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Karen C. Fuson; Shannon Kiebler; Robyn Decker – Mathematics Teacher: Learning and Teaching PK-12, 2024
The authors have found that having students learn accessible standard algorithms by explaining them using mathematics drawings increases students' sense of place--value numbers and enables students to articulate their understanding of what is actually happening with the numbers and why. In this article, they will discuss three standard algorithms…
Descriptors: Mathematics Instruction, Multilingualism, Teaching Methods, Teacher Student Relationship

Randolph, Tamela D.; Sherman, Helene J. – Teaching Children Mathematics, 2001
Presents several alternatives to customary algorithms for whole number arithmetic. Includes a brief history of each algorithm and discusses why each might be useful for particular kinds of children. (KHR)
Descriptors: Algorithms, Arithmetic, Elementary Education, Learning Strategies

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
Bennedbek, Birgitte – Mathematics Teaching, 1981
A process for helping students in the elementary grades develop their own algorithms for subtraction with carrying is described. Pupils choose their own times and ways to move from manipulative materials to written notation. (MP)
Descriptors: Algorithms, Arithmetic, Computation, Elementary Education

Olson, Melfried; Olson, Judith – School Science and Mathematics, 1988
Describes a pattern which emerged from an examination of the digits of the squares of numbers. Provides eight examples having the pattern at the units or tens digit of the number. (YP)
Descriptors: Algorithms, Arithmetic, Elementary Education, Elementary School Mathematics

Evered, Lisa – Arithmetic Teacher, 1989
Outlines various subtraction methods, such as the decomposition method, equal-addends method, and low-stress algorithm. Describes a subtraction method by addition of complements. Discusses the advantages and disadvantages of the method. (YP)
Descriptors: Algorithms, Arithmetic, Computers, Elementary School Mathematics

Moldavan, Carla C. – Teaching Children Mathematics, 2001
Describes a multicultural enrichment project for 4th graders that highlights number systems and computation algorithms of various cultures. Discusses student responses and reactions. (KHR)
Descriptors: Algorithms, Arithmetic, Computation, Curriculum Design
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