This study describes students' learning obstacles in solving early algebra problems requiring functional thinking ability. To reach this aim, qualitative research was conducted in this study. Participants of this study were 39 ninth graders and a mathematics teacher at one of the lower secondary schools in Bandung, Indonesia. The data were…

We developed a Quantum Mechanics Conceptual Understanding Survey (QMCUS) in this study. The survey was conducted using a quantitative methodology. A multiple-choice survey of 35 questions was administered to 338 undergraduate students. Three experienced quantum mechanics instructors examined the validity of the survey. The reliability of our…

Physics and mathematics are interrelated as part of the science, technology, engineering, and mathematics (STEM) disciplines. The learning of science is supported by mathematical skills and knowledge. The aim of this paper is to determine the cognitive obstacles of in-service undergraduate physics student-teachers' understanding of the concept of…

Representational competence is essential for the acquisition of conceptual understanding in physics. It enables the interpretation of diagrams, graphs, and mathematical equations, and relating these to one another as well as to observations and experimental outcomes. In this study, we present the initial validation of a newly developed…

This paper describes a teaching method that allows for the fast and early detection of students' conceptions, misconceptions and their development. The empirical study of two examples where the method was applied is reported. The prerequisites for the efficient use of the method are discussed and results of the pilot study of its effectiveness are…

Discussion of prior learning and acquired knowledge focuses on a study at Ben Gurion University (Israel) that examined the occurrence and nature of learning in an earth science course and its relations with prior knowledge from a prerequisite course. Highlights include concept definitions; cognitive mapping; course sequencing; and course design.…