Place value is one of the 'big ideas' in number and plays a critical role in helping students develop their number sense, problem solving and computation skills. Yet, the elegant simplicity of our place value system belies the abstract nature of the construct. This paper presents data from 606 Year 3-6 students (ages 8-12) from two metropolitan…

Block programming has been suggested as a way of engaging young learners with the foundations of programming and computational thinking in a syntax-free manner. Indeed, syntax errors--which form one of two broad categories of errors in programming, the other one being logic errors--are omitted while block programming. However, this does not mean…

The main purpose of this study was to validate the curriculum-based measure "Indicadores de Progreso de Aprendizaje en Matemáticas" (IPAM [Indicators of Basic Early Math Skills]) in a local, Spanish-speaking context. This tool has been designed to identify first-grade students at risk for mathematics learning disabilities. The IPAM…

The fact that there is no much study on reversibility is one of reason this study was conducted. Others, the importance of reversibility is also being researcher's motivation for focusing pupils' reversibility. On the other hand, the concern on pupils' reversibility is a major concern. The objective of this research is to identify errors done by…

The First Grade Pre-Screening is designed to be used at the start of the first grade school year so that teachers can obtain information about their incoming students. This information is intended to give teachers insight about what math and reading skills a student may or may not have at the beginning of the year. The information can aid teachers…

Recent changes to state laws on accountability have prompted school districts to design teacher performance evaluation systems that incorporate student achievement (student growth) as a major component. As a consequence, some states and districts are considering teacher value- added models as part of teacher performance evaluations. Value-added…

This article addresses likely error rates for measuring teacher and school performance in the upper elementary grades using value-added models applied to student test score gain data. Using a realistic performance measurement system scheme based on hypothesis testing, the authors develop error rate formulas based on ordinary least squares and…

Recent changes to state laws on accountability have prompted school districts to design teacher performance evaluation systems that incorporate student achievement (student growth) as a major component. As a consequence, some states and districts are considering teacher value-added models as part of teacher performance evaluations. Value-added…

This preliminary study described fourth grade students verbally solving a mathematics problem using a think-aloud protocol. Comments in the think aloud were categorized according to type (e.g., paraphrases and elaborations) and facilitative nature (i.e., whether the comments facilitated correct solution of the problem). Amount of the students'…

Spontaneous transfer of learning is often difficult to elicit. This finding may be widespread partly because pretests proactively interfere with transfer. To test this hypothesis, 7-year-olds' transfer was examined across 2 numerical tasks (number line estimation and categorization) in which similar representational changes have been observed. As…