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Columbia College
Evening Campus
1001 Rogers Street
Columbia, MO 65216
(800) 231-2391


16 / 35 - Early Summer Session
May - June 2017

Course Syllabus

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Course Syllabus
16 / 35 - Early Summer Session
May - June 2017
Evening Campus
1001 Rogers Street
Columbia, MO 65216
(800) 231-2391

Course Prefix and Number: MATH 102 A
Course Title: *Teaching and Learning Elementary Mathematics from an Advanced Perspective
Semester Credit Hours: 3
Class Day and Time: Mon 
5:30 PM-8:30 PM
Additional Notes:

This is a virtual hybrid course which will meet weekly through Blackboard Collaborate (virtually) and online instruction through D2L using various resources, discussion and homework. The instructor will email instructions on how to access Blackboard Collaborate the week prior to the start  of class.  

**NOTE: There will be no class on May 29, 2017 due to Memorial Day. Make up for this class is scheduled for June 2, 2017.


Catalog Description

This course is designed to help preservice elementary school teachers develop a conceptual framework for mathematics, especially for those aspects normally experienced in elementary school. Through their work in the course the students study the main themes of mathematics throughout the curriculum, considering both mathematical and pedagogical content issues in teaching mathematics. Topics include sets, logic, informal geometry, numeration systems, properties of real numbers and an introduction to probability and statistics. Cross-listed as  EDUC 102 . Prerequisite: Grade of C or higher in MATH 104 , or higher MATH course; or a score of 19 or above on the math portion of the ACT; or 460 or above SAT score; or a passing score on the Columbia College math placement exam.


Grade of C or higher in MATH 104 , or higher MATH course; or a score of 19 or above on the math portion of the ACT; or 460 or above SAT score; or a passing score on the Columbia College math placement exam.


Mathematics for Elementary Teachers: A Conceptual Approach 10 th edition
Author: Bennett and Nelson (McGraw-Hill)
ISBN: 9780078035654

Course Learning Outcomes

  1. Explain the concepts of whole numbers, integers, fractions, real numbers, ratio, proportion and percent.
  2. Demonstrate the usual and some alternative algorithms for operations on whole numbers, fractions, decimals, integers and real numbers.
  3. Justify and use estimation procedures.
  4. Illustrate the relations of equality and inequality with whole numbers, integers, rational numbers and real numbers.
  5. Apply basic number theory concepts to problem situations.
  6. Organize and interpret data.
  7. Calculate measures of central tendency and dispersion.
  8. Solve problems involving probability.
  9. Apply basic counting techniques to problem situations.
  10. Identify and analyze 2- and 3-dimensional geometric figures.
  11. Calculate 2- and 3-dimensional measurements of geometric figures.
  12. Measure in the metric and customary units.
  13. Demonstrate knowledge of the skills required for problem solving.
  14. Use a variety of manipulatives to develop number and concepts, geometric concepts, spatial relationships and probability.
  15. Use technology (calculator and computer) as a learning and teaching tool for mathematics.
  16. Demonstrates knowledge of the academic language of the appropriate discipline applicable to the certification area(s) sought as defined by the Subject Competencies for Beginning Teachers in Missouri. (1.1)
  17. Demonstrates content knowledge and ability to use multiple subject specific methodologies for specific instructional purposes to engage students. (1.2)
  18. Demonstrates understanding of how to engage students in the methods of inquiry and research in his or her respective discipline. (1.3)
  19. Understands how to select appropriate strategies for addressing individual student needs in meeting curriculum objectives. (3.2)
  20. Demonstrates knowledge of current instructional resources to support complex thinking and technological skills. (4.2)
  21. Develops skills in using a variety of technology media communication tools. (6.4)

Additional Instructor Objectives

Topical Outline:

  • Problem Solving
  • Sets
  • Whole Numbers
  • Number Theory
  • Integers
  • Fractions
  • Decimals
  • Rational Numbers
  • Statistics
  • Probability
  • Geometric Figures
  • Measurement
  • Motions in Geometry

Special Course Requirements

Graphing Utilities:  You must have a graphing calculator for this course.  The preferred calculator for this course is the TI-84, but a TI-83 will work as well. Graphing calculators will be allowed on quizzes and exams. You will not be allowed to share calculators during exams and quizzes.


