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Syllabus MATH 2008 – Foundations of Numbers and Operations 1
G GORDON
Gordon College University System of Georgia DIVISION OF
MATHEMATICS AND NATURAL SCIENCES 419 College Drive
Barnesville, GA 30204
ph. 678-358-5838
www.gordonstate.edu
I. COURSE INFORMATION:
Course Number and Title: MATH 2008 Foundations of Numbers and
Operations (CRN 226)
Term: Spring 2021
Building-Room: Online only
Credit Hours: 3 Days: Monday- Wednesday
Time: 9:30 AM – 10:45 am
II. INSTRUCTOR INFORMATION:
Professor: Mr. Geoff Clement
Office Location: IC # 243 (= 35)
Phone: 678-359-5820
Office Hours:
TR 8:30-11:30, MW 11:30-12:30, Other times by appointment
e-mail: [email protected]
III. TEXT (S) AND OTHER
RESOURCES Textbook: Billstein, R., Libeskind, S., & Lott. J.
(2020). A Problem Solving Approach to Mathematics for
Elementary School Teachers (13th
edition). Boston, MA: Pearson/Addison Wesley.
Chapters 1, 2, 3, 5, 6, 7, and 8. The text is optional since MML
includes the e-text.
Required: My Math Lab (Course ID: clement42113) (MML Technical
Support: 1-800-677-6337)
NCTM Principles and Standards for School Mathematics
www.nctm.org
NCTM Curriculum Focal Points for Pre-Kindergarten through Grade
8 Mathematics www.nctm.org
This course will be enhanced with Desire2Learn (D2L) and other
course resources on Dr. Clement’s professional
website: http://faculty.gordonstate.edu/gclement
Calculator: A scientific calculator is required. Some course
work will be done without the
calculator, while other course work will require a calculator.
Students are not allowed to share
calculators during quizzes and tests, and cell phone calculators
are not allowed.
We are using a cohort model in our program, so strong effort
will be made to build community as we promote sound
teaching and learning. From 3/30 on, this class is 100% online,
using both My Math Lab and Desire2Learn.
While prospective teachers should have mathematics content
knowledge that reaches beyond elementary
content standards, particular emphasis in this course will be
placed on CCSSM standards:
Common Core State Mathematics Standards: Pre-K – Grade 5
http://www.corestandards.org/
Georgia Standards of Excellence
https://www.georgiastandards.org/Georgia-Standards/Pages/default.aspx
http://www.gordonstate.edu/http://www.gordonstate.edu/mailto:[email protected]://www.nctm.org/http://www.nctm.org/http://faculty.gordonstate.edu/gclementhttp://www.corestandards.org/https://www.georgiastandards.org/Georgia-Standards/Pages/default.aspx
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Syllabus MATH 2008 – Foundations of Numbers and Operations 2
IV. CATALOG DESCRIPTION: Pre-Requisites: MATH 1001, MATH 1111,
or MATH 1113
Description: This course is an Area F introductory mathematics
course for early childhood education majors. This course will
emphasize the understanding and use of the major concepts of number
and operations. As
a general theme, strategies of problem solving will be used and
discussed in the context of various
topics.
VI. COURSE OUTLINE:
A. Mathematical Processes
1. Mathematics as Communication 2. Mathematics as Reasoning 3.
Mathematics as Problem Solving
B. History of Numeration
1. Numeration Systems 2. Place Value
C. Number Sense
1. Sets of Numbers: Natural Numbers, Whole Numbers, Integers,
Rational Numbers, Irrational Numbers, Real Numbers
2. Even and Odd Integers 3. Order Relationships 4.
Estimation
D. Concepts of Operations
1. Operations on Sets of Numbers 2. Identity Elements for
Addition and Multiplication 3. Inverse Operations 4. Exploration of
Other Bases 5. Proportional Reasoning and Percent
E. Number Theory
1. Divisibility Rules 2. Greatest Common Factor 3. Least Common
Multiple 4. Prime and Composite Numbers
VII. OBJECTIVES/GOALS/LEARNING OUTCOMES
(A) Specific Objectives: All students will learn to:
o Understand numbers, ways of representing numbers,
relationships among numbers, and number
systems.
o Understand meanings of operations and how they relate to one
another. o Compute fluently and make reasonable estimates. o Apply
multiple problem solving strategies and understand how approaches
to solutions relate to one
another. (B) General Education Outcomes: This course, by means
of the lectures, activities, and course
requirements, addresses the following Gordon College General
Education Expected Outcomes:
1. Students will demonstrate competence in college-level reading
and writing.
