Number concepts in animals: A multidimensional array

1988 ◽  
Vol 11 (4) ◽  
pp. 590-590
Author(s):  
James E. King
2015 ◽  
Vol 22 (1) ◽  
pp. 56
Author(s):  
Sararose Lynch ◽  
Katie Becherer ◽  
Alex Taylor

A quick, engaging activity, Jump Plate aids in the development of number sense, fluency, and flexibility with numbers. Students apply basic number concepts and operations as they jump from plate to plate.


2012 ◽  
Vol 20 (2) ◽  
pp. 89-114 ◽  
Author(s):  
H. Carter Edwards ◽  
Daniel Sunderland ◽  
Vicki Porter ◽  
Chris Amsler ◽  
Sam Mish

Large, complex scientific and engineering application code have a significant investment in computational kernels to implement their mathematical models. Porting these computational kernels to the collection of modern manycore accelerator devices is a major challenge in that these devices have diverse programming models, application programming interfaces (APIs), and performance requirements. The Kokkos Array programming model provides library-based approach to implement computational kernels that are performance-portable to CPU-multicore and GPGPU accelerator devices. This programming model is based upon three fundamental concepts: (1) manycore compute devices each with its own memory space, (2) data parallel kernels and (3) multidimensional arrays. Kernel execution performance is, especially for NVIDIA® devices, extremely dependent on data access patterns. Optimal data access pattern can be different for different manycore devices – potentially leading to different implementations of computational kernels specialized for different devices. The Kokkos Array programming model supports performance-portable kernels by (1) separating data access patterns from computational kernels through a multidimensional array API and (2) introduce device-specific data access mappings when a kernel is compiled. An implementation of Kokkos Array is available through Trilinos [Trilinos website, http://trilinos.sandia.gov/, August 2011].


2016 ◽  
Vol 13 (6) ◽  
pp. 974-983 ◽  
Author(s):  
Baiyong Men ◽  
Xiaodong Ju ◽  
Junqiang Lu ◽  
Wenxiao Qiao

2008 ◽  
Vol 31 (6) ◽  
pp. 644-645 ◽  
Author(s):  
Hilary Barth

AbstractThe current consensus among most researchers is that natural number is not built solely upon a foundation of mental magnitudes. On their way to the conclusion that magnitudes do not form any part of that foundation, Rips et al. pass rather quickly by theories suggesting that mental magnitudes might play some role. These theories deserve a closer look.


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