This is the first course of a two-part series designed for K-8 pre-service teachers to address a conceptual understanding of mathematics taught in elementary school. The focus of part one will be on real number properties, patterns, operations and algebraic reasoning and problem solving.
This undergraduate course is 5 weeks.
This course has a prerequisite. Please see details in the Prerequisite section below.
Attendance and participation are mandatory in all university courses, and specific requirements may differ by course. If attendance requirements are not met, a student may be removed from the course. Please review the Course Attendance Policy, Tuition Refund Policy and all University Policies in the Catalog for more information.
Topics and Objectives
Introduction to Standards and Problem Solving
- Explain the six principles and process standards of elementary school mathematics as defined by the National Council of Teachers of Mathematics.
- Explain the standards progression for your state’s mathematics standards.
- Apply problem solving strategies.
- Use Venn diagrams to solve problems.
- Analyze teaching techniques and manipulative use for teaching problem solving.
Whole Number Operations and Number Theory
- Research different numeration systems.
- Make reasonable estimates.
- Apply algorithms for operations of whole numbers.
- Apply number theory to solve problems.
- Analyze teaching techniques and manipulative use for teaching whole number properties.
Integers and Rational Numbers
- Apply the properties of integers.
- Solve problems involving rational numbers.
- Apply rational number knowledge to solve proportions.
- Analyze teaching techniques and manipulative use for teaching rational number properties.
Real Numbers and Algebraic Thinking
- Solve decimal, percent, and real number problems.
- Solve simple equations, inequalities, and functions.
- Solve problems in the Cartesian coordinate system.
- Analyze teaching techniques and manipulative use for teaching real numbers and equations.
- Identify patterns in elementary mathematics.
- Synthesize the elementary mathematics concepts addressed in this course.
- Explain how a conceptual understanding of mathematics has been addressed in this class.
A prerequisite is required for this course. The purpose of a prerequisite is to ensure students have the knowledge and/or skills needed to be successful in the course. Students are required to provide proof of prerequisite during the enrollment/registration process. To meet to a course prerequisite requirement, a student must have successfully completed the prerequisite course at University of Phoenix, provide proof via transcript of completing a comparable course (at least 75% match) or higher level course with at least a grade of C at another institution or have a University of Phoenix approved Student Appeal on file with the University.
This course requires the prerequisite below. Click on the prerequisite course to review the course topics and objectives.
- MTH/219 - Introduction to College Algebra OR
- MAT/002 - Math Placement Exam B OR
- MTH/216 - Quantitative Reasoning II OR
- a minimum of 2 college credits that demonstrates math proficiency
During the checkout process you will be prompted to provide proof of the requirement(s). If you completed the prerequisite at another institution be prepared to upload an official/unofficial transcript. If you have questions about meeting the prerequisite requirements for this course please contact an enrollment representative at 888-484-1815.
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While widely available, not all programs are available in all locations or in both online and on-campus formats. More information about eligibility requirements, policies, and procedures can be found in the catalog.
Transferability of credit is at the discretion of the receiving institution. It is the student’s responsibility to confirm whether or not credits earned at University of Phoenix will be accepted by another institution of the student’s choice.