2. Students will demonstrate competence in oral
communications.
3. Students will be aware of basic bibliographic research and
resources.
4. Students will conduct routine information technology tasks
through the use of a variety of computer
applications.
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Syllabus MATH 2008 – Foundations of Numbers and Operations 3
5. Students will demonstrate a basic knowledge of the
fundamentals of college-level mathematics.
(C) GORDON LEARNING OUTCOMES:
Unit Philosophy:
A Gordon teacher is one who possesses the abilities, skills,
knowledge, and confidence to inspire and
enable each student to become a lifelong learner. A more
detailed explanation of the unit philosophy may
be found at
http://www.gordonstate.edu/education/teacher-education-philosophy
.
Purposes and goals for Gordon’s Elementary Education Program are
included at
http://www.gordonstate.edu/education/early-childhood-special-education-purpose-and-overall-goals-
of-
the-degree-p .
There is a list of resources at
http://www.gordonstate.edu/education/information-for-current-students.
The Math 3001-3002-3003 courses are primarily mathematics
content courses, but they should impact
prospective teachers’ knowledge of curriculum, students,
learning environments, planning, and
instructions, as well as professionalism and assessment.
Elementary teachers must be aware of and
proficient with Grades preK-8 mathematics.
Provided within the Common Core, the eight Standards for
Mathematical Practice are:
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of
others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
V. CONCEPTUAL FRAMEWORK:
A Gordon teacher is one who possesses the abilities, skills,
knowledge, and confidence to inspire and enable each student to
become a lifelong learner.
The entire toolkit of the Early Childhood Education Program is
described by ten conceptual framework outcomes, organized within
five categories of the Georgia Framework for Teaching. Each
outcome
contains four indicators, with the fourth indicator relating to
dispositions. In summary, there are thirty
indicators related to the knowledge and skills essential to
teaching for learning, and ten indicators of
dispositions inherent within great teachers. On the chart below,
the ECE program outcomes and
indicators are summarized and linked to sources of evidence that
will be evaluated in this course.
Alignment of Framework, Outcomes, and Related Indicators:
Conceptual Framework Outcomes Indicators
Indicators in bold type are
assessed in this semester.
MATH 2008
Foundations of
Numbers and
Operations
Sources of Evidence
http://www.gordonstate.edu/education/teacher-education-philosophyhttp://www.gordonstate.edu/education/early-childhood-special-education-purpose-and-overall-goals-%09of-%09the-degree-phttp://www.gordonstate.edu/education/early-childhood-special-education-purpose-and-overall-goals-%09of-%09the-degree-phttp://www.gordonstate.edu/education/information-for-current-students
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Syllabus MATH 2008 – Foundations of Numbers and Operations 4
adjustments in teaching to improve performance.
C. Professional Growth
D. Dispositions
CF10. The candidate encourages students to
take responsibility for their learning and
provides multiple opportunities for them to
develop proficiency.
A. Formative Assessment
B. Data Management
C. Assessment for Learning
D. Dispositions
Conte
nt
and
C
C
D
O
CW
S
JE
CF1. The candidate demonstrates an accurate understanding of
elementary curriculum within
the contexts of central concepts, tools of
inquiry, structures and engagement of learners.
A. Subject Matter B. Integration of Subject
Content
C. Diversity
D. Dispositions
X X
X X
X
X X
Know
ledge
of
CF2. The candidate demonstrates knowledge of educational
foundations within the contexts of
law, philosophy, psychology, sociology, and
technology.
A. Child Growth & Development
B. Learning Connections
C. Critical Thinking D. Dispositions
CF3. The candidate demonstrates knowledge of learning theory
within the contexts of child
development, family and parent dynamics,
human exceptionalities and diversity.
