MATH 1351 - Mathematics for Teachers II Course Syllabus

MATH 1351:

Description
This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It includes the concepts of geometry, measurement, probability, and statistics with an emphasis on problem solving and critical thinking.

Prerequisites

Math 1314
Semester Offered
Fall
Summer 2
Credits 3 Lecture Hours 3 Lab Hours 0
Extended Hours
1
Contact Hours
64
State Approval Code
27.0101.57 19
Instructor Name
Roberta Collinsworth
Semester/Year
Fall 2024
Meeting Time and Location
Math 1351.401
Online—students are expected to spend at least 3-4 hours per week
Alternate Operations During Campus Closure

In the event of an emergency or announced campus closure due to a natural disaster or pandemic, it may be necessary for Panola College to move to altered operations. During this time, Panola College may opt to continue delivery of instruction through methods that include, but are not limited to: online learning management system (CANVAS), online conferencing, email messaging, and/or an alternate schedule. It is the responsibility of the student to monitor Panola College's website (www.panola.edu) for instructions about continuing courses remotely, CANVAS for each class for course-specific communication, and Panola College email for important general information.

Student Basic Needs

Unexpected circumstances may arise, but Panola College offers various resources to support students. If you need mental health services or are facing challenges with transportation, affording class materials and supplies, or accessing food regularly—issues that may impact your class performance—please visit panola.edu/resources.

Class Attendance

Regular and punctual attendance of classes and laboratories is required of all students. When a student has been ill or absent from class for approved extracurricular activities, he or she should be allowed, as far as possible, to make up for the missed work. If a student has not actively participated by the census date, they will be dropped by the instructor for non-attendance. This policy applies to courses that are in-person, online, hybrid, and hyflex.

Attendance in online courses is determined by submission of an assignment or participation in an activity. According to federal guidelines, simply logging into a distance learning course without participating in an academic assignment does not constitute attendance. Distance learning is defined as when a majority (more than 50%) of instruction occurs when the instructor and students are in separate physical locations. Students must engage in an academic activity prior to the course census date. 

When an instructor feels that a student has been absent to such a degree as to invalidate the learning experience, the instructor may recommend to the Vice President of Instruction that the student be withdrawn from the course. Instructors may seek to withdraw students for non-attendance after they have accumulated the following number of absences: 

Fall or spring semesters: 

3 or more class meeting times per week - 5 absences

2 class meeting times per week - 3 absences

1 class meeting per week -  2 absences

The student is responsible for seeing that he or she has been officially withdrawn from a class. A student who stops attendance in a class without officially withdrawing from that class will be given a failing grade; consequently, the student must follow official withdrawal procedures in the Admissions/Records Office.

Please note: Health Science and Cosmetology courses may require more stringent attendance policies based on their accreditation agencies. Please see the addendum and/or program handbook for further information concerning attendance.  

Pregnant/Parenting Policy

Panola College welcomes pregnant and parenting students as a part of the student body. This institution is committed to providing support and adaptations for a successful educational experience for pregnant and parenting students. Students experiencing a need for accommodations related to pregnancy or parenting will find a Pregnancy and Parenting Accommodations Request form in the Student Handbook or may request the form from the course instructor.

Artificial Intelligence (AI) Course Policy

There are situations throughout the course where you may be permitted to use artificial intelligence (AI) tools to aide in further understanding of mathematical concepts. However, AI tools may not be used for any graded assignments including but not limited to exams, quizzes, and projects. Use of any AI-generated content in this course without the instructor’s consent qualifies as academic dishonesty and violates Panola College’s standards of academic integrity.

 

Student Learning Outcomes
Critical Thinking Skills – to include creative thinking, innovation, inquiry and analysis, evaluation and syntheses of information
CT2: Gather and assess information relevant to a question

CT3: Analyze, evaluate, and synthesize information

Communication Skills – to include effective development, interpretation, and expression of ideas through written, oral, and visual communication
CS1: Develop, interpret, and express ideas through written communication

Empirical and Quantitative Skills – to include the manipulation and analysis of numerical data or observable facts resulting in informed conclusions
EQS1: Manipulate and analyze numerical data and arrive at an informed conclusion
Instructional Goals and Purposes

The purpose of this course is to demonstrate:

  1. Competence in Probability.
  2. Competence in Data Analysis and Statistics.
  3. Competence in introductory Geometry.
  4. Competence in congruence and similarity with constructions.
  5. Competence in area, Pythagorean Theorem and volume.
  6. Competence in transformations.
Learning Outcomes

