The aim of this study was to develop an instrument for assessing sixth-grade students' number sense skills in fractions and decimals. This study was conducted on 452 sixth graders (10-11 years old) from the western region of Turkey. The construct validity of the number sense test (NST) was examined via exploratory factor analysis (EFA) and…

This action research aims to develop the ability to solve mathematical problems, particularly in polygons, through open-approach learning management for sixth-grade students, with the goal of achieving an average score exceeding 70% of the total possible score. The target group consisted of eight students in the second semester of the academic…

The use of digital technologies in teaching and learning processes has opened new and wide frontiers in mathematics education. Research in education moves towards teaching and learning (and assessing) twenty-first-century skills and computer-based testing seems an interesting possibility for assessing such skills. From this perspective, comparing…

Wollack et al. (2015) suggested the erasure detection index (EDI) for detecting fraudulent erasures for individual examinees. Wollack and Eckerly (2017) and Sinharay (2018) extended the index of Wollack et al. (2015) to suggest three EDIs for detecting fraudulent erasures at the aggregate or group level. This article follows up on the research of…

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 investigates the effect of 5E learning model enriched with coding (5EC), gender and their interaction on 4th grade students' mathematics achievements and permanence of their learning. It also examines the effect of the 5EC on participants' attitudes towards mathematics. The study group consists of 119 students. Mathematics achievement…

To illustrate primary students' use of argumentation, this study reported on an analysis of elements in argumentation of 168 grade 5 students in Taiwan. This study adopted the van Hiele (vH) model as the main theoretical framework with relevant studies to show the development of argumentation. This study designed a geometric argumentation test…

This study aims to apply the differential item functioning (DIF) technique with the deterministic inputs, noisy "and" gate (DINA) model to validate the mathematics construct and diagnostic attribute profiles across American and Singaporean students. Even with the same ability level, every single item is expected to show uniform DIF…

Developing mathematics proficiency requires an understanding of mathematics vocabulary. Although previous research has developed several measures of mathematics vocabulary at different grade levels, no study focused solely on fraction vocabularies. We developed and tested a measure of fraction vocabulary for students in Grade 4 to determine the…

This study examines the conceptual understanding of numbers and operations among 372 fifth-grade students, based on their responses to an online three-tier test designed to assess their number sense, declarative knowledge, explanatory knowledge, and confidence. The results showed that most students had low performance and low number sense, with…

When learning about fractions, teaching usually follows certain topics -- e.g. part of the whole, fraction equivalence, and size comparison. Not yet answered is whether students' conceptual and procedural knowledge of fractions is coherent between those topics. To answer this question, we performed a latent profile analysis of data from N = 1005…

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…

Early detection of and relevant information on children's mathematical difficulties is important to initiate targeted teaching and intervention. This study investigated the extent to which strategy use in single-digit addition provides additional predictive information about 61 grade one children's (6-year-old) mathematical achievement 3 years…

Previous research has demonstrated a link between children's ability to name canonical finger configurations and their mathematical abilities. This study aimed to investigate the nature of this association, specifically exploring whether the relationship is skill and handshape specific and identifying the underlying mechanisms involved.…

This study investigates the proof skills of gifted 5th -grade students. The study was conducted using the document analysis method, a type of qualitative study. The study included 25 students, 11 females and 14 males, all diagnosed as gifted and attending fifth grade in the center of the city in southern Turkey. The sample of the group was…