MAE 4114 - Mathematics Content for the Elementary Grades

College of Education

Credit(s): 3
Contact Hours: 47
Effective Term Fall 2020 (580)

Requisites

Admission to Elementary Education (K-6) with Infused ESOL & Reading Endorsements (Bachelor of Science) (ELEDR-BS) or
Admission to Middle Grades Mathematics Education (5-9) (Bachelor of Science) (MGMED-BS) or
Admission to Exceptional Student Education (K-12) with Infused ESOL & Reading Endorsements (Bachelor of Science) (ESEDR-BS)

Course Description

This course is designed to prepare individuals to teach conceptually and developmentally appropriate mathematics content at the elementary grade level. Major topics include fundamental mathematical properties; algebra; fractions, ratios, and integers; measurement; data analysis; and geometry.

Learning Outcomes and Objectives

  1. The student will apply fundamental mathematical properties by:
    1. analyzing and utilizing appropriate mathematical concepts, procedures, and vocabulary
    2. using the order of operations to simplify mathematical expressions and solve mathematics-based problems
    3. analyzing strategies (models, estimation, reasonableness) to solve single and multistep word problems
    4. describing number theory concepts such as prime and composite numbers, multiples, factors, parity, rules of divisibility, and properties
    5. choosing strategies (compensation, combining tens and ones) based on place value to perform multi-digit arithmetic in all four operations
  2. The student will apply algebraic concepts by:
    1. selecting the representation of an algebraic expression, equation or inequality that models a real world situation
    2. analyzing the properties of equality and operations in the context of interpreting solutions
    3. solving algebraic equations
    4. describing functions algebraically, numerically and graphically
    5. recognizing and utilizing numerical patterns
  3. The student will apply basic concepts of fractions, ratios and integers by:
    1. identifying different fraction units and making accurate comparisons
    2. performing conversions within and between measurement systems in the context of multistep real world problems
    3. performing the four basic operations with fractions and converting fractions to decimals to percentages to model real world problems
    4. solving real world problems involving rates, ratios, proportions with equations and inequalities
    5. utilizing the representation (e.g., linear, area, set model) that best represents the problem and solution, given a word problem or equation involving fractions
  4. The student will apply measurement concepts and interpret data by:
    1. calculating and interpreting measures of central tendency and variability
    2. creating frequency tables and graphs
    3. choosing appropriate measurement units to solve problems involving estimates and measurements
    4. solving real world problems involving distance, area, time, capacity, volume, mass, temperature, and money using integers, fractions and decimals
  5. The student will apply basic concepts in geometry by:
    1. using correct geometric notation and terminology to calculate perimeter, area, surface area and volume
    2. identifying and locating ordered pairs in all four quadrants of a rectangular coordinate system
    3. identifying relational and transformational properties of geometric shapes
    4. classifying two dimensional figures in a hierarchy based on mathematical properties
    5. analyzing properties of three dimensional shapes using formal mathematical terms such as volume, faces, edges and vertices

Criteria Performance Standard

Upon successful completion of the course, the student will, with a minimum of 75% accuracy, demonstrate mastery of each of the above stated objectives through classroom measures developed by individual course instructors.

History of Changes

C&I Approval: , BOT Approval: , Effective Term: Fall 2015 (505). C&I Approval: 11/20/2015, BOT Approval: 03/15/2016, Effective Term: Fall 2016 (520). C&I Approval: , BOT Approval: , Effective Term: Fall 2017 (535).
C&I Approval: 02/21/2020, BOT Approval: 03/17/2020, Effective Term: Fall 2020 (580)

Related Programs

  1. Elementary Education (K-6) with Infused ESOL & Reading Endorsements (ELEDR-BS) (660) (Active)
  2. Elementary Education (K-6) with Reading Endorsement Apprenticeship (ELEDRA-BS) (660) (Active)
  3. Exceptional Student Education (K-12) with Infused ESOL & Reading Endorsements (ESEDR-BS) (660) (Active)
  4. Exceptional Student Education (K-12) with Reading Endorsement Apprenticeship (ESEDRA-BS) (660) (Active)
  5. Middle Grades Mathematics Education (5-9) (MGMED-BS) (610) (Draft)