Many common objects can provide numerous opportunities for students to develop mathematical concepts and skills. The lesson described in this article provided an excellent opportunity for middle school students to discover how real-life situations do not always present obvious "right" answers. As students explored a question related to the…

This article presents two statistical tasks, one on comparing data sets, another on repeated sampling, both of which have powerful connections to proportional reasoning. Students' work and reasoning on these tasks are included, as well as suggestions for ways to use these tasks with middle school students to connect statistical thinking to…

A three-stage model for algebraic word problem solving is developed in which students' understanding of the intrinsic logical structure of word problems is strengthened by connecting real-life problems and formal mathematics. (Contains 3 figure.)

This article describes a series of mathematics activities based on the book "A Grain of Rice," which are designed to help students understand powers of 2. Ideas for activities in other disciplines are also provided. (Contains 3 tables.)

"Lettuce Learn Math" is an interdisciplinary program that has effectively linked a small-scale agricultural production system to a sixth-grade mathematics and science curriculum. The mathematical concepts and skills, including measurement and geometry, taught in this project met and often exceeded the standards set by New York state for…

One set of ideas at the core of the National Science Education Standards (NSES) Science and Technology Standards is that of engaging middle school students in activities that help them develop their understandings of technological design. More precisely, students should be able to identify appropriate problems for technological design, design a…

In early algebra students often struggle with equation solving. Modeled on Streefland's studies of students' own productions a prototype pre-algebra learning strand was designed which takes students' informal (arithmetical) strategies as a starting point for solving equations. In order to make available the skills and tools needed for manipulating…

The Minneapolis Public School System has been implementing an intervention-based approach to special education placement. This Problem-Solving Model (PSM) was designed to de-emphasize the role of norm-referenced tests and to provide early instructional interventions. The basic outline of the PSM is to define the problem, determine the best…

The present study investigated the effects of question prompts in scaffolding novice instructional designers solving ill-structured, instructional design problems in a Web-based learning environment. The effects of question prompts were studied under different prompting conditions (Question-Elaboration vs. Question-Guidance), taking into…

In an extension of research examining student-centered pedagogy, the present case study examined how at-risk students used Alien Rescue, a problem-based learning (PBL) software program for middle school science. Twenty-nine participants were observed and interviewed over the twelve class days in which they were engaged in Alien Rescue. Students'…

The curriculum is packed with so much content that teachers resort to telling students what they know and students simply commit facts to memory. The packed curriculum leaves little time for students to acquire a deep understanding of the subject or to develop life-long skills such as critical thinking, problem solving, and communication. However,…

The experimental results of a collaborative problem solving and program development model that takes into consideration the cognitive and social activities that occur during software development is presented in this paper. This collaborative model is based on the Dual Common Model that focuses on individual cognitive aspects of problem solving and…

The authors report 4 experiments exploring long-term analogical transfer from problem solutions in folk tales participants heard during childhood, many years before encountering the target problems. Substantial culture-specific analogical transfer was found when American and Chinese participants' performance was compared on isomorphs of problems…

The main purpose of this study was to determine if online computer-based math problem-solving and paper-and-pencil math problem-solving tests are suitable tools for measuring math problem-solving, by comparing student performance on traditional style paper-based tests to performance on the same tests online. Data collection for this study was…

Are children learning when they are "messing about" in sand or water? Is it science? In a workshop presented at the ASE Annual Meeting in Birmingham (January 2003), "Messy science: planning for learning in the foundation stage," delegates examined the nature of an early years curriculum through first-hand experience of a…