As current mathematics standards, such as the Common Core, are being implemented throughout the United States, it has become evident that teachers need support to enact the tenets of those standards. To help in this endeavor, this article was published as a guideline to emphasize to mathematics education stakeholders that "effective teaching…

In early November 2013, the authors started talking about visiting the Hurley School, a dual-language school in Boston, Massachusetts. The Hurley School had spent considerable time transitioning to the Common Core State Standards on literacy, but little time addressing the shifts in math. They worried that math classes were no longer rigorous…

This study investigated the use of guided science inquiry methods with self-monitoring checklists to support problem-solving for students and increased autonomy during science instruction for students with moderate intellectual disability. Three students with moderate intellectual disability were supported in not only accessing the general…

Compared with introductory physics, relatively little is known about the development of expertise in advanced physics courses, especially in the case of quantum mechanics. Here, we describe a framework for understanding the patterns of student reasoning difficulties and how students develop expertise in quantum mechanics. The framework posits that…

The study introduces a new model for higher education called FBL: Feedback Based Learning. It is intended to inform the lecturers regarding the progress of students through online questionnaires covering the whole course curriculum. Using technology, lecturers can make a diagnosis at the end of each main topic to find out if there are difficulties…

In this review, we explore the notion of teaching science to English language learners (ELLs) as a balancing act between simultaneously focusing on language and content development, on the one hand, and between structuring instruction and focusing on student learning processes, on the other hand. This exploration is conducted through the lens of a…

Research over the past few decades points to ways precalculus and calculus courses can be strengthened to improve student learning in these courses. This research has informed the development of the Algebra and Precalculus Concept Readiness (APCR) and the Calculus Concept Readiness (CCR) assessments. In this article, the authors present three…

How can geometry teachers design great tasks that allow students to make connections among interrelated concepts and expand their geometric reasoning skills? Many curricular materials provide problems for students to apply a single geometric concept. However, these problems do not always promote reasoning opportunities for students, because…

Those who work in second- and foreign-language testing often find Koretz's concern for validity inferences under high-stakes (VIHS) conditions both welcome and familiar. While the focus of the article is more narrowly on the potential for two instructional responses to test-based accountability, "reallocation" and "coaching,"…

Despite few limitations, GeoGebra as a dynamic geometry software stood as a powerful instrument in helping university math majors understand, explore, and gain experiences in visualizing the limits of functions and the ?-d formalism. During the process of visualizing a theorem, the order mattered in the sequence of constituents. Students made use…

In this article, Nicholas Covino states that mental illness is a problem many people do not want to discuss, yet it affects everyone. Today, one in four adults and one in five children have a diagnosable mental illness, and one of two Americans will suffer from mental illness at some point in their lives. Suicide will claim one American every 13…

The purpose of this study was to investigate the influence of worked examples using virtual manipulatives on the learning performance and attitudes of fifth grade students toward mathematics. The results showed that: (1) the utilization of non-routine examples could promote learning performance of equivalent fractions. (2) Learning with virtual…

Threshold concepts are transformative, integrative, and provocative; understanding these difficult concepts allows students to be capable of solving advanced problems. This investigation and evaluation of a metacognitive curricular approach explore variation in students' and teachers' discernment of structural complexity of concepts and its…

We investigated whether the introduction of a variety of activity-based teaching strategies into college-level mathematics classes in the United Arab Emirates was effective in terms of the nature of the classroom learning environment and students' satisfaction. In addition, we investigated how the use of personally-relevant and concrete activities…

Increasing pressure to transform teaching and learning of engineering is supported by mounting research evidence for the value of learner-centered pedagogies. Despite this evidence, engineering faculty are often unsuccessful in applying such teaching approaches often because they lack the necessary knowledge to customize these pedagogies for their…