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There Are No Algorithms for Teaching Algorithms.
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Curcio, Frances R.; Schwartz, Sydney L. – Teaching Children Mathematics, 1998
Suggests that issues surrounding the teaching of algorithms focus not on whether to teach them but rather on balancing and connecting the development of algorithmic thinking. Presents an approach to help students develop their algorithmic thinking. Contains 18 references. (ASK)
Descriptors: Algorithms, Elementary Education, Mathematics Activities, Mathematics Instruction
From Informal Strategies to Structured Procedures: Mind the Gap!
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Anghileri, Julia; Beishuizen, Meindert; Van Putten, Kees – Educational Studies in Mathematics, 2002
Explores written calculation methods for division used by pupils in England (n=276) and the Netherlands (n=259). Analyses informal strategies and identifies progression towards more structured procedures that result from different teaching approaches. Comparison of methods used shows greater success in the Dutch approach which is based on…
Descriptors: Algorithms, Arithmetic, Cognitive Processes, Division
Developing Computational Fluency with Whole Numbers.
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Russell, Susan Jo – Teaching Children Mathematics, 2000
Examines the philosophy behind the issue of computational fluency in "Principles and Standards." (Author)
Descriptors: Algorithms, Arithmetic, Computation, Early Childhood Education
On the Analysis of Cognitive Structures in Algorithmic Thinking.
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Schwank, Inge – Journal of Mathematical Behavior, 1993
Differences in students' (aged 12-14) construction and analysis of mathematical algorithms may be explained by the differences between predicative and functional cognitive structures. Analyzes the central role of internal and external representations and the characteristics of each. Discusses prototypical research design and development of a…
Descriptors: Algorithms, Cognitive Psychology, Cognitive Structures, Elementary Education
Reform in Primary Mathematics Education: A Constructivist View.
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Kamii, Constance; And Others – Educational Horizons, 1991
Based on Piaget's theory that children acquire number concepts by constructing them from within, the authors conclude that teaching algorithms harms mathematics learning. A better approach is allowing them to construct their own logico-mathematical knowledge and invent their own efficient procedures. (JOW)
Descriptors: Algorithms, Computation, Educational Change, Educational Strategies
Shrink-A-Cube: A Computer Based Activity To Support Primary Arithmetic. CAL Tech. Report No. 73.
Hennessy, Sara; And Others – 1988
This paper describes an educational program developed on the basis that the use of blocks and other manipulatives can be useful both for initial teaching of exchange operations in arithmetic and for remediation of the faulty strategies which very commonly arise during acquisition of written calculation algorithms. This computer program is a…
Descriptors: Algorithms, Arithmetic, Cognitive Development, Computer Assisted Instruction
Invented Strategies Can Develop Meaningful Mathematical Procedures.
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Carroll, William M.; Porter, Denise – Teaching Children Mathematics, 1997
Describes teaching strategies in which children are encouraged to develop computational procedures that are meaningful to them. Authors state that classroom observation reveals most primary students to be capable of developing their own accurate solution procedures for multi-digit addition and subtraction as well as for simple multiplication and…
Descriptors: Algorithms, Associative Learning, Computation, Cooperative Learning