In a 9-month training experiment, 64 first graders with a risk factor were randomly assigned to computer-assisted structured discovery of the add-1 rule (e.g., the sum of 7 + 1 is the number after "seven" when we count), unstructured discovery learning of this regularity, or an active-control group. Planned contrasts revealed that the…

This paper challenges the emphasis on counting in New Zealand's Numeracy Development Project (NDP), arguing that subitizing provides an alternative pathway to quantification. Longitudinal data is presented showing that children's subitizing skills at the age of five years were a strong predictor of their later success in mathematics at the age of…

The research reported in this article was conducted from a socio-environmental perspective on learners' school readiness when entering Grade 1, as well as their school performance in Grade 1 and again in Grade 4. The relation between school readiness and performance in Home Language and Numeracy in Grade 1, and performance in the same learning…

Selecting the best students and hiring the best social workers are important professional responsibilities. Findings from this exploratory study identify personal attributes that are significant in enabling MSW students and social work employees to succeed. Social work educators and agency administrators generally agree that personal attributes…

An essential part of understanding number words (e.g., "eight") is understanding that all number words refer to the dimension of experience we call numerosity. Knowledge of this general principle may be separable from knowledge of individual number word meanings. That is, children may learn the meanings of at least a few individual number words…

This viewpoint paper presents the writer's opinion that while the use of problem solving as the core method for learning mathematics is valid and reasonable in secondary schools (where students generally possess the necessary prior skills and strategies) there are many obstacles to applying the same method in primary schools, particularly in the…

This paper uses a narrative constructed from diary entries made over the course of a year teaching English as a platform for examining some of the political, economic, educational and socio-cultural contexts into which the Digital Education Revolution (DER) was launched as policy. It analyses the underlying imperatives, components and balance of…

This paper provides an overview of assessment policy and practice in mathematics for early years classrooms in New Zealand between 1993 and the present day. It describes the introduction of school entry assessment for children starting school at age five. A numeracy initiative, the Numeracy Development Projects (NDP), for students in Years 1-10…

The purpose of this study was to use multilevel modeling to compare the effects of KPALS alone and combined with goal setting and reinforcement to a control condition on early numeracy performance of 96 kindergarteners. Demographic variables were examined as moderators. Results differed according to early numeracy measure, with both versions of…

Young children must develop basic concepts of numeracy--one being that numbers have magnitudes that increase linearly--before they are able to succeed in mathematics. Children from low-income families have been found to be at a greater disadvantage in the development of numeracy, but this disadvantage can be overcome through the use of a simple…

The "Extending Mathematical Understanding" (EMU) Program is a specialised mathematics program that aims to accelerate the learning of Grade 1 students who struggle with learning school mathematics. Forty-two students participated in an EMU Program in 2010 as part of the "Bridging the Numeracy Gap" (BTNG) project. Analysis of…

Ten years ago, the author wrote a short piece entitled "Mathematics and numeracy--Is there a difference?". In mathematics, many put an emphasis on the content concepts and skills contained typically in strands such as Algebra, Number, Geometry, etc. Others argued that "mathematics" was about the "search for pattern" and that the key elements of…

In a recent study, Gevers and colleagues (2010, "Journal of Experimental Psychology: General," Vol. 139, pp. 180-190) showed that the SNARC (spatial numerical association of response codes) effect in adults results not only from spatial coding of magnitude (e.g., mental number line hypothesis) but also from verbal coding. Because children are…

The purpose of this study was to extend the research on the "Tests of Early Numeracy Curriculum-Based Measurement" (TEN-CBM) tools by examining concurrent and predictive relations from kindergarten through third grade. Using a longitudinal sample of 535 students, this study included logistic regression, latent cluster, and latent…

We present a comparative study of a literature review of 326 selected contributions (Buteau, Marshall, Jarvis & Lavicza, 2010) to an international (US, UK, Hungary) survey of mathematicians (Lavicza, 2008) regarding the use of Computer Algebra Systems (CAS) in post-secondary mathematics education. The comparison results are organized with respect…