Arithmetic is still hugely important in many aspects of modern life, but our personal attitudes
to it differ greatly. Many people struggle with the basic principles of arithmetic, whilst others …

We report three studies that investigate young children's ability to solve partitive division
problems when presented with a concrete model of a problem. In the studies, 5-to 8-year …

It is one thing to be able to count and share items proficiently, but it is another thing to know
how counting and sharing establish and identify quantity. The aim of the study was to identify …

Two experiments are described that investigate the ability to infer the number of items in one-
to-one corresponding sets for two age groups. We assess the influence of set size, the …

Why I wrote this book and how you can get the most out of reading it Having taught
undergraduate and postgraduate students for many years, and supervised innumerable final …

Investiga-se o entendimento intuitivo que crianças entre 5 a 7 anos de idade têm da divisão
partitiva envolvendo quantidades contínuas em tarefas em que tenham que estimar o valor …

Shadows of the Truth: Metamathematics of Elementary Mathematics Page 1 Alexandre V.
Borovik Shadows of the Truth: Metamathematics of Elementary Mathematics Working Draft …

The traditional long division assumes that users can apply a guess-and-match type mental
process of searching for a maximum that is not greater than the dividend. This optimisation …

Metamathematics of Elementary Mathematics Borovik, Alexandre 2008 MIMS EPrint:
2008.36 Manchester Institute for Mathematical Sc Page 1 Metamathematics of Elementary …

This paper focuses on a study with 4-and 5-year-olds children understanding of partitive
division when discrete quantities are involved. The study analyse how young children …