Dr. Leveille leveillen@uhd.edu
7132212723 (office S748)
http://cms.uhd.edu/Faculty/LeveilleN
Spring 2010 Office Hours: MW 11:1512noon (from A628); TR 2:152:45pm
(from A607); 5:155:45pm (from A630)
COURSE Syllabus for: Math
Concepts I (3 credit hours) Math 332120737 at 45:15pm TR in
A630.
CATALOG DESCRIPTION: Topics are chosen from logic, set theory, mathematical systems, number theory, problem solving, estimation, and historical number systems.
PREREQUISITE: A grade of C or better in Math 1301 or Math 1310. Restricted to students in Urban Education or permission of CMS department chair.
AUDIENCE: This is a junior level mathematics education course which requires a background consisting of one semester of collegelevel algebra. The course is primarily intended for majors in education.
PURPOSE: This course strengthens and provides the background in mathematics necessary for teachers. Emphasis is on word problems, use of TI 73 calculators, NCTM and State of Texas Standards. Required for some education certification.
LEARNING OUTCOMES: At the completion of the course, the student – as a future mathematics teacher  should be able to:
I. 

Department: 

1. 
Use a variety of problem solving skills for
word problems. 

2. 
Perform and explain arithmetic with diverse
historical number systems and various number bases. 

3. 
Understand and explain place value. 

4. 
Perform and explain arithmetic with whole
numbers in a variety of modes. 

5. 
Perform and explain estimation calculations. 

6. 
Perform and explain calculations using
algebraic thinking. 

7. 
Perform and explain arithmetic and number theory
with integers. 

8. 
Perform and explain arithmetic with rational
numbers as fractions. 

9. 
Perform and explain arithmetic with decimals
and real numbers. 
II. 

Texas State Board of Educator Certification Mathematics Generalist Standards 

Standard I. 
Number Concepts: The mathematics teacher understands and uses
numbers, number systems and their structure, operations and algorithms,
quantitative reasoning, and technology appropriate to teach the statewide
curriculum* (Texas Essential Knowledge and Skills [TEKS]) in order to prepare
students to use mathematics. 

Standard II. 
Patterns and Algebra: The mathematics teacher understands and uses patterns,
relations, functions, algebraic reasoning, analysis, and technology
appropriate to teach the statewide curriculum* (Texas Essential Knowledge and
Skills [TEKS]) in order to prepare students to use mathematics. 

Standard V. 
Mathematical Processes: The mathematics teacher understands and uses
mathematical processes to reason mathematically, to solve mathematical
problems, to make mathematical connections within and outside mathematics,
and to communicate mathematically. 

Standard VI. 
Mathematical Perspectives: The mathematics teacher understands the
historical development of mathematical ideas, the interrelationship between
society and mathematics, and the evolving nature of mathematics and
mathematical knowledge. 

Standard VII. 
Mathematical Learning and Instruction: The mathematics teacher understands how
children learn and develop mathematical skills, procedures, and concepts,
knows typical errors students make, and uses this knowledge to plan,
organize, and implement instruction; to meet curriculum goals; and to teach
students to understand and use mathematics. 

Standard VIII 
Mathematical Assessment: The mathematics teacher understands
assessment and uses a variety of formal and informal assessment techniques
appropriate to the learner on an ongoing basis to monitor and guide
instruction and to evaluate and report student progress. 

Standard IX. 
Professional Development: The mathematics teacher understands mathematics
teaching as a profession, knows the value and rewards of being a reflective
practitioner, and realizes the importance of making a lifelong commitment to
professional growth and development. 
*Available from the Texas Administrative Code (TAC), Title 19, Part II, Chapter 111 Web site: http://www.tea.state.tx.us/rules/tac/chapter111/index.html
TEXTBOOKS: A Problem Solving Approach to Mathematics for Elementary School Teachers, Tenth Edition, by Billstein, Libeskind, and Lott, Addison Wesley, Boston, MA, 2009.
Connecting Mathematics for Elementary Teachers, by Feikes, Schwingendorf, and Gregg, Pearson AddisonWesley, Boston, MA, 2009.
MyMathLab Access Kit, Addison Wesley. Textbooks available in the UHD bookstore are bundled (ISBN 0321570553) with a student access code for MyMathLab which is a comprehensive mathematics program that algorithmically generates and automatically grades online homework assignments/quizzes. The code further provides online access to many publisher services as well as a complete electronic version of the text. With your code you will access assignments for your course using the directions on hardcopy handout.
Through the UHD Portal, http://www.pearsoncustom.com/tx/uhd_math, students have access to all Pearson student services as well as current course materials and review materials for prerequisite courses.
COURSE
CONTENT:
UNITS WITH APPROXIMATE TIME 
TEXT REFERENCE 
Unit I – TEXAS State Board for Educator Certification Standards Mathematics problems and discussion. 

