The van Hiele theory and van Hiele Geometry Test have been extensively used in mathematics assessments across countries. The purpose of this study is to use classical test theory (CTT) and cognitive diagnostic modeling (CDM) frameworks to examine psychometric properties of the van Hiele Geometry Test and to compare how various classification…

Implementing a randomized controlled trial design, the present study investigated the effects of two types of accommodations, linguistic modification and a glossary, for English learners (ELs) taking a computer-based mathematics assessment. Process data including response time and clicks on glossary words were also examined to better interpret…

Effects of spaced, repeated retrieval practice and test-potentiated learning on mathematical knowledge and reasoning in an authentic educational setting are investigated in the study. Research participants were a cohort of second-year pre-service mathematics teachers. A revised taxonomy table was utilized to measure the knowledge and reasoning…

This study examines relationships between digital SAT scores and other relevant educational measures, such as high school grade point average (HSGPA), PSAT/NMSQT Total score, and Average AP Exam score, and compares those relationships to current paper and pencil SAT score relationships with the same measures. This information can provide…

Metacognition is theorized to play a central role in children's mathematics learning. The primary goal of the current study was to provide experimental evidence in support of this role with elementary school students learning about mathematical equivalence. The final sample included 135 children (59 first graders and 76 second graders) who…

It is known that students have many misconceptions about concepts related to function. By discovering misconceptions using an appropriate measurement instrument, we can determine what changes we need to make in the real functions curriculum to improve learning outcomes. Therefore, we designed an item bank for measuring conceptual understandings of…

In this paper the authors described the influence of the computer-based environment on students' learning achievement of the multidimensional calculus, in particular double integrals. The research was conducted with the second year students at the University of Kragujevac, Serbia, with two groups of students: the experimental and the control one.…

This study explores the influence of external examination on teaching and learning Mathematics at the secondary schools affiliated with provincial and private examination boards in Pakistan. This study was conducted in two phases by employing the explanatory sequential mixed-method. First, the Mathematics examination papers of the last five years…

The aim of the research is to identify the effectiveness of using a proposed strategy according to the (Marquqrd) model in the algebraic thinking skills of second-grade intermediate students in the schools of the General Directorate of Education in Babylon. To achieve the goal, the following null hypothesis was formulated: There are no…

This research is a developmental research aiming at developing a good mathematical test instrument using polytomous responses based on classical and modern theories. This research design uses the Plomp model, which consists of five stages, (1) preliminary investigation, (2) design, (3) realization/construction, (4) revision, and (5) implementation…

Thinking is a tool to construct knowledge in learning mathematics. However, some college students have not been fully aware of the importance of constructing their knowledge. Therefore, this study aims to explore students' thinking processes in completing mathematical proofs through assimilation and accommodation schemes. This research was…

This study examined factors contributing to the underrepresentation of Black students in STEM majors and fields. The author used social cognitive career theory to explore the factors that most influence the majority of Black students' algebra test scores and the potential relationship between those scores and a student's intent to pursue a college…

Worked examples are effective learning tools for algebraic equation solving. However, they are typically presented in a static concise format, which only displays the major derivation steps in one static image. The current work explores how worked examples that vary in their extensiveness (i.e., detail) and degree of dynamic presentation (i.e.,…

The demand for diagnostic feedback has triggered extensive research on cognitive diagnostic models (CDMs), such as the deterministic input, noisy output "and" gate (DINA) model. This study explored two Q-matrix specifications with the DINA model in a statewide large-scale mathematics assessment. The first Q-matrix was developed based on…

This article includes a case study describing our innovative teaching technique of assigning reading journals in a first semester calculus course (Calculus I), as well as an exposition about and recommendations arising from our subsequent experiences implementing similar methods in Junior and Senior mathematics courses. In the primary case study…