Students' experience errors in solving proportional problems and prospective teachers' experience were the same thing. Research that explained the wrong strategy for understanding proportional problems still needed to be completed. Objectives to describe the wrong strategies chosen by prospective teachers in solving proportional questions and the…

We collected data on students' self-assessment behavior from four sections of a Calculus II course. Students were asked to write their expected scores on each of the weekly in-class quizzes and problems in the exams, immediately after they completed them. They were then asked to justify their expectation in writing. One-on-one interviews were…

The variational thinking of high school students based on mathematical connections was analyzed through a laboratory on linear functions. This qualitative research based on design was developed in three phases: diagnostic test, implementation of the mathematics laboratory and final test, with students from a public institution in Barranquilla,…

International large-scale assessments (ILSA) are an important source of information for education policymakers across the globe. Despite sponsors' warnings, when results are published, media attention focuses on country rankings and changes in scores. Score changes are evaluated using a two-sided z-statistic, with statistical significance declared…

This study investigated how students reason about the partial derivative and the directional derivative of a multivariable function at a given point, using different graphical representations for the function in the problem statement. Questions were formulated to be as isomorphic as possible in both mathematics and physics contexts and were given…

We estimate the spillover impacts of charter schools on public schools and public school students. We leverage administrative data and quasi-random assignment of charter school openings in Texas using application scores from the State Board of Education. This design capitalizes on the discontinuous increase in approval likelihood for charter…

Background: Achievement emotions are important for mathematical achievement. However, it is currently unclear how specific combinations of emotions--and their associated control and value appraisals--relate to mathematics performance, especially in younger students. Aims: The aims of this study were to (i) identify heterogeneous profiles of…

Early-grade learners build on their preschool numeracy competence with vocabulary and grammar of their home language as important semiotic tools. In this study, the performance of two samples of Grade 2 learners, who completed the MARKO-D SA interview-based test of number concept development, were assessed. The results showed that participants (n…

This paper presents research activity on computer-based mathematics learning to study the effectiveness of open-source teaching computer platforms (Canvas) in computer-assisted instruction. We designed a set of multiple-choice online quizzes as a dynamical flow-chart of possible paths to follow while solving a difficult math problem on…

This technical report describes the entire development process for all mathematics items and tests used in CBMSkills. A brief introduction highlights the purpose of the assessment system, noting their important relationship with easyCBM. Given the items are designed to provide teachers diagnostic information on students' specific skills within…

This research aimed to: (1) develop interactive multimedia to enhance performance on the National Educational Test at the basic level in Mathematics, (2) develop teachers' competency in interactive multimedia utilization, and (3) investigate the effects of interactive multimedia on student learning outcomes. The study involved two target groups:…

This scoping review addresses the limited scopes of current research on classroom assessment in university mathematics education (UME). We examine 67 empirical studies (2012-2024) from two crucial but ignored aspects: assessment purposes and theoretical foundations. Our key findings reveal (1) significant geographic disparities reflecting the…

In mathematics education, assessment is increasingly conducted using computer- or tablet-based technologies as alternatives to the traditional paper-and-pencil format. Several studies have examined the impact of test mode (computer vs. paper) on test performance in mathematics, but these studies have produced mixed results and few studies…

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…

A critical aspect of the development of culturally relevant classroom assessments is the design of tasks that affirm students' racial and ethnic identities and community cultural practices. This paper describes the process we followed to build a shared understanding of what culturally relevant assessments are, to pursue ways of bringing more…