Response time is an important research topic in the field of psychometrics. This dissertation tries to explore some response time properties across several item characteristics and examinee characteristics, as well as the interactions between response time and response outcomes, using data from a statewide mathematics assessment in two grades.…

The link between a student's math fluency and their success in general chemistry has been thoroughly documented in the literature. One diagnostic instrument that can be used to assess a student's arithmetic skills is the Math-Up Skills Test (MUST), a 20-question, free-response math test completed in 15 min. The MUST instrument assesses the…

Many universities use diagnostic tests to assess incoming students' preparedness for mathematics courses. Diagnostic test results can help students to identify topics where they need more practice and give lecturers a summary of strengths and weaknesses in their class. We demonstrate a process that can be used to make improvements to a mathematics…

In many countries, standardized math tests are important for achieving academic success. Here, we examine whether content of items, the story that explains a mathematical question, biases performance of low-SES students. In a large-scale cohort study of Trends in International Mathematics and Science Studies (TIMSS)--including data from 58…

This study aimed to evaluate the item model fit by equating the forms of the PISA 2018 mathematics subtest with concurrent common items equating in samples from Türkiye, the UK, and Italy. The answers given in mathematics subtest Forms 2, 8, and 12 were used in this context. Analyzes were performed using the Dichotomous Rasch Model in the WINSTEPS…

The purpose of this research is to determine whether PISA 2018 mathematical literacy test items show a differential item functioning across countries. For this purpose, only the items in booklet number three were examined using the MIMIC method with Latent Class Analysis (LCA) approach. PISA 2018 tests are mostly developed in English. Therefore,…

As highlighted in the literature, one of the main difficulties in mathematics is the management of different semiotic representations. This difficulty occurs in verticals throughout schooling and is often an obstacle to the proper learning process of mathematics. The present study aims to investigate the different facets of these difficulties with…

Big Ideas can be seen as overarching concepts that occur in various mathematical topics and strands within a syllabus. Within our project on Big Ideas in School Mathematics, we developed instruments to measure two Big Ideas: Equivalence and Proportionality. The instruments we developed seek to assess students' ability to see these Big Ideas as…

In this study, we conducted a survey of all tertiary level institutions in Ireland to find out how many of them use diagnostic tests, and what kind of mathematical content areas and topics appear on these tests. The information gathered provides an insight into what instructors expect students to know on entry to university and what they expect…

Full-information item analysis provides item developers and reviewers comprehensive empirical evidence of item quality, including option response frequency, point-biserial index (PBI) for distractors, mean-scores of respondents selecting each option, and option trace lines. The multi-serial index (MSI) is introduced as a more informative…

In Spring 2020, the need for redesigning online assessments to preserve integrity became a priority to many educators. Many of us found methods to proctor examinations using Zoom and proctoring software. Such examinations pose their own issues. To reduce the technical difficulties and cost, many Zoom proctored examination sessions were shortened;…

We report the validity of a test instrument that assesses the arithmetic ability of primary students by (a) describing the theoretical model of arithmetic ability assessment using Wilson's (2004) four building blocks of constructing measures and (b) providing empirical evidence for the validation study. The instrument consists of 21…

This study was conducted to reveal potential sources of students' difficulty and misconceptions about geometrical concepts with the help of eye tracking. In this study, the students' geometrical misconceptions were explored by answering the questions on the geometry test prepared based on the literature and test-taking processes and represented…

Recent research has demonstrated an intersectional approach to the study of differential item functioning (DIF). This approach expands DIF to account for the interactions between what have traditionally been treated as separate grouping variables. In this paper, we compare traditional and intersectional DIF analyses using data from a state testing…

Developing structure sense is an important part of learning algebra. We investigated learners' structure sense of algebraic expressions involving brackets. This led us to propose the constructs "surface structure" sense and "systemic structure" sense. Using a random sample of 58 Grade 10 learners scoring above 40% in a test, we…