Assessing young children's arithmetical strategies and knowledge: providing learning opportunities for teachers

Two interrelated initiatives in early numeracy are briefly described--the Count Me In Too Project in New South Wales, and Mathematics Recovery. The article then focuses on an approach to student assessment which is used in both initiatives. This approach enables teachers to better understand young children's early arithmetical strategies and knowledge. The approach is described in three parts: Part A focuses on initial strategies for addition or subtraction; for example, counting-from-one, counting-on, using finger patterns, and using strategies other than counting by ones. Part B focuses on strategies to solve two-digit subtraction and strategies for incrementing by tens and ones. And Part C focuses on strategies for early multiplication and division. Following this, the strategies which have been described in each part are discussed in terms of their relative sophistication. The discussion includes links to relevant literature and issues relevant to the teaching of early numbers. The conclusion lists six important points about early number teaching and learning.
Count Me In Too (CMIT) (Bobis & Gould, 1998, 1999, 2000; NSW Department of Education and Training, 2000) is a systemic initiative operating in NSW government schools since 1996, which [...]