In many classrooms, students solve problems posed by others--teachers, textbooks, and test materials. These problems typically describe a contrived situation followed by a question about an unknown that students are expected to resolve. Unsurprisingly, many students avoid reading these problems for meaning and instead engage in a suspension of…

The present research focuses on the psychometric properties of the Birthday Party measure for ages 3-5. The Birthday Party was developed to provide a reliable, valid, and engaging measure of early mathematical content--Number and Operation, Shape, Space, and Pattern--that can be given in either a short or a long form to English and Spanish…

With ongoing concerns about environments that push teachers toward increasingly structured assessments, thus reducing opportunities to observe young learners' mathematical capabilities, the publication of this special issue on formative assessment is especially significant and timely. The articles illustrate how we cannot rely solely on…

This paper presents the outcomes of the work of the ICME 13 Survey Team on "Conceptualisation and the role of competencies, knowing and knowledge in mathematics education research". It surveys a variety of historical and contemporary views and conceptualisations of what it means to master mathematics, focusing on notions such as…

One of the important questions for any educator is, "How can I teach difficult and abstract concepts in a way that connects with students' real life?". This is especially true in the senior years, when students are often confronted with ideas that don't appear relevant to their lives, are primarily explainable using mathematics rather…

By the time they reach middle school, all students have been taught to add fractions. However, not all have "learned" to add fractions. The common mistake in adding fractions is to report that a/b + c/d is equal to (a + c)/(b + d). It is certainly necessary to correct this mistake when a student makes it. However, this occasion also…

Two experiments were conducted to investigate the effects of expecting immediate grades on numerical and verbal reasoning performance and the moderating role of achievement goals. Anticipated grade proximity (immediate vs. 1 week later) and goal orientation (approach vs. avoidance) were manipulated with instructions. Experiment 1 showed that…

Research has yet to make measurable progress toward understanding how to help students with math learning disabilities (MLDs) overcome their persistent difficulties. Prior research has traditionally framed MLDs as cognitive deficits and studied these deficits by analyzing failing students' errors. In this paper, we provide an alternative. We…

In order to address concerns with the underrepresentation of spatial thinking in K-12 curricula, (National Research Council, 2006), Valentine and Kopcha (in press) designed and implemented a learning environment integrating cases as alternative perspective (Jonassen, 2011) in the context of eighth-grade mathematics. The design aimed to provide…

Spatial ability predicts performance in mathematics and eventual expertise in science, technology and engineering. Spatial skills have also been shown to rely on neuronal networks partially shared with mathematics. Understanding the nature of this association can inform educational practices and intervention for mathematical underperformance.…

Although creativity has long been recognized as an important aspect of mathematical thinking, both for the advancement of the field and in students' developing expertise in mathematics, assessments of student creativity in that domain have been limited in number and focus. This article presents an assessment developed for creativity that…

The presentation challenges a frequently-expressed assertion: "There is no single, authoritative perspective or definition of creativity [in mathematics]" Kattou et al. (2011). It points to difficulties resulting from using accepted definitions in educational research (Wallas, 1926; Thorance, 1975). In this paper, the authors express…

Defined as language, literacy and numeracy, and employability skills, foundation skills are essential for individuals to participate in further education, employment and wider society. Community education providers, such as community colleges, neighbourhood houses, faith-based organisations and adult learning associations, are key providers of…

The measurement of self-regulation in young children has been a topic of great interest as researchers and practitioners work to help ensure that children have the skills they need to succeed as they start school. The present study examined how a revised version of a commonly used measure of behavioral self-regulation, the…

Algebra is the fundamental language of mathematics, and a profound understanding of school algebra is an important prerequisite for further studies in mathematical sciences. The aim of this study is to characterize the algebraic competence of the Norwegian upper secondary school students participating in Trends in International Mathematics and…