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 perone 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. Thecourse 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: / ILO Key Indicators: / Assessment Methods:1. Identify and use problem solving steps and problem solving strategies to understand, analyze and solve problems. / AK 1 - Demonstrate ability to transfer learning in familiar and unfamiliar contexts in order to complete tasks.
CT 4 - Envision creative approaches to issues and problems.
AK 2 -Integrate previous and new learning, along with practical skills, to solve problems. / 1. Homework problems and criterion referenced tests.
2. Identify and use the attributes of numbers to describe the nature of the whole numbers, integers, and numeration systems. / COM 2 - Express ideas clearly in oral, written and visual work.
AK 4 - Use numeracy skills for interpretation, synthesis, and analysis of data. / 2. Homework problems, class presentations, and criterion referenced tests.
3. Use definitions and properties to describe the operations of whole numbers and integers. / COM 2 - Express ideas clearly in oral, written and visual work.
AK 4 - Use numeracy skills for interpretation, synthesis, and analysis of data. / 3. Homework problems, class presentations, and criterion referenced tests.
4. Justify operational algorithms for whole numbers using properties and theorems. / COM 2 - Express ideas clearly in oral, written and visual work.
AL 3 - Internalize and assimilate information into new situations. / 4. Homework problems, class presentations, and criterion referenced tests.
5. Calculate whole number and integer results accurately using mental math, paper and pencil, and computational technology. / AL1 - Understand and accept responsibility for learning.
AL 2 - Put forth the time and effort necessary to succeed.
AK 4 - Use numeracy skills for interpretation, synthesis, and analysis of data. / 5. Homework problems and criterion referenced tests.
6. Create spreadsheets for whole number, integer and/or calculation investigations and practice. / AL 5 - Use technological tools to research new information, solve problems, and communicate effectively.
CT 4 - Envision creative approaches to issues and problems. / 6. Excel spreadsheet assignments and final project.
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. / CT 2 - Raise significant and relevant questions.
AL 3 - Internalize and assimilates information into new situations.
COM 1 - Display understanding, compassion and acceptance. / 7. Classroom observations, homework problems and criterion referenced tests.
8. Develop, evaluate, and present elementary mathematical arguments (proofs) using properties and theorems developed in this course. / AK 2 -Integrate previous and new learning, along with practical skills, to solve problems. / 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
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