ROWAN UNIVERSITY
Department of Mathematics

Syllabus 

 01.201.01 Structures of Mathematics – Fall 2009

COURSE INFORMATION

 

  1. Professor: Dr. Carol Rodano
  2. Meeting Time & Place:  Rob 201A, Tues. 6:30 P.M. to 9:00 P.M.
  3. Phone: 856-256-4844
  4. E-Mail Address: rodanoc1@verizon.net
  5. WEB Page Addresshttp://www.rowan.edu/colleges/las/departments/math/facultystaff/adjuncts/rodano/index.html

          6.  Office Hours:  Tues. (before and after class, email to make an appointment)

 

CATALOG DESCRIPTION

This course concerns the development of number systems and algebraic structures, including the natural numbers, the integers, rational numbers, real and complex numbers. Concrete examples of selected algebraic structures such as modular arithmetic and matrices are also included. Students will be required to reason mathematically, solve problems, and communicate mathematics effectively at different levels of formality, using a variety of representations of mathematical concepts and procedures. Use of calculators is required. Students are expected to have completed an equivalent of Intermediate Algebra.

TEXT and OTHER SUPPLIES REQUIRED

Required Texts:
Mathematics for Elementary Teachers:  A Conceptual Approach (8th Ed.) by Bennett, Burton and
Nelson, McGraw-Hill Higher Education, 2007. 
Mathematics for Elementary Teachers:  An Activity Approach (8th Ed.) by Bennett, Burton, and     
Nelson, McGraw-Hill Higher Education, 2007.
(Includes manipulative Kit- bring to each class)

Calculator: The Texas Instruments Math Explorer Plus is the recommended calculator for this course.  Students may NOT use a cell phone as a calculator and cannot share one.

 

EVALUATION

Graded Activity

Percentage

Hwk & Quizzes  (10 quizzes, will drop lowest quiz grade)

25%

 Exam 1 (Chapters 1 & 2) & Reflections

20%

 Exam 2 (Chapters 3 & 4) & Reflections

25%

Final Exam (Cumulative – Chapters 1 through 6)

30%

 

Grading:  A  93%, A-   90%,  B+ 87%,  B 83%,   B-  80%,   C+ 77%,   C 73%,
C- 70%, D+  67%,  D 63%,    D- 60%, F less than 60%

 

 

Homework Assignments:  Homework assignments will be collected before each exam.  Completeness and neatness will be graded.  Use a single spiral notebook for the homework assignments.

Manipulatives and Online Activities:  Students may use their manipulatives during quizzes and exams.  Materials are available online at the Mathematics for Elementary Teachers textbook Website: 
http://highered.mcgraw-hill.com/sites/0073022845/student_view0/

Absences:  Any student absent during an in-class scheduled examination or quiz will receive a grade of zero for that exam/quiz/reading check unless a phone call was placed to the professor before the exam/quiz/reading checks and an excused absence (medical emergency, illness, death in the family) is given.

Class Participation: Students are expected to participate in small-group and whole-class discussions as a means of promoting their own learning and contributing to the progress of the classroom community. Sharing, critiquing and discussing ideas are part of class participation. Class participation requires that a student be in class, on time for class, and prepared for class which includes having the reading assignments and homework completed.

COURSE OBJECTIVES


This course is intended to provide students with the opportunity to develop their knowledge of the content and discourse of mathematics, including:

-mathematical concepts and procedures and the connections among them;
-multiple representations of mathematical concepts and procedures;
-ways to reason mathematically, solve problems, and communicate mathematics effectively at different levels of formality;
-the nature of mathematics, the contributions of different cultures toward the development of mathematics, and the role of mathematics in culture and society;
-the changes in the nature of mathematics and the way we teach, learn, and do mathematics resulting from the availability of technology;
-the place of “school mathematics” (what students have learned in elementary school and high school) within the discipline of mathematics;
-the relationship of mathematics to other subjects and its application in society.

STUDENTS ACCOMMODATION POLICY 
  
Your academic success is important. If you have a documented disability that may have an impact upon your work in this class, please contact me. Students must provide documentation of
their disability to the Academic Success Center in order to receive official University services
and accommodations. The Academic Success Center can be reached at 856-256-4234. The
Center is located on the 3rd floor of Savitz Hall. The staff is available to answer questions
regarding accommodations or assist you in your pursuit of accommodations. We look forward to
working with you to meet your learning goals.

 

 

             TENTATIVE COURSE SCHEDULE AND ASSIGNMENTS

 

***BRING ALL MANIPULATIVES, CALCULATOR and BOTH TEXTBOOKS
TO EVERY CLASS***

Class Day

Date

In-class Activities  
“An Activity Approach”
textbook

Homework  (due next class)
“A Conceptual Approach”
textbook 

Important Dates

1

 9/1/09

 1.1 Intro to Problem Solving (Polya); Tower Puzzle

 

 1.1 Pattern Blocks

Punch out manipulatives and cut out Material Cards 13 & 16
Read:  1.1 pp. 3-12
            1.2 pp. 20-29

Hwk:  1.1 (PP.14-17) #3, 5, 13, 17, 21

 

2

9/8/09

 1.2 Color Tiles

 

