Oliver Thiel is Associate Professor at Queen Maud University College for Early Childhood Education, Norway.Elena Severina is Associate Professor at Western Norway University of Applied Sciences, Norway.Bob Perry is Emeritus Professor, Charles Sturt University, Australia.

• Foreword 1 Reflexivity and early childhood mathematics education: Applying Bishop’s universality to vignettes of young children’s learning Part 1 Explaining 2 ‘One potato, two potatoes…’: Mathematics in an outdoor setting Part 2 Counting 3 ‘Even bigger than this world’: Young children thinking about numbers through their mathematical graphics 4 ‘Let’s roll the dice’: Exploring amounts, counting, transcoding and the investigation of invariance and variance Part 3 Measuring 5 Harry’s line work 6 ‘It’s a lot of work’: A tailor’s measuring tape in the dollhouse Part 4 Locating 7 Fantastic Mr Fox 8 Ghost stairs and a ghost tree Part 5 Designing 9 Building bridges between maths and arts 10 Geometry learning of children in digital activities Part 6 Playing 11 ‘This is the safe. It has a number and no one else knows it’: Playing with mathematics Part 7 Conclusion 12 Reaping the benefits of reflexive research and practice in early childhood mathematics education: Continuing the conversation

"This relevant and timely book situates research and practice in the field of early childhood education. Its international context demonstrates the power of collaborative study and writing. The mathematical content is structured by using Bishop’s six universal activities. Connecting these mathematical ideas with classroom activities offers the reader a novel perspective on both early childhood research and practice." - Alan J. Bishop, Emeritus Professor, Monash University, Australia