Background: Several studies have shown the influence of mathematical knowledge on both individual opportunities and chances for a self-determined and prosperous life as well as the welfare of nations. Against this background, the contents of maths education in the foundation phase as well as the way in which it is conveyed gain importance. While…

Mathematical giftedness (MG) is an intriguing phenomenon, the nature of which has yet to be sufficiently explored. This study goes a step further in understanding how MG is related to expertise in mathematics (EM) and general giftedness (G). Cognitive testing was conducted among 197 high school students with different levels of G and of EM. Based…

External number representations are commonly used throughout the first years of instruction. The twenty-frame is a grid that contains two rows of 10 dots each, and within each row, dots are organized in two groups of five. The assumption is that children can make use of these structures for enumerating the dots, rather than relying on one-by-one…

This experiment tested the effect that calculator use had on 200 randomly assigned college students' mathematical performance. The purposes of the current experiment were twofold: to measure the level of mathematical preparation of current college students, and to test whether calculators improve mathematical performance in such students as it…

Researchers debate whether one represents the magnitude of a fraction according to its real numerical value or just the discrete numerosity of its numerator or denominator. The present study examined three effects based on the notion that people possess a mental number line to explore how children represent fractions when they compare fractions…

The majority of college students are not ready for college-level math courses, which, when completed, have been shown to increase graduation and transfer rates. To address this problem, the Math My Way (MMW) program was developed to integrate module-based curriculum and mastery learning approaches. The program is based on Seidman's retention…

As education continues to progress schools are constantly seeking innovative ways to cultivate and enhance achievement for all students. As a result many public schools are pushing toward the inclusion model. This model includes co-taught instruction to meet the many needs of special education students. This research study was implemented to…

A longitudinal evaluation of language arts and mathematics achievement for grades 5 to 8 in the St. Catharines, Ontario school system over a forty-year span is presented. The comparison is based on three different studies conducted from 1933 to 1938, from 1952 to 1954, and from 1975 to 1977. Secondary contributions--the effects of changes in…