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…

An historical case is presented in which extra-mathematical certainties lead to invalid mathematics reasonings, and this is compared to a similar case that arose in the area of virtual education. A theoretical-methodological instrument is proposed for analysis of certainties. The article suggests the need for teachers to be aware that certainties…

This article reports on a study carried out with a group of 83 Mathematical Literacy teachers who were enrolled for an Advanced Certificate in Education programme at a South African university. The purpose of this study was to explore the Teachers' conceptions of the inflation rate. Data for the study was generated from the Teachers' responses to…

The paper's contribution is a methodology that integrates two educational technologies (GLO and LEGO robot) to teach Computer Science (CS) topics at the school level. We present the methodology as a framework of 5 components (pedagogical activities, technology driven processes, tools, knowledge transfer actors, and pedagogical outcomes) and…

Explores teaching methods to improve students' understanding of quantitative chemistry and their ability to solve related problems using the Multidimensional Analysis System (MAS). Investigates the relationships between MAS-classified chemistry problems and student achievement in solving these problems. Shows that improvement in student…

In this study we investigated the effects of two treatments supplementing students' (16 to 18 years of age and in pre-university education) regular course in economics. One treatment, labelled concept treatment, aimed at the solidification of the students' knowledge about economic concepts and their interrelations. The other treatment, labeled…

Scientific and everyday knowledge domains are compared so as to reveal the distinctive differences between their goals and the cognitive processes used to attain them. The main goals, working goals, learning difficulties, knowledge structure, concept specification, knowledge organization, role of school science, program-solving instruction, formal…

Poses a probability problem with counterintuitive results which ultimately leads to a lesson in how mathematicians work and think. (KHR)

Describes a study with the main objective of constructing models based on strategies students use to solve chemistry problems and to show that these models form sequences of progressive transitions termed "problemshifts" that increase the explanatory/heuristic power of the model. Results implies that the relationship between algorithmic…

Uses rectangular models for illustrating products of numbers to solve mixture word problems. (MKR)

Presents findings from a research project in two high school mathematics classrooms. Focuses on the ways in which teachers' classroom interventions promote the growth of students' mathematical understanding. Describes 'blocking' as one of the major interventions of mathematics teachers. Discusses implications of the intervention strategy for…

Describes a study in which concept maps drawn by high school students (n=12) were evaluated using quantitative measures. Results indicate that the concept maps are useful in assessing the understanding of relationships between the concepts required for multiple step problem solving in physics. Contains 12 references. (DDR)

This manual is part of a series of materials designed to reinforce essential concepts in physical science through interactive, language-sensitive, problem-solving exercises emphasizing cooperative learning. The manual is intended for limited-English-proficient (LEP) students in beginning physical science classes. The materials are for teams of two…

Investigates students' mental models of chemical equilibrium using dynamic science assessments. Reports that students at various levels have misconceptions about chemical equilibrium. Involves 10th grade students (n=30) in the study doing a series of hands-on chemical experiments. Focuses on the process of constructing mental models, dynamic…

Discusses potential pedagogical difficulties arising from using physics-related contexts in high-school mathematics problems. Suggests that such problems should not require any external knowledge of physics by the students; meanwhile, the problems should not contradict the physics knowledge that the students may already have. Presents several…