Elayne Bowman
The University of Oklahoma Department of Mathematics
Welcome
to my OU webpage. At OU I teach Math 2213: Mathematical
Systems and Math 2223: Data Analysis and Geometric
Systems. Syllabi for the two classes may be found on this page by clicking
on the links above. Each course requires a Lesson Plan
Project that may be found by clicking on this link. This webpage has been
created for my students, elementary education majors, at the University of Oklahoma
me
at ebowman@ou.edu .
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Class Links
Troubled about the course? Looking for ideas? The links below are links that you as a student in Math 2213 or Math 2223 will find invaluable to your success in the course.
Desire to Learn - Updated course info will be located at this site, including your syllabus, exam dates, and alterations to our weekly class schedule.
Oklahoma State Department of Education -
PASS objectives for your level of teaching may be found at this site for every
subject, including mathematics. Links for most public and private schools
throughout Oklahoma
National Council of Teachers of Mathematics - National Standards for all levels of mathematics may be found at this site, along with teaching idea links.
Oklahoma
Council of Teachers of Mathematics -
OCTM is an organization of classroom teachers who wish to actively promote
better teaching of mathematics in the schools of Oklahoma
My Personal Webpage - This webpage has links, lesson plans, and
teaching ideas that I have put together over the past ten to fifteen years of
teaching. You are welcome to use any of my ideas for your classroom.
Lesson Plan Help Sites – These pages are lesson plans provided by teachers that you may use to give you ideas to do your own lesson plans.
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A Bit About Me....
In addition to
teaching for OU, I also teach full-time at Mustang
High School. My course load there includes AP Calculus, Calculus and
Foundations for College Algebra. My husband, a physics/computer teacher
at Mustang High School, and I live in Mustang, Oklahoma with a house full of
boys, cats, and dogs. My interests include sewing, cooking, fishing, computers,
and travel. The picture of me above is on the Millennium Footbridge over
the Thames River
in London
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Math
2213: Mathematical Systems
Spring
2009 Course Syllabus - Instructor: Elayne Bowman
E-Mail:
ebowman@ou.edu Office: Phsc 823
Website:
http://faculty-staff.ou.edu/B/Elayne.W.Bowman-1/
Prerequisite
& Overview
Prerequisite:
Prerequisite: plane geometry, intermediate algebra, enrollment in elementary
teachers' program. The course consists of a systematic analysis of arithmetic,
a presentation of intuitive algebra and the structure of number systems, and
functional relationships. This course is not open to students in the University
College.
Required Materials
-Textbook: "A Problem Solving
Approach to Mathematics for Elementary School Teachers", by Billstein,
Liberskind & Lott, 9th edition (Chapters 1-6)
-Scientific calculator
Class Structure and Expectations
Classes will include lecture, group
activities, hands-on discovery, discussion, lesson plans, exams, and necessary
practice. Students will be expected to prepare for, attend, and
participate in all classes. Educational professionalism will be expected from
all students.
Assessment and Grades
Students’ achievement will be assessed by
- Lecture/Homework
Quizzes(unannounced) 5 quizzes @ 10 pts/each
= 50 pts.
-Lesson Plan Unit (details follow)
1 unit @ 100
pts/each = 100 pts.
-Unit
exams 3 exams @ 150 pts/each = 450 pts.
Total
points
600 pts.
Please note: Grades are not “averaged”.
This point system is strictly followed to determine your grade.
540-600
points = A
480-539.9 points = B
420-479.9 points = C
360-419.9 points = D
0-359.9 points = F
Student Disabilities
"The University of Oklahoma is committed
to providing reasonable accommodation for all students with disabilities.
Students with disabilities who require accommodations in this course are
requested to speak with the professor as early in the semester as possible.
Students with disabilities must be registered with the Office of Disability
Services prior to receiving accommodations in this course. The Office of
Disability Services is located in Goddard Health Center, Suite166, phone
405/325-3852 or TDD only 405/325-4173."
Math 2213
Monday/Wednesday Tentative Class Schedule
CHECK
DESIRE TO LEARN REGULARLY FOR CHANGES TO THIS!!!
