Early Childhood Math Examples - Sybilla Beckmann

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Early Childhood Math Examples - Sybilla Beckmann

  1. 1. Examples Sybilla Beckmann Department of Mathematics, University of Georgia STEM Summit 2010 Sybilla Beckmann (UGA) Examples 1 / 12
  2. 2. What is there to know about counting? If a child can correctly say the first five counting numbers, “one, two, three, four, five,” will the child necessarily be able to determine how many blocks there are in this collection? Why or why not? Sybilla Beckmann (UGA) Examples 2 / 12
  3. 3. What is there to know about counting? Child 1: Child 2: “1” “2” “3” “4” “1” “2” “3” “4” Child 3: Child 4: “1” “2” “3”“4” “5” “6” “1” “2” “3”“4” “5” “6” Sybilla Beckmann (UGA) Examples 3 / 12
  4. 4. What is there to know about counting? Teacher: “How many blocks are there?” Child 1: Child 2: “1” “2” “3” “4” “5” “1” “2” “3” “4” “5” Teacher: “So how many blocks are there?” Child 1: Child 2: “Five all together!” “1” Sybilla Beckmann (UGA) “4” “2” “3” “5” Examples 4 / 12
  5. 5. Building connections Math is connected across grade levels and across topics A common spirit and approach can connect math and the sciences: inquiry expecting ideas to make sense engagement, exploration, and playfulness Sybilla Beckmann (UGA) Examples 5 / 12
  6. 6. Early math connects to later math Young children make pictures and designs with pattern tiles Sybilla Beckmann (UGA) Examples 6 / 12
  7. 7. Early math connects to later math Young children can compose and decompose shapes to make new shapes Sybilla Beckmann (UGA) Examples 7 / 12
  8. 8. Early math connects to later math Grouping to create a new unit 10 ones are grouped to form one ten Sybilla Beckmann (UGA) Examples 8 / 12
  9. 9. Early math connects to later math Determining areas 6 cm What is the 3 cm 6 cm area of the shaded 7 cm shape? 4 cm 12 cm Method 1 Method 2 Method 3 7×6 + 4×6 3×6 + 4×12 7×12 - 3×6 Sybilla Beckmann (UGA) Examples 9 / 12
  10. 10. Early math connects to later math Understanding the common multiplication algorithm 10 + 4 14 ×13 10 10×10 10×4 12 30 40 + 100 3 3×10 3×4 182 Sybilla Beckmann (UGA) Examples 10 / 12
  11. 11. Early math connects to later math Understanding the triangle area formula One method: h b h b÷2 Sybilla Beckmann (UGA) Examples 11 / 12
  12. 12. Early math connects to later math Understanding the triangle area formula Another method: h h b b h b Sybilla Beckmann (UGA) Examples 12 / 12
  13. 13. Early math connects to later math Calculus y 1 y = x2 dx 1 x 1 1 1 3 1 area under curve = x 2 dx = x = 0 3 0 3 Sybilla Beckmann (UGA) Examples 13 / 12

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