The object of research is a statistics exam that contains problem tasks. One examiner performed two exam evaluation methods to repeatedly evaluate the exam. The goal was to compare the methods for objectivity. One of the two exam evaluation methods we call a serial evaluation method. The serial evaluation method assumes evaluation of all exam…

Progressing from additive to multiplicative thinking is a key outcome of school mathematics, making ratios an essential topic of study in junior secondary. In this study, 15 Australian Year 8 students were administered a ratio test followed by semi-structured interviews to explore their conceptions of ratio prior to formal instruction. In this…

Knowledge tracing (KT), the task of tracking the knowledge state of each student over time, has been assessed actively by artificial intelligence researchers. Recent reports have described that Deep-IRT, which combines Item Response Theory (IRT) with a deep learning model, provides superior performance. It can express the abilities of each student…

Response Process Validity (RPV) reflects the degree to which items are interpreted as intended by item developers. In this study, teacher responses to constructed response (CR) items to assess pedagogical content knowledge (PCK) of middle school mathematics teachers were evaluated to determine what types of teacher responses signaled weak RPV. We…

Automated scoring of student responses to open-ended questions, including short-answer questions, has great potential to scale to a large number of responses. Recent approaches for automated scoring rely on supervised learning, i.e., training classifiers or fine-tuning language models on a small number of responses with human-provided score…

We previously (Gantt et al., 2023; Paoletti et al., 2021) identified items from the publicly released TIMSS 2011 assessments that had potential for students to employ covariational reasoning as a solution strategy. In this report, we explore the extent to which fourth-grade students' performance on such items in mathematics differed among 26…

This paper will elaborate five levels of algebraic generalisation based on an analysis of students' responses to Reframing Mathematical Futures II (RMFII) tasks designed to assess algebraic reasoning. The five levels of algebraic generalisation will be elaborated and illustrated using selected tasks from the RMFII study. The five levels will be…

When examinees perceive a test as low stakes, it is logical to assume that some of them will not put out their maximum effort. This condition makes the validity of the test results more complicated. Although many studies have investigated motivational fluctuation across tests during a testing session, only a small number of studies have…

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…

Due to numerous reforms, modern teaching now asks for the role of the teacher to be redefined as well. One of the teacher's many tasks is to master the competencies which would enable them to encourage and stimulate their learners. In this article, authors report on a research conducted at Preschool Teachers' Training College in Kikinda, which…

Item response theory (IRT) is a popular method to infer student abilities and item difficulties from observed test responses. However, IRT struggles with two challenges: How to map items to skills if multiple skills are present? And how to infer the ability of new students that have not been part of the training data? Inspired by recent advances…

This study demonstrates the importance of Rasch Measurement Theory (RMT) in program evaluation when outcome measures need to be constructed from scratch. The paper introduces typical measure validation methods presented in program evaluation texts and discusses room for improvement. The study then illustrates how the seamless transitions from…

With the rapid increase in the number of universities in Turkey, the number of graduates in the field of foreign languages has increased considerably as in every field. Following this, it has become difficult to find employment opportunities at civil service, and individuals have started to search for jobs in different fields. Therefore, there is…

A historical review of mathematics textbooks suggests a canonical method to solving equations that teachers often see as "the" way to solve equations. In this paper, we examine data from a nationally-distributed sample of 524 secondary mathematics teachers who responded to scenario-based survey items that represent the instructional…

This research synthesizes studies that used a Digitalized Interactive Component (DIC) to assess K-12 student mathematics performance during Computer-based-Assessments (CBAs) in mathematics. A systematic search identified ten studies that categorized existing DICs according to the tools that provided language assistance to students and tools that…