Other options that can be used on the exams and quizzes but WILL NOT BE addressed during instruction:

  • Other non-CAS (Computer Algebra Systems) TI (Texas Instruments)
  • Other brands of non-CAS (i.e. CASIO, HP, etc)

Other options that can be used while doing homework BUT NOT ON THE EXAMS AND QUIZZES:

  • Spreadsheet programs (such as Microsoft Excel)
  • www.Desmos.Com  (I love this program)
  •  (This one is awesome too)
  • Graphing apps for your phone or ipads or tablets

Technology Requirements

  • 256 MB of free RAM

  • 20 MB free disk space

  • 28.8 kbps Internet connection

  • Speaker and Microphone, headsets are preferred

  • Web Camera

Instructional Methods

The instructional methods will include lecture, small group work, and individual exploration.  We will have the opportunity to explore mathematics through the use of technology such as scientific and/or graphing calculators, as well as various computer software.

Out of Class Activities

Homework:  A set of recommended homework problems will be given in each class period.  It is essential that you try them all.  There may be times throughout the course that the instructor will collect homework problems, in these cases, you will be informed ahead of time.  Math is not a spectator sport.  You cannot learn mathematics without trying problems on your own.  Homework problems can be a great way to determine your understanding.  They can also help you determine areas of difficulty.  Homework problems are chosen to represent the concepts to be mastered in the course.  Thus, most exams and quizzes will contain problems that closely model homework problems.

Graded Activities

Quizzes10 @ 15 points each = 150 Points
Description -

There will be 10 quizzes throughout the session each worth 15 points.  Students must use a pencil on quizzes. Students will be allowed to use graphing calculators for all quizzes.  However, students are not allowed to share calculators.

Exams2 @ 150 each = 300 Points
Description -

There will be a midterm and a final.  These exams are each worth 150 points.  The tentative schedule provides approximate dates for these exams.  Students must use a pencil on exams. Students will be allowed to use graphing calculators for all exams.  However, students are not allowed to share calculators. There will be a midterm and a final.  These exams are each worth 150 points.  The tentative schedule provides approximate dates for these exams.  Students must use a pencil on exams. Students will be allowed to use graphing calculators for all exams.  However, students are not allowed to share calculators.

Survey Project150 Points
Description -

Students will work in pairs to write a survey, distribute their survey to at least 50 people.  They will analyze and report on the results of their surveys.  More information about this project will be distributed at a later date.


Grading Scale

90%-100% A
80%-89% B
70%-79% C
60%-69% D
0-59% F

Additional Information / Instructions

MATH 102  has 600 points total.

Note on missing or not taking an exam: There are no makeup examinations for the first two exams. If you miss any one of the first two examinations, it will result in a lost of 150 points per exam missed. The only exception is for unexpected emergencies. These unexpected emergencies need to be brought to my attention as soon as humanly possible. I reserve the right to determine if your excuse is a true emergency or not. If you can verify the emergency and I do agree that you had a true emergency, then I will obtain your missed test score from the final exam.

This is a preliminary schedule only. The instructor reserves the right to revise the course syllabus and/or tentative schedule as required by either judgment or circumstance. Changes will be announced in class and students are responsible for recording changes as announced.

