There has been extensive work on the existence of periodic solutions for nonlinear second order autonomous differantial equations, but little work regarding the third order problems. The popular Poincare-Bendixon theorem applies well to the former but not the latter (see [2] and [3]). We give a necessary condition for the existence of periodic solutions for the third order autonomous system...

Open learner models (OLM) are learner models which are accessible to the learner, allowing them to view, and sometimes modify, their model. This openness may raise questions of learner trust in their learner model: if users do not agree with, or trust the information they can see about themselves, their trust in the interaction will likely be reduced. Using a Wizard-of-Oz approach, we consider ...

Major objective of the web-based learning is to design customized courseware taking into account of the input knowledge level and the specific objective of each individual learner. In order to improve the design of adaptive dynamic courseware to meet the requirement of individual learner we have already presented concept of Learner Quanta (LQ) & Learner Quanta Cloud (LQC) [9]. In this paper, co...

Using an eye-tracker, this paper investigates the information that learners visually attend to in their open learner model, and the degree to which this is related to the method of displaying the model to the learner. Participants were fourteen final year undergraduate students using six views of their learner model data. Results suggest some views of the learner model information may be more l...

Nowadays, especially after the COVID-19 crisis lockdown, heavy reliance on technology and online platforms led to a greater expectation of more learning autonomy among English learners in EFL contexts such as Saudi Arabia. The sudden shift requires an investigation into students’ readiness willingness for mode learning. This can provide educators with many prospects about outcomes achievement a...

Open learner models (OLM) enable users to access their learner model to view information about their understanding. Opening the learner model to the learner may increase their perceptions of how a system evaluates their knowledge and updates the model. This raises questions of trust relating to whether the learner believes the evaluations are correct, and whether they trust the system as a whol...

In order for interactive learning environments to enrich and individualize the communication with learners, they use learner models, which can be seen as explicit representations in the system of some characteristics of that particular learner. These explicit learner models are created during the interaction with the learner and based on the actions performed by him or her. The created content ...