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.

97Dxx Research in mathematics education

This subtopic introduces the core ideas in research in mathematics education, 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

97D10 Comparative studies in mathematics education

Overview

This topic concerns comparative studies 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 comparative studies in mathematics education.

Applications

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

References

Recommended Textbooks

97D20 Philosophical and theoretical contributions in mathematics education

Overview

This topic concerns philosophical and theoretical contributions 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 philosophical and theoretical contributions in mathematics education.

Applications

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

References

Recommended Textbooks

97D30 Teaching methods and classroom techniques in mathematics education

Overview

This topic concerns teaching methods and classroom techniques 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 teaching methods and classroom techniques in mathematics education.

Applications

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

References

Recommended Textbooks

97D40 Teaching with technology in mathematics education

Overview

This topic concerns teaching with technology 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 teaching with technology in mathematics education.

Applications

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

References

Recommended Textbooks

97D50 Teaching problem solving and heuristic strategies in mathematics education

Overview

This topic concerns teaching problem solving and heuristic strategies 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 teaching problem solving and heuristic strategies in mathematics education.

Applications

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

References

Recommended Textbooks

97D60 Student assessment and testing in mathematics education

Overview

This topic concerns student assessment and testing 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

  • Designing tasks that reveal student reasoning
  • Using formative feedback to guide instruction
  • Interpreting evidence of understanding across contexts

Typical Uses

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

Applications

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

References

Recommended Textbooks

97D70 Learning difficulties and student errors in mathematics education

Overview

This topic concerns learning difficulties and student errors 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 learning difficulties and student errors in mathematics education.

Applications

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

References

Recommended Textbooks

97D80 Teaching units and guidelines in mathematics education

Overview

This topic concerns teaching units and guidelines 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 teaching units and guidelines in mathematics education.

Applications

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

References

Recommended Textbooks