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Levy, Ben; Hershkovitz, Arnon; Tabach, Michal; Cohen, Anat; Segal, Avi; Gal, Kobi – IEEE Transactions on Learning Technologies, 2023
This report describes a randomized controlled study that compared the personalization of educational content based on neural networks to personalization by human experts. The study was conducted in a graphically rich online learning environment for elementary school mathematics, in which N = 135 fourth- and sixth-grade students learn via…
Descriptors: Online Courses, Elementary School Students, Grade 4, Grade 6

Thompson, 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
Kratzer, Richard Oren – 1971
The purpose of this study was to compare the repeated subtraction method of long division of a partitioning distributive method, both taught by recording manipulation of popsicle sticks. Two instructional units were prepared. Twelve fourth grade classes were used, with six being taught one approach and six using the other. Tests consisting of…
Descriptors: Algorithms, Division, Doctoral Dissertations, Elementary School Mathematics

Carrier, Carol; And Others – Journal for Research in Mathematics Education, 1985
Students from six fourth-grade classes were paired and randomly assigned to computer or worksheet treatments on multiplication and division. Those using computer-based drill-and-practice programs made greater gains on some tests of basic facts, but had no higher retention of algorithms. (MNS)
Descriptors: Algorithms, Computation, Computer Assisted Instruction, Division

Stefanich, Greg P.; Rokusek, Teri – School Science and Mathematics, 1992
Presents a study that analyzed errors made by randomly chosen fourth grade students (25 of 57) while using the division algorithm and investigated the effect of remediation on identified systematic errors. Results affirm that error pattern diagnosis and directed remediation lead to new learning and long-term retention. (MDH)
Descriptors: Algorithms, Arithmetic, Cognitive Development, Computation
Brinker, Laura – 1997
This paper describes how a target group of seven students in a combined fourth and fifth grade mathematics class used structured representations to solve fraction problems situated within various realistic contexts. Emphasis is given to the ways in which students' thinking about rational number concepts influences and is influenced by the…
Descriptors: Algorithms, Arithmetic, Cognitive Processes, Concept Formation
Education Development Center, Inc., Newton, MA. – 1973
This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Elementary School Teachers
Education Development Center, Inc., Newton, MA. – 1973
This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Elementary School Teachers