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Direct linkKatz, Karin Usadi; Katz, Mikhail G. – Educational Studies in Mathematics, 2010
The view of infinity as a metaphor, a basic premise of modern cognitive theory of embodied knowledge, suggests in particular that there may be alternative ways in which one could formalize mathematical ideas about infinity. We discuss the key ideas about infinitesimals via a proceptual analysis of the meaning of the ellipsis "..." in the real…
Descriptors: Number Systems, Epistemology, Mathematics Education, Evaluation
Mead, Katie; Maxwell, Tom W. – Australian Primary Mathematics Classroom, 2010
Action research (AR) is defined by Macintyre to be: "an investigation, where, as a result of rigorous self-appraisal of current practice, the researcher focuses on a problem,or a topic or an issue which needs to be explained, and on the basis of information, plans, implements, then evaluates an action then draws conclusions on the basis of…
Descriptors: Action Research, Number Concepts, Mathematics Instruction, Teaching Methods
Download full textManly, Myrna; Ginsburg, Lynda – National Institute for Literacy, 2010
In adult education, algebraic thinking can be a sense-making tool that introduces coherence among mathematical concepts for those who previously have had trouble learning math. Further, a modeling approach to algebra connects mathematics and the real world, demonstrating the usefulness of math to those who have seen it as just an academic…
Descriptors: Adult Education, Mathematical Concepts, Arithmetic, Algebra
Wright, Robert J.; Martland, Jim; Stafford, Ann K. – 2000
This book offers schools an assessment instrument to identify and help children who under-achieve in early numeracy. The book focuses on the Learning Framework in Number (LFIN) which guides the assessment and teaching. The LFIN consists of 11 key aspects of early number development including identifying the stages of early arithmetical learning,…
Descriptors: Arithmetic, Basic Skills, Elementary Education, Evaluation
Weir, Bob – EDUCAUSE Quarterly, 2004
One of the most difficult questions facing any enterprise, including colleges and universities, is where to invest limited information technology resources for the maximum benefit of customers, constituents, and institutional mission. Now, compounding this difficulty, constrained and shrinking IT budgets are colliding with increasing demand for…
Descriptors: Investment, Institutional Mission, Information Technology, Participative Decision Making
Reeve, W. D., Ed. – 1941
This yearbook is the final report of the National Council Committee on Arithmetic. Having endorsed the "meaning theory" of arithmetic instruction, an attempt is made to develop a position that might serve as a basis for improvement of the arithmetic program. After a chapter on the function of subject matter in relation to personality and one on…
Descriptors: Arithmetic, Curriculum, Curriculum Problems, Elementary School Mathematics