Week Day Date Topic or
Activity
1 M 1/19 NO CLASS –
W 1/21 Introduction
& Exploration w/ Patterns
2 M 1/26 Problem Solving
W 1/28 Algebraic
Thinking
3 M 2/2 Logic
W 2/4 Sets
& Set Operations
4 M 2/9 Whole Numbers Operations
W 2/11 Functions
5 M 2/16 Review for Exam 1
W 2/18 Exam
1
6 M 2/23 Numeration Systems
W 2/25 Algorithms: Whole Numbers + & -
7 M 3/2 Algorithms: Whole Numbers x & /
W 3/4 Mental
Math & Estimation
8 M 3/9 **Teaching Unit Due**
& Presentations
W 3/11 Integers
& Integer Operations
9 M 3/16 NO CLASS – SPRING BREAK
W 3/18
NO CLASS – SPRING BREAK
10 M 3/23 Review
for Exam 2
W 3/25 Exam 2
11 M 3/30 Divisibility
& Primes & Composites
W 4/1 GCD & LCM
12 M 4/6 Clock and Modular Arithmetic
W 4/8 Rational
Numbers
13 M 4/13 Operations
w/ Rational Numbers
W 4/15 Proportional
Reasoning
14 M 4/20 Decimals & Decimal Operations
W 4/22 Percents
15 M 4/27 Computing Interest
W 4/29 Real
Numbers
16 M 5/4 Review for Exam 3
W 5/6 Exam
3
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Unit Lesson Plan Project Due March 9, 2009 100 points possible
The following is a guideline for your Unit
Lesson Plan Project that is due in March.
Over the next few weeks I will be sharing ideas that may be
helpful. One very good resource would be
any students who did the project last fall.
Most of them enjoyed it and named it as one of their favorite parts of
the class.
The Unit Lesson Plan Project must be typed, doubled-spaced, using
12-point font size and placed in some type of a folder or notebook. A pocket
folder is fine. It should consist of the following parts and will be graded
using the following rubric:
Part 1 – 20pts. Introduction and Topic Background – One to
two-page essay – An essay consists of 3 to 5
well-organized paragraphs. Watch grammar
and spelling.
The introduction and background section of
the project should include the following information and be well written:
1)
Why did you choose this topic?
2)
What age or grade do you intend to
teach the unit to?
3)
How does this topic tie in with other
topics that children need?
4)
Which of the NCTM or PASS Standards
are addressed by this topic? Be specific.
Part 2 – 60pts. Lesson Development – Individual Lesson Plans
The lesson development section should
include:
1)
Table of Contents (5pts.) including the topics for each of the five days and
2)
FIVE individual lesson plans – one for each of
the 5 days of the unit.
An example of a lesson plan for one day is
included at the end of the instructions.
Specific examples of worksheets or
assessments that you plan to use should be included with the project in this
section.
There are many wonderful websites that have
lesson plans and lesson ideas on them. A
maximum of two lessons may come from any one website. Some lessons, but not
all, may be worksheets. Be sure to include hands-on activities in your lessons. I do not believe that as teachers we must
always be reinventing the wheel.
However, if you use someone else’s hard work, you must, give them the appropriate credit for it. A footnote showing the link to the website or
source would be sufficient, along with the
appropriate citation on the “works cited” page of the project.
Part 3 – 10pts. Summary – One or two paragraphs
The summary should include what you learned
doing the Unit Lesson Plan Project and ideas on how you could adapt it to
various age groups. A paragraph consists of 5 or more well
organized sentences.
Part 4 – 10 pts. Works Cited – Bibliography Page
The Works Cited or Bibliography Page should
include every resource you used in the preparation of the unit. That would include any websites visited, any
textbooks, or even teachers that you visit with in preparing your unit. A minimum of three resources is required.
Sample One Day’s Lesson Plan
Estimating and Graphing with M&M
Candies
Objectives:
The students should be able to estimate an unknown quantity based on experience
and then compare their estimations with actual amounts by preparing graphs.
Materials:
Individual packages of M&M candies for each student
Worksheets to record data
Transparency film and Overhead markers to make graphs
One large sack of M&M candies
Warm-up:
Using the large sack of M&M candies, have students guess the total number
of candies in the bag. Write all guesses on the board. Then have
the students guess about the colors in the bag. Write these guesses down
as well. There should be a wide variance in their guesses. Discuss
what estimation means and its purpose.
