Advanced mathematical reasoning, regardless of domain or difficulty, activates a reproducible set of bilateral brain areas including intraparietal, inferior temporal and dorsal prefrontal cortex. The respective roles of genetics, experience and education in the development of this math-responsive network, however, remain unresolved. Here, we investigate the role of visual experience by studying...

The past decade has seen a remarkable renaissance in the interaction between mathematics and physics. This has been mainly due to the increasingly sophisticated mathematical models employed by elementary particle physicists, and the consequent need to use the appropriate mathematical machinery. In particular, because of the strongly non-linear nature of the theories involved, topological ideas ...

singular perturbation problems have been studied by many mathematicians. since the approximate solutions of these problems are as the sum of internal solution (boundary layer area) and external ones, the formation or non-formation of boundary layers should be specified. this paper, investigates this issue for a singular perturbation problem including a first order differential equation with gen...

Computer Algebra Systems (CAS) have been designed to aid users by automating a class of mathematical computations. However, despite widespread availability, little is known about how usable, useful, and used computers in general and CAS in particular are in mathematicians’ work. Recently we presented a first examination of the overall work process of expert mathematicians and of the drawbacks o...

As programming has become a common feature of undergraduate mathematics degrees, there been an increasing focus on how to teach and assess the subject mathematicians. The potential benefits e-assessment basic exercises have many parallels with assessment in where tools are widely used: chance give instant feedback students offers opportunity allow work at their own pace, accommodating disparate...