 1.3 Algebra Pieces

Read:   1.3 pp. 37-48
             2.1 pp. 61-70

Hwk:  1.2 (pp. 30-35) #1,3,5,9, 
                 12,13, 17, 18, 28, 29
1.3 (pp. 50-51) #6 to 17

 

3

9/15/09

1.3 Algebra Pieces

 

 

2.1 Sets & Venn Diagrams

Read:   2.2 pp. 78-93
             
Hwk:   1.3 (pp. 51-54) #19, 23,
                    25, 27, 29, 35
2.1 (pp. 73-75) #5, 7, 9, 
11, 15, 21,23, 25, 27,
31, 33, 35, 37, 41

QUIZ#1  (1.1 & 1.2)

4

9/22/09

 2.1 Sets & Venn Diagrams

 

 2.2 Functions, Coordinates
& Graphs

Read:  3.1 pp. 125-126,  131-137

Hwk:  2.2 (pp. 94-102) #1,3,7, 15,  
          17, 19, 21, 23, 25, 27, 35, 37

QUIZ #2 (1.3 & 2.1)

5

9/29/09

3.1 Multi-base Pieces

 

Study Guide provided for Exam #1.

Read:  3.2 pp. 143-156
            3.3 pp. 164-179

 Hwk:  3.1 (pp. 138-141) #5, 7, 9,
                    11, 21, 23, 25, 27, 29b,  
29c, 29d, 33, 35, 39, 41

QUIZ #3 (2.2)

6

10/6/09

EXAM #1 (Ch. 1 & 2)

   

EXAM #1 (Ch.1 & 2)
 Hwk #1 Collected

7

10/13/09

3.2. Adding/Subtracting
Multi-base Pieces

 

3.3 Multiplying Base-
Ten Pieces

Reflection  Exam #1
Read:  3.4 pp. 187-202
            4.1 pp. 215-228

Hwk:  3.2 (pp. 158-162) #3, 5, 7, 13,
15, 17, 25, 43, 45, 51
3.3 (pp. 180-183) #5, 7, 9, 13,
15, 17, 23, 43, 45, 47

QUIZ #4 (3.1)

8

 10/20/09

 3.4 Dividing Base-Ten
Pieces

 4.1 Number Theory

Read:  4.2 pp. 235-247

Hwk:  3.4 (pp. 203-204) #1, 3, 5, 7, 11,
                13, 15, 17, 21, 23, 25, 27,29
4.1 (pp. 230-232) #3, 5, 7, 11,
17, 25, 27, 29, 41

QUIZ #5 (3.2 & 3.3)
Reflection Exam #1 due

9

10/27/09

4.2 Number Theory
Even, Odd, Factors, Primes, GCF & LCM 

Read:  5.1 pp. 257-274
            5.2 pp. 282-301
            5.3 pp. 310-327

Hwk:   4.2 (pp. 248-249) #1, 3, 5, 7, 9,
11, 13, 15, 21, 25, 27, 29

QUIZ #6 (3.4 & 4.1)

10

11/10/09

5.1 Black & Red Tile
Models for Integers

5.2 Fraction Bar Model
for Equality & Inequality

5.3 Computing with
Fraction Bars

Study Guide provided for Midterm Exam #2.

Read:   6.1 pp. 341-357

Hwk:   5.1 (pp. 276-278) #1, 3, 5, 7, 9,
                    11, 13, 17, 21, 23, 25, 29,
33, 35, 37
5.2 (pp. 303-307) #3, 5, 9, 11,
13, 19, 21, 23, 25, 27, 29, 31,
33, 41, 43, 49, 51
5.3 (pp. 329-332) #7, 15, 19,
21, 29, 37, 39, 47

 QUIZ #7 (4.2)

11

11/17/09

Midterm Exam #2
(Ch. 3 & 4)

  

*MIDTERM EXAM #2
(Ch. 3 & 4)
 Hwk #2 Collected

12

11/24/09

6.1 Decimals:  Rational
and Irrational

Reflection Exam #2
Read:  6.2 pp. 364-380
            6.3 pp. 389-404

Hwk:  6.1 (pp. 359-360) #5, 7, 11, 13,
                  15, 17, 19, 21, 23, 31, 33,
35, 37, 39, 42, 45, 49

QUIZ #8 (5.1,5.2 & 5.3)

13

12/1/09

6.2 Operations with
Decimal Squares

6.3 Model for Percent

Read:  6.4 pp. 413-425

Hwk:  6.2 (pp. 383-386) #13, 15, 19,
                   25, 37, 39, 41, 45
6.3 (p. 406-407) #3, 5, 11,13,
15, 17 19, 21, 23, 29, 31, 33, 35

 QUIZ #9 (6.1)
Reflection Exam #2 due

14

 12/8/09

 6.4 Irrational Numbers 
on the Geoboard

Study Guide for Final Exam provided.

Hwk:  6.4  (pp. 427-428) #1, 5b, 7a,
9, 13

 QUIZ #10 (6.2 & 6.3) 

15

12/15/09

FINAL EXAM
(Cumulative – Ch. 1-6)

 

FINAL EXAM
(Cumulative–
Ch. 1 to 6)
Hwk #3 Collected

(Revised 8/24/09)