The Interplay Between Mathematical and Computational Thinking in Primary School Students' Mathematical Problem-Solving Within a Programming Environment

被引:32
|
作者
Cui, Zhihao [1 ]
Ng, Oi-Lam [1 ]
机构
[1] Chinese Univ Hong Kong, Dept Curriculum & Instruct, Shatin New Territories, Hong Kong, Peoples R China
关键词
computational thinking; challenges; constructionism; mathematics education; programming;
D O I
10.1177/0735633120979930
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
In this paper, we explore the challenges experienced by a group of Primary 5 to 6 (age 12-14) students as they engaged in a series of problem-solving tasks through block-based programming. The challenges were analysed according to a taxonomy focusing on the presence of computational thinking (CT) elements in mathematics contexts: preparing problems, programming, create computational abstractions, as well as troubleshooting and debugging. Our results suggested that the challenges experienced by students were compounded by both having to learn the CT-based environment as well as to apply mathematical concepts and problem solving in that environment. Possible explanations for the observed challenges stemming from differences between CT and mathematical thinking are discussed in detail, along with suggestions towards improving the effectiveness of integrating CT into mathematics learning. This study provides evidence-based directions towards enriching mathematics education with computation.
引用
收藏
页码:988 / 1012
页数:25
相关论文
共 50 条
  • [1] Primary school teacher's noticing of students' mathematical thinking in problem solving
    Fernandez, Ceneida
    Llinares, Salvador
    Valls, Julia
    [J]. MATHEMATICS ENTHUSIAST, 2013, 10 (1-2): : 441 - 467
  • [2] THE INTERPLAY OF SOCIAL INTERACTIONS, AFFECT, AND MATHEMATICAL THINKING IN URBAN STUDENTS' PROBLEM SOLVING
    Alston, Alice
    Brett, Pamela
    Goldin, Gerald A.
    Jones, Jennifer
    Pedrick, Louis
    Seeve, Evelyn
    [J]. PROCEEDINGS OF THE JOINT MEETING OF PME 32 AND PME-NA XXX, VOL 2, 2008, : 33 - 40
  • [3] Improving students mathematical higher order thinking through the implementation of the creative problem-solving model of High School Students
    Effendi, A.
    Fatimah, A. T.
    [J]. INTERNATIONAL CONFERENCE ON MATHEMATICS AND SCIENCE EDUCATION 2019 (ICMSCE 2019), 2020, 1521
  • [4] Examining primary students’ mathematical problem-solving in a programming context: towards computationally enhanced mathematics education
    Oi-Lam Ng
    Zhihao Cui
    [J]. ZDM – Mathematics Education, 2021, 53 : 847 - 860
  • [5] Examining primary students' mathematical problem-solving in a programming context: towards computationally enhanced mathematics education
    Ng, Oi-Lam
    Cui, Zhihao
    [J]. ZDM-MATHEMATICS EDUCATION, 2021, 53 (04): : 847 - 860
  • [6] MATHEMATICAL PROBLEM-SOLVING CHARACTERISTICS OF MIDDLE SCHOOL STUDENTS WITH LEARNING-DISABILITIES
    MONTAGUE, M
    APPLEGATE, B
    [J]. JOURNAL OF SPECIAL EDUCATION, 1993, 27 (02): : 175 - 201
  • [8] PRIMARY SCHOOL PEDAGOGY STUDENTS' MATHEMATICAL WORD PROBLEM SOLVING SKILLS
    Marchis, Iuliana
    [J]. INTED2014: 8TH INTERNATIONAL TECHNOLOGY, EDUCATION AND DEVELOPMENT CONFERENCE, 2014, : 1582 - 1587
  • [9] Fostering Computational Thinking through Problem-Solving at School
    Labusch, Amelie
    [J]. ICER'18: PROCEEDINGS OF THE 2018 ACM CONFERENCE ON INTERNATIONAL COMPUTING EDUCATION RESEARCH, 2018, : 276 - 277
  • [10] Complex Problem Solving as a Construct of Inquiry, Computational Thinking and Mathematical Problem Solving
    Pedaste, Margus
    Palts, Tauno
    Kori, Kulli
    Sormus, Maarja
    Leijen, Ali
    [J]. 2019 IEEE 19TH INTERNATIONAL CONFERENCE ON ADVANCED LEARNING TECHNOLOGIES (ICALT 2019), 2019, : 227 - 231