Concept Development
Principles of Standards of School mathematics
Standards
Types of Learning Experiences
Theories and Practices
100
Building blocks of knowledge: they allow people to organize and categorize information.
What are concepts?
100
High expectations and strong support for all students.
What is the Equity?
100
Developed national standards for Early Childhood Education
What is National Association for the Education of Young Children (NAEYC)?
100
Those in which the child controls choice and action. They are initiated spontaneously by children as they go about their daily activities.
What are Naturalistic experiences?
100
Nine Intelligences: linguistic, logical-mathematical, bodily-kinesthetic, interpersonal, intrapersonal, musical, spatial, naturalistic, and existential.
What is Howard Gardner's Theory of Multiple Intelligence?
200
Refers to changes that take place as a result of growth and experience.
What is Development?
200
More than a collection of activities; must be coherent, focused on important mathematics, and well articulated across the grades.
What is Curriculum?
200
Developed national standards for mathematics.
What is the National Council of Teachers of Mathematics (NCTM)?
200
Where the child chooses the activity and action, but with adult intervention at some point. They are initiated by the adult as the child is engaged in an experience. They are not planned for a specific time.
What are Informal experiences?
200
Assess, Choose objectives, Plan Experiences, Select materials, Teach, Evaluate.
What are the Six Steps in Instruction?
300
Passing apples one a a time to each child at a table; putting pegs in pegboard holes; putting a car in each garage.
What are examples of One-to-One Correspondence?
300
Effective mathematics teaching requires and understanding of what students know and need to learn, and then challenging and supporting them to learn it well.
What is Teaching?
300
Developed national standards for science.
What is the National Research Council (NRC)?
300
Where the adult chooses the experience for the child and gives some direction to the child's action. They are planned lessons or activities.
What are Adult-guided experiences?
300
1. Identifying a problem and communicating it in a way that is understood. 2. Determining what the outcome of solving the problem might be. 3. Exploring possible solutions and applying them to the problem. 4. Explaining the possible solutions and revised solution.
What are the Four Steps in Science Problem Solving?
400
Placing square shapes in one pile and round shapes in another.
What are examples of Classifying?
400
Should support the learning of important mathematics and furnish useful information to both teachers ans students.
What is Assessment?
400
Provide guidance as to what children should know and be able to do at different ages and stages.
What are Standards?
400
Do not have one right answer, but provide an opportunity for creativity, guessing and experimenting.
What are Divergent questions and directions?
400
Jean Piaget's four periods of cognitive, or mental, growth and development: Sensorimotor, Pre-operational, Concrete Operations, and Formal Operations.
What are the periods of the Cognitive Development Theory?
500
Pour sand, water, pebbles or other materials from one container to another.
What is Measuring?
500
Equity-Curriculum-Teaching-Learning-Assessment-Technology
What are the six principles of mathematics instruction (NCTM,2000)?
500
Developed by the National Science Teachers Association (NSTA) together with the National Academy of Sciences and the American Association for the Advancement of Science (AAAS).
What is the Next Generation Science Standards (NGSS)?
500
Ask for a specific response of an activity.
What are Convergent questions and directions?
500
People construct their own understandings by attaching new experiences to experiences they already hold in such a way that the resulting conceptualizations make sense to them.
What is the Concept of Constructivism?
M
e
n
u