Schedule of Activities and Assignments

Week 1
Introduction to the Course
  • Introduction
  • Syllabus
  • Introduction to Problem Solving
  • Patterns and Problem Solving
  • Problem Solving with Algebra
  • Survey Project

Read Sections 1.1, 1.2. and 1.3

  • Homework over Sections
  • Quiz #1
Week 2
Sets and Venn Diagrams
  • Sets and Venn Diagrams
  • Numerations Systems
  • Read Sections 2.1 and 3.1
  • Homework over Sections
  • Quiz #2
Week 3
Factors and Multiples
  • Addition and Subtraction
  • Multiplication and Division
  • Factors and Multiples
  • Survey Project
  • Read Sections 3.2, 3.3 and 4.1
  • Homework over Sections
  • Quiz #3
  • Quiz #4
Week 4
Greatest Common Divisor and Least Common Multiple
  • Greatest Common Divisor and Least Common Multiple
  • Review for Midterm (Chapters 1 - 4)
  • Read Section 4.2
  • Homework over Sections
  • Quiz #5
  • Midterm
Week 5
  • Integers
  • Introduction to Fractions
  • Operations with Fractions
  • Survey Project
  • Read Sections 5.1, 5.2 and 5.3
  • Homework over Sections
  • Quiz #6
Week 6
  • Decimals and Rational Numbers
  • Operations with Decimals
  • Ratio and Percent
  • Read Sections 6.1, 6.2 and 6.3
  • Homework over Sections
  • Quiz #7
Week 7
Collecting Data
  • Collecting and Graphing Data
  • Describing and Analyzing Data
  • Polygons and Tessellations
  • Single-Stage Experiments
  • Multistage Experiments
  • Survey Project
  • Read Sections 7.1, 7.2, 8.1 and 8.2
  • Homework over Sections
  • Quiz #8
  • Quiz #9
Week 8
Wrapping it Up
  • Plane Figures
  • Polygons and Tessellations
  • Space Figures
  • Systems Management
  • Area and Perimeter
  • Share Project Surveys
  • Review for Final
  •  Read Sections 9.1, 9.2, 9.3, 10.1 and 10.2
  • Survey Project
  • Quiz # 10
  • Final Exam (Chapters 5 - 10)

Library Resources

Columbia College Resources - Online databases are available at the Columbia College Stafford Library.  You may access them using your CougarTrack login and password when prompted.

Course Policies and Procedures


Columbia College Policy - Columbia College students are expected to attend all classes and laboratory periods for which they are enrolled.  Students are directly responsible to instructors for class attendance and work missed during an absence for any cause.  If absences jeopardize progress in a course, an instructor may withdraw a student from the course with a grade of "F" or "W" at the discretion of the instructor.  For additional information, see the Columbia College policy on Student Attendance.

Instructor Policy -

  1. Attendance and Participation: Students are expected to come to class, and therefore a loss of points for unexcused or excessive absences will occur. It is impossible to ever duplicate the time spent in class, and the professor cannot use class time to try to “catch-up” those students who were absent. If you must miss class, it is your responsibility to obtain notes from a fellow student. Do not ask the instructor to provide this for you. Note that any assignments that are not turned in because you are absent will be counted as late. To avoid the late penalty, assignments may be submitted via Dropbox prior to the start of class time. Additionally, when you are late to class, it will be your responsibility to insure that you have been marked present by the professor. Students expecting a superior grade must demonstrate superior attendance. A grade of “A” will not be issued for any student missing more than one class session. The instructor reserves the right to issue a grade of F, U, W, or I for any student who, for any reason, misses three or more classes or more than one hour of field experience. Finally, students must come to class prepared with a notebook and pen or pencil to take notes, and any assignments that are due. Also be prepared to ask questions and participate in class discussion. Borderline grades will be influenced by class participation.

  2. Late Assignments: If the student have justifiable cause for missing student will have 1 day from due date to makeup assignment with a -10% deduction from the maximum possible score. If turned in later than 1 day will receive a 0.

