Dr. Leveille      leveillen@uhd.edu     713-221-2723 (office S748)


Spring 2010 Office Hours: MW 11:15-12noon (from A628); TR 2:15-2:45pm (fromA607), 5:15-5:45pm (from A630)


Course Syllabus for: Math 3322 – 20724 Math Concepts II (3 credit hours) at 1-2:15pm 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 college-level 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:






Use a variety of problem solving skills for word problems.



Apply elementary principles of counting.



Apply elementary principles of probability.



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



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



Calculate measures up to three dimensions.



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



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



Use calculators appropriately.



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 Addison-Wesley, 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.





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 (713-221-8430) and contact me in a timely manner to arrange for appropriate accommodations.


GENERAL UNIVERSITY POLICIES: All students are subject to the University of Houston-Downtown’s Academic Honesty Policy and to all other university-wide policies and procedures as they are set forth in the University of Houston-Downtown Catalog and Student Handbook.



1.      Title                            Value                          Due Date

Test I                           1/5 (100 points)           T, February 23rd 

Test II                         1/5 (100 points)           R, March 11th

Test III                                    1/5 (100 points)           T, April 13th

Time and Effort          1/5 (100 points)           daily

            MyMathLab (50 points)

            Daily Class Work (50 points)

Final Exam                  1/5 (100 points)           R, May 6th at 1-3:30pm


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 22nd.

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)


            NO make-ups 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 15-19th. Last university class day is Monday, May 3rd. 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


NCTMWorkshop11-6-04Docounting 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 pop-up 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