1. understanding proportional reasoning of pre-service teachers Open Access Author: Johnson, Kim Helene Title: understanding proportional reasoning of pre-service teachers Graduate Program: Curriculum and Instruction Keywords: proportional reasoningpre-service teachersratioproblem solving File: Download Johnson_Dissertation_072413.pdf Committee Members: Rose Mary Zbiek, Dissertation Advisor/Co-AdvisorAndrea Vujan Mccloskey, Dissertation Advisor/Co-AdvisorMary Kathleen Heid, Committee MemberNona Ann Prestine, Special Member