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…

The Program for International Student Assessment (PISA) testing is conducted every 3 years by the Organization for Economic Co-operation and Development (OECD; oecd.org) with 15-year-olds across the globe. Students complete a battery of tests in science, reading, and mathematics and complete an attitudinal survey. The goal of the PISA testing is…

For assessment contexts where both a paper-based test and an on-screen assessment are available as alternatives, it is still common for the paper-based test to be prepared first with questions later transferred into an on-screen testing platform. One challenge with this is that some questions cannot be transferred. One solution might be for…

Successive relearning involves practicing to-be-learned content until a designated level of mastery is achieved in each of multiple practice sessions. As compared with practicing the content to the same criterion in a single session, successive relearning has been shown to dramatically boost students' retention of simple verbal materials. Does the…

The purpose of these notes is to generalize and extend a challenging geometry problem from a mathematics competition. The notes also contain solution sketches pertaining to the problems discussed.

The aim of this study was to investigate how pictorial representations with different semiotic characteristics affect additive word problem solving by kindergartners. The focus of the study is on three categories of additive problems (change problems, combine problems and equalize problems) and on representational pictures with different semiotic…

Homework is prevalent in mathematics courses, as are cumulative final exams. This study incorporated the memory science concepts of the "testing effect" and "spacing effect" in the homework and final exam of college mathematics courses. By replacing some new homework problems with review problems, students had additional…

This mixed-method study aims to explore the feasibility of using the game-based, multimodal representation of mathematical problems to support middle school students' practice and performance of math problem representation and solving. A three-dimensional architectural simulation game, called E-Rebuild, was developed to engage students in…