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Igoe, Damien; Boucher, Nicholas; Clark, Iain; Parisi, Alfio; Downs, Nathan – Australian Mathematics Teacher, 2018
This article proposes a practical method of teaching the addition of unit fractions using a series of mirror equation experiments.
Descriptors: Fractions, Addition, Equations (Mathematics), Mathematics Instruction
What Works Clearinghouse, 2021
This document includes instructional tips on: (1) Building on students' informal understanding of sharing and proportionality to develop initial fraction concepts; (2) Helping students recognize that fractions are numbers that expand the number system beyond whole numbers, and using number lines to teach this and other fraction concepts; (3)…
Descriptors: Mathematics Instruction, Instructional Effectiveness, Fractions, Elementary School Students
Howe, Roger – ZDM: The International Journal on Mathematics Education, 2019
This paper makes a proposal, from the perspective of a research mathematician interested in mathematics education, for broadening and deepening whole number arithmetic instruction, to make it more relevant for the twenty-first century, in particular, to enable students to deal with large numbers, arguably an essential skill for modern citizenship.…
Descriptors: Number Concepts, Numbers, Error of Measurement, Computation
Quane, Kate; Brown, Leni – Australian Primary Mathematics Classroom, 2022
Mathematics educators and researchers have advocated for the use of manipulatives to teach mathematics for decades. The purpose of this article is to provide illustrative uses of a readily available manipulative rather than a complete list. From an Australian perspective, Pop-it fidget toys can be used across the mathematics curriculum. This paper…
Descriptors: Mathematics Instruction, Toys, Manipulative Materials, Foreign Countries
Denton, Paula – Teaching Children Mathematics, 2016
Using Cuisenaire Rods, metric measurement, and mapping, students worked collaboratively to calculate, keep records, build, and problem solve with use of decimal fractions as a key element.
Descriptors: Fractions, Problem Solving, Cooperative Learning, Metric System
McCoy, Ann; Barnett, Joann; Stine, Tammy – Teaching Children Mathematics, 2016
Without a doubt, fractions prove to be a stumbling block for many children. Researchers have suggested a variety of explanations for why this is the case. The introduction of symbolization and operations before the development of conceptual understanding of fractions, a lack of understanding of the role of the numerator and denominator, and an…
Descriptors: Mathematics Instruction, Fractions, Mathematical Concepts, Teaching Methods
Kissane, Barry – Australian Mathematics Teacher, 2017
It seems that calculators continue to be misunderstood as devices solely for calculation, although the likely contributions to learning mathematics with modern calculators arise from other characteristics. A four-part model to understand the educational significance of calculators underpins this paper. Each of the four components (representation,…
Descriptors: Foreign Countries, Calculators, Educational Technology, Teaching Methods
Fitzallen, Noleine – Australian Mathematics Teacher, 2015
Many fraction activities rely on the use of area models for developing partitioning skills. These models, however, are limited in their ability to assist students to visualise a fraction of an object when the whole changes. This article describes a fraction modelling activity that requires the transfer of water from one container to another. The…
Descriptors: Fractions, Mathematics, Mathematics Instruction, Mathematical Models
What Works Clearinghouse, 2016
This guide is subject to WWC version 2.0 standards. The Fractions practice guide will provide evidence-based guidance on the teaching and learning of fractions among students in the elementary and middle grades. The guide will offer concrete recommendations for practices that improve students' conceptual understanding of fractions, operational…
Descriptors: Elementary Education, Secondary Education, Elementary School Mathematics, Middle Schools
Hurrell, Derek – Australian Primary Mathematics Classroom, 2014
In this article, Derek Hurrell, points out that while it's easy to fall into the impression that the proficiency strand "Fluency" is all about knowing basic number facts in all its many and splendid ways. He add it is easy to overlook, that within Fluency there are requirements that are based in Algebra; Measurement and Geometry; and…
Descriptors: Foreign Countries, Numbers, Mathematics, Algebra

Grossnickle, Foster E.; Perry, Leland M. – School Science and Mathematics, 1985
Discusses procedures used throughout history to solve fractional and decimal divisor problems. Early rules and definitions, approaches in mathematics and methods books, "new math" approaches, research findings, and recent textbook procedures are included. Concludes by presenting nine recommendations for teaching the operation. (DH)
Descriptors: Arithmetic, Computation, Decimal Fractions, Elementary Education
National Inst. for Educational Research, Tokyo (Japan). – 1984
This document is the final report of the Regional Training Workshop for the Development of Materials for Mathematics Education in Asia and the Pacific, using a problem-solving approach. The workshop was committed to identifying materials which are readily available at low cost, in sufficient quantities to be used by children in classrooms in any…
Descriptors: Computation, Decimal Fractions, Elementary Education, Elementary School Mathematics

Sweetland, Robert D. – Arithmetic Teacher, 1984
Discussed the use of Cuisenaire rods in teaching the multiplication of fractions. Considers whole number times proper fraction, proper fraction multiplied by proper fraction, mixed number times proper fraction, and mixed fraction multiplied by mixed fractions. (JN)
Descriptors: Computation, Elementary Education, Elementary School Mathematics, Fractions

Schoaff, Eileen; Rising, Gerald – Mathematics and Computer Education, 1990
Describes examples of rational representation as a guide for translating terminology and information encountered in manuals for computers. Discusses four limitations of the representation. (YP)
Descriptors: Algorithms, Computation, Decimal Fractions, Mathematical Applications

Anderson, Oliver D. – Mathematics and Computer Education, 1990
Discusses arithmetic during long-multiplications and long-division. Provides examples in decimal reciprocals for the numbers 1 through 20; connection with divisibility tests; repeating patterns; and a common fallacy on repeating decimals. (YP)
Descriptors: Arithmetic, Computation, Decimal Fractions, Division
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