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.

97Uxx Educational media and resources

This subtopic introduces the core ideas in educational media and resources, 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

97U10 Comprehensive works on materials in mathematics education

Overview

This topic concerns comprehensive works on materials 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 comprehensive works on materials in mathematics education.

Applications

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

References

Recommended Textbooks

97U20 Textbooks in mathematics education

Overview

This topic concerns textbooks 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 textbooks in mathematics education.

Applications

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

References

Recommended Textbooks

97U30 Teacher manuals and planning aids in mathematics education

Overview

This topic concerns teacher manuals and planning aids 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 teacher manuals and planning aids in mathematics education.

Applications

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

References

Recommended Textbooks

97U40 Problem books, competitions, examinations in mathematics education

Overview

This topic concerns problem books, competitions, examinations 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

  • Problem posing and strategy selection
  • Mathematical reasoning and representation
  • How productive struggle supports learning

Typical Uses

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

Applications

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

References

Recommended Textbooks

97U50 Computer assisted instruction and programmed instruction in mathematics education

Overview

This topic concerns computer assisted instruction and programmed instruction 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 computer assisted instruction and programmed instruction in mathematics education.

Applications

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

References

Recommended Textbooks

97U60 Manipulative materials in mathematics education

Overview

This topic concerns manipulative materials 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 manipulative materials in mathematics education.

Applications

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

References

Recommended Textbooks

97U70 Aids for teaching in mathematics education

Overview

This topic concerns aids for teaching 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 aids for teaching in mathematics education.

Applications

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

References

Recommended Textbooks

97U80 Audiovisual media in mathematics education

Overview

This topic concerns audiovisual media 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 audiovisual media in mathematics education.

Applications

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

References

Recommended Textbooks

97U99 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