Course Information for Math 320
Mathematics for Elementary School Teachers
MWF 9:30, CW130, Fall 2002
http://www.math.ksu.edu/~pinner/math320.html
Homework Projects Solutions Old Tests Current grade
New
Presentations: Project 4
presentations will start Monday. You will get to grade each other's presentation
(see scoresheet
for the assessment criteria and order of presentations)! Half the grade
will come from the presentation and half from the write-up (to be handed
in after the presentation). Just write up the five questions (as instructed
in part 2 of the project instructions); there is no need to write
up the original investigation that you will be talking about in the presentation.
Quiz 5 (Wed Dec 11): Covers Chapter 9 and 12.1,12.2,12.3. Last year's quiz 5 has been added below.
Old Notices
Quiz 4 (Wed Nov 20):
Covers
7.3 & 7.4.
Homework 12: Section 8.2
added.
Exam 2 (Wed Nov 13):
Covers Chapters
4, 5, 6 & 7.1, 7.2.
Quiz 3 (Mon Oct 28): Covers Chapter
5. Range of material similar to old Spring 2002 Quiz 4 below.
No
calculators!
Homework 7:Due
Monday 10/21 now just contains 5.1
Quiz 2 (Wed Oct 16): Covers
Chapters 4. Range of material similar to old Spring 2002 Quiz
3 below.
No calculators!
Exam 1 (Wed Oct 2): Covers Chapters
1, 2 & 3. Range of material similar to old Spring 2002 Test 1
below.
Quiz 1 (Wed 18 Sept): Covers 2.2.
Egyptian, Roman, Babylonian, Mayan number systems, 2.3. Changing from base
b to base 10 and vice versa.
Group Assignments for the Projects
Chris Pinner
CW 113
e-mail: pinner@math.ksu.edu
Probable Office hours: MWF 10:30, Tu 3:30.
Office Phone: 532-0587
Homework Grader: Eric Davis, efd3467@ksu.edu
Text: Mathematics for Elementary School Teachers, A Contemporary Approach, 6th Edition by Gary L. Musser, William F. Burger and Blake E. Peterson (available at K-State Union Book Store and Varneys).
Course Objectives: The purpose of this course is to help prepare you to be a teacher of mathematics at the elementary school level. Thus the first objective is to make sure that you have mastered all of the mathematical concepts that arise during the kindergarten through 8th grade years. Such mastery requires command of the subject material at a level above the one you will be teaching at. The topics we shall cover come directly from the Kansas Teacher Licensure Standards, NCATE Standards, and Kansas State Mathematics Curricular Standards for K-12 . You are strongly encouraged to review these standards.
As indicated in the standards, it is important that future teachers not only understand the basic concepts of the content areas they are going to teach, but also be able to explain the concepts in different ways and be able to relate them to the students' own experience. This will greatly facilitate the students' learning experience and stimulate their problem solving ability.
In this course I will make efforts to emphasize reasoning and mathematical discovery as opposed to rote memorization; look at material you may have learned before from a different angle; discover and prevent common mistakes that you and/or your students might make; use examples from daily life in order to make the mathematics more meaningful and enjoyable.
If you have any condition, such as a physical or learning disability, which will make it difficult for you to carry out the work as I have outlined it or which will require academic accommodations, please notify me in the first two weeks of classes. You may also wish to contact the Academic Assistance Center, 101 Holton Hall.
B. Homework. Homework will be assigned on a daily basis and collected once a week. I will keep a list of assigned problems on this web page in case you miss a class. Homework should be turned in to the homework mailbox labeled with my name at the end of the hallway.
C. Group Projects. Four times during the semester I will ask you to work in groups (of roughly four people) on exploratory type problems. One person from your group should write a report based on your teams findings. It should be a different person each time so that by the end of the semester each person on your team has written at least one report. At least one of the reports will include an oral presentation.
D. Quizzes and Exams.There will be five 15 minute quizzes, two 50 minute exams and a final exam. Exam dates are (tentatively) Wednesday October 2 and November 13. The final exam is Monday, December 16, 11:50-1:40 p.m.
E. Grades (Keep track of your scores, attendance etc here).
1) Attendance:
40 points (5.5%) Deduct
one point for each unexcused absence.
