# Mathematics, Instructional Certification: Teacher Certification in Elementary School with Subject Matter Specialization: Mathematics Grades 5-8 - Graduate - 2011 University Catalog

You are viewing the 2011 University Catalog. Please see the newest version of the University Catalog for the most current version of this program's requirements.

# ELEM SCH W/SUBJ MTR SPEC: MATH 5-8

Complete 2 requirement(s):

1. ## INITIAL INSTRUCTIONAL CERTIFICATION

An Elementary School certificate is required in order to be eligible for this endorsement.

2. ## REQUIREMENTS

Complete to earn 15 semester hours.

 MTHM 505 Number and Operations in the Middle Grades 3 MTHM 506 Algebra and Algebraic Thinking in the Middle Grades 3 MTHM 507 Geometry for Middle-Grade Math Teachers 3 MTHM 508 Data Analysis and Probability in the Middle Grades 3 MTHM 509 Measurement in the Middle Grades 3

## Course Descriptions:

### MTHM505: Number and Operations in the Middle Grades

Topics are organized around the fundamental concepts of number and operations with them. This course prepares middle-grade teachers to help their students understand numbers, ways of representing numbers, relationships among numbers, number systems, operations on numbers, how to compute fluently and how to make reasonable estimates. (3 hours lecture.) 3 sh.

Prerequisites: Acceptance in the certificate or master's program in Teaching Middle Grades Mathematics (TMGM) and permission of the graduate program coordinator.

### MTHM506: Algebra and Algebraic Thinking in the Middle Grades

Topics from pre-algebra and algebra are studied to prepare middle-grades mathematics teachers to enable all students to understand patterns, relationships and functions; represent and analyze mathematical situations and structures using algebraic symbols; use mathematical models to represent and understand quantitative relationships; and analyze change in various contexts. Topics initially approach algebra from a numerical perspective. Strategies for gradually increasing the use of variables and abstract thinking with middle-grade students are discussed. (3 hours lecture.) 3 sh.

Prerequisites: MTHM 505 and permission of graduate program coordinator.

### MTHM507: Geometry for Middle-Grade Math Teachers

Topics are organized around the fundamental concepts of geometry, the use of geometric thinking as a problem-solving tool, and the methods and techniques needed to help students understand and apply these concepts and skills in the middle grades. Teachers gain the knowledge needed to enable their students to develop spatial sense and an ability to use geometric properties and relationships to solve problems in mathematics and in everyday life. Specific emphasis is placed on recognizing, visualizing, representing, and transforming geometric shapes in two and three dimensions. (3 hours lecture.) 3 sh.

Prerequisites: MTHM 505 and permission of graduate program coordinator.

### MTHM508: Data Analysis and Probability in the Middle Grades

Topics include the basics of collection, summarization, and interpretation of data, and the fundamental ideas of probability. Sampling techniques, experimental design, graphical and numerical summarization of data and the basic ideas of drawing conclusions from data are discussed. Methods for teaching these concepts in the middle grades are discussed in tandem as the material is presented. (3 hours lecture.) 3 sh.

Prerequisites: MTHM 505 and permission of graduate program coordinator.

### MTHM509: Measurement in the Middle Grades

Topics are organized around the fundamental and unifying topic of measurement. What attributes of an object are measurable? How are those attributes measured? What system of measurement should be used? What are the units and how are the results converted to other systems? Measurement is a topic that is found across the school curriculum, not just in the mathematics curriculum, and thus it is a topic that can be used to develop cross-subject discussions and investigations. Methods for teaching measurement in the middle grades are discussed in tandem with the content being studied. (3 hours lecture.) 3 sh.

Prerequisites: MTHM 507 and permission of graduate program coordinator.