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Inés Gallego-Sánchez; Verónica Martín-Molina; Isabel Caro-Torró; José María Gavilán-Izquierdo – Education 3-13, 2025
Our work investigated how six primary school students used a non-traditional method for adding and subtracting: the ABN method, a Spanish acronym for Open (method) Based on Numbers. Commognitive theory [Sfard, A. 2008. "Thinking as Communicating: Human Development, the Growth of Discourses, and Mathematizing." New York: Cambridge…
Descriptors: Foreign Countries, Elementary School Students, Addition, Subtraction
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Camille Lund – Mathematics Teacher: Learning and Teaching PK-12, 2024
Every educator knows the sinking feeling of a lesson gone wrong. As teachers look around the room and realize that many of their students are just not getting it, they often feel like failures. However, the struggle students experience as they persevere through high-quality challenging tasks is not a sign of failure, but rather a key aspect of…
Descriptors: Mathematics Instruction, Difficulty Level, Mathematics Skills, Teaching Methods
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Athanasios Christopoulos; Stylianos Mystakidis; Justyna Kurczaba; Mikko-Jussi Laakso; Chrysostomos Stylios – International Journal of Science and Mathematics Education, 2024
Previous studies have found positive effects of Game-Based Learning for mathematics. While most studies assume that this effect is explained by the presence of flow/immersion during games, this has not yet been established. The aim of the current study is to verify if immersion indeed is associated with mathematical skills improvement when using a…
Descriptors: Computer Simulation, Educational Games, Mathematics Skills, Mathematics Achievement
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Juric, Josipa – International Society for Technology, Education, and Science, 2022
This paper explores the correlation between mental calculation performance and the frequency of using written algorithms in mental calculation tasks. Mental calculation is a mathematical tool used in everyday life situations during and after our formal education. After presenting an overview of the professional literature on this topic, the paper…
Descriptors: Correlation, Mathematics Instruction, Computation, Mathematics Curriculum
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Bates, Tom; Rousseau, Leo – Arithmetic Teacher, 1986
The mathematics associated with division is discussed, working from a theorem for the real division algorithm. Real-world, geometric, and algebraic approaches are discussed, as are related topics. (MNS)
Descriptors: Algorithms, Computation, Division, Elementary Education
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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
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Morgan, Geoffrey – Australian Primary Mathematics Classroom, 2000
Debates the place of standard methods, the calculator, and mental mathematics in elementary education. Proposes a framework for computation that emphasizes a sequence for introducing computational procedures. (ASK)
Descriptors: Algorithms, Calculators, Computation, Elementary Education
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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
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Kiernan, Gerard – College Mathematics Journal, 1985
Provides several algorithms that use extended precision methods to compute large factorials exactly. The programs are written in BASIC and PASCAL. The approach used for computing N considers how large N is, how the built-in limitation on exact integer representation can be bypassed, and how long it takes to compute N. (JN)
Descriptors: Algorithms, College Mathematics, Computation, Computer Software
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Levine, Deborah – Mathematics and Computer Education, 1983
The Euclidean algorithm for finding the greatest common divisor is presented. (MNS)
Descriptors: Algorithms, College Mathematics, Computation, Higher Education
Carlisle, Earnest – 1986
A procedure is described that enables students to perform operations on fractions with a calculator, expressing the answer as a fraction. Patterns using paper-and-pencil procedures for each operation with fractions are presented. A microcomputer software program illustrates how the answer can be found using integer values of the numerators and…
Descriptors: Algorithms, Calculators, Computation, Computer Software
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Nesher, Pearla – For the Learning of Mathematics, 1986
The conceptual difference between understanding and algorithmic performance is examined first. Then some dilemmas that flow from these distinctions are discussed. (MNS)
Descriptors: Algorithms, Cognitive Processes, Computation, Decimal Fractions
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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
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Weaver, J. F. – School Science and Mathematics, 1981
Suggests and illustrates ways in which systematic consideration of selected unary operations can be facilitated by using electronic calculators. Emphasis is placed upon unary operations suitable for exploration and investigation at the pre-algebra level, using calculation algorithms as a basis for generating examples and non-examples to develop…
Descriptors: Algebra, Algorithms, Calculators, Computation
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Hector, Judith H.; Frandsen, Henry – Journal for Research in Mathematics Education, 1981
Results of this study indicated calculator algorithms can serve as an effective alternative instructional strategy where computational skill is an instructional goal. (MP)
Descriptors: Algorithms, Basic Skills, Calculators, College Mathematics
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