This research aimed to develop a valid and reliable test to be used to detect sixth grade students' misconceptions and errors regarding the subject of fractions. A misconception diagnostic test has been developed that includes the concept of fractions, different representations of fractions, ordering and comparing fractions, equivalence of…

Test developers are continually exploring the possibilities Computer Based Assessment (CBA) offers the Mathematics domain. This paper describes the trial of the Place Value Assessment Tool (PVAT) and its online equivalent, the PVAT-O. Both tests were administered using a counterbalanced research design to 253 Year 3-6 students across nine classes…

Teacher education in Indonesia aims to prepare pre-service teachers in becoming professional teaching personnel. Two important knowledge need to be acquired are content knowledge (CK) and pedagogical content knowledge (PCK). However, it is still a challenge to measure the pre-service mathematics teachers' CK and PCK. Therefore, the first aim of…

The capacity to recognise, represent, and reason about relationships between different quantities, that is, to think multiplicatively, has long been recognised as critical to success in school mathematics in the middle years and beyond. Building on recent research that found a strong link between multiplicative thinking and algebraic, geometrical,…

The research shared in this conference paper report illustrates how an iterative process to item development that involves expert review and cognitive lab interviews with students can be used to collect evidence of validity for assessment items. Analysis of students' reasoning was also used to expand a model for identifying conceptions and…

The present study extends recent advances coordinating research on cognition and psychometric modeling around fractions. Recent research has demonstrated that the Diagnosing Teachers' Multiplicative Reasoning Fractions survey provides information about distinct components necessary for reasoning in terms of quantities when solving fraction…

As we move into the 21st century, educationalists are exploring the myriad of possibilities associated with Computer Based Assessment (CBA). At first glance this mode of assessment seems to provide many exciting opportunities in the mathematics domain, yet one must question the validity of CBA and whether our school systems, students and teachers…

The least squares distance method (LSDM) was used in a cognitive diagnostic analysis of TIMSS (Trends in International Mathematics and Science Study) items administered to 4,498 8th-grade students from seven geographical regions of Turkey, extending analysis of attributes from content to process and skill attributes. Logit item positions were…

The likelihood-to-act (LtA) survey measures impulsive and analytic dispositions in solving mathematics problems. The current version has 16 impulsive and 16 analytic items. Its validity was assessed using a sample of 27 in-service and 92 pre-service teachers. Both the impulsive and analytic subscales were found to have internal consistency…

Significant momentum exists for next-generation assessments to increasingly utilize technology to develop and deliver performance-based assessments. Many traditional challenges with this assessment approach still apply, including psychometric concerns related to performance-based tasks (PBTs), which include low reliability, efficiency of…

The purpose of this study was to construct and evaluate an instrument for determining student preparedness in College Algebra. A 73-item instrument covering prerequisite arithmetic and high school Algebra knowledge for College Algebra was constructed. The instrument was pilot-tested on a freshman population of 595 students. Results of reliability…

The special characteristics of the data from the National Assessment of Educational Progress (NAEP) that affect the validity of conventional techniques of statistical analysis are considered. In contrast to the assumptions underlying standard methods of statistical analysis, the NAEP samples are obtained via a stratified multi-stage probability…

Educational assessment is a process of collecting evidence and interpreting it to provide instructors with information regarding students' learning. However, the current design and scoring of most standardized educational tests are insufficient to serve this purpose. The limitation exists primarily due to the lack of cognitive information…

States are establishing high stakes assessments to serve as a measurement tool of students' academic abilities. This study essentially explored and sought to understand some of Maryland's mathematics and science practitioners' perspectives on increase testing, and the No Child left Behind (NCLB) Act. Basically, the study sought to understand and…

The use of new extension of standard Item Response Theory (IRT) modeling of dichotomous items to include external variables is proposed. External variables may appear both as categorical grouping variables and as continuous variables; this requires the formulation of a model for the relationships between the external variables and the response…