Topics in Elementary Education II,
Lecture 003 Spring, 2005 VinH 206 MW 10:10 – 12:05
513 Vincent Hall
1:25-2:15 MW, 11:15-12:05 Tu, or by appointment
Th, 12:20-2:20 F
Homework: See below
Textbook: We will be using notes, dated July 8, 2003, which can be purchased at Alpha Print, 1407 Fourth St. S.E., in Dinkytown. This edition of the notes contains thirteen chapters of material and is also used in Math 3113. We will cover six of the final seven chapters in Math 3118.
Prerequisites: Math 1031 (College Algebra and Probability) is a prerequisite for Math 3113 and 3118. Math 3113 is a prerequisite for Math 3118. You must have basic mathematical manipulative skills. This is not a remedial course!
Structure of Class: We will use elements of cooperative learning in this class. This means that our classes will not be standard lectures, but will usually be problem-solving sessions. We will frequently break up into small groups of about three or four to work on problems. You will often be called upon to present your solution or your group's solution orally to the rest of the class.
Homework: You will be expected to read assigned sections of the notes and solve corresponding problems before class. You must be prepared to present your solutions either to the class as a whole or to your work group. You will also be expected to write out solutions to selected problems to turn in for grading. Late homework will not be accepted. Homework will count for 20% of your grade.
Exams: We will have an exam after each chapter. These exams will count for 60% of your grade. These exams will take place on February 7, February 23, March 7, April 6, April 25 and May 9 (common exam day). They will be open-book and open-notes. Calculators may or may not be allowed. There will be no comprehensive final exam. However, we will use the final exam date and time (May 9, 1:30 p.m. to 4:30 p.m.) for the final chapter exam. Absences from the exams will only be allowed for the most compelling reasons. You should obtain permission to miss an exam before the exam. There will be no makeup exams.
Class Participation: A significant component of your grade will depend upon your participation in and contribution to group and class discussions. Some of the elements of this component would be active participation in group discussions, oral presentation of solutions to the class or to your group, relevance and accuracy of your contributions, etc. Because of this, attendance and preclass preparation are critical. This component will count for 20% of your grade.
Notebook: You will be expected to keep a math notebook. This notebook should contain your solutions (or attempted solutions) to all the problems you or your group works on. You should use it to keep track of ideas, problem solving methods, notes to yourself about what techniques work, etc. While your notebook will not be graded, I do expect that you will keep it and I may, from time to time, inspect it.
Calculator: You will need a calculator that can compute factorials and logarithms.
Other supplies: You will need a compass and straight-edge for parts of Chapters 10 and 13. A few colored pens or pencils may also come in handy.
Incompletes: Incompletes will only be given in cases where there is a reasonable expectation that the course will be completed. This means you have satisfactorily completed at least four chapters. Incompletes will not be given to students with a failing grade in the course. This generally means that incompletes will be given only in rare circumstances. If you find it necessary to take an incomplete, you must make arrangements before the end of the semester.
S/N: Students enrolled on an S/N basis will be awarded an S if they achieve a grade of C- or better.
University Policy Statements: The University Senate statements regarding academic dishonesty, credit and workload expectations, and grading standards are at http://www1.umn.edu/usenate /policies/grades&acadwork.html. Finally, please read your appropriate college bulletin for definitions and penalties for scholastic misconduct.
Goals and Philosophy of Math 3113-3118
Mathematical content will be nontrivial and nonremedial. We assume you have basic manipulative skills. We will not teach remedial skills. We won't teach lots of topics in a superficial way. The problems we work on will be nontrivial. We will explore some topics to a depth often found only in upper division courses. There will be little emphasis placed on drill exercises or memorization. The topics will be presented in chapters taking approximately two weeks.
The general topics will conform to those described in A Call for Change. A Call for Change is a document written by the Mathematics Association of America in response to the National Council of Teachers of Mathematics Curriculum Standards. A Call for Change calls for a restructuring of how we teach and what we teach elementary education students. Topics include geometry, number theory, algebraic structures, analysis, probability and statistics.
As also mentioned in A Call for Change, special emphasis will be given to the interconnection of ideas, to communication of mathematics, and to problem solving skills. Our chapters will interconnect in various ways. Many problems will emphasize communicating mathematical ideas both orally and in writing. Many of the problems are open-ended. Some will be solved using a variety of techniques.
The course will be given in a non-threatening environment. There will be less emphasis on tests and benchmarks. The experience you have in this class will be taken back to your own classrooms. We will experiment with a cooperative learning environment.
Evaluation Criteria for Math 3113-3118
Your in-class performance will be graded primarily on the following two items.
Mathematics: How well are you understanding the material? How much progress are you making?
Communication: How well can you explain mathematical concepts, both orally and in writing? How coherent are your explanations? How well do you use the blackboard? How facile are you with mathematical notation and terminology?
You should understand that the following three items can add or subtract from your performance on the previous two:
Focus: Can you stay focused on the problem? Do you let other matters distract you? Can you cut to the heart of a problem and avoid peripheral issues?
Preparation: Have you done the reading? Did you work on the problems assigned? Did you seek help when needed?
Interaction: Are you a contributor within your group? Do you contribute to class discussions? Do you offer suggestions, give help, ask questions
Homework and Reading List
(subject to revision)
Prepare for class
2/7 Test Today!
7.2.5, 8, 7.3.3,4
7.3.9,10, 7.4.6, 7.5.1
2/23 Test Today!
13.1.9, 10, 11
9.1.1, 2, 3
3/7 Test Today!
9.1.12, 13, 9.2.1
4/6 Test Today!
10.1.3, 5, 10, 11
10.1.13, 14, 15
10.2.10, 10.3.2, 3, 4
10.4.2, 6, 8, 9
10.5.9, 10.6.3, 5
10.6.12, 13, 15, 16,17
4/25 Test Today!
11.1.6, 7, 8, 9, 13
11.2.5, 6, 7, 15
11.3.2, 4, 6, 8
11.4.5, 8, 10
11.5.2, 6, 11, 16
5/9 Test Today!
1:30 pm, Blegen Hall 115 (West Bank)
12.1.4, 5, 6, 8
12.1.14, 16, 12.2.3
12.2.5, 12.3.2, 12.4.3
A link to
some practice exams for Chapter 7