Emerging Research Dimensions of Early Mathematics Education

Joanne Mulligan is Professor of Education, Macquarie University, Sydney, Australia. Her research expertise is early mathematics education research, curricula and assessment, and professional learning. Her current projects include longitudinal studies of early numeracy, spatial and statistical reasoning, and international research programs on ‘pattern and structure’.Camilla Björklund is Professor of Education, specialising in research on early numerical development and play-oriented pedagogy. Björklund worked in the years 2000-2011 at Åbo Akademi University, Finland with preschool teacher education. From 2010, she works at the University of Gothenburg, Sweden, where she first had a post-doc position, then senior lecturer and since 2017 full professor.Raimundo Olfos is a mathematics education researcher at the Pontificia Universidad Católica de Valparaíso, Chile. His background is in numbers, statistics, and algebra teaching and learning. He specialises in research in early and primary mathematical development and learning, teacher knowledge, teacher practice reflections, assessment and curricula.Douglas H. Clements, Distinguished University Professor and Kennedy Endowed Chair in Early Childhood Learning at the University of Denver, has published over 200 refereed research studies, 30 books, 107 chapters, and 300 additional works on the learning and teaching of early mathematics, computer applications, creating, using, and evaluating research-based curricula, and taking interventions to scale using technologies and learning trajectories.Julie Sarama, Distinguished University Professor, Kennedy Endowed Chair, and co-executive Director of the Marsico Institute at the University of Denver, conducts research on young children's development of mathematical concepts and competencies, implementation and scale-up of educational reform, professional development models and their influence on student learning, and implementation and effects of software environments in mathematics classrooms.

• Introduction.- 1. Pattern and structure; patterning.- 2. Counting and counting patterns.- 3. Number concepts and operations; multiplicative thinking; fractions.- 4. Space and geometry and spatial reasoning.- 5. Data representations and statistical reasoning.- 6. Learning theories, learning trajectories.- 7. Teaching and learning approaches.- 8. Early childhood and primary teacher knowledge and professional development; pre-service teacher education.- 9. Adult and family and caregiver engagement.