Various studies have concluded that many students have difficulty understanding concepts related to function derivatives. One of the concepts in function derivatives is higher-order derivatives, primarily the nth derivative pattern. This study aims to: (1) identify various types of learning obstacles experienced by prospective mathematics teacher…

While contemporary mathematics education literature argues that curricular resources, such as textbooks, play a significant role guiding mathematics teachers in what and how they teach, it also shows that these resources often do not do what they say they will do, nor adhere to the standards they claim to further. When it comes to the most…

This qualitative study explored private high school administrator and teacher perspectives on instructional strategies and rigor to improve Minnesota's college mathematic readiness. Data collection sources for the study included individual interviews, focus groups, and document review. The study produced four emergent themes from the data…

We studied a case of a school in a high need setting that undertook multiple simultaneous initiatives during a major school reorganization. We focused on the simultaneous implementations of two comprehensive initiatives, one related to ambitious mathematics teaching and one related to the Understanding by Design curriculum writing process. We…

This article presents a new measure of curricular intensity that is objective, parsimonious, clearly defined, replicable, and comparable over time for use by researchers interested in examining trends, causes, and outcomes of high school course taking. After proposing a reduced-form version of Adelman's curricular intensity index comprised of…

Rural schools face particular challenges with teacher quality. The Northeast Tennessee College and Career Ready Consortium was a collaborative reform effort among rural schools with a key goal of improving the quality of instruction in math and science to support its efforts to expand academically rigorous courses. This study examines progress…

The objective of this article is to study undergraduate student satisfaction with the educational programme in Applied Mathematics in terms of identification of areas for teaching process improvement. Currently, there are no instruments for student evaluation of teaching accepted by the teaching community in Russia, and student feedback…

A decade ago, states across the nation adopted the Common Core State Standards (CCSS) in an effort to raise the academic bar for their students. This has provoked countless political battles since then--including an especially intense one in Florida. That fight culminated in Governor Ron DeSantis vowing to eliminate and replace the Common Core,…

As part of a larger effort to improve teacher capacity for high-quality mathematics instruction, we investigated the factors that are associated with different enactment patterns at three levels: contextual (e.g., type and quality of textbook), individual (e.g., teacher knowledge), and teachers' opportunity-to-learn (e.g., professional development…

Direct assessments of instructional practice (e.g., classroom observations) are necessary to identify and eliminate opportunity gaps in students' learning of mathematics. This study examined 114 middle school mathematics classrooms in four instructionally focused urban districts. Results from the Instructional Quality Assessment identified high…

In spite of sustained efforts tertiary institutions implement to try and improve student academic performance, the number of students succeeding in first-year mathematics courses remains disturbingly low. For most students, the gap between their mathematical capability and the competencies they are expected and need to develop to function…

The rationale for the introduction of standards in the United States in the late 1980s was that the quality of education would improve. Assessment instruments in the form of written tests were constructed in order to perform a monitoring function. The introduction of standards and the associated monitoring have been replicated in South Africa. It…