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Iconic Mathematics: Math Designed to Suit the Mind.

Peter Kramer1

  • 1Department of General Psychology, University of Padua, Padua, Italy.

Frontiers in Psychology
|June 30, 2022
PubMed
Summary
This summary is machine-generated.

Iconic mathematics offers a radical, visual approach to math, making it more accessible. This "iconic" method, inspired by Charles Peirce, may help individuals who struggle with traditional symbolic math.

Keywords:
dyscalculiaembodied mathematicshypercalculiaiconic mathematicsmath educationmathematical cognitionstem education

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Area of Science:

  • Mathematics Education
  • Cognitive Science
  • Logic

Background:

  • Traditional mathematics education faces accessibility challenges for many learners.
  • Behavioral and educational scientists are exploring new teaching methods.
  • Mathematicians and computer scientists are redesigning mathematical structures for improved ergonomics.

Purpose of the Study:

  • To introduce and explore the concept of iconic mathematics as a more accessible alternative to traditional symbolic mathematics.
  • To highlight the potential of iconic mathematics in aiding individuals with learning disabilities or difficulties in computation.

Main Methods:

  • The study discusses the foundational principles of iconic logic introduced by Charles Peirce.
  • It details the development of iconic mathematics by George Spencer-Brown.
  • The approach is compared to abacus-based calculations for its visual and intuitive nature.

Main Results:

  • Iconic mathematics, similar to abacus use, provides a visual and tangible method for arithmetic, algebra, and trigonometry.
  • This approach may benefit individuals who struggle with conventional mathematical symbolic systems.
  • Observations suggest a potential for iconic mathematics to assist those with learning disabilities in mathematics.

Conclusions:

  • Iconic mathematics presents a paradigm shift, moving from symbolic manipulation to visual representation.
  • This alternative mathematical framework has the potential to enhance mathematical accessibility and performance for diverse learners.
  • Further research into iconic mathematics could reveal significant benefits for educational interventions and cognitive support.