A. Planning B. Response to Diversity
C. Appropriate Curriculum
D. Dispositions
X
Lea
rnin
g E
nvir
onm
ents
,
CF4. The candidate is an advocate for the
success of all children in their care and provides
nurturing guidance appropriate to their
development.
A. Respect
B. Advocacy
C. Compassion &
Understanding
D. Dispositions
CF5. The candidate demonstrates simplicity in articulation of
the curriculum based upon
understanding the complexity of learner needs
and the systemic nature of assessment,
planning, and accommodations in teaching
strategies.
A. Learning Design B. Management
C. Climate
D. Dispositions
X X X
CF6. The candidate demonstrates an effective utilization of
technology and curricular
resources in the implementation of learning
plans.
A. Learning Strategies B. Media
C. Technology
D. Dispositions
X X
X
X X
X
X
Pro
fess
ional
ism
CF7. The candidate models expectations held for students in
his/her communication,
demeanor, commitment to personal growth, and
sense of empathy.
A. Communication B. Exemplary Behaviors
C. Empathy
D. Dispositions
X X X
CF8. The candidate collaborates with parents, other educators,
and members of the
community to improve the learning process for
all students.
A. Collegiality B. Parent Communication
C. Sensitivity
D. Dispositions
As CF9. The candidate utilizes analysis of the
individual student’s assessment to make A. Analysis of Impact B.
Reflective Planning
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Syllabus MATH 2008 – Foundations of Numbers and Operations 5
*Evidence Abbreviations: CC =Course Content; DO = Directly
Observed; CWS = Candidate Work
Sample; JE = Journal Entry
VIII. INSTRUCTIONAL METHODS:
Problem-centered teaching Cooperative Learning Independent
Learning Direct Instruction
IX. ATTENDANCE:
Class attendance is required. Each student is responsible for
signing the Attendance Sheet during each class period. Students are
responsible for all instruction, every change in the syllabus,
and
all material covered in class whether or not they are present.
Students who enroll in the course
late are responsible for material covered before they enrolled.
Students will be expected to
participate in online instruction in Pearson’s My Math Lab and
in Brightspace/Desire2Learn.
Withdrawals from Class For full-term courses, a student may
withdraw from a course up to the midpoint of the semester and
receive the grade of “W” without penalty. A student who simply
abandons their classes will be
given an “F” at the end of the semester. To withdraw from a
course, a student may visit the
Registrar’s office in Lamdin Hall and process the form through
the Registrar’s office.
X. ASSESSMENT
A student’s grade in the course will be determined by individual
test scores, projects, and daily assignments. The daily grade comes
from classwork and homework activities, projects, and journal
entries (together worth 100 points or 12.5%). Tests count for
400 points or 50% of the course
average. There is a test on each of our 4 units (worth 100
points each), and there will be a
comprehensive final exam (worth 100 points, counting as part of
the test average). The final exam
may also be substituted for the lowest unit exam. The average of
several announced and
unannounced quizzes will be worth 100 points or 12.5%. My Math
Lab homework will count 200
points or 25%. The student’s final grade will then be computed
out of a total of 800 points. Your
course grade will then be decided according to the following
scale (after rounding):
90 - 100 % = A
80 - 89 % = B
70 - 79 % = C
60 - 69 % = D
Below 59 % = F A. There will be two in-class tests given during
the semester and a final examination, and all tests
will be online in My Math Lab (including the final exam). All
tests and the final examination are
required. The dates for the in-class tests are announced in a
course outline at the end of the course
syllabus and the final examination details are announced by the
College. If you miss a test, you
may receive a grade of “zero” for that test unless you have a
documented excuse. Make-up tests
are given at the instructor’s convenience. If your final exam
grade is higher than your lowest test
grade, then the final exam grade will replace your lowest test
grade.
B. All quizzes, homework assignments, projects, and journal
assignments are required. There are no
make-up quizzes and no make-up homework assignments. The lowest
daily grade and the lowest
quiz grade will be dropped.
C. All daily assignments are due during class time with a 20%
penalty for assignments coming in
late on the same day and a 0 for all missed deadlines.
D. Writing assignments should be research-based, using best
practices for teaching mathematics,
not based solely on your opinions. Document your sources. Your
paper should be of college-
level quality showing competency in spelling, grammar,
punctuation, and style.
