This case study investigates, at three Swedish schools, primary school students' knowledge of the equal sign. The schools were chosen as representatives of schools whose students have different socioeconomic backgrounds. The data consist of Grade 3 and 6 students' responses to an assessment form based on Matthews et al. ("JRME,"…

For scholars and policy-makers alike, deeper learning has been a promising paradigm for fostering students' interest in and mastery of science, technology, engineering, and mathematics (STEM). Deeper learning is assumed to result in a more thorough understanding of a subject that endures the test of time. To reach this level, a fascination with…

Mathematics related affect turn from positive to negative during comprehensive school years worldwide. There is a clear need to find solutions to the problem. However, some gaps and problems appear in the methodologies and the common approaches used in the field. This article discusses five studies addressing affective development, challenges some…

Numerical understanding and arithmetic skills are easier to acquire for whole numbers than fractions. The "integrated theory of numerical development" posits that, in addition to these differences, whole numbers and fractions also have important commonalities. In both, students need to learn how to interpret number symbols in terms of…

A recent study in the USA documented the existence and growth of "excellence gaps" among students. These gaps are similar to the minimum competency achievement gaps that proliferate in policy discussions in many Western countries, but excellence gaps focus on the highest level of achievement rather than minimum competency. We extend this…

"When compared with high-achieving countries around the world, the U.S. appears to be significantly behind in providing certain kinds of professional learning opportunities" (Wei, Darling-Hammond, Andree, Richardson, & Orphanos, 2009, p. 39). The present study was designed to investigate the relationship between sustained, targeted…

TIMSS (Trends in International Mathematics and Science Study) is an international assessment of mathematics and science at the fourth and eighth grades that has been conducted every four years since 1995, with the most recent assessment in 2011. PIRLS (Progress in International Reading Literacy Study) is an international assessment of reading…

In this paper, two nationwide assessments for elementary and secondary students' educational achievement in Korea were reviewed for their assessment frameworks and the overall results; the Diagnostic Test for Basic Skills (DTBS) of Grade 3 elementary students and the National Assessment of Educational Achievement (NAEA) for Grade 6, 9 and 10…