The aim of this study was to investigate the quality of the Annual National Assessment (ANA) Grade 6 Mathematics assessment instrument, administered in the year 2012 guided by the main question: to what extent does the 2012 Grade 6 Mathematics assessment instrument provide meaningful and consistent information for making appropriate…

Problem Statement: Algebra, which is one of the basic principles of mathematical learning, still maintains its importance in mathematics programmes. However, especially starting from the primary school years, algebra represents a complex mathematical factor in the operational stage for many students. In this scope, a differentiated teaching…

In teaching, representations are used as ways to illustrate the concepts underlying a specific topic. For example, use symbols (e.g., 1?+?2?=?3) to express the concept of addition. To compare students' abilities to interpret different representations in mathematics, the symbolic representation (SR) test and the pictorial representation (PR) test…

While most educators assume that not all students try their best on achievement tests, no current research examines if behaviors associated with low test effort, like rapidly guessing on test items, affect teacher value-added estimates. In this article, we examined the prevalence of rapid guessing to determine if this behavior varied by grade,…

Given the key role of conversions of representations for mathematical understanding, it is highly relevant to investigate in detail competencies regarding conversions of representations. In particular, a corresponding competence model should not only be developed theoretically, but also examined empirically. However, such empirical studies are…

This article describes how a detailed notebook analysis was used to assess and compare the opportunity to learn of a sample of grade 6 students from 126 classes in South East Botswana and North West Province, South Africa. Students' mathematics notebooks provided the main data source for estimating how much time is spent on the subject during the…

A strong understanding of fractions is vital to later success in mathematics. However, research has consistently shown that fractions are one of the most difficult mathematical concepts for elementary school students to master. To attempt to remedy this deficit, the authors began a project called Helping At-risk students Learn Fractions (HALF) in…

"Louisiana Believes" embraces the principle that all children can achieve at high levels, as evidenced in Louisiana's recent adoption of the Common Core State Standards (CCSS). "Louisiana Believes" also promotes the idea that Louisiana's educators should be empowered to make decisions to support the success of their students.…

Math Snacks animations and support materials were developed for use on the web and mobile technologies to teach ratio, proportion, scale factor, and number line concepts using a multi-modal approach. Included in Math Snacks are: Animations which promote the visualization of a concept image; written lessons which provide cognitive complexity for…