Download MTH 211 Instructional Learning Objectives

Course No: MTH211
Credits:
5
Date: February 2011
Course Title:
Fundamentals of Elementary Mathematics I
Institution:
Rogue Community College
Type of Course:
Transfer
Length of Course:
A minimum of sixty (40 lecture/20 lab) hours per one term.
Prerequisites:
MTH95
Department Assignment:
Mathematics
Course Description: MTH211 is the first of a three-term sequence of transfer courses designed
to prepare pre-service elementary and middle school teachers for entrance into the Oregon
teacher’s certification program. The course will study the topics of problem solving, sets, whole
number concepts and operations, elementary number theory, integers, and elementary logic.
Course Outcomes, Skills and Assessment: On successful completion of this course, the
students will be able to:
Expected Outcomes:
1. Identify and use problem
solving steps and problem
solving strategies to
understand, analyze and solve
problems.
ILO Key Indicators:
AK 1 - Demonstrate ability to
transfer learning in familiar
and unfamiliar contexts in
order to complete tasks.
Assessment Methods:
1. Homework problems and
criterion referenced tests.
CT 4 - Envision creative
approaches to issues and
problems.
2. Identify and use the
attributes of numbers to
describe the nature of the
whole numbers, integers, and
numeration systems.
AK 2 -Integrate previous and
new learning, along with
practical skills, to solve
problems.
COM 2 - Express ideas
clearly in oral, written and
visual work.
1
2. Homework problems, class
presentations, and criterion
referenced tests.
Expected Outcomes:
3. Use definitions and
properties to describe the
operations of whole numbers
and integers.
4. Justify operational
algorithms for whole numbers
using properties and theorems.
5. Calculate whole number
and integer results accurately
using mental math, paper and
pencil, and computational
technology.
ILO Key Indicators:
AK 4 - Use numeracy skills
for interpretation, synthesis,
and analysis of data.
COM 2 - Express ideas
clearly in oral, written and
visual work.
Assessment Methods:
3. Homework problems, class
presentations, and criterion
referenced tests.
AK 4 - Use numeracy skills
for interpretation, synthesis,
and analysis of data.
COM 2 - Express ideas
clearly in oral, written and
visual work.
4. Homework problems, class
presentations, and criterion
referenced tests.
AL 3 - Internalize and
assimilate information into
new situations.
AL1 - Understand and accept
responsibility for learning.
5. Homework problems and
criterion referenced tests.
AL 2 - Put forth the time and
effort necessary to succeed.
AK 4 - Use numeracy skills
for interpretation, synthesis,
and analysis of data.
6. Create spreadsheets for
whole number, integer and/or
calculation investigations and
practice.
7. Communicate and respond
to mathematical conjectures
by seeking verification using
mathematical definitions,
properties and theorems.
Respond to, including
respectfully disagreeing with,
the mathematical conjectures
of others.
AL 5 - Use technological
tools to research new
information, solve problems,
and communicate effectively.
CT 4 - Envision creative
approaches to issues and
problems.
CT 2 - Raise significant and
relevant questions.
AL 3 - Internalize and
assimilates information into
new situations.
COM 1 - Display
understanding, compassion
and acceptance.
2
6. Excel spreadsheet
assignments and final project.
7. Classroom observations,
homework problems and
criterion referenced tests.
Expected Outcomes:
8. Develop, evaluate, and
present elementary
mathematical arguments
(proofs) using properties and
theorems developed in this
course.
ILO Key Indicators:
AK 2 -Integrate previous and
new learning, along with
practical skills, to solve
problems.
Assessment Methods:
8. Homework problems and
criterion referenced tests.
Typical Required and Recommended Equipment and Text(s): Musser, Burger, Petersen,
Mathematics for Elementary Teachers, eighth edition, 2007. A scientific calculator. Microsoft
Excel 2003 or better recommended only.
TYPICAL COURSE OUTLINE:
Introduction
Unit 1:
The problem solving process and strategies
Problem solving strategies
Elementary logic for mathematics
Unit 2:
Sets as a basis for the whole numbers
Whole numbers and numeration
The Hindu-Arabic system
Unit 3:
Operation and properties of addition, subtraction, multiplication and
division
Learning the facts: patterns, primes and composites
Ordering and exponents
Unit 4:
Whole number computation
Mental Math algorithms
Computational estimation
Paper and pencil algorithms
Computational technology: calculators and computers
Paper and pencil algorithms in other bases
Unit 5:
Integer models
Integer operations
3