This document presents a review of evidence commissioned by the Education Endowment Foundation to inform the guidance document "Improving Mathematics in Key Stages Two and Three" (Education Endowment Foundation, 2017). The review draws on a substantial parallel study by the same research team, funded by the Nuffield Foundation, which…

In the renewed "Primary Framework for Mathematics" for England, great emphasis is given to calculation and its prerequisites (DfES, 2006). Expectations are increased for calculations and the recall of number facts, with mental calculation owning a higher profile, while progression in written calculation is clarified. The greater focus on…

In this paper we develop our theory of "Bi-numeracy" and show the importance of children's own invented symbolism. Most studies to date have concentrated on the analysis of children's number representations in clinically set-up tasks (Hughes, 1986; Sinclair, 1988; Munn, 1994). These studies have added to our knowledge of and…

Three studies involving 4-year olds and 5-year olds from Hong Kong (samples of 36, 10, and 12) and the United States show that Chinese children surpass their English and American counterparts in rote counting and place value numeration as well as embedded ten-cardinal understanding. Implications are discussed. (SLD)

In 2001, with funding of $7 million, the Australian Government implemented the "Numeracy Research and Development Initiative"--one of several initiatives introduced by the Australian Government to support literacy and numeracy improvement. Other initiatives included the "National Indigenous English Literacy and Numeracy…