References: Direct Instruction: Patterning

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References

Blanton, M. L., & Kaput, J. J. (2004). Elementary grades students' capacity for functional thinking. In Proceedings of the 28th Conference of the International Group for the Psychology Of Mathematics Education (pp. 135-142). PME.

Kapur, M. (2014). Productive failure in learning math. Cognitive Science, 38(5), 1008-1022.

Lannin, J. K. (2005). Generalization and justification: The challenge of introducing algebraic reasoning through patterning activities. Mathematical Thinking and Learning, 7(3), 231-258.

Rittle‐Johnson, B., Fyfe, E. R., Hofer, K. G., & Farran, D. C. (2017). Early math trajectories: Low‐income children's mathematics knowledge from ages 4 to 11. Child Development, 88(5), 1727-1742.

Su, H. F., Marinas, C., & Chraibi, C. (2008). Exploring numerical relationship through interactive numbered squares of differing sizes. In Proceeding of International Conference on Technology in Collegiate Mathematics (pp. 28-32). Pearson.

Su, H. F. H., Marinas, C., & Furner, J. (2011). Number sense made simple using number patterns. International Journal for Technology in Mathematics Education, 18(1), 39-49.

Su, H. F. H., Gates, D., Haramis, J., Bell, F., Manigat, C., Hierpe, K., & Da Silva, L. (2016). Number pattern. Transformations, 2(2), 61-87.