Schematic chunks denote patterns, schemes, or sophisticated rules and knowledge stored in the long-term memory in the form of chunks. We investigated whether schematic chunking is effective in improving the performance of students with math difficulties (MD) and students at risk of math failure, and how the complexity level of geometry problems…

The author was an engineer for 20 years in both development and applications followed by 15 years as adult educator primarily at a Midwestern urban university with under-represented students. Beginning fall 2008 and for the next 7 years, he developed interventions for "underprepared" STEMM (STEM and pre-Medical) students. This freshmen…

This study describes the mathematical processes in TIMSS (Trends in Mathematics and Science Study) to reflect issues. A descriptive qualitative methodology was used in this analysis as the research approach. The research allocated the respondent to the 6th grade students of Muhammadiyah 6 in the sub-district of Dau, Malang regency, East Java,…

We address the notion that different student grouping configurations in the classroom may provide different sets of opportunities for English learners (ELs) -- students whose home language is not English (the language of instruction in the U.S.) -- to both learn science and develop a second language through different forms of social interaction.…

The present study attempts to identify the effectiveness of Marzano's dimensions of learning model in developing creative thinking skills among the students of the foundation year at Prince Sattam bin Abdulaziz University, Saudi Arabia. To achieve the study objective, a scale of creative thinking skills and a guide were prepared by the author to…

Students' difficulties in quantum mechanics may be the result of unproductive framing rather than a fundamental inability to solve the problems or misconceptions about physics content. Using the theoretical lens of epistemological framing, we applied previously developed frames to seek an underlying structure to the long lists of published…

The current study investigated how item formats and their inherent affordances influence test-takers' cognition under uncertainty. Adult participants solved content-equivalent math items in multiple-selection multiple-choice and four alternative grid formats. The results indicated that participants' affirmative response tendency (i.e., judge the…

This paper examines the contrast and distinction between divergent and convergent scientific creativity, and the paradoxical relationship of scientific creativity with cultural factors in elementary students. With a newly developed measure of potential for scientific creativity, EPoC Science (Lubart et al., in press), students produce ideas in…

Math anxiety--negative feelings toward math--is hypothesized to be associated with the avoidance of math-related activities such as taking math courses and pursuing STEM careers. However, there is little experimental evidence for the math anxiety-avoidance link. Such evidence is important for formulating how to break this relationship. We…

In mathematical activities and in the analysis of mathematics teaching-learning processes, "objects," "signs", and "representations" are often mentioned, where the meaning assigned to those words is sometimes very broad, sometimes limited, other times intuitive, allusive, or not completely clear. On the other hand, as…

Supporters of K-12 arts education often make the case that when students study music, dance, theatrical performance, and the visual arts, they tend to improve in the academic subjects as well. But, as Lois Hetland explains, that's not the best way to advocate for greater investments in arts instruction. In fact, a careful analysis of a vast amount…

The high-fidelity and interactivity afforded by head-mounted displays (HMD) has a potential to improve learning in problem-solving contexts. However, there is a lack of studies with mixed findings on the efficacy of HMD in the development of problem-solving competence. Moreover, the integration of learning strategies with HMD supported learning is…

During collaborative learning in online learning communities, teachers usually guide their students through the learning process by means of discussion-based didactics. According to relevant research, an uncontrolled, nonintrusive discussion environment is usually insufficient for promoting higher cognitive processing (HCP). To address this…

We reflect upon a paper we wrote that was published in 1995 (20 years ago). We outline the motivation for the work and situate it in the state of the art at that time. We suggest that a key contribution was to highlight the need to provide support for learners who reason with external representations. The support must be flexible enough to…

In this article, we report the results of research that explores the intra-mathematical connections that high school students make when they solve Calculus tasks, in particular those involving the derivative and the integral. We consider mathematical connections as a cognitive process through which a person relates or associates two or more ideas,…