What Group Theory Can Do for You: From Magmas to Abstract Thinking in School Mathematics

被引：5
|
作者：
Veith, Joaquin Marc [1 ]
Bitzenbauer, Philipp [2 ]
机构：
[1] Stiftung Univ Hildesheim, Inst Math & Angew Informat, D-31141 Hildesheim, Germany
[2] Friedrich Alexander Univ Erlangen Nurnberg, Phys Inst, D-91058 Erlangen, Germany
来源：
MATHEMATICS | 2022年 / 10卷 / 05期
关键词：
algebra; groups; magmas; secondary school; mathematics education; EARLY ALGEBRA;
D O I：
10.3390/math10050703
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present a novel concept for an abstract algebra course at the secondary school level. Against the backdrop of findings from mathematics education research, we discuss benefits that arise from teaching abstract algebra to secondary school students. We derive suitable content items as well as educational ideas on how to implement them into mathematics classrooms. We build on frameworks from mathematics education research to design a teaching-learning sequence that enables a beneficial learning trajectory across three units-the result is a coherent teaching concept that encompasses Magmas in a hands-on way. It can be used for either extra-curricular activities or advanced courses in mathematics classes, and can be of benefit for mathematics learners.
引用
收藏
页数：24
相关论文
共 50 条
  • [21] What You Can Do
    Beabout, Brian
    Foley, Shawn
    Rickard, Marjorie
    Wriddle, Janise Venia
    MacDonald, Laurie
    Smith, Stephen
    Campbell, Rob
    Strobel, Johannes
    TECHTRENDS, 2006, 50 (02) : 57 - 61
  • [22] What Can You Do?
    不详
    CHEMICAL ENGINEERING PROGRESS, 2013, 109 (06) : 24 - 24
  • [23] What Can You Do?
    不详
    CHEMICAL ENGINEERING PROGRESS, 2019, 115 (01) : 18 - 18
  • [24] WHAT CAN YOU DO?
    Chawla, Anil Kumar
    BAHRAIN MEDICAL BULLETIN, 2009, 31 (01)
  • [25] What you can do: What technology specialists can do
    Beabout B.
    Foley S.
    Rickard M.
    MacDonald L.
    Wriddle J.V.
    Smith S.
    Campbell R.
    Strobel J.
    TechTrends, 2006, 50 (2) : 57 - 61
  • [26] What can the smart grid do for you? And what can you do for the smart grid?
    Chassin D.P.
    Electricity Journal, 2010, 23 (05): : 57 - 63
  • [27] Ask not what crystallography can do for you - ask what you can do for crystallography
    Massera, Chiara
    Dakovic, Marijana
    Guerri, Annalisa
    Esterhuysen, Catharine
    Tarantino, Serena Chiara
    ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 2018, 74 : E167 - E167
  • [28] Ask not what your journal can do for you - ask what you can do for it
    Jeffery, Nick
    VETERINARY JOURNAL, 2014, 202 (01): : 1 - 2
  • [29] Ask not what VIPEr can do for you - ask what you can do for VIPEr
    Sylvester, Emily
    Nataro, Chip
    Bentley, Anne
    Eppley, Hilary
    Jamieson, Elizabeth
    Lin, Shirley
    Johnson, Adam
    Raker, Jeffrey
    Reisner, Barbara
    Smith, Sheila
    Stewart, Joanne
    Watson, Lori
    Williams, Nancy
    ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2019, 257
  • [30] What Mathematics can do for Sustainability
    Simon Levin
    Bulletin of Mathematical Biology, 2015, 77 : 251 - 253
12345