Conjectures are a key component of mathematical inquiry, a process in which the students raise conjectures, refute or dismiss some of them, and formulate additional ones. Taking a design-based research approach, we formulated a design principle for personal feedback in supporting the iterative process of conjecturing. We empirically explored the…

This study examined problem-based learning in blended learning classrooms for practicing mathematical problems in an emergency situation, such as Covid-19. For this purpose, a three-week program was framed in contrast to traditional teaching, aiming at enrichment and not remediation, for a group of fifty students' studying mathematics in a science…

The problem addressed was that academic achievement gaps existed for low socioeconomic status (SES) family special education students among special education students in United States schools. This problem was important because it negatively affected equity in education as low SES community special education students lagged behind more affluent…

This article focuses on civic education and the constitution of subjects within a complex landscape of peace and war making in Colombia. Using a genealogical approach to study the manufacturing of citizens, and drawing on a document analysis of policies, curricular guidelines, and teaching resources, this paper evidences an increasing attention to…

As a "wicked problem," climate change requires interdisciplinary understanding and collaboration in order to prepare future leaders to develop solutions. To this end, as an ecologist and an anthropologist at a mid-sized university in the southeastern U.S., we designed a pair of interdisciplinary, research-intensive courses for first-year…

Although abstraction is widely understood to be one of the primary components of computational thinking, the roots of abstraction may be traced back to different fields. Hence, the meaning of abstraction in the context of computational thinking is often confounded, as researchers interpret abstraction through diverse lenses. To disentangle these…

This quasi-experimental study compared traditional teacher-centered instruction and a WeChat based flipped classroom to investigate student achievements and higher order thinking skills, such as critical thinking and problem-solving. The WeChat based flipped classroom adopted a Structured Query Language (SQL) lesson from an information technology…

This study investigated the effects of integrating a university's core value messages into the curriculum of a basic communication course on student recall of the messages, adjustment to college, and learning. A quasi-experimental design was used to examine differences between students (n = 302) assigned to one of three conditions: control group,…

Students who are actively engaged in learning have a higher probability of academic and behavioral success in the classroom. One effective teaching practice that increases student engagement is providing students with frequent opportunities to respond (OTR). This article provides practitioners with a range of OTR strategies that include verbal,…

A classroom based Problem Based Learning (PBL) activity was adapted to run as a remote activity during the COVID-19 pandemic using an approach described as virtual Problem Based Learning (vPBL). vPBL is based on (i) identification of a suitable learning platform that supports collaborative working in a way that mimics the classroom based activity…

Teachers focused on prevention of academic problems should apply procedures that enhance learning speed, or learning as a function of the time that the learner spends engaged in the intervention(s). Although few researchers evaluate or compare academic interventions using precise measures of learning speed, several strategies for modifying…

Background: In this cross-national study, Spanish, Finnish, and Swedish middle and high school students' procedural flexibility was examined, with the specific intent of determining whether and how students' equation-solving accuracy and flexibility varied by country, age, and/or academic track. The 791 student participants were asked to solve…

Isomorphism and homomorphism appear throughout abstract algebra, yet how algebraists characterize these concepts, especially homomorphism, remains understudied. Based on interviews with nine research-active mathematicians, we highlight new sameness-based conceptual metaphors and three new clusters of metaphors: sameness/formal definition, changing…

The past 20 years has seen a growing focus on the integration of Science, Technology, Engineering and Mathematics (iSTEM) disciplines in schools to provide students with authentic experiences in solving real-world problems. A frequently stated aim for iSTEM projects has been increasing engagement and interest in pursuing STEM subjects in senior…

In this Information Age, mathematics learning has shifted from independent to collaborative, and the ability to utilize both intrapersonal and interpersonal skills in learning has become essential. To cultivate multiple intelligences in mathematics classrooms, integrating project-based learning into mathematics instruction can be a promising…