Many mathematics educators have found that prospective elementary school teachers' beliefs interfere with their learning of mathematics. Often teacher educators consider these beliefs to be wrong or naive and seek to challenge them so prospective teachers will reject them for more generative beliefs. Because of the resilience of prospective…

Problem-based approaches to learning have a long history of advocating experience-based education. Psychological research and theory suggests that by having students learn through the experience of solving problems, they can learn both content and thinking strategies. Problem-based learning (PBL) is an instructional method in which students learn…

To address the lack of connection between theory and practice, a number of recent reforms in teacher education have included inquiry-based programs and/or new types of education courses, which encourage student teachers to be reflective problem solvers and change agents. Based on a pilot course for student teachers, the authors, also aspiring…

Bioscience undergraduates, enrolled on a first-year microbiology module, participated in the introduction of peer-assisted learning (PAL) into the curriculum. The class of 122 students was divided into groups of six to ten, with one volunteer from each group assuming the role of group leader (peer tutor). Group leaders attended a compulsory…

Process-oriented learning designs are innovative learning activities that include a set of inter-related learning tasks and are generic (could be used across disciplines). An example includes a problem-solving process widely used in problem-based learning today. Most of the existing process-oriented learning designs are not documented, let alone…

The quality of knowledge underlying students' algebraic thinking is a major concern of K-12 mathematics teaching and reform-driven curriculum documents. In this paper the author examines this issue by characterizing a group of high school students' algebraic knowledge and patterns of use of that knowledge during the solution of selected problems.…

This study deals with the demand of a task. A theoretical background shows the difficulty of applying the idea of demand (as established in the literature) to the data. This has been confirmed in the preliminary study of this paper, which deals with the analysis of university examinations. Some factors that affect the demand of a task have been…

Three- to five-year-olds grow emotionally participating in meaningful and challenging physical, social, and problem-solving activities outdoors in an early childhood program on a farm. Caring for animals, planting, raking, shoveling, and engaging in meaningful indoor activities, under adult supervision, children learn to work collaboratively,…

This paper describes an active learning game that addresses different motivational styles including intrinsic, social, achievement, and instrumental. The game is loosely based on the CBS television series Survivor and involves breaking the class into student teams (tribes) and allowing them to compete at solving chemical engineering problems. In…

The purpose of this case study was to determine the effects of Reuven Feuerstein's ten Mediated Learning Strategies on both teacher practice and on students that were at risk of academic failure. Changes in both teacher practice and student learning were analyzed to determine changes during the use of the ten Mediated Learning Strategies: Meaning,…

In this study we created an environment for peer learning, where students teach students by making oral presentations in groups about solving mathematical problems and explaining the theoretical background in mathematics, during the first year of an undergraduate engineering programme at the Norrkoping campus of the Linkoping University. In order…

This article discusses the relationship between procedural and conceptual problem solving in a computer-supported collaborative learning (CSCL) environment designed within the field of science education. The contribution of this article, and our understanding of this phenomenon, is anchored in our socio-cultural interpretation, and that implies…

This book is the result of the collaborative effort of nine AYA National Board Certified Teachers in Mathematics. It represents a compilation of teacher-tested activities that prompt high school students to explore, conjecture and reflect on their mathematical adventures-- thus "experience mathematics." This edition will educate the teacher…

This book is the result of the collaborative effort of nine AYA National Board Certified Teachers in Mathematics. Experiencing Mathematics, is a compilation of teacher-tested activities that prompt high school students to explore, conjecture and reflect on their mathematical adventures--thus "experience mathematics." The relevant nature of the…

This study utilized elements of technology-rich ethnography to create a rich description of a multi-user virtual environment in a high school computer programming class. Of particular interest was the transition that took place in classroom culture from one characterized by a well-defined problem solving approach to one more indicative of open…