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.

97Mxx Education and computing technologies

This subtopic introduces the core ideas in education and computing technologies, 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

97M10 Modeling and mathematizing in mathematics education

Overview

This topic concerns modeling and mathematizing in 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 modeling and mathematizing in mathematics education.

Applications

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

References

Recommended Textbooks

97M20 Mathematics applied to physics and technology in education

Overview

This topic concerns mathematics applied to physics and technology 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

  • Digital tools that support visualization and experimentation
  • Interaction design for collaborative mathematical work
  • Balancing access, equity, and mathematical depth

Typical Uses

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

Applications

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

References

Recommended Textbooks

97M30 Mathematics applied to social and behavioral sciences in education

Overview

This topic concerns mathematics applied to social and behavioral sciences 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 mathematics applied to social and behavioral sciences in education.

Applications

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

References

Recommended Textbooks

97M40 Operations research, economics in mathematics education

Overview

This topic concerns operations research, economics in 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 operations research, economics in mathematics education.

Applications

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

References

Recommended Textbooks

97M50 Physics, astronomy, technology, engineering in mathematics education

Overview

This topic concerns physics, astronomy, technology, engineering in 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

  • Digital tools that support visualization and experimentation
  • Interaction design for collaborative mathematical work
  • Balancing access, equity, and mathematical depth

Typical Uses

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

Applications

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

References

Recommended Textbooks

97M60 Biology, chemistry, medicine in mathematics education

Overview

This topic concerns biology, chemistry, medicine in 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 biology, chemistry, medicine in mathematics education.

Applications

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

References

Recommended Textbooks

97M70 Behavioral sciences and psychology in mathematics education

Overview

This topic concerns behavioral sciences and psychology in 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 behavioral sciences and psychology in mathematics education.

Applications

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

References

Recommended Textbooks

97M80 Arts, music in mathematics education

Overview

This topic concerns arts, music in 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 arts, music in mathematics education.

Applications

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

References

Recommended Textbooks

97M99 None of the above

Overview

This topic concerns none of the above 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 none of the above.

Applications

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

References

Recommended Textbooks