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. Number of Instructional Minutes
- 2250
- IV. Prerequisites
- Math Placement Test score of 5 or MATH095 (C or better)
- Corequisites
- None
- V. Other Pertinent Information
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A minimum of 70% of a student's grade must be determined from proctored assessments and work. These proctored assessments include tests, quizzes, departmental final exam, or other proctored in-class assignments.
A comprehensive departmental final examination is included in this course. The final exam must be at least 20% of the course grade. Study guides, formula sheets, and other aids may not be used on the final exam.
This course meets the General Education requirement for Quantitative Literacy.
- VI. Catalog Course Description
- This course provides a preparation in mathematics for students interested in elementary education. Topics include inductive and deductive reasoning, elementary logic, sets, numeration systems, the real number system and its subsets, number theory, and algebraic equations and inequalities.
- VII. Required Course Content and Direction
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Course Learning Goals
Students will:
- solve problems involving elementary logic, inductive and deductive reasoning, patterns and set operations;
- simplify algebraic expressions;
- solve linear equations, linear inequalities and quadratic equations;
- interpret mathematical operations and solutions in different numeration systems, including Hindu-Arabic, Roman, other ancient, and positional numeration systems;
- perform division and divisibility tests using prime factorizations, greatest common divisors, and greatest common multiples;
- manipulate real numbers and its subsets mathematically by applying their properties, using equivalence classes, and simplifying expressions involving absolute value and negative exponents; and
- solve descriptive problems by translating them into mathematical formulas [Quantitative Literacy].
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Planned Sequence of Topics and/or Learning Activities
- Problem Solving
- inductive reasoning
- deductive reasoning
- patterns and pattern recognition
- estimation and mental math
- Elementary Logic
- negation
- compound statements and connectives
- truth tables for conjunction, disjunction, conditional, and biconditional
- equivalent statements and variations of conditional statements
- Set Theory
- subsets
- set operations
- Venn Diagrams
- Numeration Systems
- Hindu-Arabic, Roman numerals, and other ancient systems
- positional numeration systems and other bases
- operations using the decimal system and other bases
- Number Theory
- factors, factorizations, prime numbers, and composite numbers
- divisibility rules
- greatest common divisor
- least common multiple
- whole numbers, integers, rational numbers, irrational numbers
- order of operations
- exponents and scientific notation
- properties or real numbers
- clock addition
- absolute value
- Algebra
- algebraic expressions
- linear equations, applications and proportions
- linear inequalities
- quadratic equations
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Assessment Methods for Course Learning Goals
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). -
Reference, Resource, or Learning Materials to be used by Student:
A departmentally-selected textbook will be used. Calculators are not permitted to be used in this course. Details will be provided by the instructor of each course section. See course syllabus.
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Review/Approval Date - 3/06; Core Goals/Objectives added 4/04; Revised 6/2013; New Core 8/2015; Updated 11/2019; Revised 6/1/22