  3. In Class Work: (Weekly Assignments, Class Activities, Discussions, and Group Activities) No Makeup.

Academic Integrity

Columbia College Policy - Columbia College students must fulfill their academic obligations through honest, independent effort.  Dishonesty is considered a serious offense subject to strong disciplinary actions.  Activities which constitute academic dishonesty include plagiarism, unauthorized joint effort on exams or assignments, falsification of forms or records, providing false or misleading information, or aiding another in an act of academic dishonesty.  For more information, see the Columbia College Academic Integrity Policy and Procedures.

Instructor Policy -

  1. All work must be original and represent the thinking and understanding of the student. Sources must be credited for the ideas, content and quotations used in the development of the assignment and must be cited using APA format.

  2. Plagiarism will not be tolerated. Those found plagiarizing will be dropped from the course and receive an F.

Class Conduct and Personal Conduct

Columbia College Policy - Students must conduct themselves so others will not be distracted from the pursuit of learning.  Students may be disciplined for any conduct which constitutes a hazard to the health, safety, or well-being of members of the College community or which is deemed detrimental to the College's interests. Discourteous or unseemly conduct may result in a student being asked to leave the classroom.  For more information, see the Columbia College Student Code of Conduct and Student Behavioral Misconduct Policy and Procedures.

Cancelled Class Make-Up

Columbia College Policy - Classes cancelled because of inclement weather or other reasons must be rescheduled.  For more information, see the Columbia College Inclement Weather Policy.

Make-Up Examinations

Columbia College Policy - Make-up examinations may be authorized for students who miss regularly scheduled examinations due to circumstances beyond their control.  Make-up examinations must be administered as soon as possible after the regularly scheduled examination period and must be administered in a controlled environment.

Campus Policy - Make up examinations are scheduled on designated Saturday mornings 9am in 103 Buchanan. Students must present a picture I.D. in order to be admitted to the testing session. Students must arrange with the instructor to take the exam before or after it is given in class and permission to take a makeup examination (or any graded activity) is granted at the discretion of the instructor.

Instructor Policy -

  1. Midterm and Final Exams: If the student has justifiable cause for missing, student will have 1 day from the due date to makeup the Exam with a 10% deduction from the maximum possible score. If turned in later than 1 day will receive a 0.

Adding, Dropping, or Withdrawing from a Course

Columbia College Policy - Students may add a course through Wednesday of the first week of the session and drop a course without academic or financial liability through close of business on Monday of the second week of the session.  Once enrolled, a student is considered a member of that class until he or she officially drops or withdraws in accordance with College policy.  An official drop/withdrawal takes place only when a student has submitted a Drop/Add/Withdrawal form.  A failure to attend class, or advising a fellow student, staff or adjunct faculty member of an intent to withdraw from a class does not constitute official drop/withdrawal.  The drop/add/withdrawal periods begin the same day/date the session starts, not the first day a particular class begins. If a student stops attending a class but does not submit the required Drop/Withdrawal form a grade of "F" will be awarded.  For more information, see the Columbia College Registration Policy and Procedures.

Withdrawal Excused

Columbia College Policy - A student may request an excused withdrawal (WE) under extraordinary circumstances by submitting a Drop/Withdrawal form accompanied by a complete explanation of the circumstances and supporting documentation to the location director.  The WE request must include all classes in which the student is currently enrolled.  The Vice President for Adult Higher Education is the approving authority for all WE requests.  A student who receives approval of their WE request may still be required to return some or all of the federal financial assistance received for the session.  For more information, see the Columbia College Withdrawal Policy.


Columbia College Policy - A student may request that the instructor award a grade of "I" due to extraordinary circumstances (unforeseen or unexpected circumstances beyond the student's control) that prevent a student from completing the requirements of a course by the end of a session.  An "I" will not be given because a student is failing, negligent or not meeting requirements.  If the instructor believes an "I" is appropriate, the instructor will specify the work needed to complete the course and the time allowed to complete the work.  Work missed must be made up within two subsequent sessions unless the instructor specifies an earlier date.  Extensions beyond two sessions must be approved by the Vice President for Adult Higher Education.  If the work is completed during the specified time period, the instructor will change the "I" to the grade earned.  If the work is not completed during the specified time, the instructor may allow the incomplete to remain on the student's permanent record or change it to any other letter grade.  For more information, see the Columbia College Undergraduate Grading Policy.

