876 research outputs found
Values in Mathematics and Science Education: similarities and differences
literacy and expertise from their citizens than ever before. At the heart of such demands is the need for greater engagement by students with school mathematics and science. As the OECD/PISA definition of numeracy puts it:
“Mathematical literacy is an individual’s capacity to identify and understand the role that mathematics plays in the world, to make well-founded judgements and to use and engage with mathematics in ways that meet the needs of that individual’s life as a constructive, concerned and reflective citizen”(OECD, 2003)
Values are an inherent part of the educational process at all levels, from the systemic, institutional macro-level, through the meso-level of curriculum development and management, to the microlevel of classroom interactions (Le Métais, 1997) where they play a major role in establishing a sense of personal and social identity for the student. However the notion of studying values in mathematics education is a relatively recent phenomenon (Bishop, 1999). According to Chin, Leu, and Lin (2001), the values portrayed by teachers in mathematics classrooms are linked to their pedagogical identities. Seah and Bishop (2001) describe the values held by teachers as representing their \u27cognisation\u27 of affective variables such as beliefs and attitudes, and the subsequent internalisation of these values into their respective affective-cognitive personal system
Aspectos sociales y culturales de la educación matemática
Este artículo trata sobre dos campos de investigación que han contribuido. Revisar la enseñanza de las matemáticas en la última década: aquellos relacionados con los aspectos sociales y culturales de la educación matemática
Non-Hermitian description of a superconducting phase qubit measurement
We present an approach based on a non-Hermitian Hamiltonian to describe the
process of measurement by tunneling of a phase qubit state. We derive simple
analytical expressions which describe the dynamics of measurement, and compare
our results with those experimentally available.Comment: 8 pages, 4 figure
Sparse matrix-vector multiplication on GPGPU clusters: A new storage format and a scalable implementation
Sparse matrix-vector multiplication (spMVM) is the dominant operation in many
sparse solvers. We investigate performance properties of spMVM with matrices of
various sparsity patterns on the nVidia "Fermi" class of GPGPUs. A new "padded
jagged diagonals storage" (pJDS) format is proposed which may substantially
reduce the memory overhead intrinsic to the widespread ELLPACK-R scheme. In our
test scenarios the pJDS format cuts the overall spMVM memory footprint on the
GPGPU by up to 70%, and achieves 95% to 130% of the ELLPACK-R performance.
Using a suitable performance model we identify performance bottlenecks on the
node level that invalidate some types of matrix structures for efficient
multi-GPGPU parallelization. For appropriate sparsity patterns we extend
previous work on distributed-memory parallel spMVM to demonstrate a scalable
hybrid MPI-GPGPU code, achieving efficient overlap of communication and
computation.Comment: 10 pages, 5 figures. Added reference to other recent sparse matrix
format
On the geometric boundaries of hyperbolic 4-manifolds
We provide, for hyperbolic and flat 3-manifolds, obstructions to bounding
hyperbolic 4-manifolds, thus resolving in the negative a question of Farrell
and Zdravkovska.Comment: 8 pages. Published copy, also available at
http://www.maths.warwick.ac.uk/gt/GTVol4/paper5.abs.htm
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