This paper describes the development and implementation of course modules intended to encourage creative thinking in an undergraduate general education mathematics course. The modules were designed to address the characteristics of creativity outlined in the literature through explorations of mathematics relevant to non-mathematics majors. A…

In the context of an analytical geometry, this study considers the mathematical understanding and activity of seven students analyzed simultaneously through two knowledge frameworks: (1) the Van Hiele levels (Van Hiele, 1986, 1999) and register and domain knowledge (Hibert, 1988); and (2) three action frameworks: the SOLO taxonomy (Biggs, 1999;…

From a sociocognitive perspective, item parameters in a test represent regularities in examinees' item responses. These regularities are originated from shared experiences among individuals in interacting with their environment. Theories explaining the relationship between culture and cognition also acknowledge these shared experiences as the…

Large-scale assessments (LSAs) use Mislevy's "plausible value" (PV) approach to relate student proficiency to noncognitive variables administered in a background questionnaire. This method requires background variables to be completely observed, a requirement that is seldom fulfilled. In this article, we evaluate and compare the…

The purpose of this study was to investigate the possibility of a relationship between second-order change leadership behaviors of high school administrators and changes in student achievement on the Florida Standards Assessment English Language Arts/Reading component and the Algebra 1 End of Course examination in two large urban school districts.…

Increasing linguistic diversity in classrooms has led researchers to examine the validity and fairness of standardized achievement tests, specifically concerning whether test score interpretations are free of bias and score use is fair for all students. This study examined whether mathematics achievement test items that contain complex language…

Gateway testing is an important pedagogic tool employed by many university mathematics departments in calculus and precalculus courses. With a goal of ensuring that students attain needed basic skills in courses with a conceptual "reform" orientation, these tests provide an efficient means of assessing a large volume of student work,…

This study assessed the psychometric properties of a digital early mathematics assessment, the Ani Banani Math Test (ABMT) in three samples (N[subscript 1] = 243, N[subscript 2] = 691, N[subscript 3] = 1282) in kindergarten and first grade (age range 4.67-7.30). Confirmatory factor analyses showed that the ABMT appears to measure one general…

International large-scale assessments (ILSAs) have become an important part of the Swedish evaluation system. It is therefore of crucial importance to validate national measures of Swedish students' achievement with their ILSA test scores. Here, we offer results from such a validation study based on Swedish students' test scores in IEA's Trends in…

This study linked ninth-grade student background data and school-reported high school transcript data from the national High School Longitudinal Study of 2009 (HSLS:09) to student item responses on the 2013 National Assessment of Educational Progress (NAEP) mathematics assessment to examine the relationships between high school coursework and…

This research study was conducted to gain a better understanding of teacher perceptions, in both low-performing and high-performing urban charter schools, of the impact of administrative support, professional development, and teacher preparation in closing the achievement gap among fourth grade students. The trend over the last five years among…

Although Montessori is the most common unconventional education model, no multi-state study has compared standardized test proficiency of Montessori schools with districts. Here we report on this for the 10 states/regions with the most public Montessori schools (n = 195). In 3rd grade, Montessori schools were less proficient in math but more…

In this study, I examined how 34 Spanish-speaking English language learners (ELLs) used their linguistic resources (English and Spanish) and language modes (oral and written language) to demonstrate their knowledge of proportional reasoning in a dual language mathematics assessment task. The assessment allows students to see the item in both…

As we move further into the digital age, the acquisition of digital literacy (DL) and computational thinking (CT) skills is emerging internationally as an essential goal for students in contemporary school curricula. As the world becomes more uncertain and volatile due to impacts of artificial intelligence (AI), international unrest, climate…

Previous research on the implications of early-tracking education systems has not specifically focused on how studying in academic and non-academic tracks shapes the features and characteristics of shadow education (private tutoring) that students are involved in. The study compares the scale and features of private tutoring and the underlying…