2. Mathematics Is everywhere Daily living provides a math-rich environment Math must be hands-on and DAP Relationships and repetition are key to math learning
3. Concept Development Concepts are the building blocks of knowledge Concepts are acquired through children’s active involvement with their environment Concepts are fostered by solving problems
4. Names Associated with Mathematical Concepts Piaget Two types of knowledge Physical Logico-Mathematical Vygotsky Skills learned from those who have more skills Zone of proximal development Gardner Logical-Mathematical intelligence
5. Math Language Development Math language development occurs as children develop number sense and logical ways of thinking about time, space, and other mathematical ideas Language based on recommendations from NCTM’s Principles and Standards
6. Math Concepts One-to-one correspondence Each object has the value of one Classifying and sorting Grouping objects by a common characteristic—size, shape, or color Patterns, functions, and algebra Sequence of numbers, colors, objects, sounds, shapes, or movements that repeat, in the same order, over and over Seriation
7. Math Concepts (continued) Geometry and spatial sense Children’s awareness of themselves in relation to the people and objects around them Measurement Data analysis and probability Problem solving
8. Math Experiences Games Folder games Lotto games Bingo Matching outdoor activities Counting Climbing Finding shapes Comparing
9. Math across the Curriculum Science Sorting collections Graphing Charting Counting Cooking Measuring Counting Art Outlining Language, literacy, and literature Speaking Reading
10. Manipulatives Create a manipulative center Think about the purpose and objectives The teacher’s role Criteria for selecting materials, including multicultural and needs of identified children Manipulative toys, games, and materials Self-correcting, structured toys Open-ended toys
11. Materials for Developing Math Concepts Children will naturally explore their environments Role of teacher to provide words, materials, and resources to scaffold learning Materials could include Balances Bingo cards Calculators Geoboards Magnetic boards Objects to count, sort, classify, make patterns Table games Table blocks
12. Technology and Mathematics Calculators should be available for use by young children Teachers should review software carefully Open-ended software preferred
13. Observation, Assessment, and Evaluation Assessment is crucial to effective teaching Careful assessment can help you when planning for culturally and linguistically diverse children Anecdotal assessment form helpful Keep anecdotal records on all children
14. Encouraging Family Support Inform them about opportunities for math at home Sorting laundry By color By shape By family members Setting the table
15. Tips for Teachers Encourage exploration by children Focus on process, not “correct” answer Discover together Use Number songs and books Rhymes and rhythm Plan appropriate activities
