Many fraction activities rely on the use of area models for developing partitioning skills. These models, however, are limited in their ability to assist students to visualise a fraction of an object when the whole changes. This article describes a fraction modelling activity that requires the transfer of water from one container to another. The…

Creation of physical models can help students learn science by enabling them to be more involved in the scientific process of discovery and to use multiple senses during investigations. This activity achieves these goals by having students model ocean currents in the Gulf of Mexico. In general, oceans play a key role in influencing weather…

Inspiring Science Education (ISE) (http://www.inspiringscience.eu/) is an EU funded initiative that seeks to further the use of inquiry-based science learning (IBSL) through the medium of ICT in the classroom. The Basketball Shot is a scenario (lesson plan) that involves the use of video capture to help the student investigate the concepts of…

A considerable body of research exists on students' understanding of decimal fractions and the prevalence and persistence of common misconceptions related to this understanding. Results from major studies such as the National Assessment of Educational Progress (NAEP) in the United States and the Concepts in Secondary Mathematics and Science (CSMS)…

Models for developing addition, subtraction, and multiplication with integers are given. (MNS)

Mathematical models that are used to solve facility location problems are presented. All involve minimizing some distance function. (MNS)

Algorithms to determine the optimal locations of emergency service centers in a given city are presented, with theorems and proofs. (MNS)

This document contains informal geometry explorations that provide students with opportunities to investigate the environment from a geometric perspective, construct connections between related mathematics and other content areas, and solve problems in a geometric context. The activities provide experiences that develop curiosity, understanding,…

The rational plane, consisting of the points in the Cartesian plane having two rational coordinates, is a model in which certain properties do not hold. Nine theorems are discussed. (MNS)

An iterative procedure for adjusting examination marks from papers of varying standards is given. The convergence of the procedure is demonstrated and attention is drawn to an underlying linear model. (MP)

Introduces the activity of building a biome which can be used both for lecture and assessment purposes. Lists required materials and procedures for this activity. (YDS)

The problem of managing the reserve of cobalt is presented, followed by a method for bringing the stockpiled amount from any level to a desired goal. Solving a stochastic programming problem is involved. The procedure is discussed in detail. (MNS)

The author considers the selection of a baseball bat from a mathematical perspective. The effectiveness of a bat-slider system is specifically analyzed. Results are presented graphically to show the effects of the mass of the slider on the swing time and on the batted ball velocity. (PK)

There are many problems that can be translated into the language of graph theory. Such a problem, discussed in this article is to show that in any group of two or more people, there are at least two people who have the same number of acquaintances in the group. (PK)

This guide focuses on scale models of distances. Activities also incorporate mathematics but can be used in science and technology grades 5-8 classes. The content of the book is divided into three sections: (1) Introductory Activities; (2) Core Activities; and (3) Activity/Assessment. Activities include: (1) KWL Chart; (2) Ball and String…