One of the capabilities needed for effective participation in modern society is numeracy, which is the ability to cope effectively with the mathematical demands of life. While the development of numeracy continues beyond the school years, schools nevertheless have a responsibility to provide opportunities for students to expand their numeracy…

This article provides an overview of effective instructional strategies and interventions for kindergarten and first-grade students at risk in mathematics. The article reviews instructional strategies and interventions within a multitier instructional model in order to provide a framework for teachers and schools looking to increase the…

This article presents a snapshot of the mathematical competencies of children aged four to five years in Australian early childhood education settings, as perceived by their educators. Data are presented from a nationally-representative sample of 6511 children participating in the Longitudinal Study of Australian Children (LSAC). The results…

Patterning, or the ability to understand patterns, is a skill commonly taught to young children as part of school mathematics curricula. While a number of studies have demonstrated that patterning is beneficial for young children acquiring mathematical skills, little research exists that examines the cognitive components of the skill. It seems…

There is increasing pressure to make pathways to higher education more accessible to students from a wide range of backgrounds, including those from lower socioeconomic circumstances. Often, those students gain vocational qualifications but those qualifications do not always support them fully to articulate to higher education. This is, at least…

Advances in technology and communication have increased the amount of statistical information delivered through everyday media. The importance of statistics in everyday life has led to calls for increased attention to statistical literacy in the mathematics curriculum (Watson 2006). Gal (2004) sees statistical literacy as the need for students to…

A multiple baseline design was used across probe sets to evaluate the effect of detect, practice, and repair (DPR) on the math fact fluency rates of a third-grade class. DPR was applied with a large group (n = 11) selected from an intact class (n = 17) in a manner that allowed each student to work on specific problems from a specific basic fact…

The research literature has made calls for greater coherence and consistency with regard to the meaning and use of the term advanced mathematical thinking (AMT) in mathematics education (Artigue, Batanero, & Kent, 2007; Selden & Selden, 2005). Educators and researchers agree that students should be engaged in AMT but it is unclear…

Noticing young children's mathematics can involve talking to them and watching as they undertake mathematical tasks or answer questions. Interviews are a key methodology for researchers who focus on young children's mathematical learning, providing opportunities to notice what children are doing and gain insights into their thinking. This paper…

This module examines Rigor, the third of the three shifts required for implementation of the Common Core State Standards for Mathematics (CCSSM). This module is based on the premise that the information from Modules 1 and 2 is well understood. Course Objectives: By the end of the module, the learner will be able to: (1) identify the components of…

This paper explored the authors' concerns about students enrolled in their introductory accounting course. Anecdotal evidence suggested that students struggle with basic arithmetic concepts that underlie basic business transactions even though their math placement and ACT scores are high. A survey of 125 students in a first accounting course was…

By giving early adolescents in their last 2 years of primary/elementary schooling opportunities to voice their ideas, teacher educators, school leaders, and teachers gain insight into how children view their mathematics learning. This article explores the views and aspirations of 34 11- to 13-year-old students from a range of socioeconomic schools…

The aim of this study was to determine pre-school teachers' beliefs about teaching mathematics to young learners. In this context, we compared preschool teachers' beliefs with mathematical learning, talent-development-age appropriateness for mathematical learning, the nature of mathematics, the curriculum, teacher efficacy, and the teacher's role…

Individual differences in number sense correlate with mathematical ability and performance, although the presence and strength of this relationship differs across studies. Inconsistencies in the literature may stem from heterogeneity of number sense and mathematical ability constructs. Sample characteristics may also play a role as changes in the…

The present study examines how attending the German model project "Kindergarten of the Future in Bavaria" (KiDZ), which provided 138 children (aged 3 to 6) with traditional preschool stimulation combined with cognitive and domain-specific stimulation, is associated with children's competencies in mathematics over time to age 12 compared…