E. When submitting online assignments, either scan your
completed work or take photos of each
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Syllabus MATH 2008 – Foundations of Numbers and Operations 6
page. Include your name on each page, and take good quality
photos with a lot of light.
XI. RESOURCES:
Read your book. Ask your instructor for help in class and
outside of class. We will schedule extra help sessions when the
need arises. There is free tutorial help available from the Student
Success Center.
On Gordon’s web page, you will find many resources. To find
these, go to www.gordonstate.edu;
Degree programs; Teacher education; Bachelor of Science in Early
Childhood Education; Information for
current students.
The course syllabi and course resources are in Desire2Learn and
also on your instructor’s website
at http://faculty.gordonstate.edu/gclement/ . In D2L, we use
News Announcements, Content, Assignments, Quizzes, Discussions, and
Grades.
Besides office hours, the SSC (Student Center 2nd
floor) is available for tutoring assistance.
Consider creating a study group with fellow classmates.
If you need academic accommodations for a disability, you must
go through the process of receiving approved
accommodations through the Student Counseling office in the
Student Center (2nd
floor). Their telephone
number is 678-359-5585. Any student who is certified as disabled
and who thus qualifies for special
accommodations must provide the instructor with appropriate
evidence of such certification. Reasonable
accommodations will be made to students who have proper
documentation and inform the instructor at the
beginning of the course.
XII. ACADEMIC INTEGRITY: Each student must do his or her own
work on tests and the final examination without assistance from any
outside source not specifically authorized by your instructor.
Ref.: Student Code of Conduct – Academic Catalog.
Ref.: Georgia Code of Ethics for Educators
Classroom Etiquette: Students are expected to treat the
instructor and other students with respect. Please
refrain from the following during class time:
1. Talking with other students
2. Leaving class early (other than an emergency)
3. Leaving the desk to sharpen a pencil in the middle of a
lecture.
4. Consistently late coming to class
5. Pagers beeping during class
6. Placing or receiving cellular phone calls or text messaging
during class.
All electronic devices (radios, telephones, pagers, etc.) must
be turned off upon entering the class.
XIII. OFFICE PROCEDURES.
To get help from me:
1. Bring your textbook, your calculator, and your class
notes.
2. Make sure you have read the lesson notes and studied the
examples.
3. Be prepared to show me at least two problems from the section
that you have attempted to
solve.
4. Bring your incomplete or complete solution to each
problem.
5. Ask for help as early as possible. Don’t wait until test days
to get your questions answered.
Required Statements:
http://www.gordonstate.edu/
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Syllabus MATH 2008 – Foundations of Numbers and Operations 7
Title IX Gordon State College is committed to providing an
environment free of all forms of discrimination and sexual
harassment,
including sexual assault, domestic violence, dating violence and
stalking. If you (or someone you know) has experienced or
experiences any of these incidents, know that you are not alone.
All faculty members at Gordon State College are
mandated reporters. Any student reporting any type of sexual
harassment, sexual assault, dating violence, domestic
violence or stalking must be made aware that any report made to
a faculty member under the provisions of Title IX will be
reported to the Title IX Coordinator or a Title IX Deputy
Coordinator. If you wish to speak with someone confidentially,
you
must contact the Counseling and Accessibility Services office,
Room 212, Student Life Center. The licensed counselors in
the Counseling Office are able to provide confidential support.
Gordon State College does not discriminate against any
student on the basis of pregnancy, parenting or related
conditions. Students seeking accommodations on the basis of
pregnancy, parenting or related conditions should contact
Counseling and Accessibility Services regarding the process of
documenting pregnancy related issues and being approved for
accommodations, including pregnancy related absences as
defined under Title IX.
ADA and 504 If you have a documented disability as described by
the Americans with Disabilities Act (ADA) and the Rehabilitation
Act of
1973, Section 504, you may be eligible to receive accommodations
to assist in programmatic and/or physical accessibility.
The Counseling and Accessibility Services office located in the
Student Center, Room 212 can assist you in formulating a
reasonable accommodation plan and in providing support in
developing appropriate accommodations to ensure equal
access to all GSC programs and facilities. Course requirements
will not be waived, but accommodations may assist you in
meeting the requirements. For documentation requirements and for
additional information, contact Counseling and
Accessibility Services at 678-359-5585.
