NWCCD 2020-21 Catalog 
    
    Mar 29, 2024  
NWCCD 2020-21 Catalog [This is an Archived Catalog.]

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MATH 1100 - Numbers and Operations for Elementary School Teachers


This course prepares prospective elementary school teachers to be competent in teaching the major concepts and practical skills related to the rational number system with the four arithmetic operations.  Special emphasis is placed on teaching in the context of the National Council of Teachers of Mathematics (NCTM) Standards.  Activities involving math manipulatives will be performed in order to reinforce content.  Students will also observe math lessons being taught in elementary school classrooms.

Credits: 4

Instructional Method Lecture/Lab

Comments: This course may be used for the quantitative reasoning requirement at UW.

Prerequisites:
MATH 0930 Intermediate Algebra with a grade of C or better, or Math placement level 4

Minimum Student Competencies
Upon completion of MATH 1100 Numbers and Operations for Elementary School Teachers, the student will:

  1. Apply Polya’s four-step problem solving process.
  2. Apply appropriate problem solving strategies.
  3. Analyze patterns within sequences and represent them symbolically and graphically.
  4. Recognize and use the language of logic as it relates to mathematical definitions.
  5. Apply the concepts of set theory using set notation, set operations, and Euler & Venn diagrams.
  6. Demonstrate the structure of place value in the Hindu-Arabic base ten number system and extend to other non-base ten number systems.
  7. Show appreciation of the historical development of number and number systems including contributions from diverse cultures.
  8. Define operations of addition, subtraction, multiplication, and division using the language of set theory.
  9. Apply the properties of operations on a given domain with the idea that a small set of rules governs all of arithmetic.
  10. Demonstrate multiple models and methods for number operations and applications within the sets of whole numbers, integers, and rational numbers.
  11. Utilize mental mathematics and computational estimation to demonstrate number sense.
  12. Extend the definition of divides to properties of divisibility.
  13. Apply standard and alternative algorithms to multi-digit computation.
  14. Define and apply the Fundamental Theorem of Arithmetic.
  15. Explore multiple models and strategies to find least common multiple and greatest common factor.
  16. Represent rational numbers in a variety of forms: repeating and terminating decimals, fractions and percentages.
  17. Express mathematical ideas precisely, both verbally and in writing.
  18. Utilize manipulatives to represent abstract concepts for use in the elementary classroom within the context of NCTM Standards.
  19. Critique published articles that deal with mathematics pedagogy.
  20. Observe mathematics lessons presented in an elementary classroom.




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