Open AccessVARIETY OF ARRANGEMENTS OF NUMERICAL DATA FOR A DEEPER UNDERSTANDING OF MATHEMATICS
Author(s) -
Pēteris Daugulis,
Elfrīda Krastiņa,
Anita Sondore,
Vija Vagale
Publication year - 2020
Publication title -
sabiedrība, integrācija, izglītība/sabiedrība. integrācija. izglītība/society. integration. education
Language(s) - English
Resource type - Journals
eISSN - 2256-0629
pISSN - 1691-5887
DOI - 10.17770/sie2020vol1.5081
Subject(s) - variety (cybernetics) , computer science , multiplication (music) , implementation , matrix (chemical analysis) , visualization , matrix multiplication , block (permutation group theory) , cuboid , multiplication algorithm , algebraic number , mathematics education , theoretical computer science , algebra over a field , mathematics , arithmetic , artificial intelligence , programming language , geometry , pure mathematics , mathematical analysis , materials science , physics , combinatorics , quantum mechanics , binary number , composite material , quantum
Effective arranging of numerical data and design of associated computational algorithms are important for any area of mathematics for teaching, learning and research purposes. Usage of various algorithms for the same area makes mathematics teaching goal-oriented and diverse. Matrices and linear-algebraic ideas can be used to make algorithms visual, two dimensional (2D) and easy to use. It may contribute to the planned educational reforms by teaching school and university students deeper mathematical thinking. In this article we give novel data arranging techniques (2D and 3D) for matrix multiplication. Our 2D method differs from the standard, formal approach by using block matrices. We find this method a helpful alternative for introducing matrix multiplication. We also give a new innovative 3D visualisation technique for matrix multiplication. In this method, matrices are positioned on the faces of a rectangular cuboid. Computerized implementations of this method may be considered as student project proposals.