This paper reports the results of an exploratory study of the perceptions of and approaches to mathematical proof of undergraduates enrolled in lecture-based and problem-based "transition to proof" courses. While the students in the lecture-based course demonstrated conceptions of proof that reflect those reported in the research literature as…

This article discusses three solutions to the "Tower of Hanoi" problem offered by students in a mathematics content course for prospective elementary school teachers. The course uses standards-based pedagogy and teaching via problem solving. Within this work, we consider the growth supported by collaboration at both the students' level…

This exploratory study investigates the level of mathematics anxiety among 116 high ability Secondary Two students. These students were from the top 10% of the Secondary Two students in Singapore. Mathematics Anxiety was measured using the Fennema-Sherman Mathematics Anxiety Scale (MAS) (Fennema & Sherman, 1978) which consisted of twelve items…

This study examines the cognitive experiences of children as they engage in creative projects in both dance and poetry. The data includes interviews with fifth graders from an elementary School in Bucks County, Pennsylvania, about their lived experience of writing poetry and creating dances. Students interviewed for this study participated in a…

This is the second of two papers that propose an expanded and enriched view of arithmetic problem solving by stressing the need to provide learning activities that include problems of varying structures. The first paper included a framework for the enhancement of text-based problems. This second paper proposes a scheme for the development of…

165 students, from the fifth, seventh and ninth grades were asked to solve written problems involving fractions. In the problems a reference quantity (RQ) was multiplied by a fraction (FR), yielding the value of a compared quantity (CQ). The fraction expressed either an part-whole ratio (PW), or a part-part ratio (PP). Six type of problems were…

Two key characteristics of Attention-Deficit/Hyperactivity Disorder (ADHD), problems with attention and behavioral control, represent the most common reasons for school referrals (Barkley & Edwards, 1998). This makes it essential for school psychologists to acquire the knowledge and skills necessary to conduct a comprehensive assessment of ADHD…

One of the major issues related to teaching an introductory programming course is the excessive amount of time spent on the language's syntax, which leaves little time for developing skills in program design and solution creativity. The wide variation in the students' backgrounds, coupled with the traditional classroom (one size-fits-all) teaching…

This paper describes insights on how to promote mathematical reasoning in problem solving based on the mathematical experiences of participants in a long-term study in which the students engaged in strands of well-defined, open-ended mathematical investigations, as a context for research on the development of particular concepts and ways of…

This investigation describes the way in which a case study participant (aged 7) represented, posed and solved problems in a technology game-based environment. The out-of-school problem-solving context placed numeracy demands on the participant that were more complex and sophisticated than the type of mathematics experiences he encountered in…

Change-oriented strategies such as problem-solving/communication training (PS/CT) and parental behavior management training (BMT) have been used to treat parent-adolescent conflict. Although several studies have documented the efficacy of these approaches relative to wait-list control conditions, clinically significant improvements have not been…

Over the past thirty years, Problem Solving Therapy (PST) has been shown to be an effective treatment for many different problems and patient populations (Nezu, 2004). Among its many clinical applications, PST interventions were developed for persons with intellectually disabilities (ID), where improving problem-solving skills led to adaptive…

Three key features of a proposed capstone mathematics course for the preparation of teachers at the secondary level are: 1) teacher candidates examine concepts from the curriculum at a deeper level in the context of rich problems; 2) they investigate common themes in the math curriculum, such as shape and change, then collaborate on and present…

The paper examines the role of critical thinking in an experience-based model of social work education. Within this model, the development of a critical approach to our own understanding of, as well as to existing knowledge about, the world is fundamental for students and educators alike. Critical thinking is defined as more than a rational,…

In Fall 2004, Virginia Commonwealth University (VCU) piloted a modeling-based approach to college algebra. This paper describes the course and an assessment that was conducted to determine the effect of this approach on student achievement in comparison to a traditional approach to college algebra. The results show that compared with their…