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Watanabe, Tad – Mathematics Teaching in the Middle School, 2015
The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) identifies the strategic use of appropriate tools as one of the mathematical practices and emphasizes the use of pictures and diagrams as reasoning tools. Starting with the early elementary grades, CCSSM discusses students' solving of problems "by drawing." In later…
Descriptors: Foreign Countries, Mathematics Education, Secondary School Mathematics, Middle School Students

Honda, Masanobu – Hiroshima Journal of Mathematics Education, 1997
Derives two sufficient conditions for a finitely generated Lie algebra to have the nilpotent hypercenter. Presents a relatively large class of generalized soluble Lie algebras. Proves that if a finitely generated Lie algebra has a nilpotent maximal subalgebra, the Fitting radical is nilpotent. (DDR)
Descriptors: Abstract Reasoning, Algebra, Foreign Countries, Higher Education