A common theme of models of conceptual growth is to establish the hierarchical structures of abilities that can be interpreted along developmental lines. Integrating the literature on the development of mathematical concepts and skills in children, a comprehensive 6 level model for describing, explaining and predicting the development of key…

The current study examined the development of two effects that have been found in single-digit multiplication errors: relatedness and distance. Typically achieving (TA) second, fourth, and sixth graders and adults, and sixth and eighth graders with a mathematics learning disability (MLD) performed a verification task. Relatedness was defined by a…

In this article we describe the design process for an after-school Grade 3 mathematics club, based on our experiences running a pilot club in a 2011 research and development project. Working from a sociocultural perspective, we show the progression from an initial multifaceted design to a much simpler, more learner-centred design that speaks…

Canada's knowledge-based economy--especially the fields of science, technology, engineering and mathematics (STEM)--continues to grow. Related changes in the economy, including shifts to globalized markets and an emphasis on innovation and technology, all mean that education is more and more an integral component of economic and social well-being.…

This paper is presented in two parts. Through an example the first part takes up the issue of applying mathematics to situations that form part of the life context of students--the priority expressed in three curriculum statements presented. Then, noting the particular point in time--development of a National Curriculum for Mathematics--the second…

Are students well prepared to meet the challenges of the future? Can they analyse, reason and communicate their ideas effectively? Have they found the kinds of interests they can pursue throughout their lives as productive members of the economy and society? The OECD Programme for International Student Assessment (PISA) seeks to answer these…

Using multitrait, multimethod data, and confirmatory factor analysis, the current study examined the effects of arithmetic item formatting and the possibility that across formats, abilities other than arithmetic may contribute to children's answers. Measurement hypotheses were guided by several leading theories of arithmetic cognition. With a…

A basic level of literacy and numeracy is essential for full participation in modern societies. While very few people in most of the advanced countries could be regarded as illiterate or innumerate, recent studies have shown that there are, in fact, significant numbers of people with poor skills, and that low levels of skills are associated with…

This article presents a lesson that focuses on numeracy. In the lesson, students were tasked to find the best path for a new expressway. The purpose of the activity was for students to gain an appreciation of the complexities associated with designing public infrastructure and to put into practice the mathematical skills. This article also…

This paper examines the performance of the eight major occupational categories across the four skill areas of the Adult Literacy and Life Skills Survey. The results indicated that some 38-64% of employed Australians were below minimal competence (at Level 1 or Level 2) in one of the four skill areas of prose literacy, document literacy, numeracy…

Proportional reasoning involves the use of ratios in the comparison of quantities. While it is a key aspect of numeracy, particularly in the middle years of schooling, students do not always develop proportional reasoning naturally. Research suggests that many students do not apply proportional methods appropriately and that they often erroneously…

Many people go for training to upgrade their skills which is hoped to pave the way for better pay. But what are the kinds of skills that really affect wages? Employers have emphasized the value of generic skills such as interpersonal and communication skills, teamwork and problem solving. Does possession of these skills translate to at least the…

The purpose of this study was to determine whether multiple-choice and constructed-response items assessed prospective secondary mathematics teachers' understanding of the concept of function. The conceptual framework for the study was the Dreyfus and Eisenberg (1982) Function Block. The theoretical framework was Sierpinska's (1992, 1994)…

This article describes a unit of work that was designed for a Year 9 class of mixed ability and which involved the definition and measurement of angles, as well as the practical application of angle properties--such as complimentary angles and the relationships in a transversal. The unit considered the numeracy skills required to interpret a…

The purpose of this study was to determine the efficacy of specific, individualized training for students with different levels of mathematical difficulties. Fifty-four students, with either severe or mild math difficulties, were assigned to individualized training or to a control condition. Ten students with severe math difficulties…