This essay argues for the importance of quantitative reasoning skills as part of a liberal education and describes the successful introduction of a mathematics-based quantitative skills course at a small Canadian university. Today's students need quantitative problem-solving skills, to function as adults, professionals, consumers, and citizens in…

Background: Longitudinal studies allow us to identify, which specific maths skills are weak in young children, and whether there is a continuing weakness in these areas throughout their school years. Aims: This 2-year study investigated whether certain socio-demographic variables affect early mathematical competency in children aged 5-7 years.…

The purpose of the study was to examine differences in early numerical competencies, as well as subtraction skill, as a function of children's mathematics difficulty (MD) status: computational difficulty (CD), word problem-solving difficulty (PD), concurrent difficulty (CDPD), or neither difficulty (i.e., typically developing; TYP). Based on…

A multiple baseline design across students was used to evaluate the effects of a taped numbers (TN) intervention on the number-identification accuracy of 4 kindergarten students. During TN, students attempted to name the numbers 0 through 9 on randomized lists before each number was provided via a tape player 2 s later. All 4 students showed…

Authentic assessment "refers to the systematic collection of information about the naturally occurring behaviors of young children and families in their daily routines" (Neisworth & Bagnato, 2004, p. 204). In formative assessments, the assessment information informs instruction. Formative assessments are given periodically and should be used to…

Gravemeijer's (1999, 2004) construct of a "local instruction theory" suggests a means of offering teachers a framework of reference for designing and engaging students in a set of sequenced, exemplary instructional activities that support students' mathematical development for a focused concept. In this paper we offer a local instruction theory to…

Number sense skills provide the foundation for the acquisition of higher order mathematical skills and concepts. However, there is disagreement over the definition of number sense, the specific skills that make up the construct, and the psychometric properties of measures used to assess these skills. In the current study, 10 brief tasks…

In Australia, as in other countries, school students participate in national literacy and numeracy testing with the resulting reports being sent to teachers and school administrators. In this study, the Theory of Planned Behaviour provides a framework for examining teachers' perceptions of factors influencing their intention to engage with these…

The aim of the study was to exemplify pupils' mastering of mathematical literacy. The study is a comparative multiple case study. In pupils' talk of mathematical activities aspects of mathematical literacy are discerned. A distinction is made between pupils: (1) pupils in mathematical difficulties, (2) pupils with another mother tongue than…

Few studies have investigated how preschool and primary school interact to influence children's cognitive development. The present investigation explores German children's numeracy skills between age 3 (1st year of preschool) and age 7 (1st year of primary school). We first identified the influence of preschool experience on development while…

Despite policy and theoretical support for mixed-age classrooms in early childhood, research examining associations between age-mixing and children's outcomes is inconclusive and warrants further investigation, particularly in preschools serving children who are at risk for poor adjustment to formal schooling. One recent study conducted in…

Response to intervention (RTI) is a framework in which interventions are implemented mostly in general education classes to resolve academic difficulties and help to mitigate contextual variables (i.e., lack of instruction, socio economic status, cultural differences, etc.) as an explanation for academic failure. The implementation of…

Indigenous Australians have been known to be disadvantaged in many ways although higher art and physical self-concepts have been reported with Indigenous samples. Given recent research demonstrating the reciprocal effects of achievement and self-concept in academic domains, Indigenous students may experience further disadvantages in both academic…

The introduction of negative numbers should mean that mathematics can be twice as much fun, but unfortunately they are a source of confusion for many students. Difficulties occur in moving from intuitive understandings to formal mathematical representations of operations with negative and positive integers. This paper describes a series of…

In this article, the author makes reference to four comic book characters to make the point that together they are a formidable team, but on their own they are vulnerable. She examines the four components of mathematics assessment items and the need for implicit instruction within the classroom for student success. Just like the "Fantastic…