ࡱ> IKHg bjbj** F=HibHibP P 84LT+:8+:+:+:+:+:+:+$-}0^+^+s+8+8+rT)TT*5^QC)$++0+)11T*1T*^+^++1P B :  GROSSMONT COLLEGE Official Course Outline MATHEMATICS 126 STRUCTURE AND CONCEPTS OF ELEMENTARY MATHEMATICS II 1. Course Number Course Title Semester Units Semester Hours MATH 126 Structure and Concepts of 3 3 hours lecture: 48-54 hours Elementary Mathematics II 1 hour lab: 16-18 hours 96-108 outside-of-class hours 160-180 total hours 2. Course Prerequisites A C grade or higher or Pass in Math 125 or equivalent Corequisite None. Recommended Preparation None. 3. Catalog Description Blending the mathematical topics of probability, statistics, relations, functions, graphs, measurement, coordinate geometry, plane geometry, solid geometry, logic, and number sense. The course will investigate the interrelationships of the above topics using a problem-solving approach. The course will also investigate the appropriate use of technology in the classroom. 4. Course Objectives The student will: a. Compute the measurements of geometric figures including areas, perimeters, volumes and surface areas. b. Compare and contrast the different measurement systems. c. Calculate the coordinates of geometric figures and develop and use algebraic equations. d. Demonstrate knowledge of proportional reasoning from a geometrical point of view. e. Construct and analyze geometrical shapes in both two and three dimensions. f. Prove basic congruence and similarity theorems for triangles. g. Develop elementary relationships of transformational geometry and number theory. h. Demonstrate the elementary concepts of descriptive statistics (graphs of data, measures of central tendency, dispersion). I Demonstrate the elementary concepts of probability. j. Develop elementary relationships of transformational geometry and number theory. k. Investigate the appropriate use and assessment of technology in the classroom. l. Using concrete models, demonstrate the fundamental concepts of mathematics. 5. Instructional Facilities a. Standard classroom equipped with: 1) Whiteboards 2) Overhead projector/document camera 3) Smart Cart b. Math manipulatives. MATHEMATICS 126 STRUCTURE AND CONCEPTS OF ELEMENTARY MATHEMATICS II page 2 6. Special Materials Required of Student a. Scientific calculator. b. Protractor, compass, and ruler. 7. Course Content Problem-solving strategies and its history. Linear and second degree functions and their graphs. Measurement systems and their application to two and three dimensional geometrical shapes. Coordination of geometry. Proportional reasoning. Concepts of probability and statistics. Examples of childrens mathematical thinking. Transformational geometry. Historical contributions of spatial and math theories. Concepts from diverse cultures. 8. Method of Instruction Lecture-discussion sessions. Active student participation in the learning process will be required. Student-to-student interaction. Use of manipulative materials. Group investigations in a problem-solving environment. Field trip may be included. 9. Methods of Evaluating Student Performance seq level1 \*alphabetica. Homework seq level1 \*alphabeticb. Quizzes seq level1 \*alphabeticc. Papers and/or journal d. Lab assignments e. Exams f. In-class comprehensive final exam. 10. Outside Class Assignments a. Problem sets/homework b. Watching videos of children using mathematics to solve problems. c. Reading and reflecting on research articles focused on childrens mathematical thinking and writing a reflection paper explaining how the articles relate to mathematics education. 11. Texts a. Required Text(s): 1) Musser, Gary L., William F. Burger, and Black E. Peterson. Mathematics for Elementary Teachers - A Contemporary Approach. New York, NY: John Wiley and Sons, Inc, 2006, 9th ed 2) Sowder, Judith, Sowder, Larry, and Nickerson, Susan. Reconceptualizing Mathematics for Elementary School Teachers, New York, NY: Freeman, 2010, 1st ed b. Supplementary texts and workbooks: None. MATHEMATICS 126 STRUCTURE AND CONCEPTS OF ELEMENTARY MATHEMATICS II page 3 Addendum: Student Learning Outcomes Upon completion of this course, our students will be able to do the following: Demonstrate knowledge of basic geometry vocabulary. Demonstrate the elementary concepts of statistics. Demonstrate the elementary concepts of probability. Think logically, using inductive reasoning to formulate reasonable conjectures and using deductive reasoning for justification, formally or informally. Use formulas and Pythagorean Theorem to find perimeter, area and volume State and apply congruence and similarity properties. Demonstrate knowledge of geometric concepts in the K-8 curriculum. 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