Brickwedde, J. (2011). “Transitioning from Additive to Multiplicative Thinking: A Design and Teaching Experiment with Third through Fifth graders.” University of Minnesota Ph.D. dissertation. Accessed from

Davis, B. (2008). “Is 1 a prime number? Developing Teacher Knowledge through Concept Study”. Mathematics Teaching in the Middle School, 14 (2), pp. 86–91.

Young-Loveridge, J. (2005). “A Developmental Perspective on Mathematics Teaching and Learning: The Case for Multiplicative Thinking. Teachers & Curriculum, 8, pp. 49–58.

Young-Loveridge, J. and Mills, J. (2009). “Teaching Multi-digit Multiplication Using Array-based Materials”. in R. Hunter, B. Bicknell, and T. Burgess (eds) Crossing Divides, Proceedings of the annual conference of the Mathematics Education Research Group of Australasia (pp. 635–42), Wellington, NZ.

Young-Loveridge, J. (2005) “Fostering Multiplicative Thinking Using Array-based Materials”. Australian Mathematics Teacher, 61 (3), pp. 34–40.


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