MAT 114 - Elementary Educators Math I

Credits: 3
Lecture Hours: 2
Lab Hours: 2
Practicum Hours: 0
Work Experience: 0
Course Type: Core

This is the first of two courses focusing on math concepts taught in K-6. Topics will be covered from both a practical and theoretical standpoint, with an emphasis on practical understanding using concrete examples. Course content includes problem-solving, systems of whole numbers, numeration, algorithms for computation, topics from number theory, and topics from geometry including measurement, polygons, polyhedra, congruence and transformations. This course is for students in education fields and is not appropriate for students majoring in other areas. This is not a methods course.
Prerequisite: Minimum ALEKS scores of 46% or MAT 073 with a C- or better
Competencies

Evaluate integrated mathematical problem-solving strategies to solve problems
1. Solve problems including but not limited to inductive reasoning, deductive reasoning, and basic set operations by applying and adapting a variety of appropriate strategies
2. Model problem situations numerically and visually
3. Use representations such as graphs, tables, and equations to draw conclusions
4. Build new mathematical knowledge through problem solving
5. Reflect on the process of mathematical problem solving
6. Analyze the mathematical thinking and strategies of others
7. Use the language of mathematics to express mathematical ideas precisely
Analyze the structure of numeration systems
1. Understand ways of representing numbers
2. Use multiple models to develop understanding of place value
3. Analyze non-decimal numeration systems including different bases
Assess the processes used by children to compute fluently and make reasonable estimates with whole numbers and extend them to non-decimal systems
1. Develop the meanings of operations and how they relate to one another
2. Illustrate general principles and properties (i.e, commutative, associative, distributive) of whole numbers using visual models and mathematical notation
3. Apply standard and non-standard algorithms for additions, subtraction, multiplication, and division
4. Select appropriate methods and tools for computing with whole numbers
Evaluate number theory concepts
1. Assess prime and composite numbers, factors, multiples, prime factorization, least common multiples, and greatest common factors
2. Apply divisibility rules for 2, 3, 4, 5, 6, 8, 9, and 10
Determine geometric properties and relationships in real-word and mathematical problem solving
1. Describe geometric terms including point, line, plane, space, ray, line segment, angle, parallel lines, perpendicular lines, skew lines, and transversals
2. Analyze characteristics and properties of polygons and circles developing mathematical arguments about geometric relationships using models where appropriate
3. Measure lengths using non-standard units, the metric system, and the customary system
4. Measure angles using degrees
5. Convert from one unit of measurement to another within the same system
Evaluate geometric objects
1. Examine the congruence, similarity, and line or rotational symmetry of objects using transformations
2. Represent translations, reflections, rotations, and dilations of objects in a plane
3. Construct tessellations
4. Build geometric objects including polyhedra

Competencies Revised Date: 2020