Michael Matassa's research while affiliated with University of Montana and other places

Publications (2)

Article
Full-text available
In this paper, we explore algebra students’ mathematical realities around fractions and division, and the ways in which students reinvented mathematical productions involving fractions and division. We find that algebra students’ initial realities do not include the fraction-as-quotient sub-construct. This can be problematic because in algebra, quo...
Article
Full-text available
U.S. students' poor performance in the domain of geometric transformations is well documented, as are their difficulties applying transformations to similarity tasks. At the same time, a transformations-based approach to similarity underlies the Common Core State Standards for middle and high school geometry. We argue that engaging teachers in this...

Citations

... In the case of fraction division, no explicit model proposed by the teacher respondent which specifically indicates learning stages within realistic approach although all the six teachers provide common stages in realistic approach. Regarding this issue, Peck and Matassa [22] proposed emergent models may be found during learning stages of fraction division with realistic approach. It starts with the use of informal models and strategies to solve problems involving fairsharing situations where multiple items are shared among multiple sharers, activities with progressively more abstract fair-sharing situations, the use of bar model and the partition-distribute-iterate strategy for a more formal stage, then ends up with the use of formal mathematical model of fractions-as-quotients subconstruct. ...
... With this in mind, a computer-aided learning environment was created by the researchers in order to observe the effect of the DGS at this stage. While numerous studies in the literature provide outcomes on the effects of DGS on academic achievement (Christou2005; Seago et al., 2013), the main purpose of this study was to demonstrate the use of GHoM rather than measuring achievement. This was a preliminary study conducted with GeoGebra, a popular DGS application, focusing on GHoM to determine the characteristics of the learning environment. ...