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Peer reviewedBrinkworth, Peter – Australian Primary Mathematics Classroom, 1998
Compares methods of subtraction used by children and teachers. Suggests ways to encourage children to invent their own subtraction algorithms. (CCM)
Descriptors: Algorithms, Arithmetic, Elementary Education, Foreign Countries
Peer reviewedBeishuizen, Meindert; Anghileri, Julia – Mathematics in School, 1998
Compares the approaches to teaching division in Britain and in Holland where different emphasis is placed on the development of mental and written methods. Describes how it is common for pupils in Britain to work from an early stage with pencil and paper rather than mentally whereas early emphasis is placed on mental strategies in Holland. (ASK)
Descriptors: Algorithms, Arithmetic, Computation, Division
Peer reviewedHennessy, Sara – Learning and Instruction, 1993
This article describes an empirical investigation of the extent to which incorrect arithmetic algorithms persist over time. Results with 30 fourth-year and third-year English students over up to 3 months shed light on "bugs," or students' learning of incorrect concepts, and indicate that they are not very stable in children of this age.…
Descriptors: Algorithms, Arithmetic, Concept Formation, Elementary Education
Palmer, Don; And Others – 1994
This manual is a dictionary of some 150 errors made by students in their work in mathematics. A precise definition and examples are given for each of these errors and these, combined with a description of common causes of the error, form a background for diagnosis of student problems with arithmetic. Teaching strategies and ideas, each linked to a…
Descriptors: Algorithms, Arithmetic, Educational Diagnosis, Elementary Education
Palmer, Don; And Others – 1994
This book provides a comprehensive collection of 66 teaching strategies and ideas to help overcome problems with number, each linked to a specific kind of error described in the related manual. Most of these strategies are classroom-ready and easily implemented. Some are notes for the teacher to read and then plan activities accordingly, and many…
Descriptors: Algorithms, Arithmetic, Educational Diagnosis, Elementary Education
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
Dahlberg, Cecilia, Ed. – 1989
This paper describes the BUD project which surveyed childrens' conceptions of division, and of fractions and decimals. The lack of connection between counting skills and conceptual understanding is discussed. The expectations for new algorithms and the basic idea in planning the BUD project are summarized. Some previous studies on counting, the…
Descriptors: Algorithms, Arithmetic, Cognitive Structures, Concept Formation
