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Building Math Vocabulary Skills Patty Norman Logan Toone Davis School District
Why Build Vocab. Skills?
Why Build Vocab. Skills?
Why Build Vocab. Skills?
Mathematics as a Second Language ,[object Object],[object Object],[object Object],[object Object],[object Object]
Mathematics as a Second Language ,[object Object],[object Object],[object Object]
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Strategies:  Semantic Maps New Concept Characteristics Characteristics Characteristics Characteristics Category Example Example Example What it’s Not
Strategies:  Semantic Maps Polynomial Function A function consisting of a monomial or a sum of monomials Terms have coefficients and a variable raised to a power (degree) In standard form if terms are written in descending order of exponents (L-R) Functions f  ( x ) = 3   x  2  + 2   x +  1 ,[object Object],[object Object],[object Object],f  ( x ) =  a n  x  n  +  a n -1   x  n -1  + … + a 1 x + a 0
Try One … Vertical Angle Pairs Characteristics Characteristics Characteristics Characteristics Category Example Example Example What it’s Not
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Building math vocabulary skills

Notas del editor

  1. PATTY:
  2. PATTY:
  3. LOGAN: What does each word imply about content that is being addressed? Is there a different skill set or body of information required with each? Do students really know the difference?
  4. LOGAN: What does each word imply about the task at hand? Is there a different skill set required with each? Do students really know the difference?
  5. PATTY:
  6. PATTY:
  7. PATTY:
  8. PATTY:
  9. PATTY:
  10. PATTY:
  11. PATTY:
  12. LOGAN: Also known as concept maps
  13. LOGAN: Example
  14. LOGAN: Have them try one for “Vertical Angle Pairs”
  15. PATTY:
  16. PATTY:
  17. PATTY:
  18. PATTY:
  19. PATTY:
  20. PATTY:
  21. PATTY:
  22. PATTY:
  23. LOGAN: Tell story about UCTM presentation and my misconception about the meaning of the term “variable”
  24. LOGAN:
  25. LOGAN:
  26. LOGAN:
  27. LOGAN: A variable “varies” A constant does not vary (it is a fixed number). Constants can be known or unknown.
  28. LOGAN:
  29. LOGAN: Answer: a variable.
  30. LOGAN: Answer: an unknown constant. If we consider x as a variable, then the left-hand side of the equation can vary. This is problematic because the right-hand side of the equation is fixed.
  31. LOGAN: Answer: a variable. Y is a variable too. It varies with respect to x based on the relationship described by the equation, but it still varies.
  32. LOGAN: Answer: a variable.
  33. LOGAN: Answer: a constant. It is not a single number, it is rather a set of numbers (if we solve it, we find that x is the set of all numbers less than 5), but the set doesn’t vary. More particularly, we could say that x represents an unknown set of constants.
  34. LOGAN: Answer: a variable. Although the domain is limited (x can’t be 5), x still varies. Variable doesn’t mean it can be any real number, it just means “varies”
  35. LOGAN:
  36. LOGAN:
  37. LOGAN:
  38. LOGAN:
  39. LOGAN: