Higher-degree research being undertaken by Kristen Tripet

Degree:

EdD

Supervisor:

Janette Bobis and Jenni Way

Thesis title:

Developing computational fluency in multi-digit multiplication.

Email:

ktri0618@uni.sydney.edu.au


Project description

The focus of the twentieth century mathematics classroom was dominated by the learning and practice of rote computational methods. Today, with machines that are able to perform complex algorithmic calculations efficiently and quickly, the focus must now shift from that of pure recall of taught methods to a deep understanding of how mathematics works, encouraging the use of flexible approaches to completing arithmetic calculations and problem-solving. Multi-digit multiplication is still predominately taught using a standard algorithm, sacrificing understanding for ease of marking and efficient use of paper. Research reveals that learners move through a progression of understanding on the pathway to computational fluency which is not allowed for in the early introduction of rote algorithms (Fusion, K. (2003). Learning for fluency needs to be supported by concrete materials and visual representations before moving to more abstract symbolization and independent methods. This research aims to address the development of students' understanding and fluency in multi-digit multiplication. It will focus on teaching multi-digit multiplication from a ‘number sense’ perspective, that is, to teach from a perspective that gives students a deep understanding of numbers.
Scaffolding the learning framework of computational fluency in multi-digit multiplication will optimize the use of learning time in the mathematics classroom. It will provide students with access to deep number sense and the creative development of computational methods that reflect the working of our number system. This research will not only enrich students understanding of multiplication, but also develop teachers own personal and professional understanding of this mathematical concept.

Kristen Tripet obtained her Bachelor of Teaching degree at UNE and worked for 10 years in the Primary classroom. She now works as an Educational Consultant in Mathematics for the Association of Independent Schools of NSW, sharing her passion for mathematics with children and teachers across the independent sector.
In her role as a consultant and as an EdD student at the University of Sydney, Kristen has made numerous presentations on mathematics at conferences. Most recently, she was awarded a study scholarship, visiting the United States, England and the Netherlands, to further investigate international approaches to the teaching of mathematics.