games are used for purposes other than strict entertainment they become serious games. The goal of serious games is to enable the player to learn a task, master a strategy or develop a skill. Serious games can be…

In this important resource, Dr. Fleming (a noted expert in the field of minority retention) draws on educational evaluations she has developed in the course of her distinguished career. This book analyzes the common factors and the role institutional characteristics play in minority student retention to show what really works in increasing…

This document presents the scope and outline for an undergraduate course in mathematics education designed to teach methods of teaching secondary mathematics. After a course description and rationale, the essence of the course is divided into two parts: course objectives and a topical outline. The first part includes objectives in the areas of…

This book is for teachers of children in preschool through grade 4. It is designed to help teachers make important decisions about the mathematics curriculum and give them some effective ways to help children attain the mathematical power needed for everyday use and for future careers. Relevant research in each chapter provides a framework and…

This practicum addresses the need to organize a structured problem solving program for fifth and seventh grade students. The improvement of the students' problem solving skills and the enhancement of students' attitudes toward problem solving in mathematics were the main goals. The program implemented consisted of a structured problem solving…

Reports part of the results of the Design, Development, and Assessment in Mathematics Education Project that tested the booklet on descriptive statistics called "Data Visualization" in six experimental algebra classes in Whitnall, Wisconsin. Describes examples of problems presented, use of cooperative learning during instruction, and…