Why is algebra called gatekeeper

Algebraizing factual situations

In her study, Annegret Nydegger-Haas examines learning processes in the field of elementary algebra based on student interviews and develops a step model for this purpose in order to specify learning difficulties in the application of algebra in factual situations. With the help of a theoretical model, the author defines the meaning of the relational and operational perspective and provides evidence that the networking of these two is important for learning and building understanding of algebra. The results of this study indicate that the content of algebra, more than is the case today, needs to be filled with meaning. The tasks used focus on math processes in which the two areas of arithmetic and algebra are combined.

The content

  • Algebraic content as part of general education
  • Learning didactic basics
  • From arithmetic to algebra
  • Application of algebra with a focus on the two modes of thinking relational and operational

The target groups

  • Lecturers and students of mathematics didactics, educational sciences and pedagogy
  • Mathematics teachers in secondary level 1

The author
Annegret Nydegger-Haas
works as a lecturer at the PH Bern in the field of mathematics didactics.


Algebra as general education Breaks of ideas Arithmetic - algebra word problems Process, object, duality Understanding variables Understanding terms Operational thinking or point of view Relational thinking or point of view Algebra for everyone Diagnosis in the area of ​​algebraizing Meaningful context in algebra Teaching and learning difficulties in the area of ​​algebra Task types for algebraizing different perspectives mathematical objects use algebraic language rule-based reshaping versus networking describe relations algebraically

Authors and affiliations

About the authors

Annegret Nydegger-Haas is a lecturer at the PH Bern in the field of mathematics didactics.

Bibliographic information

  • Book Title Algebraize factual situations
  • Book Subtitle Interactions between relational and operational ways of thinking and seeing
  • Authors Annegret Nydegger-Haas
  • Series TitleEssener Contributions to Mathematics Didactics
  • Series Abbreviated TitleEssener Contributions to Mathematics Didactics
  • DOIhttps: //doi.org/10.1007/978-3-658-20911-7
  • Copyright InformationSpringer Fachmedien Wiesbaden GmbH2018
  • Publisher NameSpringer Spektrum, Wiesbaden
  • eBook Packages Social Science and Law (German Language)
  • Softcover ISBN978-3-658-20910-0
  • eBook ISBN978-3-658-20911-7
  • Series ISSN2509-3169
  • Series E-ISSN2509-3177
  • Edition Number1
  • Number of PagesX, 203
  • Number of Illustrations48 b / w illustrations, 11 illustrations in color
  • TopicsMathematics Education
    Teaching and Teacher Education
    Learning & Instruction
  • Buy this book on publisher's site