Upon successful completion of the course, students will be able to: discuss how the principles of early childhood education and mathematical concepts interact when teaching mathematics to young children; describe the mathematical concepts of number sense, number systems and their properties, computational estimation, as well as algebraic concepts (e.g., patterns, functions, using concrete objects to represent mathematical relationships), geometric figures and their properties, measurement, and data analysis (e.g., probability, graphing); develop effective units and lessons that align with state and national mathematics standards; develop lessons that incorporate various forms of communication as young children  develop mathematics knowledge and skills; apply effective and developmentally appropriate instructional strategies to help all students learn mathematics, including the use of technology; use a variety of developmentally appropriate assessment tools that align with early childhood education curriculum and instruction; plan lessons that address student diversity and various approaches to learning; incorporate technology into mathematics lessons and units; and provide instruction that teaches early learners to use their mathematical skills in many different situations and applications to solve real life problems.