The aim of the paper is to compare and evaluate the probability-related misconceptions of pupils at different education levels. A cross-sectional/age study was thus conducted with 540 pupils in 5th-8th grades. An instrument, comprising six questions on the concepts of compound events, probability of an event and probability comparisons, was used.…

This mixed methods study was designed to compare the effect of using an inquiry teaching methodology and a more traditional teaching methodology on the learning gains of students who were taught a five-week conceptual change unit on density. Seventh graders (N = 479) were assigned to five teachers who taught the same unit on density using either a…

The teaching of mathematics involves problem solving skills which prove to be difficult on the part of the pupils due to misrepresentation of the word problems. Oftentimes, pupils tend to represent the phrase "more than" as addition and the word difference as "- ". This paper aims to address the problem solving skills of grade…

Measurement invariance is a common consideration in the evaluation of the validity and fairness of test scores when the tested population contains distinct groups of examinees, such as examinees receiving different forms of a translated test. Measurement invariance in polytomous items has traditionally been evaluated at the item-level,…

Authentic assessment "refers to the systematic collection of information about the naturally occurring behaviors of young children and families in their daily routines" (Neisworth & Bagnato, 2004, p. 204). In formative assessments, the assessment information informs instruction. Formative assessments are given periodically and should be used to…

This study aims to specify to what extent students understand topology during the lesson and to determine possible misconceptions. 14 teacher trainees registered at Secondary School Mathematics education department were observed in the topology lessons throughout a semester and data collected at the first topology lesson is presented here.…

This paper investigates the relations of students' spatial and object visualisation with their analytic, creative and practical abilities in three-dimensional geometry. Fifty-three 11-year-olds were tested using a Greek modified version of the Object-Spatial Imagery Questionnaire (OSIQ) (Blajenkova, Kozhevnikov, & Motes, 2006) and two…

In July 2009, an e-mail survey was sent to various UK universities to gain information regarding current practices concerning mathematics diagnostic testing, and to provide an update from the review "Diagnostic Testing for Mathematics" published by the LTSN MathsTEAM Project in 2003. A total of 38 university departments were contacted…

The aim of the study was to exemplify pupils' mastering of mathematical literacy. The study is a comparative multiple case study. In pupils' talk of mathematical activities aspects of mathematical literacy are discerned. A distinction is made between pupils: (1) pupils in mathematical difficulties, (2) pupils with another mother tongue than…

In this study, differential item functioning (DIF) methods utilizing 14 different matching variables were applied to assess DIF in the constructed-response (CR) items from 6 forms of 3 mixed-format tests. Results suggested that the methods might produce distinct patterns of DIF results for different tests and testing programs, in that the DIF…

Stereotype threat has been proposed as 1 potential explanation for the gender difference in standardized mathematics test performance among high-performing students. At present, it is not entirely clear how susceptibility to stereotype threat develops, as empirical evidence for stereotype threat effects across the school years is inconsistent. In…

Experts agree that computers and computing play an important role in education. Since the 1980s there has been a debate about gender as it relates to computers and education. However, results regarding gender differences concerning computer use in education are not consistent. In particular there is little work done in China on this issue.…

In this study, several middle school factors of students from two consecutive graduating classes were analyzed to determine what relation they had to college readiness, as measured by ACT subtest scores. The academic factors included: 8th grade EXPLORE composite score, 7th grade spring reading and math MAP scores, highest math course completed in…

This study compared student academic achievement in two college readiness programs, Advanced Placement (AP) and International Baccalaureate (IB) and attempted to determine how well program participation predict student performance compared to variables such as SES, parent education level, GPA, gender, and SAT II scores. Finally, the research…

As expectations for improvements in public K-12 education continue, principals and teachers need to collaborate for continuous school improvement. Innovative change is needed to meet the needs of students. Michael Fullan's change theory (1993) identified many inhibitors to change, such as the human tendency to avoid change due to vulnerability and…