The goal of the study reported here is to gain a better understanding of the role of belief systems in the approach phase to mathematical problem solving. Two students of high academic performance were selected based on a previous exploratory study of 61 students 12-13 years old. In this study we identified different types of approaches to…

The implementation of the No Child Left Behind (NCLB) Act has had many positive effects on students in schools today. The results have been less positive, however, for high-achieving students. Teachers often focus their instruction on students who need the most help, leaving little time to meet the academic or emotional needs of gifted students.…

Streaming (or ability grouping) for mathematics learning is a contentious issue. It can also be considered an issue of equity or social justice as some students may be adversely affected by the practice. Currently, the Victorian Department of Education and Early Childhood Development (DEECD) does not appear to have clear guidelines on streaming.…

Several decades ago, V. A. Krutetskii conducted a multiyear study to investigate the various types of thinking that academically advanced, or as he called them, gifted mathematicians used. Following an in-depth look at Krutetskii's nine ways of thinking, a model is proposed that will provide direction for teachers in selecting problems. The model…

The purpose of the study was to identify school- and district-level variables that relate to advanced academic achievement, as defined by the ratio of number of scores of 3, 4, or 5 on Advanced Placement exams to school enrollment. The study initially included 46 variables for 339 public high schools in one Midwestern state. Hierarchical linear…

This article presents an interview with Dr. Tracy L. Cross, George and Frances Ball Distinguished Professor of Gifted Studies and Associate Dean for Graduate Studies, Research and Assessment for Teachers College at Ball State University (BSU). For 9 years he served BSU as the Executive Director of the Indiana Academy for Science, Mathematics and…

The District conducts a "cross-sectional" analysis of student dropouts annually; it examines dropout rates among students enrolled in various grades at one point in time. A "longitudinal" analysis, also conducted annually, tracks a group of students in the same grade or cohort over a period of several years. Each method…

Given the efforts of comprehensive school reform to improve the quality of educational opportunities for students by providing a standards based curriculum, this analysis examines the issue of tracking and its implications regarding curriculum differentiation. Using data from middle schools involved with the comprehensive school reform model,…

This experimental study examined the effect of a differentiated, enriched reading program on students' oral reading fluency and comprehension using the schoolwide enrichment model-reading (SEM-R). Treatment and control conditions were randomly assigned to 63 teachers and 1,192 second through fifth grade students across five elementary schools.…

This study compared self-report ratings of self-concept before and after the first semester of college among a group of 21 early entrance college students. Results indicated that students maintained their overall level of self-concept following their first semester of college. Mild increases in self-concept were noted in the domains of Physical…

A most common belief is that giftedness is the cause of problems in sibling relationships when the family is "mixed", has at least one gifted child, and at least one non-gifted one. This belief has been accepted not only by parents and educators of the gifted, but also by researchers in the area of gifted education in general and…

Adam, an 11th grader, was identified as gifted and accepted into a two week summer enrichment program. He signed up for "Geometry with Flash Programming." He had no prior programming experience but had a strong and healthy self-image as mathematics student. Although Adam had a positive attitude toward mathematics and saw himself as a successful…

Barriers to the identification of gifted students from traditionally underserved groups have been well documented. Although contemporary definitions of giftedness give heed to both performance and potential, the literature provides little concrete direction for how "potential" can be recognized, particularly in underperforming students who have…

More than 25 years ago, the myth that a small gifted program compensated for a "sick" regular education program took its place in the "Gifted Child Quarterly" special issue pantheon. The myth was framed from the perspective of school districts who implemented limited, part-time programs for gifted students to "comfort…

In many ways, meeting the needs of gifted students through differentiation of curriculum and instruction within the regular classroom seems a perfect solution to the issues that have plagued gifted education for many years and remain largely unresolved. So why "is" it a myth that differentiated instruction in the regular classroom is an…