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…

This study examined the effects of students' characteristics (gender, age, and first-language spoken at home) on their perceptions about problem-based learning (PBL). The study revealed that students from the fifth, sixth and seventh grades perceived PBL in a positive way but there were significant differences between the grades. The resources…

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…

In Singapore, 6-12 year-old students are taught to solve algebra word problems with a mix of arithmetic and pre-algebraic strategies; 13-17 year-olds are typically encouraged to replace these strategies with letter-symbolic algebra. We examined whether algebra problem-solving proficiency amongst beginning learners of letter-symbolic algebra is…

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…

This research examines students' ability to integrate algebraic variables with arithmetic operations and symbols as a result of the type of instruction they received, and places their work on scales that illustrate its location on the continuum from arithmetic to algebraic reasoning. It presents data from pre- and post-instruction clinical…

The study designed to contribute to existing research on Problem-Based Learning (PBL) chose a focus group comprising 16 MSc. Petroleum Engineering students (six females). Using PBL as the method of instruction, students examined a real-life petroleum engineering problem that highlighted numerous areas of their existing curriculum. They worked in…

Children in the United States tend to experience a decline in positive self-concept during their adolescent years. This decline often begins around age 12 for girls and around age 14 for boys. For some, the decline can become severe in early adolescence before generally recovering in the mid-teen years. Having a negative self-concept during…

Energy is a critical concept that is used in analyzing physical phenomena and is often an essential starting point in physics problem-solving. It is a global concept that appears throughout the physics curriculum in mechanics, thermodynamics, electromagnetism, and modern physics. Energy is also at the heart of descriptions of processes in biology,…

The purpose of this study was to identify, describe and interpret group processes occurring in tutorials in problem-based learning. Another aim was to investigate if a combination of Steiner's (Steiner, I. D. (1972). "Group process and productivity". New York: Academic Press.) theory of group work and Bion's (Bion, W. R. (1961). "Experiences in…