MATH 127 - Mathematics for Elementary Education I

1. Examine the connection between student learning in mathematics and a teacher’s positive attitude toward mathematics.
2. Explain and defend solutions including the use of definitions along with mathematical proof to clarify ideas found in elementary mathematics.
3. Identify and use associative, commutative, identity, inverse, and distributive properties.
4. Apply the order of operations to perform computations with fractions, decimals and integers.
5. Perform operations using standard and alternative algorithms and apply estimation strategies and mental math techniques for whole numbers, integers and decimals.
6. Construct and apply models and manipulatives (chip models, bar diagrams, area models, and so forth) to organize, record, and communicate mathematical ideas.
7. Apply place value concepts including writing and reading numbers, rounding decimals, and using place value models.
8. Analyze and explain patterns and find the next item in a sequence.
9. Demonstrate the ability to clearly and completely communicate the rules for working with fractions, ratios, proportions, rates, and exponents.
10. Use and explain the basic concepts from number theory such as divisibility, prime number, GCF, and LCM.
11. Demonstrate the understanding of percent and convert between decimals, fractions and percents.
12. Solve a variety of application problems in the above areas using an appropriate strategy and check reasonableness of answers.
13. Use manipulatives, models, and diagrams to support teaching and learning in topics studied.
14. Use computer technology, which may include the Internet, the Web, email, or computer software, to enhance the course objectives.

• Patterns
• Place-value and place-value models
• Mental math techniques and estimation strategies
• Standard and alternative algorithms
• Solving word problems
• Divisibility, prime numbers, and the Fundamental Theorem of Arithmetic
• Least common multiple
• Greatest common divisor
• The Euclidean Algorithm.
• Operations with whole numbers, fractions, decimals, and integers

 
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