The method of proof by mathematical induction follows from Peano axiom 5. We give three properties which are often used in the proofs by mathematical induction. We show that these are equivalent. Supposing the well-ordering property we prove the validity of this method without using Peano axiom 5. Finally, we introduce the simplest form of…

The results of the Romanian pupils on international tests PISA and TIMSS in Mathematics are below the average. These poor results have many explications. In this article we compare the Mathematics problems given on these international tests with those given on national tests in Romania.

The goal of this paper was to further our understanding of adolescents' adjustment by studying multiple components of siblings' unique family environments using the difference score methodology. Self-report data about marital conflict, parent-child hostility and adolescents' adjustment were obtained from 114 sibling pairs (mean ages = 14 and 16…

A career with Extension can be very rewarding, but also very demanding, as employees have to balance job stress and time demands with family goals and demands. The very nature of Extension work brings some tension between the job and family, and employees need to be equipped to make decisions about personal and work time. If the Extension System…

This quantitative research study sought to determine the factors that distinguish those students who are classified as "major-changers" from those who are classified as "relatively stable" (never changing their initial major or changing only once or twice). Participants of this study were full-time undergraduate students…

According to industry representatives, computer science education needs to emphasize the processes involved in solving computing problems rather than their solutions. Most of the current assessment tools used by universities and computer science departments analyze student answers to problems rather than investigating the processes involved in…

The focus of this dissertation was the use of restorative justice practices in the collegiate setting. Some have expressed concern with the legal nature of campus conduct processes. Restorative practices have been implemented in criminal justice and K-12 settings and are seen by some as an antidote to overly legalistic campus conduct processes.…

In this design-based study, an eleven-week curricular module in recent American history was developed that departed from both the epistemology and ideology of traditional textbooks. The curriculum instantiated a constructivist epistemology by having students assess multiple historical narratives and sources of evidence. It instantiated a…

Children identified for special education services were once denied access to regular education classrooms and their peers regardless of the nature of their disabilities. In recent decades, efforts have been made to integrate more exceptional children into mainstream environments. The term inclusion has manifested itself into modern education…

This paper presents the testimony of Gina Adams before the Early Childhood, Elementary, and Secondary Education Subcommittee Hearing on "Improving Early Childhood Development Policies and Practices." This testimony was presented to the House Committee on Education and Labor, U.S. House of Representatives last March 19, 2009. She talks about how…

This "at a glance" publication investigates the idea of "informal learning", which has been described as an iceberg: "mostly invisible at the surface and immense in its mostly submerged informal aspects" (Livingstone 2000). It does so in order to offer some definitional clarity for those needing to uncover that…

The National Center for Education Statistics reports that single mother college students are nearly three times as likely to drop out of college during their first year of study compared to single females without children. Qualitative studies on single mothers indicate that financial problems and demands of parenthood are reasons that precipitate…

Treatment for adolescent problem behavior has been given extensive attention in the literature due to the serious nature of the problem and the potential risk to others and the community. As the needs of an increasingly diverse juvenile population intensify and mounting evidence suggests ethnic minority youth receive disparate treatment across…

Compared with other professions, teachers in P-12 schools seem to experience the highest level of emotional exhaustion. The purpose of this study was to examine teacher emotions within the context of teachers' appraisals and the ways they regulate and cope with their emotions. This was done by exploring novice teachers' appraisals of classroom…

Typical middle and high school math curricula are template based, meaning the use of standardized methods to solve mathematical problems as examples on which to base other problem solving. Template based math instruction may help a student to pass tests; however, it is an insufficient way to develop mathematical thinking. Mathematicians are…