MAT 117 - Math for Elementary Teachers
Last Date of Approval: Fall 2019
3 Credits
Total Lecture Hours: 45
Total Lab Hours: 0
Total Clinical Hours: 0
Total Work-Based Experience Hours: 0
Course Description:
This course covers topics from arithmetic and geometry that are needed by prospective elementary school teachers. Topics included in the course are critical thinking and problem-solving, operations on whole numbers, numeration systems, elementary number theory, operations on rational numbers, decimal fractions, and an introduction to geometric concepts. This course will also help students gain mathematical literacy which will be of vital significance when making important life decisions. In addition, this course will help with any career that involves mathematics, decision making, or problem-solving.
Prerequisites: MAT 035 with C grade or better or the necessary score on the mandatory assessment and placement chart found in the course catalog.
Mode(s) of Instruction: face-to-face
Credit for Prior Learning: There are no Credit for Prior Learning opportunities for this course.
Course Fees: ebook/Access Code: $75.00
Common Course Assessment(s): None
Student Learning Outcomes and Objectives:
Outcome 1: Recognize and solve problems involving patterns, sequences, and sets.
Task 1: Explain the difference between an arithmetic sequence and a geometric sequence.
Task 2: Identify Fibonacci numbers, Pascal’s triangle and triangular numbers.
Task 3: Find patterns by the method of finite differences.
Task 4: Use the vocabulary involved with sets to include set, element, empty (null) set, disjoint set, subset, equal (sets), union, intersection, and complement.
Task 5: Draw Venn diagrams, and solve problems involving set operations.
Outcome 2: Demonstrate an understanding of basic properties and definitions of whole numbers, integers, fractions, decimals, and rational numbers.
Task 1: Study ancient numbers systems to better understand our own.
Task 2: Utilize the terminology, notation, and concepts of each number system.
Task 3: Recognize the properties of each system.
Task 4: Factor integers into the product of primes.
Task 5: Perform divisibility tests on whole numbers.
Task 6: Differentiate between prime and composite numbers.
Outcome 3: Perform operations of whole numbers, integers, fractions, decimals and rational numbers.
Task 1: Solve problems involving operations of each system.
Task 2: Use models (red and black chip, number-line model, fraction bars, sets of dots, Cuisenaire rods and decimal squares) to illustrate the properties and operations of whole numbers, integers, fractions and decimals.
Task 3: Solve arithmetic problems from each system using appropriate algorithms.
Task 4: Perform mental calculations on each system.
Task 5: Compute estimations for each system.
Task 6: Solve for GCF and LCM of two numbers.
Task 7: Use linear, models and factor trees to find factors and multiples, GCF and LCM.
Outcome 4: Recognize the features of a geometric mathematical system.
Task 1: Identify the basis of a mathematical system.
Task 2: Define the vocabulary associated with geometry. Use geometric notation.
Task 3: Demonstrate the ability to measure an angle using a protractor.
Task 4: Define curve and convex sets.
Task 5: Label the parts of a circle.
Task 6: Identify various polygons.
Task 7: Create a tessellation.
Task 8: Look up M.C. Escher and look at his tessellations.
Task 9: Use language associated with three-dimensional solids.
Task 10: Identify the 5 platonic solids.
Task 11: Recognize the difference between a pyramid, prism, cone and cylinder.
Outcome 5: Utilize standard and non-standard units of measuring.
Task 1: Discuss historical measurements. (Know some examples.)
Task 2: Use non-standard unit to measure several items.
Task 3: Compare and use English and metric systems of measurement.
Task 4: Calculate area and perimeter of polygons in both English and metric measurements.
Task 5: Evaluate circumference and area of a circle.
Task 6: Find the volume and surface area of prisms, cylinders, pyramids, cones and spheres.
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