Progressing from additive to multiplicative thinking is a key outcome of school mathematics, making ratios an essential topic of study in junior secondary. In this study, 15 Australian Year 8 students were administered a ratio test followed by semi-structured interviews to explore their conceptions of ratio prior to formal instruction. In this…

This position paper examines the phenomenon of the McNamara Fallacy to analyse flawed conceptions of "success" in mathematics learning, normalised assessment structures and their implications for mathematics education. The established presence of the McNamara Fallacy and the ramifications of this statistical fallacy provide a foundation…

Problem-solving is one of the 21st-century skills. However, students still have difficulty solving sequences and series word problems. The purpose of this research is to analyze students' errors in solving sequences and series word problems based on problem-solving steps of Polya. The research method is descriptive qualitative. The research…

The science learning cycle developed by Robert Karplus and others in the 1960's has been a useful model for many science teachers and researchers. This model stresses the use of structured inquiry to organize knowledge acquisition and problem solving. Recent research in the cognitive science tradition, however, has shown that learning and problem…

The main purpose of the study was to investigate the effectiveness of conceptual change text (CCT) oriented instruction over traditionally designed instruction on students' understanding of electrochemical (galvanic and electrolytic) cell concepts. The subjects of the study consisted of 64 students from the two classes of a high school in Turkey.…

The nature of qualitative understanding and associated learning processes in the context of a computer simulation called the "Envisioning Machine" (EM) are investigated. The questions focused on in this paper include the following: What sorts of knowledge do students' construct? What role does prior knowledge play in the construction of…

Research shows that one of the most important prerequisites for student success is for teachers to understand and respect individuals from different cultures, and to understand the communities from which they come (Ilmer, Synder, Erbaugh & Kurtz, 1997). Thus, if we want students to succeed, what they bring into the science classroom in terms of…

Certain misunderstandings in science, mathematics, and computer programing reflect analogous underlying difficulties. These misunderstandings are examined through four knowledge levels: (1) content; (2) problem-solving; (3) epistemic; and (4) inquiry. Analysis of several examples shows that misunderstandings have causes at multiple levels, and…

The self-reported errors of college and university presidents are examined and analyzed from the perspective of organizational learning. Very little is known about how presidents take on their roles, identify and assume their responsibilities, and learn about their workplaces or the difficulties they face and the mistakes they make in doing so.…

This paper describes the development of a diagnostic test to assess teachers' understanding of the learning cycle and highlights common misconceptions identified through the administration of the diagnostic instrument. The Learning Cycle Test was administered to 28 undergraduate students enrolled in elementary science methods who had received…

A longitudinal case study focused on the process of conceptual change in science of a young girl. The subject, the researcher's granddaughter, was 6 years and 6 months old and in first grade when the first of 19 hour-long sessions began. Sessions were spread over a two-year period. A concurrent case study was being conducted with the researcher's…

For the past eight years postgraduate science teachers in training (approximately 50 each year) have been given Assessment of Performance Unit (APU) questions under strict test conditions as part of an initial learning experience in an education course. The APU questions were originally devised to explore the range of understanding of 15-year-old…

Several studies have shown the difficulties students encounter in making sense of situations involving rate of change. This study concerns how students discover errors and refine their knowledge when working with rate of change. The part of the study reported here concerns the responses of four precalculus students to a task which asked them to…

Recent research in cognitive science and science education suggests that science-naive individuals have an understanding of the natural world based on their interpretation of everyday experience. This can make the process of conceptual change difficult. This paper presents ideas related to the acquisition of knowledge in astronomy. A theoretical…

An understanding of the concepts of atoms and molecules is fundamental to the learning of chemistry. Any misconceptions and alternative conceptions related to these concepts which students harbor will impede much further learning. This paper identifies misconceptions related to the fundamental characteristics of atoms and molecules which Grade 12…