House Bill 280 For information regarding House Bill 280, see the
University System of Georgia at the following link:
http://www.usg.edu/hb280
Religious Holidays Gordon State College acknowledges that the
academic calendar can sometimes conflict with major holidays from
among
our diverse religious traditions. If a student must miss class
due to the observance of a religious holiday, that absence may
be excused. To be excused, the student must inform his/her
instructors before the absence and make alternate
arrangements for any work due at the time of the absence. An
excused absence for the observance of a religious holiday
does not excuse student from responsibility for required course
work.
Hightower Collaborative Learning Center & Library The
Hightower Collaborative Learning Center & Library offers Gordon
State students specialized library research
assistance. Students can meet with their personal librarians for
one-on-one help in each discipline, major, or course to
search and evaluate information sources effectively. Go to
http://libcal.gordonstate.edu/ to schedule an appointment by
clicking the Personal Librarian tab or click on the Presentation
Practice Room tab to make a reservation. For immediate
help, call 678-359-5076 or stop by the Circulation/Check-Out
Desk. You can also Ask A Librarian or drop by the
Circulation/Check-Out Desk. Check the library’s web site for
hours, electronic resources, and LibGuides (subject- or class-
specific research guides).
COVID-19 Statement:
http://www.usg.edu/hb280http://libcal.gordonstate.edu/mailto:[email protected]://www.gordonstate.edu/departments/library/index.html
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Syllabus MATH 2008 – Foundations of Numbers and Operations 8
Creating a Healthy Environment
At Gordon State College, we are committed to the health and
safety of our students, faculty and staff. Since March 2020,
our campus has been addressing the impact of the Coronavirus
(COVID-19) on a daily basis. The return to campus will be
based on a new reality where adjustments will be made to every
facet of the “on-campus” experience. This will truly be a
“Power of WE!” moment, as the safety of the entire campus will
depend on our institutional values.
You will be expected to follow “The Healthy Highlander Way“ as
you participate in classes that require class attendance.
Posters describing the Healthy Highlander Way are displayed in
each building on campus and can be found in the “Return
to Campus Guide” linked to the GSC home page.
If you have one of the symptoms of COVID-19, you should notify
your professor, stay home, and contact your personal
physician prior to returning to campus. Commuter students should
also notify the Student Health Center at
[email protected]. In addition, residential students
should contact their Community Assistant and schedule
an appointment with the Student Health Center at
678-359-5456.
One of the most effective ways to stop the spread of the virus
is wearing a face covering. You must wear a face covering at
all times when in public on any Gordon State College campus.
Anyone not using a face covering when required will be
asked to wear one or leave the area. Repeated refusal to comply
with the requirement may result in discipline through the
applicable code of conduct for students.
If you are a student with one of the underlying medical
conditions identified in the “Return to Campus Guide” and you
would like to apply for accommodations due to being at a higher
risk for severe illness with COVID-19, please contact
Counseling & Accessibility Office at 678-359-5585 or email
the Director of Counseling and Accessibility Services Alicia
Dorton at [email protected].
Making a commitment to The Healthy Highlander Way will allow our
campus to remain as safe as possible during this
semester.
Being prepared for Class during the Pandemic
Although some courses will meet in a full face-to-face format,
most classes for this term will meet online or in a hybrid
format. In addition, all classes will shift online after
Thanksgiving for the remainder of the term. All students should
be
prepared at a minimum to:
Meet an online class session synchronously (at the time of the
class or a set time with the professor)
Take a proctored exam using an outside proctor
All students should, as a minimum, have access to:
A laptop or desktop computer (5 or fewer years old). Tablets,
Chromebooks, and phones will not be sufficient.
Operating system: o Windows 10 Home or Pro (“streamlined”
versions such as Windows 10S are not supported), or o MacOS 10.13
or higher
Webcam with a working microphone (often this is
integrated/included with laptops but USB webcams can also be
utilized)
Access to a broadband Internet connection (& access to an
Ethernet cable, preferably)
Microsoft Office Suite (Word, PowerPoint, Outlook, etc.).
