On the eastern edge of the Cascade Mountain range in Washington State, high school biology students have a unique opportunity to study the elusive cougar ("Felis concolor"), a large cat native to the area. Nestled in the Cascade foothills is the city of Cle Elum, a small rural community that is expected to soon experience considerable…

According to Kilpatrick (1987), in the mathematics classrooms problem posing can be applied as a "goal" or as a means of instruction. Using problem posing as a goal of instruction involves asking students to respond to a range of problem-posing prompts. The main goal of this article is a classification of mathematics questions created by Years 8…

Research into the teaching and learning of language and content in mainstream classrooms research tends to treat content as a fixed body of knowledge to be (re)constructed by learners. There is little research which seeks to understand how language and the curriculum are constructed and related in interaction by learners. In this paper, I report…

We apply a research-based analytical framework (MALA, for motivation, activity, learning and attribution) to better understand two student-centered college mathematics classes. We demonstrate ways in which the framework can be used to systematically identify problems with classroom management, to generate meaningful suggestions for improvement of…

Aspiring teachers are taught the elements of "pedagogy," originally the art and science of teaching children. Many aspects of teaching adults, however, are fundamentally different than those employed in teaching children. In order to acknowledge these differences, a new word--"andragogy"--gained currency in the late 20th century. This article…

This study makes use of an action research paradigm to improve primary students' analyzing skills. It was conducted at the San Esteban Elementary School, Region I, Philippines, during the 6-week off campus practice teaching of one of the researchers. Sources of data include a thinking skills checklist, a set of Curriculum Support Materials (CSM),…

This study involved an investigation of the relationship between the kinds of solution representations Chinese and U.S. students use and the sorts of pedagogical representations Chinese and U.S. teachers use during instruction. The findings suggest that the representations teachers use influence the representations their students use and, hence,…

Student success in solving physics problems is related to the representational format of the problem. We study student representational competence in two large-lecture algebra-based introductory university physics courses with approximately 600 participants total. We examined student performance on homework problems given in four different…

The tendency to generalize from specific experiences leading to new, more abstract concepts is a natural aspect of human thought. Generalizations are the end result of an inductive process that begins with the identification of similarities in seemingly disparate situations. It is the existence of such generalizations that makes it possible for us…

This article presents an example of a versatile multi-solution problem that can be used right across the primary years. The basic problem is: "Noah saw 16 legs go past him into the Ark. How many creatures did he see?" Any even number can be used, although, 2 legs allows only one answer and with 16 legs there are already 14 different…

Interactive Simulated Patient (ISP) is a computer-based simulation tool designed to provide medical students with the opportunity to practice their clinical problem solving skills. The ISP system allows students to perform most clinical decision-making procedures in a simulated environment, including history taking in natural language, many…

Since 1990, the January issue of "Teaching Pre K-8" has highlighted a school visit by the president of the National Council of Teachers of Mathematics. This article discusses Cathy Seeley's visit to a 6th grade classroom at the J. E. Pearce Middle School in Austin, Texas, where she participated in a math activity from the Connected…

This paper presents the results of a study on the influence of blackboard assistance and lecturer's initiative on student's achievements (measured via quality of individualised surfboards). In addition it looks at student attitudes to project related issues in technology education, derived from the pre-test and post-test experiments and surveys.…

One reason students give for attending a community college is that the mathematics requirements appear to be less rigorous. Many of the author's students have told her that they have chosen to seek an associate's degree first because they do not feel confident that they could successfully complete the mathematics requirement at a four-year…

Computer interfaced electrostatic charge sensors allow both qualitative and quantitative measurements of electrostatic charge but are quite sensitive to charges accumulating on modern synthetic materials. They need to be used with care so that students can correctly interpret their measurements. This paper describes the operation of the sensors,…