Grade Appeal

Columbia College Policy - A student may appeal any grade given if it is believed to be in error or in conflict with Columbia College policy and procedures.  The student must state in writing to the location director why the grade awarded is believed to be in error and request a desired remedy.  The faculty member who awarded the grade will be given the opportunity to comment on all student allegations.  If the issue cannot be resolved at the location the appeal will be transmitted through the location director to the Vice President for Adult Higher Education.  A grade appeal must be received for review by the Vice President for Adult Higher Education prior to the end of 60 days from the date the grade was awarded.  For more information, see the Columbia College Undergraduate Grading Policy.


Columbia College Policy - Course prerequisites are established to ensure that a student has adequate academic preparation to succeed in a particular course.  Staff members will attempt to ensure that students meet prerequisite requirements.  However, it is the student's responsibility to closely examine the course descriptions to determine if prerequisites exist and to enroll in courses in the proper sequence.  In some exceptional cases it may be apparent that the student possesses the required skills and knowledge to succeed in a particular course, even though they have not taken the prerequisite course.  In this case the prerequisite course may be waived by the location director.  Waiver of a course as a prerequisite does not remove the requirement to complete the course if it is a requirement for the student's degree program.


Columbia College Policy - The College provides all students access to CougarMail (the official means of e-mail communication for the College), online resources from the Stafford Library, and their Columbia College records (transcripts, grades, student schedules, etc.) through CougarTrack.

Instructor Policy - Student should check D2L Announcements and Cougar email each week for messages from the instructor.


Columbia College Policy - The official student email address (also known as CougarMail) will be used for all official correspondence from faculty and staff.  Students are responsible for the information received and are required to monitor their CougarMail account on a regular basis.  Students may forward their CougarMail to another email account but will be held responsible for the information sent over CougarMail, even if there is a problem with the alternate mail service.

Instructor Policy - Cougar email will be the official email address for students in this class. Instructor will reply to messages and emails. If student does not receive a reply, the message or email was not received.

Cell Phones

Columbia College Policy - Cell phones can be a distraction to the learning process.  Location directors or course instructors may require that cell phones be turned off or set to vibrate during class periods.  Students requiring special arrangements to receive a cell phone call during class should make prior arrangements with their location director or course instructor.

Instructor Policy - Cell phones should be put on silent in class.

Bookstore Information

Columbia College Policy - As part of Truition, students will receive their course materials automatically as described below. 

eText Information

If a course uses an eText, (see Textbook information above) the book will be available directly in Desire2Learn (D2L) and through the VitalSource eText reader the Friday before the session begins, if registered for courses prior to that date.  Students will have a VitalSource account created for them using their CougarMail email address.  Upon first login to VitalSource, students may need to verify their account and update their VitalSource password.  More information about how to use the VitalSource platform, including offline access to eTexts, can be found in D2L.  Students that would like to order an optional loose-leaf print-on-demand copy of eligible eTexts can do so through the VitalSource Bookshelf at an additional cost.  Once orders are placed, it can take approximately five to seven business days for students to receive their print-on-demand books.

Physical Course Materials Information

Students enrolled in courses that require physical materials will receive these materials automatically at the address on file with Columbia College.  Delivery date of physical materials is dependent on registration date and shipping location.  Please refer to confirmation emails sent from Ed Map for more details on shipping status.

Returns:  Students who drop a course with physical course materials will be responsible for returning those items to Ed Map within 30 days of receipt of the order.  More specific information on how to do so will be included in the package received from Ed Map.  See here for Ed Map's return policy.  Failure to return physical items from a dropped course will result in a charge to the student account for all unreturned items.

