Recent research has revealed new information about how preschoolers develop an understanding of counting, and offers exciting new strategies for teaching. These new strategies encourage children to problem solve and use reasoning to understand quantities and how counting works rather than simply providing them practice with counting procedures.…

A conceptual knowledge of numbers, especially fractions, is an important link to a conceptual understanding of variables. This article suggests activities that explicitly show the connections between numbers and variables using the number line as the connecting device. (Contains 7 figures and a bibliography.)

A learning-set procedure was used to teach the oddity principle, insertions into series, and number conservation to 85 kindergarten children who did not grasp these abstractions. Control groups were given lessons in kindergarten literacy, numeracy, or art in sessions matched in timing and extent. The children who were taught the principles of…

Few researches have been concerned about relation between children's spatial thinking and number sense. Narrowing for this small research, we focused on one component of spatial thinking, that is structuring objects, and one component of number senses, that is cardinality by determining quantities. This study focused on a design research that was…

This paper explores the impact of the "Bridging the Numeracy Gap Project" on the whole-number learning of Prep and Grade 1 students living in a low Socio-Economic Status (SES) community. The findings suggest that an approach that includes a specialist mathematics teacher who provides specialised programs for mathematically vulnerable…

In adult education, algebraic thinking can be a sense-making tool that introduces coherence among mathematical concepts for those who previously have had trouble learning math. Further, a modeling approach to algebra connects mathematics and the real world, demonstrating the usefulness of math to those who have seen it as just an academic…

Addressing literacy and numeracy as social practices in different teaching content areas create challenges for teachers and teacher education. Literacy and numeracy skills and understandings are generally addressed incidentally in teacher education courses and often overlooked by teachers in secondary schools. This paper reports on a study which…

This paper describes and theorizes principals' support for teacher professional development ("PD") during a time of strong provincial pressure for an increased focus upon literacy, numeracy, and improvements in standardized test scores in elementary schools in Ontario, Canada. The paper draws upon semi-structured interviews with 12…

This paper provides an account of professional learning in action through documenting the experiences of three upper primary teachers as they engaged in reflection-on-action with the assistance of an academic mentor. Video-stimulated recall was used as a mechanism to encourage productive reflective practice, using video footage of each teacher's…

The authors compared the performance of students who received integration of number sense activities in instruction with students who received instruction using regular mathematics textbooks. Two classes of third-grade students (N = 60) were randomly assigned to experimental and control groups. Students in each group were given a pretest, post I…

Four experiments were conducted in order to examine effects of notation--Arabic and verbal numbers--on relevant and irrelevant numerical processing. In Experiment 1, notation interacted with the numerical distance effect, and irrelevant physical size affected numerical processing (i.e., size congruity effect) for both notations but to a lesser…

Objective: In this study, the authors investigated whether ADHD and oppositional defiant disorder (ODD) behaviors share associations with problems in cognitive functioning and/or family risk factors in adolescence. This was done by examining independent as well as specific associations of cognitive functioning and family risk factors with ADHD and…

"Research Messages 2013" provides a summary of the research published in 2013 by the National Centre for Vocational Education Research (NCVER) in the following broad categories: (1) skills and productivity: from VET qualifications to higher-level qualifications and issues affecting the workforce; (2) social inclusion and participation in…

The goal of this study was to investigate understanding of inservice elementary school teachers in Taiwan about number sense, teaching strategies of number sense and the development of number sense of students; and the profile of integrating number sense into mathematical instruction , and teaching practice. Data was gathered through interviews of…

The National Partnership Agreement for Indigenous Early Childhood Development (COAG 2008a) aims to halve the gap in mortality rates for Indigenous children under five within a decade, halve the gap for Indigenous students in reading, writing and numeracy within a decade, and ensure all Indigenous 4-year-olds have access to quality early childhood…