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Jia He – International Electronic Journal of Mathematics Education, 2025
This study examined 11 U.S. textbooks written for prospective teachers to investigate how standard decimal multiplication and division algorithms are presented, especially the rationale of both algorithms. Analytical frameworks of various methods used in different textbooks were developed. The findings suggest that half of the textbooks do not…
Descriptors: Elementary School Teachers, Preservice Teachers, Arithmetic, Mathematics Instruction
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
Hadi, Parvaneh; Symons, Duncan – Australian Primary Mathematics Classroom, 2021
As technology quickly evolves, there are breakthroughs in science, space exploration, medical and engineering fields almost every day. In the future, there will be more complicated science and technology problems that need specialized researchers and scientists to find an optimized solution. This paper presents the role of robotics in supporting…
Descriptors: Robotics, Educational Technology, Technology Uses in Education, Creativity

Smart, James R. – Arithmetic Teacher, 1979
Answers and examples are given to sixteen questions related to traditional ways of performing the operations of arithmetic. (MP)
Descriptors: Algorithms, Computation, Concept Formation, Elementary Education

Baxter, R. J. – Australian Mathematics Teacher, 1982
A technique for doing long division without the usual estimation difficulty is presented. It uses multiples of 2 combined with a recording technique. (MNS)
Descriptors: Algorithms, Computation, Division, Elementary Education

Ettline, J. Fred – Arithmetic Teacher, 1985
Two difficulties that students have in computing with fractions are idenfitied. Then a procedure is described, stressing the identity element, that resolves these difficulties and increases students' understanding and retention. (MNS)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Fractions

Ross, Susan; Pratt-Cotter, Mary – Mathematics Educator, 2000
Reviews the historical development of subtraction algorithms used in the United States. Discusses different algorithms used and developed throughout history that had a major impact on the way subtraction is taught today. (Contains 22 references.) (ASK)
Descriptors: Algorithms, Educational History, Elementary Education, Elementary School Mathematics

Pearson, Eleanor S. – Arithmetic Teacher, 1986
Computational algorithms from American textbooks copyrighted prior to 1900 are presented--some that convey the concept, some just for special cases, and some just for fun. Algorithms for each operation with whole numbers are presented and analyzed. (MNS)
Descriptors: Algorithms, Computation, Division, Elementary Education

Beattie, Ian D. – Arithmetic Teacher, 1986
Discusses the use of manipulative materials to model operations and algorithms. Indicates that they clarify the several interpretations of each operation, establish a basis for correct mathematical language, and show why algorithms work. (JN)
Descriptors: Algorithms, Arithmetic, Elementary Education, Elementary School Mathematics
Moise, Edwin E. – Curriculum Review, 1984
Defines psychic intelligence as an inclination all children possess to use whatever cognitive intelligence they have for learning, adaptive behavior, and pleasure; strongly suggests that algorithmic drill usually damages the mentality of children by stifling psychic intelligence; and discusses the use of pocket calculators to prevent this effect.…
Descriptors: Algorithms, Calculators, Educational Quality, Elementary School Mathematics

Kilburn, John – Mathematics in School, 1980
Two alternatives are given to the decomposition and equal addition subtraction algorithms. (MK)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Mathematics Curriculum

Spitler, Gail – Arithmetic Teacher, 1979
Allowing students to examine different ways of performing an operation is suggested as a means of increasing their understanding. (MP)
Descriptors: Addition, Algorithms, Computation, Concept Formation

Senteni, Alain – For the Learning of Mathematics, 1986
Four methods of filling a square using programing with Logo are presented, with comments on children's solutions. Analysis of the mathematical or programing concepts underlying a few simple algorithms is the focus. (MNS)
Descriptors: Algorithms, Computer Software, Elementary Education, Elementary School Mathematics

Carraher, Terezinha Nunes; Schliemann, Analucia Dias – Journal for Research in Mathematics Education, 1985
Fifty Brazilian children aged seven-13 were individually given addition and subtraction exercises. Counting was the preferred procedure, with use of school-taught algorithms limited. Some children decomposed numbers into tens and units and then worked at both levels. They rarely referred to previous results when doing related exercises. (MNS)
Descriptors: Addition, Algorithms, Cognitive Processes, Educational Research

Hall, William D. – Arithmetic Teacher, 1983
A strategy to make the transition from manipulative materials to a written algorithm for division is outlined in dialogue form. (MNS)
Descriptors: Algorithms, Computation, Division, Elementary Education