For this course there are three parts:
- A reading task of a research paper related to the numeracy learning progression sub-element being discussed in the course.
- A short quiz about the reading as part of the accreditation.
- A series of videos to view and questions to answer.
References
National Numeracy Learning Progression © Australian Curriculum, Assessment and Reporting Authority (ACARA) 2010 to present. This material was downloaded from the Australian Curriculum website (https://www.australiancurriculum.edu.au) (accessed 10 April 2019) and was not modified.
Bray, W. S., & Maldonado, L. A. (2018). Foster Fact Fluency with Number-String Discussions. Teaching Children Mathematics, 25(2), 86-93.
Cobb, P. (1987). An analysis of three models of early number development. Journal for Research in Mathematics Education, 163-179.
Fennema, E., Carpenter, T. P., Franke, M. L., Levi, L., Jacobs, V. R., & Empson, S. B. (1996). A longitudinal study of learning to use children’s thinking in mathematics instruction. Journal for research in mathematics education, 403-434.
Gervasoni, A., Parish, L., Hadden, T., Livesey, C., Bevan, K., …Turkenburg, K. (2012). The progress of Grade 1 students who participated in an Extending Mathematical Understanding intervention program. In J. Dindyal, L. P. Cheng, & S. F. Ng (Eds.), Mathematics Education: Expanding Horizons (Proceedings of the 34th annual conference of the Mathematics Education Research Group of Australasia) (pp. 306–313). Adelaide, SA: MERGA.
Humphreys, C. & Parker, P. (2015). Making Number Talks Matter: Developing Mathematical Practices and Deepening Understanding, Grades 4-10. Stenhouse Publishers. ISBN 978-1-57110-998-9
Kazemi, E., & Hintz, A. (2014). Intentional talk: How to structure and lead productive mathematical discussions. Stenhouse Publishers.
Olive, J. (2000). Children’s number sequences: An explanation of Steffe’s constructs and an extrapolation to rational numbers of arithmetic. The Mathematics Educator, 11(1).
Parrish, S. (2014). Number Talks: Whole Number Computation. Maths Solutions. ISBN 978-1-935099-65-9
Steffe, L. P., & Cobb, P. (1982). Stages in the construction of the counting scheme. Wagner (Ed.), Proceedings of the Fourth Annual Meeting of the North American Chapter the International Group for the Psychology of Mathematics Education (pp.64-77). Athens: University of Georgia, Department of Mathematics
Twomey Fosnot, C. & Dolk, M. (2001) Young Mathematicians at Work, Constructing Number Sense, Addition, and Subtraction. Heinemann. ISBN 978-0-325-00353-5
Common Misunderstandings – Level 2 Place-Value: https://www.education.vic.gov.au/school/teachers/teachingresources/discipline/maths/assessment/Pages/lvl2place.aspx
Developing Efficient Numeracy Strategies Part 1: https://education.nsw.gov.au/teaching-and-learning/curriculum/key-learning-areas/mathematics/Early-Stage-1-to-Stage-3/resources#tabs236122
Lessons from research Change is needed: https://slideplayer.com/slide/12920638/
Math Minds – Purposeful Warm-up Routines: https://kgmathminds.com/category/math/number-talks/
Number strings videos https://tedd.org/number-strings/
Primary Learning – Tradining in the algorithm: https://primarylearning.com.au/2019/04/15/trading-in-the-algorithm/
Stanford Online’s “How To Learn Math for Teachers and Parents”: Number Talks: https://www.youtube.com/watch?v=yXNG6GKFhQM
Top Drawer Teachers – Renaming to add and subtract: https://topdrawer.aamt.edu.au/Mental-computation/Good-teaching/Addition-and-subtraction/Standard-place-value/Renaming-to-add-and-subtract