2) Group Projects: 48 points (6.6%) Four 12 point projects.
1) 2) 3) 4)
3) Quizzes: 80 points (11.0%) Five 20 point quizzes, the lowest of which will be dropped.
1) 2) 3) 4) 5)
4) Homework: 156 points (21.5%) 14 twelve-point assignments the lowest of which will be dropped.
1) 2) 3) 4) 5) 6) 7)
8) 9) 10) 11) 12) 13) 14)
5) Hourly Exams: 200 points (27.6%) Two 100-point exams. 1) 2)
6) Final Exam: 200 points (27.6%)
Exam 1
Exam 2
A 90-100
A 90-100
B 80-89
B 78-89
C 70-79
C 68-77
D 60-69
D 58-67
F 50-59
F 47-57
Class Av.=84.04
Class Av.=76.45
Solutions:
Solutions
to tests and quizzes will be posted here:
Quiz Solutions: Quiz1Quiz2Quiz3
Quiz4 Quiz5
Exam 1 Solutions: page1page2page3
Exam 2 Solutions: page1page2page3
Old Quizzes
& Tests: Quizzes
from Spring 2002: Quiz
1 Quiz
2 Quiz
3 Quiz
4 Quiz 5
| Spring 2001 | Test 1 Solutions | Test 2 Solutions | FinalSolutions |
| Spring 2002 | Test 1 Solutions | Test 2 Solutions | Final |
Other old final exams: Fall 1997 Fall 1999
Syllabus
| Chapter | Topics |
| Ch. 1: Introduction to Problem Solving: strategy and approach | (1) Inductive and deductive reasoning.
(2) Pattern recognition. (3) Giving clear explanations. (4) Problem solving strategies. |
| Ch. 2: Sets, Whole Numbers, and Numeration | (1) Hindu-Arabic number system.
(2) Set operations, Venn diagrams and their applications. (3) Number systems in other cultures. (4) Binary number systems and number systems in other bases. (5) Relations and functions in daily life. |
| Ch. 3: Whole Numbers: Operations and Properties | (1) Closure, Commutative, Associative,
Distributive and Identity properties.
(2) Division Algorithm. (3) Laws of Exponents. |
| Ch. 4: Whole Number Computation: Mental, Electronic and Written | (1) Review
briefly the standard algorithms for addition, subtraction, multiplication
and division.
(2) Explore other algorithms and understand why they work. (3) Arithmetic in other bases. (4) Estimation and approximation. |
| Ch. 5: Number Theory | (1) Factors and multiples, divisibility,
primes
(2) Primality testing. (3) Factor trees and prime factorizations. (4) Counting factors, GCDs and LCMs. |
| Ch. 6: Fractions | (1) Develop models for fractions
and their arithmetic.
(2) Drill on addition, subtraction, multiplication and division of fractions. |
| Ch. 7: Decimals, Ratio and Proportion, and Percent | (1) Representing numbers as decimals.
(2) Converting decimals to fractions and vice versa. (3) Ordering decimals and fractions. (4) Decimal arithmetic. (5) Ratio and proportion. (6) Percentage and interest rates. |
| Ch. 8: Integers | (1) Models for negative numbers.
(2) Review properties of integers and operations of integers. (3) Negative exponents. |
| Ch. 9: Rational Numbers and Real Numbers, with introduction to algebra | ( 1) Summarize
number systems and basic properties
(2) Roots and and irrational numbers. (3) Understand infinite decimals |
| Ch 12: Geometric Shapes | (1) Vocabulary: square, rectangle, rhombus,
kite, trapezoid, congruent, isosceles, etc.
(2) Paper folding. (3) Symmetry (4) Angle measurement. (5) 3-dim shapes |
| Ch 13: Measurements | (1) Metric system and English system.
(2) Converting between different units. (3) Areas, Volumes and Perimeters. (4) The meaning of pi. |
Homework problems will be assigned daily. Put your name, my name and Math 320 at the top of the first page and staple your work together. Place in the homework box for our class by 5 pm on the due date.
An updated list will be kept on
this home page. Fill in the chart below as problems are assigned.