Activity:
Divide the class into groups of two or three students each. Give each
student a package of M&M candies and a worksheet, and each group a sheet of
transparency film and overhead markers. Before opening the packages of
M&M candies, students are to estimate and record the total number of
M&M candies in their individual packages and also the color break
down. Students should then open their packages and record the actual data
in the spaces provided on the worksheet. Students then compare and
compile the data collected in their groups and prepare one graph or set of
graphs per group comparing their estimations with their actual findings.
Each group will present their findings and graphs to the class and may eat
their M&M candies.
Wrap-up:
Compare the data from the class. Discuss similarities and
differences. Discuss sampling. Have the students use their data to
make new guesses on the number of M&M candies in the larger bag. This
may be used as a springboard to a unit on ratio and proportion.
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Math
2223: Mathematical Systems
Spring
2009 Course Syllabus - Instructor: Elayne Bowman
E-Mail:
ebowman@ou.edu Office: Phsc 823
Website:
http://faculty-staff.ou.edu/B/Elayne.W.Bowman-1/
Prerequisite
& Overview
Prerequisite: plane geometry, intermediate algebra, enrollment in
elementary teachers' program. The course consists of an introduction
to probability and statistics, informal geometry, graphing linear equations and
trigonometry. This course is not open to students in University College.
Required Materials
-Textbook: "A Problem Solving
Approach to Mathematics for Elementary School Teachers", by Billstein,
Liberskind & Lott, 9th edition (Chapters 7-12)
-Scientific calculator
Class Structure and Expectations
Classes will include lecture, group
activities, hands-on discovery, discussion, lesson plans, exams, and necessary
practice. Students will be expected to prepare for, attend, and
participate in all classes. Educational professionalism will be expected from
all students.
Assessment and Grades
Students’ achievement will be assessed by:
- Lecture/Homework
Quizzes(unannounced) 5 quizzes @ 10 pts/each
= 50 pts.
-Lesson Plan Unit (details follow)
1
unit @ 100 pts/each
= 100 pts.
-Unit
exams 3
exams @ 150 pts/each = 450
pts.
Total
points
600 pts.
Please note: Grades are not “averaged”.
This point system is strictly followed to determine your grade.
540-600
points = A
480-539.9 points = B
420-479.9 points = C
360-419.9 points = D
0-359.9 points = F
Student Disabilities
"The University of Oklahoma is committed
to providing reasonable accommodation for all students with disabilities.
Students with disabilities who require accommodations in this course are
requested to speak with the professor as early in the semester as possible.
Students with disabilities must be registered with the Office of Disability
Services prior to receiving accommodations in this course. The Office of
Disability Services is located in Goddard Health Center, Suite166, phone
405/325-3852 or TDD only 405/325-4173."
Math 2223 Monday/Wednesday Tentative Class Schedule
CHECK DESIRE TO LEARN REGULARLY FOR CHANGES
TO THIS!!!
Week Day Date Topic or
Activity
1 M 1/19 NO
CLASS –
W 1/21 Introduction
& Probability
2 M 1/26
Geometric Probability &
Tree Diagrams
W 1/28 Simulations
& Odds
3 M 2/2 Conditional Probability &
E-Value
W 2/4 Permutations
& Combinations
4 M 2/9 Statistical Graphs & Abusing
Statistics
W 2/11 Measures:
Central Tendency, Variations
5 M 2/16 Review for Exam 1
W 2/18 Exam
1
6 M 2/23 Geometric
Basic Notions
W 2/25 Polygons
& Angles
7 M 3/2 3-D Geometry
W 3/4 Networks
8 M 3/9 **Teaching Unit Due** &
Presentations
W 3/11 Constructions
& Congruence
9 M 3/16 NO CLASS – SPRING BREAK
W 3/18 NO
CLASS – SPRING BREAK
10 M 3/23 Review for Exam 2
W 3/25 Exam 2
11 M 3/30 Triangles & Trigonometry
W 4/1 Lines: Cartesian Coordinate System
12 M 4/6 Linear Measures
W 4/8 Areas: Polygons & Circles
13 M 4/13 Pythagorean
Theorem & Distance
W 4/15 Surface
Area
14 M 4/20 Volume, Mass, & Temperature
W 4/22 Translations, Rotations,
Reflections
15 M 4/27 Size Transformations &
Symmetries
W 4/29 Tessellations
16 M 5/4 Review for Exam 3
W 5/6 Exam 3