• Corpus ID: 17750532

The Use of Alternative Algorithms in Whole Number Computation.

  title={The Use of Alternative Algorithms in Whole Number Computation.},
  author={Stephen John Norton},
  journal={International Journal for mathematics teaching and learning},
  • S. Norton
  • Published 19 April 2012
  • Education
  • International Journal for mathematics teaching and learning
Pedagogical reform in Australia over the last few decades has resulted in a reduced emphasis on the teaching of computational algorithms and a diversity of alternative mechanisms to teach students whole number computations. The effect of these changes upon student recording of whole number computations has had little empirical investigation. As reported in this paper, Years 4 to 7 students across three schools were tested for their ability to carry out written computations. A range of recording… 
Do Alternative Algorithms for Two-Digit Multiplication Really Help Students to be More Efficient?
The results show that the introduction ofAlternative algorithms has not hindered correctness, but the use of alternative algorithms has greatly increased the computing time, and that students consistently chose alternative algorithms, or more precisely, area algorithms.
Examination of the effect of teaching two differently structured written calculation methods on teaching arithmetic skills (addition) in grade 2 in Sweden with respect to students’ procedural, conceptual and factual knowledge found no evidence that the development of students' conceptual knowledge would benefit more from learning the decomposition method compared to traditional algorithm.
Simulation of Improved Academic Achievement for a Mathematical Topic Using Neural Networks Modeling
This paper is inspired by the simulation of Artificial Neural Networks (ANNs) applied recently for evaluation of phonics methodology to teach the children “how to read?” Nevertheless, in this paper,
The relationship between mathematical content knowledge and mathematical pedagogical content knowledge of prospective primary teachers
In Australia, there is increasing scrutiny of teacher education processes in learning to teach primary mathematics. In this study, mixed methods, including linear regression, are used to examine the
Mathematics engagement in an Australian lower secondary school
Abstract The importance of actively engaging in mathematics discourse in order to learn mathematics is well recognized. In this paper, I use Basil Bernstein’s concepts of pedagogic discourse to
Middle School Mathematics Pre-service Teacher’s Responses to a Mathematics Content and Specific Mathematics Pedagogy Intervention
  • S. Norton
  • Education
    Australian Journal of Teacher Education
  • 2019
Prospective middle school pre-service teachers' knowledge and affect in Australia has had little empirical research. In this study, 108 graduate entry pre-service teachers were surveyed for their
Variation of Fluorescence Intensity in Pleistocene Pollen and the Correlation of Fluvial Deposits in the Khorat Plateau, Thailand
ABSTRACT Fluorescence analysis of modern pollen grains is a well-established technique, but its use on fossil material is significantly less prevalent. A study focused on pollen and spore
Chinese Students' Engagement with Mathematics Learning.
Over the past decade it has been frequently reported that East Asian students are outperforming their Western counterparts in international tests of mathematics at middle-school level. This paper


To teach or not to teach algorithms
Should Problem Solving Be Used as a Learning Device in Mathematics
A theory of expertise has developed over the last few years on the basis of research into expert-novice differences. This research has shown an impressive degree of consistency in a variety of fields
Primary Students' Mental Computation: Strategies and Achievement
The findings indicated that students who were procedural in their approach were less successful on the pre-test but generally showed growth on the posttest, following a strategy-based intervention.
Principles and Practices in Arithmetic Teaching: Innovative Approaches for the Primary Classroom
Setting the agenda for arithmetic teaching and learning contrasting approaches that challenge tradition perspectives on arithmetic from classroom-based research in the United States and towards a new numeracy the English experience of a "calculator-aware" number curriculum.
Which Mental Strategies in the Early Number Curriculum? A Comparison of British Ideas and Dutch Views
Abstract Mental arithmetic has recently gained a higher profile in primary mathematics. The question then arises whether mental strategies should be left to spontaneous development or should be
Math Wars: Taking Sides
Teaching students for mathematical understanding is crucial, Mr. Marshall believes. This viewpoint puts him in agreement with the thinking behind the current mathematics standards. However, he finds
Four aspects of strategic change: contributions to children's learning of multiplication.
A longitudinal investigation of French 2nd graders' acquisition of single-digit multiplication skill showed that improvements in speed and accuracy that generally accompany learning can reflect at least 4 types of specific strategic changes: introduction of new strategies, increasing use of the most efficient existing strategies, more efficient execution of each strategy, and more adaptive choices among strategies.
Mental Calculation Methods Used By 11-Year-Olds in Different Attainment Bands: a reanalysis of data from the 1987 APU survey in the UK
This paper describes thereanalysis of data obtained in 1987 on themental calculation strategies used by asample of 11-year-olds in the course of anational survey of schools in England,Wales and
Diagnostic Models for Procedural Bugs in Basic Mathematical Skills
A new diagnostic modeling system for automatically synthesizing a deep-structure model of a student's misconceptions or bugs in his basic mathematical skills provides a mechanism for explaining why a