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  6. References

ALiM 10: References

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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 http://conservancy.umn.edu/handle/115899

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.

 

Back to Resource 10: Shifting students from NZC Level 2 to Level 3 by developing multiplicative strategies