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Visual Reasoning Tools in Action: Double Number Lines, Area Models, and Other Diagrams Power Up Students' Ability to Solve and Make Sense of Various Problems
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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
On Maximal Subalgebras and the Hypercentre of Lie Algebras.
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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
Teaching Modelling as an Alternative Approach to School Mathematics
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Yanagimoto, Tomoko – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2005
Nowadays, mathematics has come to be increasingly put into practical use in various fields in society. However, Japanese students dislike mathematics. The purpose of this study is to consider the significance of teaching modelling. In this paper, I take up "Fuzzy modelling" as teaching material for senior high school students. As a…
Descriptors: High School Students, Conventional Instruction, Mathematics Instruction, Secondary School Mathematics
Algebra and Algebraic Thinking in School Math: 70th YB
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National Council of Teachers of Mathematics, 2008
Algebra is no longer just for college-bound students. After a widespread push by the National Council of Teachers of Mathematics (NCTM) and teachers across the country, algebra is now a required part of most curricula. However, students' standardized test scores are not at the level they should be. NCTM's seventieth yearbook takes a look at the…
Descriptors: Elementary School Mathematics, Sentences, Mathematics Education, Standardized Tests
The Trends of Computer-Based Instruction in Japan.
Okamoto, Toshio – Journal of Computer-Based Instruction, 1987
Reviews trends in computer assisted instruction (CAI) in Japan, focusing on authoring languages and mathematical model-based courseware development. The scale of personal computer use and types of courseware used in elementary and junior high schools is described, and an example of an intelligent CAI system is given. (Author/LRW)
Descriptors: Authoring Aids (Programing), Computer Assisted Instruction, Courseware, Developed Nations