Math 67-110 Number Systems:
Math 67-110
Number Systems
Fall 2006
Section 001 8:00 to 9:30 TR Swart 240
Section 003 9:40 to 11:10 TR Swart 101
Section 005 11:30 to 1:00 TR Swart 302
Section 007 1:20 to 2:50 TR Swart 302
Instructor: Paul Sanders
Swart 122
424-3078
sandep06<at>uwosh.edu
Office Hours: Tuesday and Thursday 3:00 to 4:30 or by appointment
Textbooks and Other Required Materials Recently Used:
- Number Systems: Course Materials for Math 110, edited by J. Szydlik.
- Elementary Mathematics for Teachers, by T. Parker and S. Baldridge, 2003 (along with the packaged Primary Mathematics materials from SingaporeMath)
Course Description: In this course we will do mathematics everyday, and we will discuss the mathematical work of teaching. This means that we will think about problems, conjecture, reason, and make arguments. We will learn to communicate our ideas using the language of mathematics, and we will learn to listen and evaluate the mathematical thinking of others. The content of the course is focused on important mathematics of the elementary school curriculum as described in the National Council of Teachers of Mathematics (NCTM Principles and Standards (2000): ideas about natural numbers, integers, rational and real numbers; number theory; operations; and the analysis of algorithms.
Prerequisite: Students must either place above the remedial level or complete Mathematics 100 with a grade of C or better.
Description of Students Who Take the Course: This is a required course for all Elementary Education or Special Education Majors. Elementary Education Majors must successfully complete this course with a C or better to go on to take 211 and 217. Special Education Majors must successfully complete this course with a C or better to go on to take 211.
General Goals and Objective for the Course:
Students in this course will:
- Create a variety of problem solving strategies;
- Use quantitative methods and symbol systems;
- Distinguish between, and effectively use, both inductive and deductive reasoning;
- Learn to make mathematical arguments to justify solutions, and come to understand, through logic and structure as opposed to another authority, when a solution is correct and complete;
- Communicate mathematics both orally and in writing using the language of mathematicians;
- Learn to listen, evaluate and respond effectively to the mathematical ideas of peers;
- Build connections among, and work with, a variety of representations;
- Understand children’s models and the mathematical work of teaching;
- Gain an appreciation for the beauty and importance of mathematics.
Description of Specific Content:
- Problem Solving and the Language of Mathematics
- Place Value and Models for Arithmetic (including Children’s Models)
- Analysis of Algorithms
- Prealgebra and a look at Algebraic Structure
- Factors, Primes, Divisibility, GCF, LCM, and the Fundamental Theorem of Arithmetic
- Models for Fractions
- Models for Integers
- Rational and Real Numbers
Evaluation:
Attendance and participation (50 points)It is very important that you are here to participate in the problem solving and contribute to the class discussion. You may miss two classes without penalty and after that; you will lose 5 points of your course grade for each day missed.
Written work (250 points) This includes individual problem write-ups (4), group problem write-ups, short papers, quizzes(5) and exercise sets(10). There will be No make up Quizzes and Late Homework will not be accepted.
Exams (400 points) Four equally weighted exams will be given in class. Tentative exam dates: September 28, October 19, November 14, and December 12. No make up exams will be allowed without prior notification to the instructor.
Grading Scale: 93 to 100 A, 89 to 92 AB, 82 to 88 B, 79 to 81 BC, 70 to 78 C, 60 to 69 D,
and 0 to 59 F.
Additional information:
- Students will be absent on the day an exam is scheduled because of participation in a university approved activity must make arrangements to take the exam early.
- Math tutors are available free of charge in Swart Room 113. There are tutors specifically for math 110.
- UW Oshkosh is committed to a standard of academic integrity for all students. System guidelines state: “Students are responsible for the honest completion and representation of their work, for the appropriate citation of sources, and for respect of others’ academic endeavors.” (UWS 14.01, Wisconsin Administrative Code) Students are subject to disciplinary action for academic misconduct.
- Reading mathematics means something very different from reading a novel, as a slogan says, mathematics is not a spectator sport, and you need to be actively involved in studying the text. You may want to start by reading a section to get the main ideas without paying attention to all the details. Then go through the material again with pencil and paper at hand. Right out each step of each worked example, filling in all missing details. Then see if you can work the example without referring to the text. If you are stuck, try writing all questions whose answers would help you over the difficulty. Frequently you will discover the answer in this process.
- Wisconsin DPI Standards for Mathematics are your guidelines in the classroom you can find these standards at http://www.dpi.state.wi.us/standards/matintro.html.