Confusion persists concerning the roles played by scientific hypotheses and predictions in doing science. This confusion extends to the nature of scientific and statistical hypothesis testing. The present paper utilizes the "If/and/then/Therefore" pattern of hypothetico-deductive (HD) reasoning to explicate the nature of both scientific and…

Aligned with recent changes to syllabuses in Australia is an assessment regime requiring teachers to identify what their students "know" and "can do" in terms of the quality of understanding demonstrated. This paper describes the experiences of 25 secondary science and mathematics teachers in rural schools in New South Wales as they explore the…

This study examines 8th grade students' coordination of quantitative units arising from word problems that can be solved via a set of equations that are reducible to a single equation with a single unknown. Along with Unit-Coordination, Quantitative Unit Conservation also emerges as a necessary construct in dealing with such problems. We base our…

This article offers an overview of mathematics education in Spain, analyzing the production of PhD theses over the last 30 years. This period has been divided into four cycles that describe the evolution of Spanish research in the field of mathematics education, together with changes in university and social politics. This paper also includes a…

The Biomind program is a new open inquiry program for Israeli biology high school students. The Biomind program is facilitated by diverse activities of asynchronous on-line forums for teachers and students. This research aims to analyse the discussions that occurred over a period of three years in these forums, in order to obtain a picture of the…

This study is a cross-cultural comparison between the ideas of 49 Thai Grade 9 students and the 30 New Zealand Grade 9 students (approximately 15 years old), about energy related to technological and societal issues. Students' ideas were explored using the Questionnaire for exploring Students' ideas about Energy, Technological, and Societal issues…

In order to investigate the performance of number sense and its relationships with mathematics achievement of Taiwanese students who had just completed the 5th-grade mathematics curriculum, a computerized number sense scale has been developed. This number sense scale includes four factors which are recognizing relative number size, using multiple…

The present study investigates whether Chinese high-school students are self-regulated learners. A social-cognitive model that distinguishes environmental, motivational, and cognitive components of this active approach to learning is described. This provides an appropriate framework for investigating this complex issue with eighth and tenth…

We describe and analyze a situation involving symbolic representation and graphical visualization of the solution of a system of two linear differential equations, using a computer algebra system. Symbolic solution and graphical representation complement each other. Graphical representation helps to understand the behavior of the symbolic…

This study investigates how the context of mathematical tasks affects the performance of young children (ages 5-11). Subjects were 523 children from age 5 to 11. Three contexts of mathematical tasks (stereotypically boys' contexts, stereotypically girls' contexts and neutral contexts) are examined in three age groups (young, medium, and old).…

The purpose of this study was to understand how an 8th grade science class used a structured problem-based learning (PBL) strategy to study volcanoes and to discuss some of the issues that science teachers might encounter when designing and implementing the PBL strategy. This study took place at Collins Middle School, which is located in a…

This paper considers the development of school students' ability to define three terms that are fundamental to statistical literacy: sample, random, and variation. A total of 738 students in grades 3, 5, 7, and 9 were asked in a survey to define and give an example for the word "sample." Of these, 379 students in grades 7 and 9 were also asked…

The Force Concept Inventory (FCI) is a multiple choice test designed to monitor students' understanding of the conceptual domain of force and related kinematics (Hestenes et al. "Physics Teacher" 30:141-158 1992; Halloun et al., 1995, Online at http://modeling.asu.edu/R&E/Research.html). It has gained wide popularity among both researchers and…

The theoretical framework "student ownership of learning" is developed both theoretically and with qualitative research. The metaphor "ownership" is related to the process towards meaning making and understanding and is seen as relevant especially to improve physics instruction. The dimension "group ownership of learning" refers to the groups'…

The purpose of this research is to construct a conceptual framework for use in capturing students' unstable perception regarding the establishment of the universality of propositions through experimentation/measurement in school geometry. As a conceptual framework, this research uses a quadrangular-pyramid model comprised of five representative…