A widely cited paper by Constance Kamii even suggests that teaching of basic arithmetic methods is harmful to learning, and guided the thinking behind many of today's commonly used mathematics teaching curricula.
This work can be seen in Physical Knowledge in Preschool Education (1978) and Group Games in Early Education (1980), (which she wrote with Rheta Devries ), and Number in Preschool and Kindergarten (1982).
Some curricula incorporate research by Constance Kamii and others that concluded that direct teaching of traditional algorithms is counterproductive to conceptual understanding of math.
She has co-wrote many books along with Constance Kamii, concerning early childhood education curriculum that both influenced the field of early childhood mathematical instruction and accelerated the proliferation of constructivist-based teaching in the classroom.
Some researchers such as Constance Kamii have suggested that elementary arithmetic, as traditionally taught, is not appropriate in elementary school.
The Harmful Effects of Algorithms in Grades 1–4 is a research paper published in the NCTM 1998 Yearbook and written by Constance Kamii and Ann Dominick.
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