Course Number: ED303
Course Title: Math Methods
STUDENT LEARNING OUTCOMES

General

The value of any mathematics methods course provided for any level of teaching is determined by the future teacher's ability to understand thoroughly what is to be taught and to be sufficiently trained to set up learning situations.

The student will be able to:

  1. Describe the vision, characteristics, philosophy, and content of an effective contemporary, mathematics compared to a traditional
     program.
  2. Demonstrate understanding of NCTM Professional Standards, positive classroom environment, lesson objectives, lesson
      organization and planning for teaching mathematics.
  3. Describe the vision of mathematics, assessment techniques and types of mathematics standards test used for teaching math to
      children.
  4. Do problem-solving, decision making and communicating skills in mathematics.
  5. Use numeration, number sense, and place value to demonstrate the skills through peer teaching and student teaching at the
      elementary school classroom.
  6. Demonstrate various models or skills in teaching addition, subtraction, multiplication, and division of whole numbers to elementary
      children.
  7. Classify counting numbers as prime and composite, write prime factorization, calculate least common multiple and greatest
      common fact for a given set of counting numbers, and perform fundamental operations on integers and rational numbers.
  8. Develop understanding of non-negative rational numbers expressed as fractions and indicate whether one fraction is less than,
      equal to or greater than the second fraction.
  9. Use models to demonstrate concepts of additions, subtraction, multiplication, and division of fractions.
10. Use models of base ten blocks, regions, money and the number line to develop understanding of decimals and operations on
     decimals, write rational number in fraction form, decimal form, scientific and expanded notation, and use ratio and proportion to
     describe problem situations and to solve percentage problems.
11. Develop lessons in data collection, data analysis, and to use graphs to illustrate its outcomes.
12. Develop and teach lessons on non-standard and standard system of measurement, US Customary and metric systems of
     measurement.
13. Develop knowledge of geometry terminologies and basic geometric concepts, classify angles, bisect angles and present it to the
     appropriate grade level.
14. Classify polygons, and simple closed curves, and also calculate perimeters and areas of certain polygons, prisms, cylinders, cones
     and pyramids and spheres.

Specific

 1. The student will be able to describe the vision, characteristics, philosophy, and content for an effective contemporary mathematics
     compared to a more traditional programs.
     1a. Describe the vision of mathematics education.
     1b. Describe the characteristics of a contemporary school mathematics program and compare those with FSM math curriculum.
     1c. List advantages and disadvantages of a contemporary mathematics
     1d. Describe the basic philosophy of teaching mathematics to children.
     1e. Describe, in general terms, mathematics content as appropriate for any grade level, K-8.

 2. Demonstrate understanding OF NCTM professional standards, positive classroom environment, lesson objectives, lesson
    organization and planning for teaching mathematics.
     2a. Describe the vision of mathematics teaching by NCTM Professional Standards for teaching mathematics.
     2b. List at least 5 characteristics of a positive classroom environment. Instructor evaluates student using the list stated in the
          textbook.
     2c. Write appropriate objectives for mathematics lessons.
     2d. Write a lesson plan for a given topic or skills in mathematics and organize it to include good student participation.

 3. The student will be able to describe the vision of Mathematics, assessment techniques and types of mathematics standard tests
     used for teaching math to children.
     3a. Describe characteristics of standard assessment techniques.
     3b. List types of standard test used in Math teaching.

 4. The student will be able to do problem solving, decision making and communicating skills in Mathematics.
     4a. Describe the nature of problem solving and the problem solving process.
     4b. Write mathematical sentences for solving problems.
     4c. Use inductive and deductive approach in problem solving in the classroom.

 5. The student will be able to use numeration, number sense, and place value and demonstrate the skills through peer teaching and
     student teaching at the elementary school classroom.
     5a. Demonstrate various skills in teaching numeration, number sense, and place value to children.
     5b. Use standard notation, expanded notation, and exponential notation for a given number.

 6. The student will be able to demonstrate various models or skills in teaching addition, subtraction, multiplication, and division of
    whole numbers to elementary children.
     6a. Describe models used to teach children addition, subtraction, multiplication and division of whole numbers.
     6b. Demonstrate various skills in administering timing test in addition, subtraction, multiplication, and divisions of whole numbers.
     6c. Demonstrate various math algorithm in calculating addition, subtraction, multiplication, and division.
     6d. Demonstrate regrouping in addition, subtraction, multiplication, and division using place value box.

 7. The student will be able to classify counting numbers as prime and composite, write prime factorization, calculate least common
     multiple and greatest common factor for a given set of counting numbers, and perform fundamental operations on integers and
     rational numbers.
     7a. Classify counting numbers as prime or composite
     7b. Write the prime factorization of any given counting numbers.
     7c. Calculate the greatest common factor and least common multiple for a given set of counting numbers.
     7d. Demonstrate the rules of divisibility for any given counting numbers.
     7e. Define the terms integers, rational number, and real number and perform the fundamental operations.

 8. The student will be able to develop understanding of nonnegative rational numbers expressed as factions and indicate whether one
     fraction is less than, equal to or greater than the second fraction.
     8a. Develop understanding of nonnegative rational number expressed as fractions.
     8b. Write fractions in simplest form and indicate whether one fraction is less than, equal to, or greater than a second fraction.

 9. The student will be able to use models to demonstrate concepts of addition, subtraction, multiplications, and division of fractions.
     9a. Demonstrate concepts of addition, subtraction, multiplications and divisions of fractions using region, groups, and number lines.

10. The student will be able to use models of base ten blocks, regions, money and the number line to develop understanding of
     decimals and operations on decimals, write rational number in fraction form, decimal form, scientific and expanded notation, and
     use ratio and proportion to describe problem situations and to solve percentage problems.
     10a. Use models like Base ten blocks, regions, money, and the number line to develop understanding of decimals and operations on
           decimals.
     10b. Write any given rational number in fraction form, decimal form, expanded and scientific notation.
     10c. Use ratio and proportion to describe problem situations and to solve percent problems.

11. The student will be able to develop lessons in data collection, data analysis, and to use graphs to illustrate its outcomes.
     11a. Define the terms range, mean, median, and mode in relationship with data analysis.
     11b. Determine the possible outcomes from different events using experimental and theoretical probability.
     11c. Develop lessons incorporating graphs, frequency polygon, histogram, bar graphs, line graphs, pictograph, scatter plots,
            stem-leaf plots for a given set of data.

12. The student will be able to develop and teach lessons on nonstandard and standard of measurement, US customary and metric
      systems of measurement.
     12a. Teach a lesson on the metric and the U.S. Customary system of measurement.
     12b. Teach a lesson on money and time concepts to peers.

13. The student will be able to develop knowledge of geometry terminologies and basic geometric concepts, classify angles, bisect
      angles and present it to the appropriate grade level.
     13a. Use correct terminology for basic geometric concepts, classify angles according to their measures, and bisecting given
            angles.
     13b. Demonstrate correct mathematical notation for figures such as lines, line segments, rays, and angles.

14. The student will be able to classify polygons, and simple closed curves, and also calculate perimeters and areas of certain
     polygons, prisms, cylinders, cones, pyramids and spheres.
     14a. Classify polygons and simple closed curves and calculate perimeters and areas prisms, cylinders, cones, circles, pyramids, and
            spheres.
     14b. Calculate volume and lateral areas of prism, cones, cylinders, and pyramids, and spheres.