Why do students give incorrect answers in PISA? What are the reasons for giving incorrect answers? Do all incorrect answers reflect only the lack of competence or might even a competent child make a mistake? The aim of this article is to contribute to a better understanding of these issues. In the current investigation, we selected six students…

Based on measures of approach and avoidance mastery and performance goals delineated in the 2 × 2 achievement goal framework, this study utilized a person-centered approach to examine Singapore primary students' (N = 819) multiple goals pursuit in the general school context. Latent profile analysis identified six types of students with distinct…

Approximately, 283 sixth-grade students completed four randomly generated Math Curriculum-Based Measures (M-CBMs) from interventioncentral.org twice during a fall semester. These M-CBMs measured foundational skills in addition, subtraction, multiplication, and division. We found that using mean fluency or accuracy scores from four M-CBMs produced…

In this article we propose a framework for reporting mathematics results from national assessment surveys (NAS) such that effective use of the resulting reports can enhance teaching and learning. We explored literature on factors that may contribute to non-utilisation of assessment data as a basis for decision-making. In the context of South…

Academic achievement is very important in any educational setting, as it indicates the level of students' competence in respect of the academic content. This is obviously defined in terms of performance which represents the most understandable and regularly accepted pointer of performance in educational contexts (Ladipo & Gbotosho, 2015).…

The purpose of this study is to determine the misconceptions of 6th-grade secondary school students in terms of part-whole relation in fractions, representation of fractions on the number line, comparison of fractions and operations in fractions. The sample of this study is composed of 104 students who are being educated in 6th-grade of five…

The relationship of expected and actual difficulty of items on six mathematics question papers designed for 16-year olds in England was investigated through paired comparison using experts and testing with students. A variant of the Rasch model was applied to the comparison data to establish a scale of expected difficulty. In testing, the papers…

Individualization of instruction in a regular classroom is difficult. The paper explores the possibilities of using a mobile touch device and a web tool for time individualization in mathematics instruction. The paper compares the pros and cons of using an electronic and a regular (printed) test to determine students' needs. The results show that…

To assess the strength of conceptual understanding of number sense, a three-tier number sense test (TTNST) for fifth-grade students was developed and validated in this study. The three-tier test includes a content tier that assesses content knowledge of number sense, a reason tier that assesses a reason given for selecting a first-tier response,…

The purposes of calculus courses are often the acquisition of knowledge itself, the development of skills and the understanding of important concepts, such as functions, derivatives, the chain rule, integrals and the fundamental theorem of calculus. However, full conceptual understanding is frequently not achieved. In this article, we examine the…

This paper is concerned with fair and valid testing. It reports on a long-term project aimed at creating visual accessibility resources in mathematics computer-administered test items in a large-scale assessment system. We discuss our experience designing and developing pop-up illustration glossaries (IGs) for second language learners (SLLs) --…

New statistical methods are being added to the literature as a result of scientific developments each and every day. This study aims at investigating one of these, Maximum Likelihood Score Estimation with Fences (MLEF) method, in ca-MST. The results obtained from this study will contribute to both national and international literature since there…

This study aimed to combine the use of electronic technology and dynamic testing to overcome the limitations of conventional static testing, and adapt more closely to children's individual needs. We investigated the effects of a newly developed computerized series completion test using a dynamic testing approach and its relation to school…

Flexibility is an important element in learning mathematics. The purpose of this study was to investigate whether flexibility in linear equation solving predicts future academic achievement in mathematics and other subjects. Participants were 149 Finnish high-school students. Results show that flexibility was related to grades in both tracks of…

Research suggests that individual differences in math abilities correlate with approximate representations of quantity that are supported by a primitive Approximate Number System (ANS). However, relatively little research has addressed the direction of this association in early childhood. Here we examined the development of the ANS and math…