Curriculum Design &

Reflective Practices Applied to Math Education

ByHector Valenzuela

Lake Washington Institute of TechnologyWashington Math Conference

Email: hector.valenzuela@lwtech.eduMay 2013

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• Teaching Background1

• Curriculum Design & Reflective Practices2

• Business Background3

• Education Focus4

2

Speaker Background

3

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

6

Philosophical Foundations in Curriculum1

Idealism

2

Realism

3 & 4

Pragmatism & Existentialism

7

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

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Thank you for being a great audience….

Hector.Valenzuela@lwtech.edu