This study investigates prospective elementary and secondary school mathematics teachers' ways of reasoning about differentiability at a point and corner points while working on a mathematical modelling activity. Adopting a multiple-case study design, the participants of the study were 68 prospective elementary school mathematics teachers enrolled…

This paper presents an innovative interactive scenario framework called ISLEC for the learning of electrical circuits by high school students or beginners of higher education. This framework aims to develop investigative, critical, creative, and decision-making skills by trainees, as well as aiming to tackle and resolve misunderstandings and…

Focuses on the overgeneralization of the linear model--the so-called illusion of linearity. Reports on two follow-up studies investigating the effects of problem presentation and formulation on the strength of the illusion of linearity. Shows that including visual scaffolds and making comparison problems has a positive effect on students' ability…

The current national focus on students' thinking is too narrow, limiting the kinds of reasoning activities they can experience. A literary orientation allows students to explore a horizon of possibilities concerned with emotions, relationships, motives, and reactions. Students generalize beyond the particular situation, using their understandings…

Describes how discrepant events in science can be used to stimulate and motivate the use of thinking skills in learning scientific concepts. (ZWH)

High school chemistry students' (n=183) applied and theoretical knowledge of dissolution, diffusion, effusion, and states of matter were compared. Study found that students' formal reasoning ability and their preexisting knowledge are associated with their conceptions and use of particulate theory. A significant difference between applied and…

Reports on the effects of a problem-solving-based instructional model on earth science students' (n=172) achievement and alternative frameworks. Results revealed that the problem-solving-based instructional model significantly improved the achievement of students, especially at the application level. Students in the treatment group experienced…

Presents an account of one teacher's path to realizing the depth of intuitive beliefs about science. Organizes chemistry misconceptions into eight patterns of reasoning that include thinking rules and alternative conceptions. (DDR)

The problem of poor learners is due less to missing experiences than to the nature of their learning experiences. Giving these students more hands-on "exposure" is not enough. Instead, teachers can develop critical-thinking skills in students by changing the nature of teacher-student interaction. Focusing on a "main idea" and…

Investigates reasoning strategies students use in solving stoichiometric problems and explores the relation between these strategies and alternative conceptions, prior knowledge, and cognitive variables. Results show how stoichiometric relations produce conflicting situations for students leading to conceptual misunderstanding of certain concepts.…

Using a paper-and-pencil test consisting of multiple-choice situational questions which also require reasoning for the choices made, common misconceptions in light were identified. It was found that most of the students understand the basic properties of light at a knowledge level but had difficulty applying these concepts in novel situations.…

Examines both theoretical and practical perspectives on conceptual exchange--exchanging a student's entrenched view on a scientific topic for one based on actual scientific perspective. Endorses the conceptual-mediation model based on interference theory for changing an established view. (AIM)

The errors and strategies made by students who consistently use the incorrect-addition strategy on "hard" ratio tasks were investigated. The characteristics of these "adders," such as awareness of noninteger multiples, the use of fractions and decimals, awareness of both within and between ratios, and distinguishing nonratio…

Investigates students' conceptions and misconceptions relating to the construction of graphs. Qualitative analysis of students' responses identified three main alternative conceptions. Quantitative analyses of the data indicated that overall students did not enter the learning situation as a tabula rasa. Discusses the theoretical and practical…

Reports the existence of patterns of reasoning that are common to students' conceptions in different areas of mechanics. Finds that the common frameworks between different ideas have a generality level that lies between Piaget's stage theory and the approach of alternative conceptions. Contains 30 references. (Author/WRM)