Introduction: Lyn English and Joanne Mulligan: Perspectives on Reconceptualising Early Mathematics Learning.- Chapter 1: Kristie J. Newton and Patricia A. Alexander: Early Mathematics Learning in Perspective: Eras and Forces of Change.- Chapter 2: Joanne Mulligan and Michael Mitchelmore: Early Awareness of Mathematical Pattern and Structure.- Chapter 3: Joanne Mulligan, Lyn English, Michael Mitchelmore, and Nathan Crevensten: Reconceptualising Early Mathematics Learning: The Fundamental Role of Pattern and Structure.- Chapter 4: Lyn English: Reconceptualising Statistical Learning in the Early Years.- Chapter 5: Herb Ginsburg: Cognitive guidelines for the design and evaluation of early mathematics software: The example of MathemAntics.- Chapter 6: Doug Clements and Julie Sarama: Rethinking Early mathematics: What Is Research-Based Curriculum for Young Children?.- Chapter 7: Bob Perry and Sue Dockett: Reflecting on Young Children's Mathematics Learning.- Chapter 8: Anita Wager: Practices that Support Mathematics Learning in A Play-based Classroom.- Chapter 9: Bert van Oers: Communicating about Number: Fostering Young Children's Mathematical Orientation in the World.- Chapter 10: Kristy Goodwin and Kate Highfield: A Framework for examining technologies and early mathematics learning.- Chapter 11: Marja van den Heuvel-Panhuizen and Iliada Elia: The role of picture books in young children's mathematical learning.- Chapter 12: Marina Papic: Improving numeracy outcomes for young Australian Indigenous children.- Chapter 13: Elizabeth Warren and Jodie Miller: Enhancing teacher professional development for early years mathematics teachers working in disadvantaged contexts.- Chapter 14: Heidi A. Diefes-Dux, Lindsay Whittenberg, and Roxanne McKee Mathematical modeling at the intersection of elementary mathematics, art, and engineering education.