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 (fromA607), 5:155:45pm (from A630)
Course Syllabus for: Math 3322 – 20724 Math Concepts II (3 credit hours) at 12:15pm TR in A607.
CATALOG DESCRIPTION: Topics are chosen from measurement, estimation, problem solving, counting and probability, expected value, simulation, introduction to geometry. The use of technology is also included.
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 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. 
Apply elementary principles of counting. 

3. 
Apply elementary principles of probability. 

4. 
Apply elementary principles of statistics
(including multistage and conditional probability, expected value, and
statistical graphs). 

5. 
Understand relationships among points, lines,
planes, and polygons. 

6. 
Calculate measures up to three dimensions. 

7. 
Calculate volume, capacity, mass and
temperature in both English and metric systems. 

8. 
Understand basic properties of translational,
rotational, and reflective symmetry. 

9. 
Use calculators appropriately. 
II. 

Texas State Board of Educator Certification Mathematics Generalist Standards 

Standard III. 
Geometry and Measurement: The mathematics teacher understands and uses
geometry, spatial reasoning, measurement concepts and principles, and
technology appropriate to teach the statewide curriculum* (Texas Essential
Knowledge and Skills [TEKS]) in order to prepare students to use mathematics. 

Standard IV. 
Probability and Statistics: The mathematics teacher understands and uses
probability and statistics, their applications, 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 the
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 problem and discussion. 
Throughout text 
Unit III – Proportional Reasoning, Percents, and Applications (6 hours) Topics or techniques to be covered include:
Ratios, proportions, and proportional reasoning; percents; computing
interest. 
Sections 8.1 – 8.3 
Unit IV – Probability (6 hours) Topics or techniques to be covered include:
How probabilities are determined; multistage experiments with tree diagrams
and geometric probabilities; using simulations in probability; odds,
conditional probability, and expected value; using permutations and
combinations in probability. 
Sections 9.1 – 9.5 
Unit V – Data Analysis/Statistics: An Introduction (7 hours) Topics or techniques to be covered include:
Displaying data; measures of central tendency and variation; abuses of
statistics; designing experiments/collecting data. 
Sections 10.1 – 10. 5 
Unit VI – Introductory Geometry and Linear Systems (7 hours) Topics or techniques to be covered include:
Basic notions of geometry; polygons; angles; geometry in three dimensions;
systems of linear equations. 
Sections 11.1 – 11.4, 12.5 
Unit VII – Concepts of Measurement (6 hours) Topics or techniques to be covered include:
Linear measure; areas of polygons and circles; Pythagorean theorem, distance
formula, and equation of a circle; surface areas; volume, mass, and
temperature. 
Sections 13.1 – 13.5 
Unit VIII – Motion Geometry (6 hours) Topics or techniques to be covered include:
Translations and rotations; reflections; size transformations; symmetries. 
Sections 14.1 – 14.4 
**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 with Disabled Student 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 23^{rd}
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) daily
MyMathLab (50 points)
Daily Class Work (50 points)
Final Exam 1/5 (100 points) R, May 6^{th} at 13:30pm
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 EC – 4 (Mathematics starts around page 66.)
ii)
#111
Generalist 4 – 8
iii)
#135
Mathematics 8 – 12
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
 454 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 (not
passing)
Note:
NO makeups will be given. YOU are expected to come to every
class, be on time, take notes, read the textbooks corresponding to the class
material, and complete the MyMathLab online assignments. 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 1519^{th}. Last university class day is Monday,
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.
_______________________________________________________________________________________________________________________________________________________________________________________________________________
Reading Recommendations:
TAC
Standards, TEKS for Mathematics, are found at http://www.tea.state.tx.us/rules/tac/chapter111/index.html
NCTMWorkshop11604Docounting booksaddup?
See
also: Special “Interests Links” on my homepage.
Student questions: 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