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DOUBLE TAP TO ZOOM WITH PHONE OR TABLET ACKNOWLEDGMENTS I would like to express my sincere gratitude to the many early childhood schools and educators that have been a part of my personal and professional life and who supported me throughout the writing of this book. The col- laboration and friendship that you demonstrated were fundamental to my work, and your dedication to the children and families you serve is inspira- tional. The following schools opened their hearts and resources to me and played an important part in my ability to apply the Mathematizing for Learn- ing Process approach in their settings. They include: Belmont-Cragin Early Childhood Center, Albany Park Community Center, Chinese American Ser- vice League, Erie Neighborhood House, Josiah L. Pickard Elementary School, Carole Robert­son Center for Learning, Family Home Daycare, and Laurance Armour Day School. A special thanks to Reggio Emilia approach practitioners in Italy and the United States for their ability to create spectacular learning environments for children and for sharing their perspectives with the field. I became a Reggio Emilia-inspired practioner in the mid ’90s after watching To Make a Portrait of a Lion and have followed their work ever since. Thank you for your com- mitment to the field. I am also grateful to Erikson Institute’s Early Math Collaborative team for their excellent work with early childhood schools in Chicago and for allowing me to participate in the collaborative as a coach and consultant. The math professional development, research, and dissemination practices I experi- enced in the collaborative strengthened my math practices and inspired me to share those perspectives with the field. A special thanks to my editors Todd R. Berger, David Heath, Douglas Schmitz, and everyone at Redleaf Press for their patience, collaboration, and professionalism. Lastly, I give a heartwarming thank-you to all of the teachers, children, and families that allowed me to observe and document their learning prac- tices and processes. I hope my documentation work in this book captured the essence of the mathematizing interactions you experienced at your schools. ix COPYRIGHTED MATERIAL