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.

97Fxx Education in geometry

This subtopic introduces the core ideas in education in geometry, 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

97F20 Pre-numerical stage, concept of numbers in education

Overview

This topic concerns pre-numerical stage, concept of numbers 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 pre-numerical stage, concept of numbers in education.

Applications

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

References

Recommended Textbooks

97F30 Natural numbers in education

Overview

This topic concerns natural numbers 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 natural numbers in education.

Applications

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

References

Recommended Textbooks

97F40 Integers, rational numbers in education

Overview

This topic concerns integers, rational numbers 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 integers, rational numbers in education.

Applications

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

References

Recommended Textbooks

97F50 Real numbers, complex numbers in education

Overview

This topic concerns real numbers, complex numbers 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 real numbers, complex numbers in education.

Applications

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

References

Recommended Textbooks

97F60 Number theory in education

Overview

This topic concerns number theory 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 number theory in education.

Applications

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

References

Recommended Textbooks

97F70 Measures and units in education

Overview

This topic concerns measures and units 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 measures and units in education.

Applications

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

References

Recommended Textbooks

97F80 Recreational arithmetic in education

Overview

This topic concerns recreational arithmetic 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 arithmetic in education.

Applications

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

References

Recommended Textbooks

97F90 Real functions in education

Overview

This topic concerns real functions 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 real functions in education.

Applications

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

References

Recommended Textbooks