Results in Mathematics Education, from different theoretical perspectives, highlight students' difficulties with graphs, both in interpreting given ones and in producing their own graphs. In this paper, we take an affective lens to understand both a student's relationship with mathematical graphs and a teacher's role when a task with a graph is…

Conventional coordinate systems are often considered representational tools for reasoning about mathematical concepts. However, researchers have shown that students experience persistent difficulties as they engage in graphing activity. Using examples from research and textbooks, we present a framework based on a conceptual analysis of the use of…

This study investigated whether students who are studying calculus were able to determine the graph of the derivative of the functions related to the problems they come across in their daily lives or in applied science. A test was given to science and engineering students at a Turkish university. At the end of this study, it was determined that…

Sources of observed differences in difficulty between items in graph comprehension performance were studied using 132 items from the Psychometric Entrance Test, an Israeli college entrance examination. Results indicate that item difficulty can be predicted successfully on the basis of item characteristics and task demands. Implications for graph…

The characteristics of unidimensional ability estimates obtained from data generated using multidimensional compensatory models were compared with estimates from non-compensatory item response theory (IRT) models. The least squares matching procedures used represent a good method of matching the two multidimensional IRT models. (TJH)

Teachers of physiology at all postsecondary levels were asked to participate in a survey about the possible sources of students' difficulty in learning physiology. Sixty-three physiology teachers responded to the 18-question survey; 35 of the respondents also responded to a request for written comments about this issue prior to taking the survey.…

A graphical-decision rule for studying an item's behavior and admitting items onto a test form is proposed. The tool--the isthmus of acceptance--ameliorates some parameter stability problems common to binary item response theory models by using a functional representation of item performance, and it is tuned to match current standards. (TJH)

In order to estimate the classical coefficient of test reliability, parallel measurements are needed. H. Gulliksen's matched random subtests method, which is a graphical method for splitting a test into parallel test halves, has practical relevance because it maximizes the alpha coefficient as a lower bound of the classical test reliability…

Effects of the following variables on performance of computerized adaptive testing (CAT) procedures for the partial credit model (PCM) were studied: (1) stopping rule for terminating CAT; (2) item pool size; and (3) distribution of item difficulties. Implications of findings for CAT systems based on the PCM are discussed. (SLD)

Effects of dimensionality on ability estimation of an adaptive test were examined using generated data in Bayesian computerized adaptive testing (CAT) simulations. Generally, increasing interdimensional difficulty association produced a slight decrease in test length and an increase in accuracy of ability estimation as assessed by root mean square…