Assessment framework: Knowledge for teaching mathematics

Mathematics content knowledge framework

Content knowledge domains

• Number
• Geometry
• Algebra
• Data

Cognitive Domains

• Knowing
  • Recall
  • Recognize
  • Compute
  • Retrieve
  • Measure
  • Classify/order
• Applying
  • Select
  • Represent
  • Model
  • Implement
  • Solve routine problems
• Reasoning
  • Analyze
  • Generalize
  • Synthesize/integrate
  • Justify
  • Solve non-routine problems

Mathematics pedagogical content knowledge framework

• Mathematical curricular knowledge
• Knowledge of planning for mathematics teaching and learning (pre-active)
• Enacting Mathematics for Teaching and Learning (interactive)

Beliefs

• About the nature of mathematics
• About learning mathematics
• About mathematics achievement
• About preparedness for teaching mathematics
• About program effectiveness

Opportunities to learn

• University- or tertiary-level mathematics
• School-level mathematics
• Mathematics education/pedagogy
• General knowledge for teaching
• Teaching for diversity and reflection on practice
• In schools and through the practicum
• In a coherent teacher education program

Contextual framework

Future teachers' background and demographics

• Age
• Gender
• Parents’ education/socioeconomic status
• Language spoken at home
• Nature and level of secondary school mathematics knowledge
• Information on academic/general education
• Area of specialization
• Routes into teaching
• Degrees obtained
• Teaching/work experience
• Motivation/plans/intention to become a mathematics teacher
• Special circumstances/personal costs of becoming a teacher
• How long the future teacher plans to stay in the profession

Policy and context

• Teacher preparation routes
• Teacher education policy
• National and teacher education curricula
• The costs of becoming and preparing a mathematics teacher