C&I 275 Spring 07 – Week 2 Student Outline
Types of Learning Experiences
•
– the child controls choice and action
– relates to the ________________view
– the child controls choice and action
– the adult intervenes at some point
– relates to the ________________ view
– the adult chooses the experience and gives some direction for the child’s action.
– relates to the ________________view
Learning Styles
• Individually determined
– may relate to modalities
• auditory
• kinesthetic
– may relate to strengths in particular areas
• ___________________ determined
– race, ethnicity, social class, gender, out-of-school experiences, and special needs
Resources for Learning
• Inside the school
– Counting, patterns, measurement
• Around the playground
– Counting, classification, patterns, measurement
• Neighborhood and community
– Fieldtrips
– May go across the curriculum
Guidelines for Field Experiences
• Consider Transportation
• Consider Special Needs
• Introduce _________________ creatively
• Organize play around places to be visited
• Reflect on experience
• Involve parents
Involving Parents
• Parent-teacher conferences
• Workshops to show that __________________________
• Informal interactions
• Newsletter, encourage suggestions
How Math Concepts Develop
• Terms
– Concepts: the building blocks of knowledge, allow us to ______________ and __________________ information
– Development: refers to changes that take place due to growth and experience
Piaget’s Stages of Cognitive Development
• Sensorimotor Period
– 0 to 2 Years
– Children are learning through their senses and motor activity
– Object Recognition
– Representational Thought – Can think about a solution before acting on a problem
– Understanding and using language
– Fundamental Concepts Developing:
• Observation
• Problem Solving
• One-to-one correspondence
• Number
• Shape
• Spatial sense
• Preoperational Period
– Ages 2 to 7
– Symbolic Behavior – using an object to symbolize something
– Centration- preoperational children- children associate changes in form with changes in amount because they are “centering” on the most obvious characteristic.
– Reversibility~ Preoperational children cannot mentally reverse a change process
– Fundamental Concepts:
• Sets & Classifying
• Comparing
• Counting
• Parts & Wholes
• Language
– Applied Concepts:
• Ordering, Seriation, patterning
• Informal Measurement
– Higher Level Concepts:
• Number Symbols
• Sets & Symbols
NCTM Standards
• Number and Operation
• Geometry and Spatial Awareness
• Patterns and Relationships
• Data Descriptions, Organization, Representation, and Analysis
Bringing Knowledge and Children Together
• Your Knowledge
– Make sure you understand the math you teach
– Don’t be afraid to ask for help
– No matter what, sound enthusiastic
• Assess Children’s Knowledge
– Ask questions
– Observe
– Talk to families
Expanding Firsthand Experiences
• Show how numbers can be used to solve problems
• Ask questions
• Provide opportunities for children to learn from each other