Download it here for free (via Gordon State College. Make sure to
create your account using your Gordon email.)
A working Internet browser that is compatible with D2L:
Microsoft® Edge, Mozilla® Firefox®, Google® Chrome™, Apple®
Safari®. Students can check their devices’ compatibility via this
checker.
mailto:[email protected]:[email protected]://www.gordonstate.edu/departments/computer-services/office-365/index.htmlhttps://www.gordonstate.edu/departments/computer-services/office-365/index.htmlhttp://www.usg.edu/usgweb/d2lchecker/
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Syllabus MATH 2008 – Foundations of Numbers and Operations 9
Other suggested features include:
Processor: minimum Intel Core i3 or equivalent
RAM/Memory: 8GB or higher
Storage: 128GB internal hard drive or larger (256+GB solid state
drives preferred, but not required)
Be aware that your individual course may have other technology
requirements.
Finally, it is highly recommended that you download the
Brightspace by D2L Pulse App for your smartphone or tablet.
Keys to Success in this class:
1. Have a goal for this class. Make this class a priority. You
can succeed in this class!
2. Be on time every day. Don’t miss class; when you must,
communicate to your instructors.
3. Review class notes just before and just after class.
4. Read the text. Study the examples. Keep up with the pace of
the class.
5. Practice, practice, and then practice some more. Do homework
as soon as possible after class.
6. Ask questions. You have the right; asking questions shows you
care and will often help others.
7. Read the directions carefully. On tests, start by “unloading”
important formulas and concepts.
8. Actively listen in class. Take good notes.
9. Use our tutoring center whenever you need help. Don’t let
things snowball.
10. Correct any mistakes you make on quizzes and tests.
11. The final exam is comprehensive. Prepare for it throughout
the semester.
12. Be a lifelong learner. Live and learn! Rise to the challenge
of college-level mathematics!
NOTE: This syllabus MAY be changed at the discretion of the
instructor with the knowledge of the class.
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Syllabus MATH 2008 – Foundations of Numbers and Operations
10
Math 2008
Tentative SCHEDULE: Spring 2021
MATH 2008-A Foundations of Number and Operations (CRN 226) MW
9:30-10:45 am Online (D2L, MML)
My Math Lab Course ID: clement98137
DATE TEXTBOOK SECTION
1/25 Introductions, 1–1
1/27 1–1
2/1 1–2
2/3 2–1
2/8 2–2
2/10 2–3
2/15 Review
2/17 TEST 1, MML Homework & Journal 1 Due
2/22 3–1, 3–2
2/24 3–2, 3–3
3/1 3–4
3/3 3–5
NOTE: R, March 18 is midterm for full-term classes (withdrawal
deadline).
Review
3/8 TEST 2, MML Homework & Journal 2 Due
3/10 4–1, 4–2
3/15 4–3
3/17 5–1, 5–2
3/22 6-1, 6-2
3/24 6-3, 6-4, Review (Number and operations 300-page report due
)
3/29 TEST 3 & MML Homework & Journal 3 Due, All Unit III
MML Homework Due
3/31 7–1, 7-2
4/5 7-2
4/7 7–3
4/12 7–4
4/14 8–1
4/19 Review
4/21 TEST 4, MML Homework & Journal 4 Due
4/26 CGI Intro, 14 Problem types
4/28 CGI Children’s solution strategies
5/3 Review
5/6 FINAL EXAMINATION (Thursday, 10:15 – 12:15)
Important Dates: Midterm: March 18 (R)
Instructor……………………………………………………………………….Dr. Geoff Clement
Office…………………………………………………………………………..Instructional Complex, Room
243
Phone…………………………………………………………………………..678-359-5820 or School office
(678-359-5468)
Office Hours………………………………………………………………….. TR 8:30-11:30, MW
11:30-12:30, Other times by
appointment
Other Tutoring………………………………………………………………... Student Success Center
(Student Center, 2nd floor,
above Bookstore), STEM Center (IC Room 319)
E-mail………………………………………………………………………… [email protected]
Website………………………………………………………………………....http://faculty.gordonstate.edu/gclement
Do your best! Rise to the challenge! Live and learn!
mailto:[email protected]://faculty.gordonstate.edu/gclement
