Online Meaningful Mathematics Learning Integrated by "Pintar tuntang Harati" in the New Normal Era

Open Educational Resource in Online Mathematics Learning

Technology, multimedia in Open Educational Resources, can contribute positively to student performance in an online instructional environment. Student performance data of past four years were obtained from an online course entitled Applied Calculus (MA139). This paper examined the data to determine whether multimedia (independent variable) had any impact on student performance (dependent variab...

Towards an integrated learning environment for mathematics

In recent years the mathematical community has been enriched with various computer programs that facilitate and improve the learning of mathematics. Although many practical and didactical problems still exist, computer aided learning has become a valuable addition to education. However, these successes also lead to high expectations of teachers and learners. For a teacher it would be nice if he...

The Mathematics of Divergence Based Online Learning in Vector Quantization

We propose the utilization of divergences in gradient descent learning of supervised and unsupervised vector quantization as an alternative for the squared Euclidean distance. The approach is based on the determination of the Fréchet-derivatives for the divergences, wich can be immediately plugged into the online-learning rules.We provide themathematical foundation of the respective framework. ...

Concept maps and meaningful learning in medical education

Does Normal Mathematics Need New Axioms ?

We present a range of mathematical theorems whose proofs require unexpectedly strong logical methods, which in some cases go well beyond the usual axioms for mathematics. ************************************************ There are a variety of mathematical results that can only be obtained by using more than the usual axioms for mathematics. For several decades there has been a gradual accumulat...