Students who opt-out of having their books provided as part of TruitionSM are responsible for purchasing their own course materials.  Visit for details.


Columbia College Policy - The Family Educational Rights and Privacy Act (FERPA) affords students certain rights with respect to their education records.  For more information, see the Columbia College Family Education Rights and Privacy Policy.

Student Accessibility Resources

Columbia College Policy - Students with documented disabilities who may need academic services for this course are required to register with the office of Student Accessibility Resources.  Until the student has been cleared through this office, accommodations do not have to be granted.  If you are a student who has a documented disability, it is important for you to read the entire syllabus as soon as possible.  The structure or the content of the course may make an accommodation not feasible.  Student Accessibility Resources is located in Student Affairs in AHSC 215 and can be reached by phone at (573) 875-7626.  For more information, see the Columbia College ADA and Section 504 Policy for Students.

Instructor Policy - Students needing accomodations must work with the office of ADA to get the accomodations approved and in place for the class.

Alcohol and Other Drugs: Columbia College Policies & Resources

Columbia College Policy - Columbia College recognizes the negative health effects associated with the use, possession, and distribution of controlled and/or illicit substances, and their detrimental impact on the quality of the educational environment.  Therefore, all members of the College community share in the responsibility of protecting the campus environment by exemplifying high standards of professional and personal conduct.  For more information and resources, see the Columbia College Alcohol and Other Drugs Policy.

Tobacco-Free Policy

Columbia College Policy - The following policy goes into effect on August 21, 2017.  Columbia College values and is concerned for the health and well-being of its students, employees and visitors. The College is committed to providing a healthful and productive educational and employment environment for members of the College community. Consistent with this commitment and in the interest of the general health and welfare of the College community, the College prohibits the use of all tobacco products and related devices on all College property and premises.  For more information, see the Columbia College Tobacco-Free Policy.


Columbia College Policy - Discrimination, harassment, and retaliation on the basis of protected status (see Notice of Non-Discrimination and Equal Opportunity for a definition of "protected status") are strictly prohibited. Persons who engage in such conduct are subject to discipline up to and including termination or dismissal.  For more information, see the Columbia College Non-Discrimination and Equal Opportunity Policy and Complaint Resolution Procedure.

Columbia College Policy Library

Columbia College Policy - The policies set forth in the Online Policy Library are the current official versions of College policies and supersede and replace any other existing or conflicting policies covering the same subject matter.  The Online Policy Library is currently under construction with new policies being added on a frequent basis and the policies currently listed are not comprehensive of every College policy.  Questions regarding the Online Policy Library should be directed to the Office of the General Counsel.  For more information on policies applicable to students, see Student Policies.  For more information on policies applicable to the entire Columbia College community, see College-Wide Policies.

Technical Support

Columbia College Policy - If you have problems accessing the course or posting your assignments, contact your instructor, the Columbia College Technology Solutions Center, or the D2L Helpdesk for assistance.  If you have technical problems with the VitalSource eText reader, please contact VitalSource.  Contact information is also available within the online course environment.

        - Columbia College Technology Solutions Center:, 1-800-231-2391 ext. 4357

        - D2L Helpdesk:, 1-877-325-7778

        - VitalSource:, 1-855-200-4146


Course Evaluations - All students are encouraged to complete the online course evaluations. Students are notified by way of CougarMail when the evaluations are available. The evaluations are used to help instructors improve their teaching techniques. They are reviewed carefully by the Evening Campus Director, Assistant Director, and several AHE Administrators. Student should know that all responses are completely confidential, instructors only view results after grades are posted. Your input is valued and appreciated.

Late graded assignment/activity policy - All graded assignments or activities are due when stated in the syllabus or by the instructor. Graded assignments or activities submitted after the stated due date/time will not receive any credit unless the instructor has specifically stated that full or partial credit may be awarded to late submissions.


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