After studying all materials and resources presented in the course, the student will be able to:

  1. Apply fundamental terms of geometry such as points, lines, and planes to describe two- and three-dimensional figures.
  2. Make and test conjectures about figures and geometric relationships.
  3. Use a variety of methods to identify and justify congruence and similarity of geometric objects.
  4. Perform geometric transformations.
  5. Demonstrate fundamental probability techniques and apply those techniques to solve problems.
  6. Explain the use of data collection and statistics as tools to reach reasonable conclusions.
  7. Recognize, examine, and utilize the basic principles of describing and presenting data.
  8. Perform measurement processes and explain the concept of a unit of measurement.
  9. Develop and use formulas for the perimeter, area, and volume for a variety of figures.
Course Content

A general description of lecture/discussion topics included in this course are listed in the Learning Objectives / Specific Course Objectives sections of this syllabus.

Students in all sections of this course will learn the following content:

  1. How probabilities are determined
  2. Experimental and theoretical probabilities
  3. Properties of probabilities
  4. Mutually exclusive and non-mutually exclusive events
  5. Geometric probabilities
  6. Multistage experiments
  7. Independent events
  8. Conditional probabilities
  9. Modeling games
  10. The fundamental counting principle
  11. Permutations
  12. Combinations
  13. Use of counting techniques in probability problems
  14. Designing experiments to collect data
  15. Variability in data and how it relates to the study of statistics
  16. The difference between a population and a sample
  17. Misuses of statistics based on samples and populations
  18. Categorical, numerical, and ordinal data
  19. Dot plots and steam and leaf plots
  20. Histograms and bar graphs
  21. Circle graphs
  22. Line graphs
  23. Scatterplots
  24. Measures of central tendency
  25. Measures of variation
  26. Basic undefined and defined terms in Geometry
  27. Knowledge of basic shapes in Geometry
  28. Names, classifications, and measurement of angles
  29. Types of angles
  30. Properties of parallel lines and angles associated with them
  31. Knowledge of three-dimensional properties
  32. Properties of congruent triangles
  33. Compass constructions
  34. Similar figures
  35. Linear measure
  36. Areas of polygons and circles
  37. Pythagorean Theorem, distance formula, and equation of a circle
  38. Surface areas
  39. Volume and Mass
  40. Translations, rotations, and tessellations
  41. Reflections and glide reflections
  42. Dilations

Extended Hours:

Additional content in relation to state based assessments, Grade K-8 core standards, and other mathematics education related applications. 

 

Methods of Instruction/Course Format/Delivery

Methods employed by faculty will include lecture/demonstration, discussion, problem solving, analysis have and reading assignments. Homework will be assigned. Faculty may choose from, but are not limited to have the following methods of instruction:

  1. Internet
  2. Video
  3. Television
  4. Projects
  5. Group work
  6. Field Trips
  7. Research
Course Grade
Class Participation 10% 10%
Homework/Quiz Average 15% 15%
Math Education/Projects/Research/Observations 15% 15%
Exams 40% 40%
Comprehensive Final Exam 20%

Letter Grades for the Course will be assigned as follows:

A: 90 < Average < 100

B: 80 < Average < 90

C: 70 < Average < 80

D: 60 < Average < 70

F: 00 < Average < 60

Major Assignments/Assessments

The following items are assigned and assessed during the semester and used to calculate the student's final grade.

Assignments

Faculty may assign both in and out of class activities to evaluate students' knowledge and abilities. Faculty may choose from, but are not limited to, the following methods: attendance, class preparedness, participation, collaborative learning projects, exams/tests/quizzes, homework, internet, library assignments, readings, research papers, scientific observations, student-teacher conferences, and written assignments.

The Mathematics Department does not accept late work. 

Assessments

 

Assessment(s):

  1. Homework and quizzes
  2. Exams per chapter or over combined chapters
  3. Math education assignments/Projects/Group work/Research/Observations
  4. Comprehensive Final Exam
Texts Materials, and Supplies
  • The textbook is free and is in the Canvas course. It was written and provided by Roane State Community College.
  • Canvas
  • Computer access
  • Internet / wifi connection
  • Webcam
  • Pdf scanner (smartphone apps can do this)
  • Compass, ruler, protractor
  • Required printed material

 

Other