Curriculum and Study
(2004). Curriculum and Study. Journal of Curriculum and Pedagogy: Vol. 1, No. 1, pp. 21-24.
The Space Between: Interrogating the Conjunction of Curriculum and Pedagogy
The notion for a more holistic and interdisciplinary approach to theory and practice is the focus for this Perspectives section of the Journal of Curriculum and Pedagogy. To this end, the guest editors wished to engage our members in the following conversation: What are the resulting implications if we continue to treat curriculum/teaching theory and practice as separate domains of academic research? The organization of Curriculum and Pedagogy was founded in response to an understanding of education that assumes a separation between theory and practice. In pursuit of more holistic approaches to curriculum our association is “dedicated to this linkage between theory–practice integration and public intellectual commitment” (Henderson & Gornik, 2007, p. 236). The rapid growth and success of the Curriculum and Pedagogy group over the last 6 years (membership growth, creation of the Journal of Curriculum and Pedagogy, etc.) is one illustration of how the educational community has embraced the importance for this vision of integration. However, the apparent separation of curriculum theory and practice continues to permeate many of our institutional practices within education, including but not limited to the following:
The parallel waveform relaxation stochastic Runge–Kutta method for stochastic differential equations
For large-scale non-autonomous Stratonovich stochastic differential equations, we study a very general parallel waveform relaxation process which is on the basis of stochastic Runge–Kutta (SRK) method of mean-square order 1.0 in this literature. The convergence of the whole parallel numerical iterative scheme can be guaranteed and the scheme provides better properties in terms of decreasing the load of the computation and operating speed. At the same time, the related limit method is also introduced as the continuous approximation derived from the iterative scheme. In the approximation interval, it is worth noting that the mean-square order of the parallel numerical iterative scheme can be kept consistent with the previous SRK method at any arbitrary time point, not just at discrete points. Some numerical simulations are presented to elaborate the computing efficiency of the parallel numerical iterative scheme.