Unit II – NCTM Standards** Mathematics problems and discussion. 
Throughout text 
Unit II – An Introduction to Problem Solving (4 hours) Topics or techniques to be covered include:
Mathematics and problem solving; explorations with patterns; reasoning and
logic. 
Sections 1.1 – 1.3 
Unit III – Numeration System and Sets (3 hours) Topics or techniques to be covered include:
Numeration systems; describing sets; set operations and their properties. 
Sections 2.1 – 2.3 
Unit IV – Whole Numbers and Their Operations (5 hours) Topics or techniques to be covered include:
Addition and subtraction of whole numbers; algorithms for wholenumber
addition and subtraction; multiplication and division of whole numbers;
algorithms for wholenumber multiplication and division; mental mathematics and
estimation for wholenumber operations. 
Sections 3.1 – 3. 5 
Unit V – Algebraic Thinking (5 hours) Topics or techniques to be covered include:
Variables; equations; functions. 
Sections 4.1 – 4.3 
Unit VI – Integers and Number Theory (7 hours) Topics or techniques to be covered include:
Integers and the operations of addition and subtraction; multiplication and
division of integers; divisibility; prime and composite numbers; greatest
common divisor and least common multiple. 
Sections 5.1 – 5.5 
Unit VII – Rational Numbers as Fractions (5 hours) Topics or techniques to be covered include:
The set of rational numbers; addition, subtraction, and estimation with
rational numbers; multiplication and division of rational numbers. 
Sections 6.1 – 6.3 
Unit VIII – Decimals and Real Numbers (9 hours) Topics or techniques to be covered include:
Introduction to decimals; operations on decimals; nonterminating decimals;
real numbers. 
Sections 7.1 – 7.4 Section 7.5 (optional) 
**Available from: http://www.nctm.org/standards/content.aspx?id=4294967312
STATEMENT
ON REASONABLE ACCOMMODATIONS: UHD adheres to all applicable federal,
state, and local laws, regulations, and guidelines with respect to providing
reasonable accommodations for students with disabilities. Students covered by
the Americans with Disabilities Act should register for services in S409
(7132218430) and contact me in a timely manner to arrange for appropriate
accommodations.
GENERAL
UNIVERSITY POLICIES: All students are subject to the University of
HoustonDowntown’s Academic Honesty Policy and to all other universitywide
policies and procedures as they are set forth in the University of
HoustonDowntown Catalog and Student Handbook.
EVALUATION:
1. Title Value Due Date
Test I 1/5 (100 points) T, February 16^{th}
Test II 1/5 (100 points) R, March 11^{th}
Test III 1/5 (100 points) T, April 13^{th}
Time and Effort 1/5 (100 points) composed of daily:
MyMathLab
(50 points)
Daily
Class Work (50 points)
Final Exam 1/5 (100 points) R, May 6^{th} at 4 – 6:30pm
2.
Additional Points (adds to
“Daily Class Work” points): Pass in hardcopy showing complete work explaining
answers to the online Mathematics problems on a printout of the TExAS Preparation Manuals found at: http://texes.ets.org/texes/prepMaterials
One point for each ten correct answers accompanied by a complete
explanation showing all necessary work along with your understanding and
teaching insights. Due no later than 5:45pm April 22^{nd}.
i)
#101
Generalist EC4 (Mathematics starts around page 66)
ii)
#111
Generalist 48
iii)
#135
Mathematics 812
3. The final course average will be used
to assign the final course grade according to the standard college formula:
450 – 500 points => 90
– 100 p
A
400 – 449 points => 80 – 89 p
B
350 – 399 points => 70 – 79 p
C
300 – 349 points => 60 – 69 p
D
0 – 299 points => 0 – 59 p F
Note:
NO makeups will be given. YOU are expected to come to every
class, be on time, take notes, read the textbooks, do the MyMathLab online assignments corresponding to the material
discussed in class. If you miss a test, see me as soon as possible. (I will do
your current average and we can discuss your options.) You will take the test
as a required “Daily Class Work”assignment.
There are
no classes March 15  19^{th}. Last university class day is M, May 3^{rd}.
Pass in a bluebook by the last day of class if you want scrap paper on the
final.
Grades
available officially at www.uhd.edu/eservices from noon
May 21st.
Suggestions
from the Fall 2007 class on being successful in math:
Practice, practice, practice! When you practice you will feel comfortable with what you are doing and you will get better and better at it. That goes for everything in life.
Continue w/the online quiz taking, it helps a great deal to prepare for the test.
Never take this course in the summer.
I think the practice test online help a lot. We got a better idea of what to study.
· Come to class
· Watch deadlines
· Do your Math labs
· If a quiz or review is given work them out and study them.
I would say to ask a lot of questions and go talk to the teacher alone for one on one help. (for clarification) And don’t get up on a problem and be prepared by studying to take a test.
Go to class Do Homework Study!
I really liked the practice tests; I would do them for all the tests.
Do the MML assignments before she teaches the material in class, that way it will be repetitive in your mind. Good luck J
Be patient and understanding Never give up and keep striving for the best. It may get stressful but think positive and try to make it fun.
In order to be successful in Math students should do the homework assigned to make sure they understand and develop a study group for help and support. Ask questions when something is not clear and do some practice tests in each chapter – some of the answers are in the back to check yourself.
Practice, Practice, Practice
Just work hard to do their work on time.
I believe that if you continue to do the quizzes online it would help a whole lot.
To be successful in this class I need determination, eagerness to learn, set goals that I need to accomplish, and be responsible with all my work.
Questions from students: I’m having trouble accessing the standards. Do I need to sign up for it to get to them? Am I missing a link? Can I do it for free? Help?
Use the inside cover of your book.
If that is not detailed enough go to http://www.nctm.org/standards
by clicking on this live link. On left, in the purple band, at NCTM Standards
click on Standards electronic (a popup when the cursor is on NCTM Standards)
then click on Math Standards and Expectations. Scroll through for
what you want.
If this does not work come to my office and you can try it here.
Dr. Leveille
Reading Recommendations:
TAC Standards, TEKS for Mathematics, are found at http://www.tea.state.tx.us/rules/tac/chapter111/index.html
Math3321Fall2006CurriculumFocalPointsReleased.htm
Rubrics can be created at http://rubistar.4teachers.org/index.php
Good books to use for Connections (NCTM Standards) DoCountingBooksAddup?NCTMConnections1162004
NCTMWorkshop11604Docounting booksaddup.htm
A Variety of Assessment Strategies CurrentIssuesinMathematicsEducationCoursesMAAAugust42005.ppt
See also: Special “Interest Links” on my home page.