Members of a third-grade class were involved in a heated discussion. They were using a fixed number of links to create fences for toy cows. The children could change the shape of the field produced by the links, but they could not add any links or take any away. Understanding the relationship between perimeter and area is a difficult concept for…

Certain secondary school subjects, such as geography, contain topics which are based on mathematical concepts. However, some geography teachers either fail to recognize this connection or choose to ignore it when they teach. Instead, they present the subject matter as a collection of facts, which need to be memorized and reproduced by the pupils.…

Over the last decade, WebQuests have grown in popularity in educational environments. In order to effectively implement a WebQuest in the classroom, best pedagogical practices must be employed; however, these best WebQuest practices should reflect the exigent 21st century skills students need to be successful, productive members of the global…

This document presents hypotheses about how much understanding a user needs to perform skillfully using a computer or a computer program. A framework for characterizing user understanding is presented which includes three criteria for evaluating the representation generated during problem solving: (1) internal coherence--whether the components of…

The paper argues that a relationship between visualization and mathematical problem solving ability exists. Research suggests that visual imagery leads to increased understanding of mathematical concepts at both the primary and secondary levels. Mathematical potential is not necessarily "born." Potential can be created in the least likely students…

This introduction to computer simulations as an integrated learning experience reports on their use with students in grades 5 through 10 using commercial software packages such as SimCity, SimAnt, SimEarth, and Civilization. Students spent an average of 60 hours with the simulation games and reported their experiences each week in a personal log.…

Describes a new system for teaching architectural education known as Architectural Design Education. States that this system, developed by Anne Taylor and George Vlastos, introduces students to the problem solving process, integrates creative activities with traditional disciplines, and enhances students' and teachers' ability to relate to their…

Describes four methods to structure estimation activities that enable students to make connections between their understanding of numbers and extensions of those concepts to estimating. Presents activities that connect estimation with other curricular areas, other mathematical topics, and real-world applications. (MDH)

This book is based on the idea that curriculum development projects focused on integrated or interdisciplinary teaching within the context of real-world problem solving creates dynamics and meaningful learning experiences for students. The real-world, problem-solving units presented in this book were created by four intern teachers, their mentor…

Using the children's book "Tops and Bottoms" by Janet Stevens--an adaptation of the classic fable of the Tortoise and the Hare--students are given opportunities to build connections between a problem-solving situation and mathematics and to communicate solutions through writing, symbols, and diagrams. A key concept is to demonstrate to students…

Reports on the development of a modified Problem-Based Learning approach to a freshman course. Enables faculty to teach basic biochemical concepts and principles as well as their application to clinical cases. Includes the syllabus and workshop goals based on Bloom's taxonomy. (MVL)

This paper presents a rationale for teaching higher level thinking skills to students with special needs, including those with mild mental handicaps and learning disabilities. It briefly reviews the literature on teaching such skills, stressing that thinking skills can be taught through specific teaching methods such as a four-step method…

Discusses the Technology, Science, Mathematics Integration Project's technological problem-solving method, briefly describes 15 activities and the corresponding technology, science, and mathematics content involved (including 1 detailed example), and proposes a general structure of the activities and research in support of this approach. (MKR)