Major concepts assignment essay instructions on Elementary school Mathematics

Prepare a 700 to 1,050-word paper synthesizing the major concepts addressed.:

a. Summarize the major mathematical concepts presented.

b. Explain how the concepts are relevant to the characteristics of a professional mathematics teacher.

c. Determine how the course concepts can impacted ones ideas and philosophy of teaching.

Mathematical Standards and Processes

· Analyze the six principles of elementary school mathematics as defined by the National Council of Teachers of Mathematics (NCTM).

The six principles for school mathematics address overarching themes:

Equity. Excellence in mathematics education requires equity—high expectations and strong support for all students.
Curriculum. A curriculum is more than a collection of activities: it must be coherent, focused on important mathematics, and well articulated across the grades.
Teaching. Effective mathematics teaching requires understanding what students know and need to learn and then challenging and supporting them to learn it well.
Learning. Students must learn mathematics with understanding, actively building new knowledge from experience and prior knowledge.
Assessment. Assessment should support the learning of important mathematics and furnish useful information to both teachers and students.
Technology. Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning.

· Analyze the five mathematical process standards as defined by NCTM.

Algebraic Thinking and Problem Solving

· Demonstrate knowledge of numerical patterns, relations, and functions.

· Represent mathematical situations and structures analytically using algebraic symbols.

· Use mathematical models to represent quantitative relationships.

· Analyze change in various contexts.

Learning Objectives

Numeration Systems and Number Theory

· Demonstrate knowledge of meanings of operations and how they relate to one another.

· Demonstrate knowledge of integers, including ways of representing numbers, relationships among numbers, and number systems.

· Compute fluently and make reasonable estimates.

Rational Numbers and Applications

· Demonstrate knowledge of fractions, decimals, percents, and real numbers