This course is the first of a two-part series designed for K–8 pre-service teachers to address the conceptual framework for mathematics taught in elementary school. The focus of Part One will be on real number properties, patterns, operations and algebraic reasoning, and problem solving. The relationship of the course concepts to the National Council of Teachers of Mathematics Standards for K–8 instruction is also addressed.
Explain the six principles of elementary school mathematics as defined by the National Council of Teachers of Mathematics.
Explain the five mathematical process standards as defined by the National Council of Teachers of Mathematics.
Mathematical Connections
Describe the characteristics of a professional mathematics teacher.
Synthesize the elementary school mathematical concepts addressed in this course.
Rational Numbers and Applications
Solve fractions, decimal, percent, and real number problems.
Rational Numbers
Make reasonable estimates.
Compute operational outcomes.
Number Theory
Apply the properties of integers.
Apply number theory to applications.
Algebraic Thinking Continued
Use mathematical models to represent quantitative relationships.
Represent mathematical situations and structures analytically using algebraic thinking.
Algebraic Thinking
Use mathematical models to represent quantitative relationships.
Represent mathematical situations and structures analytically using algebraic thinking.
Problem Solving
Use numerical patterns, relations, and functions to solve problems.
Apply problem-solving strategies.
Mathematical Processes
Identify problem-solving strategies.
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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.