MATH 037 Mathematical Foundations

This course is for students in developmental mathematics who plan on taking a Statistics or liberal arts mathematics course. Using data analysis, the course develops and integrates quantitative relationships, algebraic reasoning, functional reasoning, probabilistic and statistical reasoning with a focus on communication skills. Students will develop conceptual, procedural, and technological tools that support the use of key mathematical concepts in a variety of real-world contexts.

Credits

4

Prerequisite

An appropriate score on the mathematics placement test, or a grade of B or higher in MATH 061, or a grade of C or higher in MATH 063 AND eligible to enroll in ENGL 086 or ENGL 096

Corequisite

FYEX 100

Hours Weekly

4 hours weekly

Course Objectives

1. Quantitative Relationships: Students will describe numerical relationships and solve real-world problems involving categorical and quantitative data.
   
2. Patterning and Algebraic Reasoning: Students will transition from specific and numeric reasoning to general and abstract reasoning using the language and structure of algebra to investigate, represent, and solve problems.
3. Functional Reasoning: Students will represent linear and exponential relationships using multiple representations.
   
4. Probabilistic Reasoning: Students will investigate chance processes and develop, use, and evaluate probability models.
   
5. Statistical Reasoning: Students will use random sampling to draw inferences about a population and develop understanding of statistical variability.
6. Communicate mathematical concepts using appropriate symbols, notation, and vocabulary.
   
7. Identify and implement appropriate technologies to complete tasks involving data analysis.
   

Course Objectives

1. Quantitative Relationships: Students will describe numerical relationships and solve real-world problems involving categorical and quantitative data.
   

   Learning Activity Artifact

   • Other (please fill out box below)
   • Homework and exams

   Procedure for Assessing Student Learning

   • Other (please fill out box below)
   • Solution keys
2. Patterning and Algebraic Reasoning: Students will transition from specific and numeric reasoning to general and abstract reasoning using the language and structure of algebra to investigate, represent, and solve problems.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Homework and exams

   Procedure for Assessing Student Learning

   • Other (please fill out box below)
   • Soultion keys
3. Functional Reasoning: Students will represent linear and exponential relationships using multiple representations.
   

   Learning Activity Artifact

   • Other (please fill out box below)
   • Homework and exams

   Procedure for Assessing Student Learning

   • Other (please fill out box below)
   • Solution keys
4. Probabilistic Reasoning: Students will investigate chance processes and develop, use, and evaluate probability models.
   

   Learning Activity Artifact

   • Other (please fill out box below)
   • Homework and exams

   Procedure for Assessing Student Learning

   • Other (please fill out box below)
   • Solution keys
5. Statistical Reasoning: Students will use random sampling to draw inferences about a population and develop understanding of statistical variability.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Homework and exams

   Procedure for Assessing Student Learning

   • Other (please fill out box below)
   • Solution keys
6. Communicate mathematical concepts using appropriate symbols, notation, and vocabulary.
   

   Learning Activity Artifact

   • Other (please fill out box below)
   • Homework and exams

   Procedure for Assessing Student Learning

   • Other (please fill out box below)
   • Solution keys
7. Identify and implement appropriate technologies to complete tasks involving data analysis.
   

   Learning Activity Artifact

   • Other (please fill out box below)
   • Homework and exams

   Procedure for Assessing Student Learning

   • Other (please fill out box below)
   • Solution keys