The additional problems are just
for practice (not to be turned in); the answers are in the back of the
book.
| HW | Problems for Turning in | Additional Problems (answers in the back) | Due Date |
| #1 | 1.1 B3, B7, B12, B13, B14, B15
1.2 B4, B5c, B7, B12d, B13, B17. |
1.1 A2, A3, A4, A6, A8, A9
1.2 A5, A6ce, A11, A17. |
Fri. Sept. 6 |
| #2 | 2.2 B8, B9, B10, B11, B12, B14, B17
2.3 B5, B13, B14, B15, B16 |
2.2 A7, A8, A9, A10, A11, A14
2.3 A3, A11, A12def, A13, A15, A18 |
Fri. Sept. 13 |
| #3 | 2.1 B7, B9, B11, B15, B16, B17, B18, B23, B32, B33. | 2.1 A2, A8, A9, A11, A14, A18ef, A33, A34 | Fri. Sept. 20 |
| #4 | 2.4 B6, B9, B10bd, B11, B15, B16, B22, B23
3.1 B3, B4, B5, B6, B14, B17 |
2.4 A9, A10, A11, A18, A21
3.1 A3, A4, A7, A9, A14 |
Fri. Sept. 27 |
| #5 | 3.2 B1, B5, B7, B10, B11, B12, B15bc, B27
3.3 B5, B6, B7, B8, B14, B15 |
3.2 A5, A6, A7, A9, A15, A17
3.3 A5, A6, A7, A12, A13 |
Fri. Oct. 4 |
| #6 | 4.1 B1, B2, B3, B4, B5, B6, B8, B9, B29
4.2 B3, B4, B13, B15, B18, B23 |
4.1 A1, A2, A3, A4, A5, A6, A7, A8, A9
4.2 A12, A13, A31 |
Fri. Oct. 11 |
| #7 | 5.1 B2, B3, B5, B8, B9, B11, B18, B35 | 5.1 A2, A5, A7, A8, A9, A11, A12 | Mon. Oct. 21 |
| #8 | 5.2 B1, B4, B5, B8, B14, B19 | 5.2 A1, A4, A5, A7, A10, A16 | Fri. Oct. 25 |
| #9 | 6.1 B1, B2, B7, B8, B9, B10, B11, B14
6.2 B2b, B3b, B4c, B6, B9, B11, B16, B19 |
6.1 A1, A2, A3, A4, A6, A7, A8, A9, A11
6.2 A1, A6, A7, A9 |
Fri. Nov. 1 |
| #10 | 6.3 B1c, B2a, B7, B8, B14, B19, B22, B23
7.1 B1, B2, B5, B11, B12, B14 |
6.3 A1, A2, A3, A5, A7, A9
7.1 A1, A2, A5, A6, A7 |
Fri. Nov. 8 |
| #11 | 7.2 B1, B2, B10, B12, B18
7.3 B3, B4, B8, B11, B13, B17, B20 |
7.2 A1, A2, A4, A7, A12
7.3 A1, A3, A13, A17, A23 |
Fri. Nov. 15 |
| #12 | 7.4 B8, B14, B16, B17, B18, B23, B24, B40
8.1 B3, B4, B6, B8, B12, B14 8.2 B3, B6, B15, B16, B17 |
7.4 A10, A15, A25, A32
8.1 A6, A7, A10, A14 8.2 A3, A9, A15 |
Fri. Nov. 22 |
| #13 | 9.1 B2, B4, B5, B8, B9, B11
9.2 B1, B3, B4, B10, B15, B16, B23 12.1 B5, B9, B10, B11, B14 |
9.1 A2-A11
9.2 A1, A2, A3, A4, A15, A16, A26, A29 12.1 A5, A6, A10, A11 |
Fri. Dec. 6 |
| #14 | 12.2 B1, B2, B3, B4, B8
12.3 B4, B7, B9, B11 13.1 B2adh, B3ad, B4, B11 |
12.2 A1, A2, A4, A5, A8
12.3 A3, A4, A5, A7, A9 |
Fri. Dec. 13 |
1) Fibonacci Sequence and the Golden Ratio. (Due Fri Sep. 20 in class).
2) The Land of Base 6. (Due Fri Oct.11 in class).
3) Fun with arithmetic. (Due Fri Nov. 1 in class).
4) Connected
Mathematics: Prime Time and Filling and Wrapping.
(Presentations last week of class).
