Proving is a process that has important roles in terms of learning and teaching in almost all the areas of mathematics. Because the process of proof constructions an extensive process that includes skills as mathematical thinking, reasoning and making connections. Reasoning is one of the most important components of this process. However, most…

The purpose of this study was to investigate what common errors and misconceptions about fractions exist among Saudi Arabian college students. Moreover, the study aimed at investigating the possible explanations for the existence of such misconceptions among students. A researcher developed mathematical test aimed at identifying common errors…

The present study uses the intuitive rules theory as a framework to examine whether some of the difficulties in dealing with errors and uncertainties observed among students in the university physics laboratory can stem from their use of intuitive rules. The study also examines the relationship between the use of intuitive rules and laboratory…

The purpose of this article is to describe the process of a proof construction. It is more specific on the failure of the process. Piaget's frameworks, assimilation and accommodation, were used to analyze it. Method of this research was qualitative method. Data were collected by asking five students working on problems of proof using think aloud…

The purposes of the present study were to examine the language errors in a writing of English major students in a Thai university and to explore the sources of the errors. This study focused mainly on sentences because the researcher found that errors in Thai EFL students' sentence construction may lead to miscommunication. 104 pieces of writing…

The aim of this study was to examine the mistakes made by freshman students of science teaching during the process of proving and the reasons for these mistakes. To this aim, the study, which was conducted via the case study method, was performed with 52 freshman students who were studying at the department of science teaching in a state…

This study was a classroom-based action research. In this study, constructive teaching and learning activities were used to help learners improve on their grammar and usage with a focus on how to help them internalize subject verb agreement rules. The purpose of the research was to assist learners to improve upon their performance in grammar and…

Proving that a given set is indeed a subgroup, one needs to show that it is non-empty, and closed under operation and inverses. This study focuses on the first condition, analysing students' responses to this task. Results suggest that there are three distinct problematic responses: the total absence of proving this condition, the problematic…

The study of teaching translation has always been influenced by the theory of foreign language teaching, regardless of the theoretical or practical approaches the researchers used. In the classroom, students are frequently bored with translating grammar because they are seldom taught how grammar works. In view of this teaching gap, this study…

Units of measure are critical in many scientific fields. While instructors often note that students struggle with units, little research has been conducted about the nature and extent of these difficulties or why they exist. We investigated calculus students' unit use in area and volume computations. Seventy-three percent of students gave…

This study is aimed at examining how students of selected Teacher Training Colleges handle one important aspect of sentence structure, i.e. "subordination". Data were collected from written scripts, and tests responded to by 150 participants from three selected colleges. These were analyzed by identifying both correct and incorrect uses…

Investigative interviewers seek to obtain complete and accurate accounts of events from witnesses. Two studies examined the influence of instructions about the use of don't know (DK) responses and of clarifying the meanings of DK responses on the quality of responding to questioning. Participants watched a video, and after a delay (Study 1, 30…

Prospective teachers (PTs), enrolled in a mathematics methods course, were asked to analyze children's mathematical thinking by viewing videotaped clinical interviews over the course of an entire semester. They were also asked to conduct two of their own interviews with children as the semester progressed. While the type of analysis varied, all of…

Central in the frameworks proposed to capture the knowledge needed for teaching mathematics is the assumption that teachers need more than pure subject-matter knowledge. Validation studies exploring this assumption by recruiting contrasting populations are relatively scarce. Drawing on a sample of 644 Greek-Cypriots preservice and inservice…

Many people are first exposed to code through web development, yet little is known about the barriers beginners face in these formative experiences. In this article, we describe a study of undergraduate students enrolled in an introductory web development course taken by both computing majors and general education students. Using data collected…