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| Algorithms | 7 |
| Elementary Education | 7 |
| Mathematics Education | 5 |
| Addition | 3 |
| Arithmetic | 3 |
| Cognitive Processes | 3 |
| Elementary School Mathematics | 3 |
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| Educational Studies in… | 7 |
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| Anghileri, Julia | 1 |
| Arsenault, Cathy | 1 |
| Beishuizen, Meindert | 1 |
| Lemoyne, Gisele | 1 |
| Selter, Christoph | 1 |
| Slesnick, Twila | 1 |
| Streefland, Leen | 1 |
| Ter Heege, Hans | 1 |
| Thompson, Ian | 1 |
| Van Putten, Kees | 1 |
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Peer reviewedAnghileri, 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
Peer reviewedArsenault, Cathy; Lemoyne, Gisele – Educational Studies in Mathematics, 2000
Analyzes a didactical sequence for the teaching of addition and subtraction procedures and algorithms. Uses didactical procedures by children in problem solving activities in order to gain a better understanding of the interaction between numbers, numeration, and operations knowledge which are involved in the construction of addition and…
Descriptors: Addition, Algorithms, Elementary Education, Grade 2
Peer reviewedSelter, Christoph – Educational Studies in Mathematics, 2001
Describes the success, the methods (mental, informal written, standard algorithm) and the strategies of informal written arithmetic to be observed when 300 elementary students worked on six addition and six subtraction problems with three-digit numbers. (Author/MM)
Descriptors: Addition, Algorithms, Arithmetic, Cognitive Processes
Peer reviewedSlesnick, Twila – Educational Studies in Mathematics, 1982
The hypothesis investigated is that understanding of the long division algorithm requires a higher cognitive level than understanding of fundamental division concepts. Sixth-grade children were tested on performance and understanding of a given algorithm and concepts of division. (MP)
Descriptors: Algorithms, Cognitive Development, Cognitive Processes, Division
Peer reviewedThompson, Ian – Educational Studies in Mathematics, 1994
Fourth graders' (n=117) solutions to addition problems were analyzed in terms of standard or idiosyncratic written algorithms. Students had not previously been taught pencil-and-paper algorithms. Preference for horizontal layout, working from left to right, and a wide variety of written algorithms were found. (Contains 48 references.) (Author/MKR)
Descriptors: Addition, Algorithms, Arithmetic, Computation
Peer reviewedTer Heege, Hans – Educational Studies in Mathematics, 1978
The focus is upon the introduction of multiplication within the framework of an algorithm program. Analysis of some observations of student solutions to multiplication problems is included. (MN)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Grade 3
Peer reviewedStreefland, Leen – Educational Studies in Mathematics, 1982
A process of teaching fractions is detailed that respects pupil ideas and concept images and builds on these in a way that helps children to develop personal algorithms. This approach is an attempt to get away from perceived one-sided views found in most textbooks. (MP)
Descriptors: Algorithms, Educational Research, Elementary Education, Elementary School Mathematics
