As an administrator, monitoring implementation helps ensure your investment in InsightMath delivers the intended results. The following indicators provide a structured framework for classroom observations, teacher coaching, and program evaluation discussions.
Classroom Environment Indicators
Student Engagement
- Mathematical Discourse: Students regularly explain their thinking, question each other's reasoning, and build on peers' ideas
- Active Participation: All students have multiple opportunities to engage in mathematical thinking during each lesson
- Student Agency: Students select tools and strategies appropriate to the task rather than waiting for teacher direction
Instructional Materials
- Visual Models: Spatial-temporal models and manipulatives are consistently used to develop conceptual understanding
- Learning Artifacts: Student work samples and thinking prominently displayed and referenced during instruction
- Technology Integration: Digital tools are purposefully incorporated to enhance learning, not substitute for conceptual development
Instructional Practice Indicators
Teacher Role
- Facilitation: Teachers pose thoughtful questions rather than demonstrating procedures
- Wait Time: Sufficient time provided for students to think before responding
- Responsive Teaching: Instruction adjusts based on student responses and demonstrated understanding
Learning Process
- Productive Struggle: Students persevere through challenging tasks without immediate teacher intervention
- Multiple Strategies: Various solution approaches are elicited, compared, and connected
- Conceptual Focus: Understanding of mathematical relationships takes precedence over procedural fluency
Assessment Practice Indicators
Formative Assessment
- Embedded Checks: Teachers use "Look Fors" and questioning to gauge understanding throughout the lesson
- Actionable Feedback: Students receive timely, specific guidance focused on mathematical thinking
- Instructional Adjustments: Teaching plans adapt based on assessment data
Student Self-Assessment
- Metacognition: Students reflect on their own learning and thought processes
- Perseverance: Students demonstrate resilience when facing challenges
- Learning Ownership: Students can articulate what they're learning and why it matters
Data to Collect and Analyze
- Frequency and quality of mathematical discourse (through observation protocols)
- Student work samples showing multiple solution strategies
- Teacher lesson annotations showing adjustments based on student needs
- Exit ticket data demonstrating conceptual understanding
- Student reflection responses from Thinking Path activities
Using This Framework
Consider using these indicators to:
- Structure brief classroom walkthroughs (10-15 minutes)
- Guide pre- and post-observation conferences
- Focus professional learning community discussions
- Identify exemplar classrooms for peer observation
- Track implementation progress throughout the year
Remember that implementation develops over time. Early in the school year, focus on classroom environment indicators before moving to deeper instructional and assessment practices. Creating a supportive atmosphere where teachers feel comfortable taking instructional risks is essential for genuine adoption. Look for progress rather than perfection, and celebrate small wins that move your campus toward the full instructional vision.