The paper describes a framework for content-independent collaborative mobile learning along with the two content-specific applications built on top of it. The technical architecture provides mechanisms for computer-based collaboration that facilitates face-to-face collaborative mathematics and Chinese language learning activities in a primary school setting. We present the theoretical underpinn...

The log-Gamma function is an important special function of mathematics, and its principal branch is required in many applications. We develop here the mathematics required to evaluate the principal branch to arbitrary precision, including a new bound for the error in Stirling’s asymptotic series. We conclude with a discussion of the implementation of the principal branch of the log-Gamma functi...

I am one of a growing number of research mathematicians who are substantially engaged with school mathematics education. Such outreach has a long and honorable tradition. In this lecture, I illustrate some of the ways that I think this can be helpful, and even essential. Upon his retirement in 1990 as president of the ICMI, Jean Pierre Kahane spoke perceptively of the intimate connection betwee...

We investigate the scheduling of series of consecutive locks. This setting occurs naturally along canals and waterways. We describe a problem that generalizes different models that have been studied in literature. Our contribution is to (i) provide two distinct mathematical programming formulations, and compare them empirically, (ii) show how these models allow for minimizing emission by having...

In this paper, several new algebraic mathematics for positive fuzzy numbers of type (a,a,a,a) are devised and do not need the computation of α-cut of the fuzzy number. Direct mathematical expressions to evaluate exponential, square root, logarithms, inverse exponential etc. of positive fuzzy numbers of type (a,a,a,a) are obtained using the basic analytical principles of algebraic mathematics an...

We pursue research leading towards the nature of causality in the universe. We establish the equation of the universe’s evolution from the universe-state function and its series expansion, in which causes and effects connect together to construct a linked chain of causality. And the equation of causality [1] is rederived. Therefrom, our theory informs the progress of the universe and, simulaneo...

Little has been known about teach-yourself strategy, because many studies have not carried out on it in most parts of the world, like done with self-regulated learning (SRL) which gave birth to teach-yourself-strategy. It is unfortunate that SRL able solve problem mathematics achievement Nigeria. This study investigated effect Teach-Yourself-Mathematics Strategy (TYMS) students’ achievement. Th...