This concise, digestible book shows how the cultivation of reason became the defining aim of western education, and critiques how this aim has been eclipsed in recent decades by the neoliberal system of mass schooling imposed by the state. Chapters outline succinctly the history of western education and its origins in Ancient Greece, demonstrating…

This paper discusses variation in reasoning strategies among expert mathematicians, with a particular focus on the degree to which they use examples to reason about general conjectures. We first discuss literature on the use of examples in understanding and reasoning about abstract mathematics, relating this to a conceptualisation of syntactic and…

This article explores historical reasoning, an important activity in history learning. Based upon an extensive review of empirical literature on students' thinking and reasoning about history, a theoretical framework of historical reasoning is proposed. The framework consists of six components: asking historical questions, using sources,…

How do children learn math--and why do some children struggle with it? The answers are in "Number Sense and Number Nonsense," a straightforward, reader-friendly book for education professionals and an invaluable multidisciplinary resource for researchers. More than a first-ever research synthesis, this highly accessible book brings math…