Mathematics Branches, Topics, and Sub-Topics

A structured visual guide to the major mathematical areas and their relationships.

Search by code, branch, topic, subtopic, or a keyword from the descriptions.

97Axx General and historical aspects

This subtopic introduces the core ideas in general and historical aspects, including foundational concepts, standard methods, and the main questions used to organize the area. Typical uses include building mathematical background, framing related research problems, and supporting applications in neighboring fields where these concepts provide useful structure.

Specific topics

97A20 Recreational mathematics in education

Overview

This topic concerns recreational mathematics in education in the context of mathematics teaching and learning. It is relevant for curriculum design, classroom practice, teacher preparation, and the study of how students develop mathematical understanding.

Related Wikipedia Page

Mathematics education (Wikipedia)

Useful Links

Key Ideas

  • Instructional design and student engagement
  • Meaningful mathematical discourse and representation
  • Research-informed practice in classroom settings

Typical Uses

Used by teachers, researchers, and curriculum designers when planning lessons, studying learning outcomes, or evaluating instructional resources for recreational mathematics in education.

Applications

  • Classroom lesson planning and instructional design
  • Teacher education and professional development
  • Curriculum evaluation and educational research

References

Recommended Textbooks

97A30 History of mathematics and mathematics education

Overview

This topic concerns history of mathematics and mathematics education in the context of mathematics teaching and learning. It is relevant for curriculum design, classroom practice, teacher preparation, and the study of how students develop mathematical understanding.

Related Wikipedia Page

Mathematics education (Wikipedia)

Useful Links

Key Ideas

  • Instructional design and student engagement
  • Meaningful mathematical discourse and representation
  • Research-informed practice in classroom settings

Typical Uses

Used by teachers, researchers, and curriculum designers when planning lessons, studying learning outcomes, or evaluating instructional resources for history of mathematics and mathematics education.

Applications

  • Classroom lesson planning and instructional design
  • Teacher education and professional development
  • Curriculum evaluation and educational research

References

Recommended Textbooks

97A40 Mathematics and society

Overview

This topic concerns mathematics and society in the context of mathematics teaching and learning. It is relevant for curriculum design, classroom practice, teacher preparation, and the study of how students develop mathematical understanding.

Related Wikipedia Page

Mathematics education (Wikipedia)

Useful Links

Key Ideas

  • Instructional design and student engagement
  • Meaningful mathematical discourse and representation
  • Research-informed practice in classroom settings

Typical Uses

Used by teachers, researchers, and curriculum designers when planning lessons, studying learning outcomes, or evaluating instructional resources for mathematics and society.

Applications

  • Classroom lesson planning and instructional design
  • Teacher education and professional development
  • Curriculum evaluation and educational research

References

Recommended Textbooks

97A70 Theoretical and general aspects of mathematics education

Overview

This topic concerns theoretical and general aspects of mathematics education in the context of mathematics teaching and learning. It is relevant for curriculum design, classroom practice, teacher preparation, and the study of how students develop mathematical understanding.

Related Wikipedia Page

Mathematics education (Wikipedia)

Useful Links

Key Ideas

  • Instructional design and student engagement
  • Meaningful mathematical discourse and representation
  • Research-informed practice in classroom settings

Typical Uses

Used by teachers, researchers, and curriculum designers when planning lessons, studying learning outcomes, or evaluating instructional resources for theoretical and general aspects of mathematics education.

Applications

  • Classroom lesson planning and instructional design
  • Teacher education and professional development
  • Curriculum evaluation and educational research

References

Recommended Textbooks

97A80 Popularization of mathematics

Overview

This topic concerns popularization of mathematics in the context of mathematics teaching and learning. It is relevant for curriculum design, classroom practice, teacher preparation, and the study of how students develop mathematical understanding.

Related Wikipedia Page

Mathematics education (Wikipedia)

Useful Links

Key Ideas

  • Instructional design and student engagement
  • Meaningful mathematical discourse and representation
  • Research-informed practice in classroom settings

Typical Uses

Used by teachers, researchers, and curriculum designers when planning lessons, studying learning outcomes, or evaluating instructional resources for popularization of mathematics.

Applications

  • Classroom lesson planning and instructional design
  • Teacher education and professional development
  • Curriculum evaluation and educational research

References

Recommended Textbooks

97A90 Fiction and games

Overview

This topic concerns fiction and games in the context of mathematics teaching and learning. It is relevant for curriculum design, classroom practice, teacher preparation, and the study of how students develop mathematical understanding.

Related Wikipedia Page

Mathematics education (Wikipedia)

Useful Links

Key Ideas

  • Instructional design and student engagement
  • Meaningful mathematical discourse and representation
  • Research-informed practice in classroom settings

Typical Uses

Used by teachers, researchers, and curriculum designers when planning lessons, studying learning outcomes, or evaluating instructional resources for fiction and games.

Applications

  • Classroom lesson planning and instructional design
  • Teacher education and professional development
  • Curriculum evaluation and educational research

References

Recommended Textbooks