A methodology is described that teaches science process by combining informal logic and a heuristic for rating factual reliability. This system facilitates student hypothesis formation, testing, and evaluation of results. After problem solving with this scheme, students are asked to examine and evaluate arguments for the underlying principles of…

This article provides a review of research in cognitive strategy instruction for improving mathematical problem solving for students with learning disabilities (LD). The particular focus is on one of the salient components of this instructional approach--self-regulation. Seven studies utilizing this approach for teaching problem solving to…

One way to merge imagination with problem-posing and problem-solving in the English classroom is by asking students to respond to "cultural and political vignettes" (CPVs). CPVs are cultural and political situations that are presented to students so that they can practice the creative and essential decision-making skills that they will need to use…

The purpose of this study was to investigate how modeling-based instruction combined with an interactive-engagement teaching approach promotes students' problem solving abilities. I focused on students in a calculus-based introductory physics course, based on the matter and interactions curriculum of Chabay & Sherwood (2002) at a large state…

Understanding of ratio and proportion is critical to the development of higher level mathematical skills. Following Carpenter, Gomez, et al.'s (1999) proposal of a four-level trajectory in the development of proportional reasoning, a 12-week investigation was undertaken of the developmental trajectory of proportional reasoning of girls in two…

The game-based nature of teaching games for understanding means that teachers must be effective observers of game play in order to encourage thinking processes during game play, diagnose the performance problems of participants, and identify solutions. This article briefly reviews the teaching games for understanding (TGFU) approach and describes…

In this article, the author shares her experience in setting up a unique imitative play through which children try on roles and imitate "grown-up" activities, thereby developing feelings of confidence and competence. As children play, they gain communication and negotiation skills; if conflicts arise, they engage in creative problem solving.…

This article describes the story of the bridge. The story illustrates the essence of outdoor experiences for children from the perspective of the classroom teacher. The children's ideas, images, and words are extremely meaningful, demonstrating that children are very capable at even young ages when supported by adults. Teachers support the theory…

We explore how curvature and torsion determine the shape of a curve via the Frenet-Serret formulas. The connection is made explicit using the existence of solutions to ordinary differential equations. We use a paperclip as a concrete, visual example and generate its graph in 3-space using a CAS. We also show how certain physical deformations to…

There is plenty of evidence in many fields of knowledge that storytelling is a bona fide human activity for problem-solving. We believe that a storytelling model for problem-solving can be constructed to organize this discourse. To that end, we carried out a qualitative study using the Grounded Theory tradition to build such a model always mindful…

The Task Types and Mathematics Learning project is investigating the opportunities and constraints that teachers experience when using particular types of mathematics tasks. Some assumptions underlying this aspect of the project are: (1) that teachers seeking a balanced curriculum choose to use a mix of types of tasks; (2) open-ended questions…

Purpose: The purpose of this paper is to examine dilemmas encountered by kindergarten head teachers with the further aim of developing their capability to recognise and resolve "leadership dilemmas". Design/methodology/approach: Action research was used to conduct a three-phase study involving 16 kindergarten head teachers and six system…

Kalchman describes and discusses preservice teachers' changing views of what it means to know and do mathematics both inside and outside the classroom walls. The context for change is a weekly assignment for methods students to describe and solve mathematical problems in situations that they confront in day-to-day life. The assignment supports…

The study reported here is the third in a series of research articles (Harkness, S. S., D'Ambrosio, B., & Morrone, A. S., in "Educational Studies in Mathematics" 65:235-254, 2007; Morrone, A. S., Harkness, S. S., D'Ambrosio, B., & Caulfield, R. in "Educational Studies in Mathematics" 56:19-38, 2004) about the teaching practices of the same…

The authors examined the implementation of assistive technology in a community literacy centre's writing program for adult learners. Quantitative and qualitative analyses indicated that (a) software and instructional methods for writing must be selected according to the needs of and in conjunction with adult learners, (b) learners needed…