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MAT116 - Math for Elementary Teachers 1
Catalog Description: Focuses on foundational concepts of number theory, arithmetic, and algebra that underlie the elementary school mathematics curriculum. Emphasizes problem solving and the historical development of numeration systems and other mathematical concepts. Prerequisite: MAT092 with a grade of C or better, or equivalent by placement.
Lecture: 3 hrs.
Course Learning Outcomes (CLOs):
By the end of the course, students will be able to:
1. describe (orally or in writing in 1-2 paragraphs each) at least four different numeration systems (including Egyptian, Mayan, Roman, and Indo-Arabic) and at least two non-decimal positional numeration systems (i.e., bases other than 10) and represent at least six given whole numbers less than 10,000 in each system
2. list and describe (in one paragraph each) George Polya's four problem-solving principles*
3. list and describe principles (in one paragraph each) at least ten common problem-solving strategies
4. select appropriate mathematical models to represent given quantitative problems, correctly apply appropriate strategies for solving them, and clearly explain (in writing) the techniques and strategies used in each step, in at least 4 out of 5 examples
5. explain (orally or in writing) the steps employed in traditional algorithms for addition, subtraction, multiplication, and division of whole numbers
6. illustrate addition and subtraction of integers in at least two different ways, either visually and/or with physical objects
7. explain (orally or in writing) the reasons for each step needed for addition, subtraction, multiplication, and division of fractions and decimals and for comparing relative sizes of two rational numbers
8. analyze the connection between selected learning activities and the NCTM Standards for School Mathematics, in journal entries of 1-3 paragraphs each, for at least 3 activities*
* This course objective has been identified as a student learning outcome that must be formally assessed as part of the Comprehensive Assessment Plan of the college. All faculty teaching this course must collect the required data and submit the required analysis and documentation at the conclusion of the semester to the Office of Institutional Research and Assessment.
I. Thinking Critically and Creative Problem Solving
II. Sets, Operations with whole numbers, and Functions
III. Numeration Systems and Computation
IV. Number Theory
VII. Decimals, Ratios, Proportions, and Percents
VIII. Historical Development of Mathematics
Effective Term: Fall 2012