Rectangular Array Model Supporting Students' Spatial Structuring in Learning Multiplication
Abstract
We examine how rectangular array model can support students' spatial structuring in learning multiplication. To begin, we define what we mean by spatial structuring as the mental operation of constructing an organization or form for an object or set of objects. For that reason, the eggs problem was chosen as the starting point in which the students could recognize such an arrangement. Geoboard was also be used as a tool to visualize the array. This research focused on a design research that was conducted in Surya Institute Program (SIP) in which investigated 12 Papuan students (between 10 and 11 years old) in connecting rectangular array model with the idea of multiplication. The result showed that rectangular array model indeed support the students to count things more efficient, able to see the structural similarities of arrays and created spatial structures for sets of objects.
Keywords
Full Text:
PDFReferences
Battista, M. T., D. H. Clements, J. Arnoff, K. Battista, and C. van Den Borrow. (1998). Students’ Spatial Structuring of Two-Dimensional Arrays of Squares. Journal for Research in Mathematics Education 29 (5): 503-32.
Fosnot, Catherine & Dolk, Maarten. (2001). Young Mathematicians at Work: Constructing Multiplication and Division. Portsmouth: Heinemann.
Mulligan, J.T. (1992). Children’s Solutions to Multiplication and Division Word Problems: a Longitudinal Study. Mathematics Education Research Journal 4, 24-42.
Outhread, Lynne & Mitchelmore, Michael. (2004). Students’ Structuring of
Rectangular Arrays. Proceedings of 28th Conference of the International
Group for the Psychology of Mathematics Education, Vol. 3, 465-472.
Shanty, Nenden Octavarulia, et al. (2011). Design Research on Mathematics Education: Investigating the Progress of Indonesian Fifth Grade Students’ Learning on Multiplication of Fractions with Natural Numbers. Journal on Mathematics Education (IndoMS-JME), Vol. 2, 147-162.
Smith, S.Z., & Smith, M.E. (2006). Assessing Elementary Understanding of Multiplication Concepts. School Science and Mathematics, Georgia State University, 140-149, 2006.
Surya, Yohanes, Gasing’s Theoretical Framework. [online]. Message to Surya Wijaya cc to Nenden Octavarulia Shanty. 15 July 2012. Personal communication.
Van de Wall, J.A, et al. (2010). Elementary and Middle School Mathematics: Teaching Developmentally, New Jersey: Pearson.
Wittmann, E. C. (2005). Mathematics as the Science of Patterns – a guideline for Developing Mathematics Education for Early Childhood to Adulthood. Plenary Lecture at International Colloqium “Mathematical Learning from Early Childhood to Adulthoodâ€, Belgium: Mons.
DOI: https://doi.org/10.22342/jme.3.2.603.175-186
Refbacks
- There are currently no refbacks.
Kampus FKIP Bukit Besar
Jl. Srijaya Negara, Bukit Besar
Palembang - 30139
p-ISSN: 2087-8885 | e-ISSN: 2407-0610
Journal on Mathematics Education (JME) is licensed under a Creative Commons Attribution 4.0 International License.
View My Stats