This textbook's goal is to train and develop the mind by means of the science of numbers. This work is designed both for primary and advanced classes. The first part is adapted to beginners, while the latter part is peculiarly fitted to give to the more advanced student that thorough mental drilling in the analysis of numbers, which furnishes the…

This textbook's goal is to train and develop the mind by means of the science of numbers. This work is designed both for primary and advanced classes. The first part is adapted to beginners, while the latter part is peculiarly fitted to give to the more advanced student that thorough mental drilling in the analysis of numbers, which furnishes the…

This textbook's goal is to train and develop the mind by means of the science of numbers. Numbers are the instruments here employed to strengthen the memory, to cultivate the faculty of abstraction, and to sharpen and develop the reasoning powers.

The aim of this study was to ascertain the nature of the interaction between the affective value of musical distraction, personality type and performance on the cognitive tasks of reading comprehension, free recall, mental arithmetic and verbal reasoning in children aged 11-12 years. It was hypothesized that the cognitive performance of extraverts…

This paper reports the teacher actions that promoted the development of students' mental computation. A Year 3 teacher engaged her class in developing mental computation strategies over a ten-week period. Two overarching issues that appeared to support learning were establishing connections and encouraging strategic thinking. (Contains 2 figures.)…

This article reports on the English National Numeracy Strategy (NNS) and, in particular, on the way in which children aged from 8- to 11-years-old view "interactive whole class teaching". A qualitative, grounded study of both teachers' and children's perceptions of interactive teaching was undertaken, making use of "video stimulated…

The present study compared the relative effects of 2 educational programs on kindergarten children. The experimental group took part in a numeracy-specific program, which focused on conceptual knowledge. Children were taught basic numerical skills such as understanding and handling numbers and their relations as well as counting principles. The…

In this article, the author presents the results of a state project that focused on the effect of developing informal written computation processes through Years 2-4. The "developing computation" project was conducted in Tasmania over the two years 2002-2003 and involved nine schools: five government schools, two Catholic schools, and…

The focus of this study was to investigate mental computation conceptual frameworks that Heirdsfield (2001c) formulated to explain the difference between proficient (accurate and flexible) mental computers and accurate (but not flexible) mental computers. A further aim was to explore the potential for students' developing efficient mental…

In 1998 the authors published research with NFER (National Foundation for Educational Research) "Family Numeracy Adds Up" showing how parents and children had gained from fourteen pilot family numeracy programmes. It showed strong evidence of the double benefits of work with families. Children have an early boost in their learning and…

To develop their logico-mathematical foundation of number as described by Piaget (1947/1950, 1967/1971, 1971/1974), 26 low-performing, low-SES first graders were given physical-knowledge activities (e.g., Pick-Up Sticks and "bowling") during the math hour instead of math instruction. During the second half of the school year, when they showed…