Curriculum Design &
Reflective Practices Applied to Math Education
ByHector Valenzuela
Lake Washington Institute of TechnologyWashington Math Conference
Email: [email protected] 2013
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• Teaching Background1
• Curriculum Design & Reflective Practices2
• Business Background3
• Education Focus4
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Speaker Background
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Curriculum Design – Past Educators
Paulo Friere1921 - 1997
John Dewey1859 - 1952
Maria Montessorie1878 - 1952
Ivan Illich1926 - 2002
Jerome Bruner1915 -
present
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Concept Application to Math
Facilitation
Of Learning
Self Directed Learning
Students Teaching
Each Other
Apply Math Outside
Of Class
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Social Power in Modern Curriculum
Technology Integration
Online Interactions
Social Connectivity
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Philosophical Foundations in Curriculum1
Idealism
2
Realism
3 & 4
Pragmatism & Existentialism
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Psychological Foundations in Curriculum1
Behavior
2
Cognition
3
Human Understanding
8
Philosophical Shifts DevEd Math1
Behavior
2
Cognition
3
Human Understanding
9
Humanistic Education Theory
Humanistic Model
Individual Preferences Learning
Open to New ApproachesStudent is
Focal Point
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Humanistic Education & Changes inDevelopmental College Math
Preferences in Learning Math
Contextual-izationAppliedMath
Facilitaiton
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Diverse Learning Strategies inDevelopmental College Math
Reaching Diverse Learners in Math
EducationContextualization
Reformed Math
Facilitation vs.Lecture
Accelerated Learning
Reducing Student Anxiety
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Curriculum Design – Integration of Material
VerticalHorizontal
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Curriculum Design – Implementation
ImplementationModels
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Curriculum Design – Evaluation
Scientific Methods
Curriculum Evaluation
Humanistic
Method
EvaluationModels
Scientific
Method
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Curriculum Issues
Reform Efforts
Dev. Ed. Math
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Reflective Practices
Schools
• Experiential
Educators
• Teaching
Social
• Instruments
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Reflective Practice – Applications
• School Reform• Professional Development• Continuous Learning• Democratic Approach• Develop Pedagogy
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Reflective Practice – Applications
• Increase Knowledge• Improve Student Skills• Using Reflective Practices at Work
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Reflective Practice – Applications
• Starting Class with Reflective Practices• Muddiest Waters• Evaluating Assessments• Use of Questions• Examining Belief Systems
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Reflective Practice – Applications
• Examining Belief Systems• Understanding Students’ Work• Online Systems and the Reflective Spiral• Facilitation• Problem Solving
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Reflective Practice – Applications
• Personal Capacities• Use of Questions• Use of Inquiry• Use of Empathy and Reframing• Use of Dialogue• Use of Acceptance
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Reflective Practice What goals do you have in the…• Use of Questions• Use of Inquiry• Use of Empathy and Reframing• Use of Dialogue• Use of Acceptance• Use of Reflection for Evaluating Teaching, and utilizing Reflection on an ongoing basis
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Reflective Practices…
Teaching Learning Process
IntrospectionComparison of
Outcomes Teaching
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Reflective Practice and…
Reflection
Collaboration
Continuously Learning
Innovation of Materials
Education Assessments