Oct 01, 2020
MATH 206 - Mathematics for Teachers: Number and Operations
This course focuses on the conceptual and procedural understanding of number and operations including counting, place value, models for operations, set theory, algorithms, and the real number system. Concepts are taught from a problem solving perspective. Course will be offered every year (Fall, Winter, and Spring).
Prerequisites: sophomore standing and an appropriate score on the SAT, ACT, or mathematics placement exam.
Upon successful completion of this course, the student will be able to:
Learner Outcomes Approval Date:
- Identify the structure, properties, characteristics of, and relationships between ancient numeration systems and base numeration systems including the use of appropriate manipulatives to help reveal the underlying structures. 1.D.5
- Demonstrate a working knowledge of the intricacy of learning to count including the distinction between counting as a list of numbers in order and counting to determine a number of objects (cardinality principle). 1.D.4
- Use and explain arithmetic operations of different number systems and their properties through the addition, subtraction, multiplication and division of whole numbers and through the addition and subtraction of rational numbers including fraction and decimal numbers and will be able to explain and solve problems involving standard and alternative algorithms. 1.D.5
- Apply and explain the major concepts of number theory and set theory as they apply to elementary mathematics. 1.D.4, 1.D.5, 1.D.6, 4.A
- Use appropriate technology to investigate and represent concepts, methods and application of mathematical concepts. 1.D.4
- Use principles of mathematical thinking and problem solving to explore, solve, generalize and prove mathematical problems.1.D.3
- Explain of the progression of learning that begins with the base-ten number system, counting and place value, as it builds to the understanding of and operations with whole numbers, fractions and decimal numbers. 1.D.1, 1.D.4.A, 2.A,
- Apply the fundamental principles, concepts, and procedures related to mathematical problem solving. 1.D.2, 1.D.3
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