problem id: math focusing on number sense laura fine andrea cohn nicki meshbesher
TRANSCRIPT
Problem ID: Math
Focusing on Number Sense
Laura FineAndrea Cohn
Nicki Meshbesher
Problem Solving Process
Contracting
Problem Identification
Intervention Design
Intervention Implementation
Intervention Evaluation
Closure
Problem Solving Process
Contracting
Problem Identification
Intervention Design
Intervention Implementation
Intervention Evaluation
Closure
Problem Identification
Clarify Concerns
Prioritize Concerns
Collect Baseline Data
Set Goals
Draw an Aim Line
Problem ID: Key Questions
• What does the student know?
• What can the student do?
• Are there patterns to the student’s work?
• How does the student approach unknowns?
• Now what do I do as the teacher?
Problem Identification
Clarify Concerns: Poor math achievement
Prioritize Concerns
Collect Baseline Data
Set Goals
Draw an Aim Line
Clarifying Concerns
What could it be? Number sense• Basic Facts• Measurement• Geometry• Probability• Retention of information• Attention to detail
Problem Identification
Clarify Concerns: Number sense
Prioritize Concerns
Collect Baseline Data
Set Goals
Draw an Aim Line
Concern: Number Sense
What is it?How do we document it?
Number Sense Defined
Having a good
conceptual understanding of numbers and number concepts.
Students with Number Sense
How will you know if a student has number
sense?• Informal Formative Interviews:
o Class discussionso Observationso Warm-ups/Exit ticketso Questioningo Survey/EPR (thumbs up if . . .)o Games/Puzzles
How will you know if an elementary student has
number sense?• Diagnostic/Formative/Summative Assessment Tools available in HCPSS:
o HCPSS Math Learner Profileo SAW 3o FASTT Math Reportso Unit Assessmentso Part 1, 2, & 3 Assessments
o NUMBER SENSE ASSESSMENTS
How will you know if a middle school student has
number sense?• Diagnostic/Formative/Summative Assessment Tools available in HCPSS:
o for a middle school student, like in elementary, the area of need can be identified as computation errors OR conceptual understandingo information can be taken from classroom performance assessments (quizzes/tests)
Number Sense Assessments
• Include targeted questions intended to reveal flawed thinking or gaps in knowledge
• Indicate what area of number sense to target
• 90% or greater is considered passing
Number Sense Assessments
Problem Identification
Clarify Concerns: Number sense-give Number Sense Assessment
Prioritize Concerns: Identify specific skills to target & prioritize (can be more than 1)
Collect Baseline Data
Set Goals
Draw an Aim Line
Prioritizing Concerns
What areas of Number Sense could be targeted?
• Place Value• Decomposition• Ordering numbers• Estimation• Patterns• Comparing Numbers (<, >, =)• Understanding operations (+, -, x, ÷)
Problem Identification
Clarify Concerns: Number sense-give Number Sense Assessment
Prioritize Concerns: Identify specific skills to target & prioritize (can be more than 1)
Collect Baseline Data: have student perform 3 tasks related to specific area of need, record 3 points on the SDF
Set Goals Draw an Aim Line
Problem Identification
Clarify Concerns: Number sense-give Number Sense Assessment
Prioritize Concerns: Identify specific skills to target & prioritize (can be more than 1)
Collect Baseline Data: have student perform 3 tasks related to specific area of need, record 3 points on the SDF
Set Goals: Measureable, attainable in 4-6 weeks
Draw an Aim Line
Problem Solving Process
Contracting
Problem Identification
Intervention Design
Intervention Implementation
Intervention Evaluation
Closure
Let’s practice!