It is well known that fraction knowledge is relevant for later success in mathematics. However, many students still face difficulties when dealing with fractions. Predictors of fraction knowledge have been widely examined. Systematizing "mathematical" predictors, whether their predictive contributions are direct or indirectly mediated…

Cognitive demand is a crucial dimension of instructional quality. Its heterogenous operationalizations call for refined investigations, with respect to discursive richness (generic conceptualizations) and conceptual richness (subject-related conceptualizations). Considering not only teachers' intended cognitive activation (operationalized, e.g.,…

One of the most important qualities of learners is the ability to conduct research. Students who grasp this subject acquire critical thinking abilities, which will eventually help them to function a valuable human being in the future. Proficiency in doing research is a prerequisite for academic achievement. The purpose of this study is to assess…

This study describes students' learning obstacles in solving early algebra problems requiring functional thinking ability. To reach this aim, qualitative research was conducted in this study. Participants of this study were 39 ninth graders and a mathematics teacher at one of the lower secondary schools in Bandung, Indonesia. The data were…

This dissertation study investigated the efficacy of a multi-component intervention package delivered via an online learning tool on math fluency for prerequisite algebra skills for three 6th-grade students. Students were referred by their math teacher due to concerns with academic performance. Target skills were individualized for each student…

Previous studies on advanced middle and high school mathematics course enrollment have focused on the correlation of successful course completion and post-secondary outcomes for students. This instrumental case study examined how school related factors such as personnel and policy influenced equitable enrollment in middle and high school honors…

This paper presents an analysis of fractions errors displayed by learners due to deficient mastery of prerequisite concepts. Fractions continue to pose a critical challenge for learners. Fractions can be a tricky concept for learners although they often use the concept of sharing in their daily lives. 30 purposefully sampled learners participated…

The purpose of this research is to determine the requirements of being a school principal and investigate the pre-service trainings of primary and middle school principals in the United States. In accordance with this aim, semi-structured interviews were conducted with 16 primary and middle school principals from the state of Michigan. In this…

Given the recent interest in the use of video self-modeling (VSM) to provide instruction within iPod apps and other pieces of handheld mobile assistive technologies, investigating appropriate prerequisite skills for effective use of this intervention is particularly timely and relevant. To provide additional information regarding the efficacy of…

An understanding of Algebra I and the role that this foundational course plays as an entry to the college preparatory pathway in secondary education and its influence on mathematical achievement is an integral component for the education of American youth in the global world of science and technology. Achievements in high school curricula are…

Technology education is being taught today in almost every high school and middle school in America. Over 1000 technology education departments are now including pre-engineering education in their programs. According to these authors, the time has come for the profession to agree that including pre-engineering education in technology education…

Project Lead The Way (PLTW) is thought by some to be the nation's premier program in providing high schools and middle schools with pre-engineering curriculum and linkage to college-level engineering and engineering technology programs. This study examined the infusion of the PLTW pre-engineering curriculum into the well-established technology…