The purpose of this study was to explore strategies used by high-achieving 6th grade students in the United Arab Emirates (UAE) to solve basic arithmetic problems involving number sense. The sample for the study consisted of 15 high-achieving boys and 15 high-achieving girls in grade 6 from 2 schools in the Emirate of Abu Dhabi, UAE. Data for the…

The current body of literature suggests an interactive relationship between several of the process standards advocated by National Council of Teachers of Mathematics. Verbal and written mathematical communication has often been described as an alternative to typical mathematical representations (e.g., charts and graphs). Therefore, the…

The ability to couple problem solving both to the understanding of chemical concepts and to laboratory practices is an essential skill for undergraduate chemistry programs to foster in our students. Therefore, chemistry programs must offer opportunities to answer real problems that require use of problem-solving processes used by practicing…

Students often view mathematics as a set of unrelated facts and procedures and fail to make the connections between and among related topics. One role of a teacher is to help students understand that mathematics is an interrelated discipline. Another role is to assist students in the scaffolding of their knowledge so that they can make connections…

What are the nature, forms, and roles of metaphors in mathematics instruction? We present and closely analyze three examples of idiosyncratic metaphors produced during one-to-one tutorial clinical interviews with 11-year-old participants as they attempted to use unfamiliar artifacts and procedures to reason about realistic probability problems.…

This article tackles the problem of what should be done with real textual data that are contaminated by errors of recording, particularly when the data contain words that are misspelt, unintentionally or otherwise. (Contains 5 tables and 2 figures.)

This study analysed the different types of arithmetic knowledge that young children utilise when solving a multiple-step addition task. The focus of the research was on the procedural and conceptual changes that occur as children develop their overall problem solving approach. Combining qualitative case study with a micro-genetic approach,…

Background: Reviews have highlighted anxious youths' affective disturbances, specifically, elevated negative emotions and reliance on ineffective emotion regulation strategies. However, no study has examined anxious youth's emotional reactivity and regulation in real-world contexts. Methods: This study utilized an ecological momentary assessment…

We consider a problem appearing in an Australian Mathematics Challenge in 2003. This article considers whether a spreadsheet might be used to model this problem, thus allowing students to explore its structure within the spreadsheet environment. It then goes on to reflect on some general principles of problem decomposition when the final goal is a…

This article gives an elementary proof of the famous identity [image omitted]. Using nothing more than freshman calculus, the present proof is far simpler than many existing ones. This result also leads directly to Euler's and Neville's identities, as well as the identity [image omitted].

Throughout the profession's history, family and consumer sciences professionals have worked to consider what should be done about various social issues affecting individuals, families, and communities across the world. Hunger is a global issue pertaining to the right to life, human survival, sustainable communities, and promotion of healthy…

This paper investigates a method for increasing the involvement of marketing fourth year learners in academic research, by encouraging greater participation in, and commitment to, their research project in the Applied Marketing IV subject. It is assumed that greater involvement will result in a greater pass rate. The main reasons for this lack of…

Imagine two fourth-grade classes. Both contain students of comparable demographics and highly respected teachers each with four to five years of experience. Both classes engage in science curricula that emphasize science and engineering practices as outlined in the "Next Generation Science Standards" (NGSS Lead States 2013). Both classes…

This article describes how one science teacher based an activity on designing smartphone apps to clearly and concisely communicate the interdependent relationships of a biological ecosystem. The teacher designed the activity to address several aspects of the latest science standards. Students needed to understand their ecosystem and synthesize new…

This paper reports results from a case study focused on understanding student practices regarding production-oriented problem-solving with digital media. Thirty-seven students participated in an elective curriculum called, "Techno Savvy," a nine-week course focused on student exploration of global issues, and designed around Web 2.0…