MATH102 Mathematics for Educators I

Department of Science, Technology, Engineering & Mathematics: Mathematics

I. Course Number and Title
MATH102 Mathematics for Educators I
II. Number of Credits
3 credits
III. Minimum Number of Instructional Minutes Per Semester
IV. Prerequisites
Math Placement Test score of 7 or MATH103 (C or better)
V. Other Pertinent Information
A comprehensive departmental final examination is required for this course.
VI. Catalog Course Description
This course provides a preparation in mathematics for students interested in elementary education. Topics include elementary logic, sets, relations, functions, numeration systems, whole numbers, integers, and number theory.
VII. Required Course Content and Direction
  1. Learning Goals:

    1. Course
    2. Students will:
      1. solve problems involving elementary logic including inductive and deductive reasoning, patterns and algorithms, set operations, relations and functions;
      2. define the whole numbers using equivalence classes, define the operations for whole numbers using sets, order whole numbers using sets, calculate multiples and powers of whole numbers, use mental math and estimation;
      3. work with numeration systems including Hindu-Arabic, Roman numerals, and other ancient systems;
      4. work with positional numeration systems; perform calculations involving positional numeration systems and other bases; and develop an understanding of the importance of place value and groupings in decimal system and other base systems;
      5. complete prime factorizations and use this to calculate the greatest common divisor and greatest common multiple of two or more numbers; use divisibility rules to test for divisibility; and
      6. define the integers from the whole numbers and develop an understanding of the properties of the integers using the definition of the integers.; define the operations for the integers using equivalence classes; order the integers and simplify expressions involving absolute value and negative exponents.

    3. Core (if applicable)
    4. Category I:
      Mathematics or Science
      Students will be able to:
      1. accurately translate descriptive problems into mathematical formulas and solve them.
      1. evaluate and graph data

      Category III:
      Critical Thinking/Problem Solving
      Students will be able to:
      1. use methods, concepts and theories in new situations(Application Skills).
      1. demonstrate an understanding of solving problems by:
        1. recognizing the problem
        2. reviewing information about the problem
        3. developing plausible solutions
        4. evaluating the results
  2. Planned Sequence of Topics and/or Learning Activities:

    1. elementary logic
      1. inductive reasoning
      2. deductive reasoning
      3. patterns and pattern recognition
      4. algorithms
    2. sets, relations, and functions
      1. set operations
      2. artitions as equivalence relations and equivalence classes
      3. unctions
    3. whole numbers
      1. definition of whole numbers
      2. properties of whole numbers
      3. operations for whole numbers using sets
      4. ordering whole numbers using sets
      5. multiples and powers of whole numbers
      6. mental math and estimation
    4. numeration systems
      1. Hindu-Arabic, Roman numerals and other ancient systems
      2. positional numeration systems and other bases
      3. operations using the decimal system and other bases
    5. number theory
      1. factors, factorizations, and prime numbers
      2. divisibility rules
      3. greatest common divisor and Euclidean Algorithm
      4. least common multiple
    6. integers
      1. define integers from whole numbers
      2. properties of integers
      3. operations for integers and their algorithms
      4. ordering integers
      5. absolute value
      6. negative exponents
  • Assessment Methods for Core Learning Goals:

    1. Course
    2. Students will apply mathematical concepts and principles to identify and solve problems through informal assessment (oral communication among students and between teacher and students) and formal assessment (may include homework, quizzes, exams, projects, and comprehensive final).

    3. Core (if applicable)
    4. Math or Science: Assigned problems require the student to translate a descriptive problem into mathematical statement and solve.

      Critical Thinking and Problem Solving: Critical thinking and problem solving skills are required when creating Venn Diagrams and evaluating the information in the diagram to answer questions posed about the problem. They are also assessed when solving Logic problems.

      Other Evaluative Tools: Exams, quizzes, class participation, and projects as specified in the individual instructor’s course format are utilized.
  • Reference, Resource, or Learning Materials to be used by Students:

    A departmentally selected textbook will be used. Details will be provided by the instructor of each course section. See course format.
  • VIII. Teaching Methods Employed
    Section VIII is not being used in new and revised syllabi as of 12/10/08.

    Review/Approval Date - 3/06; Core Goals/Objectives added 4/04; Revised 6/2013