Concept image is proposed by Vinner and Tall (1981) to differentiate the elements and relationships that a learner constructs about a concept from formal mathematical definition for the same concept. The answers of 119 University students to an examination question are analysed to establish the concept images they have for circle and ellipse. The…

This study examines the relationship between mathematics test anxiety and numerical anxiety on students' mathematics achievement. 140 pre-university students who studied at one of the institutes of higher learning were being investigated. Gender issue pertaining to mathematics anxieties was being addressed besides investigating the magnitude of…

The creation of an environment conducive to learning is vitally important in the academic achievement of learners. Such an environment extends beyond the classroom and school to include the home. It is from these environments that learners draw resources, both tangible and intangible, that impact on their educational experience. While current…

Existing research into students' preferences for assessment methods has been developed from a restricted sample: in particular, the voice of students in the 'hard-pure sciences' has rarely been heard. We conducted a mixed method study to explore mathematics students' preferences of assessment methods. In contrast to the message from the general…

Over the past two decades, mathematics education reformers have increasingly called for new approaches to assessment. This call urges mathematics teachers to merge their assessment with pedagogy, to employ assessments that engage students in the process of "doing mathematics," and to exploit assessment to support learning. This paper…

Psychologists believe that a student's motivation is influenced by a number of values/beliefs, interests and attitudes that can be positive or negative in their effects. Highly positively motivated students would believe that the task is of value (value beliefs), also with high expectations that they would achieve success (expectancy and…

Austin ISD is one of 21 US urban school districts participating in the National Assessment of Education Progress (NAEP) Trial Urban District Assessment (TUDA). AISD students consistently perform well on the 4th and 8th grade reading and math assessments. This research brief summarizes 2015 results. A separate supplemental report also was…

Presently, a plethora of instruments designed to assess a mathematical skill, disposition, or competence prevail in South Africa. Yet few of them adhere to the basic requirements of the unidimensionality and invariance of measures. The Marko-D is a mathematical instrument designed to test learners between the ages of 4 and 8. The instrument, thus…

Concern has been expressed that many commencing undergraduate mathematics students have mastered skills without conceptual understanding. A pilot study carried out at a leading Australian university indicates that a significant number of students, with high tertiary entrance ranks, have very limited understanding of the concept of function,…

The National Senior Certificate (NSC) examinations were written for the second time in 2009 amid much criticism. In this study, scripts of candidates who wrote the NSC Mathematics examinations (papers 1 and 2) in 2009 were used as data to analyse the marks scored and then polytomous Rasch analysis was conducted for all the sub-questions to…

The standard error of equating quantifies the variability in the estimation of an equating function. Because common items for deriving equated scores are treated as fixed, the only source of variability typically considered arises from the estimation of common-item parameters from responses of samples of examinees. Use of alternative, equally…

In this study, the probability unit ability levels of the eleventh grade Turkish students were classified through cluster analysis. The study was carried out in a high school located in Trabzon, Turkey during the fall semester of the 2011-2012 academic years. A total of 84 eleventh grade students participated. Students were taught about…

In order to determine which test is more appropriate to administer to elementary grade students, it is important to consider the purpose of the test in conjunction with the ability and grade level of the students. Northwest Evaluation Association™ (NWEA™) designed Measures of Academic Progress® (MAP®) tests mindful of the amount of learning that…

In this study we set out to investigate the errors made by students in logarithms. A test with 16 items was administered to 89 Secondary three students (Year 9). The errors made by the students were categorized using four categories from a framework by Movshovitz-Hadar, Zaslavsky, and Inbar (1987). It was found that students in the top third were…

To sort pupils at the end of primary school, some early-tracking systems apply a mechanism that unwittingly divides classes into two groups: students preparing for exams to enter better schools and everyone else, who decide not to compete for selective schools. Utilizing TIMSS data and a follow-up study in the Czech Republic, we show that this…