The purpose of my study was to determine the effectiveness of using dynamic geometry software while exploring the properties of quadrilaterals. Dynamic geometry software can be effective if used properly in the exploration process as students construct their own knowledge through constructivism. Students were given the Van Hiele Test as a pretest…

This research examined the process of creating educational innovations through cloud-based constructivism and connectivism learning for undergraduates. The objectives were as follows: (1) To examine the cloud-based constructivism and connectivism learning model's roles in helping undergraduates create educational innovations; and (2) To evaluate…

The purpose of this research was to perform a meta-analysis to draw conclusions about the effectiveness of traditional, cooperative, constructivist, and computer-assisted teaching, and also to compare the effectiveness of these four approaches over the last twenty years. So, the present research adopted meta-analysis technique. In order to…

MathCheck is a relatively new online tool that gives students feedback on their solutions to elementary university mathematics and theoretical computer science exercises. MathCheck was designed with constructivism learning theory in mind and it differs from other online tools as it checks the solutions step by step and shows a counter-example if…

The research has shown a model of learning activities that can be used to stimulate reflective abstraction in students. Reflective abstraction as a method of constructing knowledge in the Action-Process-Object-Schema theory, and is expected to occur when students are in learning activities, will be able to encourage students to make the process of…

In this article, by way of an analysis of a case of mathematics teacher training, I explore the general idea of pedagogic expectation of an alignment of pedagogic identities and specific realisations of mathematics in pedagogic contexts. The particular case analysed has a constructivist orientation, but the analytic resources brought to bear in…

This paper reports the results of research conducted in six classes (Form IV) with 205 students with a sample of 94 respondents. Data represent students' statements that describe (a) the role of Mathematics teachers in a computer-assisted instruction (CAI) environment and (b) effectiveness of CAI in Mathematics instruction. The results indicated…

A number of underlying principles for including technology in the mathematics classroom is provided by Way and Webb (2006). They see technology, if incorporated in a rich and meaningful way, as potentially providing: (1) a shift from "instructivist" to constructivist education philosophies; (2) a move from teacher-centred to…

Many courses for elementary school are based upon teacher presentation and explanation of basic topics, rather than allowing students to develop their own knowledge. This traditional model may turn elementary-level lessons into an extremely theoretical, boring and non-effective process. In this context, research in mathematics elementary education…

The reported exploratory study consisted primarily of classroom visits, videotaped sessions, and post-treatment interviews whereby second graders (n = 12) worked on problems in planar geometry, individually and in triads, using physical and virtual manipulatives. The goal of the study was to: 1) characterize the nature of geometric thinking found…

The purpose of this quasi-experimental non-equivalent control group study was to test theories of constructivism and motivation, along with research-based teaching practices of differentiating instruction and instructing within a child's Zone of Proximal Development, in measuring the effect of computer-aided instruction on fifth grade students'…

Educational interventions that are currently in vogue in higher education settings are based upon constructivist approaches, whereby students learn content within the context of authentic activities and problem-based scenarios. Certainly these approaches have value, but proponents of these approaches have been somewhat successful in convincing…

This research demonstrates the design of a Joyful Classroom Learning System (JCLS) with flexible, mobile and joyful features. The theoretical foundations of this research include the experiential learning theory, constructivist learning theory and joyful learning. The developed JCLS consists of the robot learning companion (RLC), sensing input…

This research describes preservice teachers' perceptions of the use of applets in solving mathematical problems. It examines such perceptions regarding the role and functions that applets have in the problem solving context, the difficulties they encounter when using applets in this context and the necessity or need of their use. I attempt to…

Summarizes findings from studies that examined whether computer-based treatments search for and/or utilize any potential link between procedural and conceptual mathematical knowledge. Explains how these knowledge types may be linked and proposes two constructivist environments which enable a desired link. (Author/LRW)