The purpose of this paper is to highlight issues related to students' personal inferences that arise when students verbally explain their justification for calculus statements. We conducted clinical interviews with three undergraduate students who had taken first-semester calculus but had not yet been exposed to formal proof writing activities…

Curiosity is one of the 21st century skills and is especially paramount in the digital age. However, curiosity is multifaceted and can be expressed in many ways. Furthermore, assessment of curiosity is often based on self-report or subjective observations. We present work in progress for the development of a digital quantitative assessment game…

This study sets for itself the task of constructing a learning trajectory for the fundamental theorem of calculus (FTC) that takes into account the interaction with an educational digital tool. Students were asked to explain the connections between interactive and multiple-linked representations in an educational digital tool, and to conjecture…

In this paper, we investigate mathematics majors' perceptions of the admissibility of inferences based on graphical reasoning for calculus proofs. The main findings from our study is that the majority of mathematics majors did not think that graphical perceptual inferences (i.e., inferences based on the appearance of the graph) were permissible in…

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…

Graphs in physics are central to the analysis of phenomena and to learning about a system's behavior. The ways students handle graphs are frequently researched. Students' misconceptions are highlighted, and methods of improvement suggested. While kinematics graphs are to represent a real motion, they are also algebraic entities that must satisfy…

The purpose of this paper is to assess the validity of multiple-choice questions in measuring fourth grade students' ability to interpret graphs related to physical science topics such as motion and temperature. We administered a test including 6 multiple-choice questions to 28 fourth grade students. Students were asked to explain their thinking…

The purpose of this study is to investigate the effect of using the Geometer's Sketchpad software in the teaching and learning of graph functions among Form Six (Grade 12) students in a Malaysian secondary school. This study utilized a quasi-experimental design using intact group of students from two classes in an urban secondary school. Two…

One implication of attitude self-ratings, that scales may become recalibrated transiently, was investigated conservatively using hypothesized shifts of data from 368 college students rating the desirability of taking senior comprehensive examinations. Results support the validity and reliability of simple graphic rating scales as measures of…

In 1991 the Center for Reading and Language Studies at Indiana University (Bloomington) assembled educational experts to investigate the validity of performance-based assessments for determining the achievement of high school students in reading, writing, and mathematics. The Indiana Performance Assessments that materialized from this project were…

This article's goals are to validate the Computer and Information Technology Attitude Inventory (Weinsier and Leutner, 1988), a nontraditional approach to attitude measurement; and to report on a study designed to search for intercultural differences or cross-cultural consistency of attitudes toward computers and information technology. (46…

This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) The Affective Views of Primary School Children (Peter Grootenboer); (2) Theoretical Model of Analysis of Rate Problems in Algebra (Jose Guzman, Nadine Bednarz and Fernando Hitt); (3) Locating Fractions on…