For the last 30 years the Symposium on Elementary Mathematics Teaching (SEMT) has provided cutting edge excellence in research in elementary school mathematics education. From this wealth of material this book encapsulates the trends and explores how its plenary and research papers engage with more general research for the wider mathematics education community. Trends across time are exposed and investigated while aspects of research into elementary mathematics teaching and learning are particular foci. With a diverse and truly global list of outstanding authors, this book grounds the presentations of SEMT in current practices world-wide. Each chapter features worked examples, case studies, activities, as well as a wealth of references on all topics canvassed by the authors. Furthermore each chapter is embedded within its historical setting. Together this book is an outstanding contribution to the literature on elementary mathematics education.