MATH 127 Concepts of Mathematics I

This course is for students in the elementary education and early childhood education programs. Students will study the structural aspects of mathematics and the 'why' of arithmetical computations. Mental arithmetic is a required component of this course. Topics include sets, functions, logic, numeration systems, algorithms and their historical development, estimation, mental computations, and elementary number theory. Special emphasis is given throughout the course to problem-solving techniques.

Credits

4

Prerequisite

A grade of B or better in MATH 067 or MATH 067E, or appropriate score on mathematics placement test

Hours Weekly

4 hours weekly

Course Objectives

1. Solve a variety of problems using Polya's problem solving techniques.
2. Explain the steps of common arithmetic algorithms.
3. Compute in non-decimal number systems.
4. Perform mental calculations and estimations.
   
5. Use a calculator to occasionally help solve mathematical problems.
6. Explain examples and proofs from number theory.
7. Apply rules of logic to mathematical and other problems.
   
8. Use mathematical symbols correctly.
   

Course Objectives

1. Solve a variety of problems using Polya's problem solving techniques.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Quizzes

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric

   Quantitative Reasoning

   • QR4
2. Explain the steps of common arithmetic algorithms.

   This objective is a course Goal Only

3. Compute in non-decimal number systems.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Quizzes

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric

   Quantitative Reasoning

   • QR3
4. Perform mental calculations and estimations.
   

   This objective is a course Goal Only

5. Use a calculator to occasionally help solve mathematical problems.

   This objective is a course Goal Only

6. Explain examples and proofs from number theory.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Quizzes

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric

   Quantitative Reasoning

   • QR1
7. Apply rules of logic to mathematical and other problems.
   

   This objective is a course Goal Only

8. Use mathematical symbols correctly.
   

   Learning Activity Artifact

   • Other (please fill out box below)
   • Quizzes

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric

   Quantitative Reasoning

   • QR2