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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