problem id: math focusing on number sense laura fine andrea cohn nicki meshbesher
TRANSCRIPT
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Problem ID: Math
Focusing on Number Sense
Laura FineAndrea Cohn
Nicki Meshbesher
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Problem Solving Process
Contracting
Problem Identification
Intervention Design
Intervention Implementation
Intervention Evaluation
Closure
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Problem Solving Process
Contracting
Problem Identification
Intervention Design
Intervention Implementation
Intervention Evaluation
Closure
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Problem Identification
Clarify Concerns
Prioritize Concerns
Collect Baseline Data
Set Goals
Draw an Aim Line
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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?
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Problem Identification
Clarify Concerns: Poor math achievement
Prioritize Concerns
Collect Baseline Data
Set Goals
Draw an Aim Line
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Clarifying Concerns
What could it be? Number sense• Basic Facts• Measurement• Geometry• Probability• Retention of information• Attention to detail
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Problem Identification
Clarify Concerns: Number sense
Prioritize Concerns
Collect Baseline Data
Set Goals
Draw an Aim Line
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Concern: Number Sense
What is it?How do we document it?
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Number Sense Defined
Having a good
conceptual understanding of numbers and number concepts.
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Students with Number Sense
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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
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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
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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)
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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
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Number Sense Assessments
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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
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Prioritizing Concerns
What areas of Number Sense could be targeted?
• Place Value• Decomposition• Ordering numbers• Estimation• Patterns• Comparing Numbers (<, >, =)• Understanding operations (+, -, x, ÷)
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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
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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
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Problem Solving Process
Contracting
Problem Identification
Intervention Design
Intervention Implementation
Intervention Evaluation
Closure
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Let’s practice!