Sep 26, 2024  
Basic Course Information Catalog 2017-2018 
    
Basic Course Information Catalog 2017-2018 [ARCHIVED CATALOG]

MAE3310 - Elementary Mathematics: Grades K-6







3 hours Lecture, 3 credit(s)

Upper-Division College Credit

Prerequisite(s): Admission to BS in Elementary Education Program

AA Elective: No

Academic Dean’s Contact Information

LAKELAND DEAN’S OFFICE: LLC 2255              PHONE: (863) 297-1024
WINTER HAVEN DEAN’S OFFICE: WSC 101      PHONE: (863) 297-1020

 

Course Description:
This course prepares teacher candidates for mathematics content applicable to K-6 Florida Standards and Mathematical Practices. With a focus on problem-solving strategies, manipulative processes, inquiry-based mathematics, number theory, and systems of operations, the teacher candidates investigate the following areas of mathematics: cardinality and counting, numbers and operations in base 10, fractional operations and representations, algebraic thinking, geometry and measurements, and proportional reasoning (including statistics and probability). Practical application includes creating and teaching mini-lessons using mathematics content



Polk State College Mission and Program Outcomes

Polk State College, a quality driven institution, transforms lives through the power of education by providing access to affordable associate and baccalaureate degrees, career certificates and workforce employment programs, delivered by diverse, qualified faculty and staff. In line with this purpose, Polk State’s Associate in Science and baccalaureate degree programs develop competence in career areas. This course focuses on the development of competencies related to the following program outcomes:

 

  • Demonstration of Florida Educator Accomplished Practices (FEAPs)
  • Demonstration of Competencies and Skills for Teacher Certification (C&S: K-6)

Course Objectives:
Florida Educator Accomplished Practices (FEAPs)

Upon successful completion of this course, teacher candidates consistently:

5.A       Design purposeful professional goals to strengthen the effectiveness of instruction based on students’ needs.

5.E       Engage in targeted professional growth opportunities and reflective practices, both independently and in collaboration with colleagues.

5.F       Implement information and skills learned in professional development in the teaching and learning process.

 

Competencies and Skills for Teacher Certification (C&S K-6)

Competency 2: Knowledge of Operations, Algebraic Thinking, Counting, and Numbers in Base Ten

Upon successful completion of this course, teacher candidates are able to:

2.1   Interpret and extend multiple representations of patterns and functional relationships by using tables, graphs, equations, expressions, and verbal descriptions.

2.2   Select the representation of an algebraic expression, equation, or inequality that models a real-world situation.

2.3   Analyze and apply the properties of equality and operations in the context of interpreting solutions.

2.4   Determine whether two algebraic expressions are equivalent by applying properties of operations or equality.

2.5   Evaluate expressions with parentheses, brackets, and braces.

2.6   Analyze and apply strategies (e.g., models, estimation, reasonableness) to solve multistep word problems.

2.7   Apply number theory concepts (e.g., primes, composites, multiples, factors, parity, rules of divisibility).

2.8   Identify strategies (e.g., compensation, combining tens and ones) based on place value to perform multi-digit arithmetic.

 

Competency 3: Knowledge of Fractions, Ratios, and Integers

Upon successful completion of this course, teacher candidates are able to:

3.1   Compare fractions, integers, and integers with integer exponents and place them on a number line.

3.2   Convert among standard measurement units within and between measurement systems (e.g., metric, U.S. customary) in the context of multistep, real-world problems.

3.3   Solve problems involving addition, subtraction, multiplication, and division of fractions, including mixing whole numbers and fractions, decimals, and percents by using visual models and equations to represent the problems and their solutions.

3.4   Select the representation (e.g., linear, area, set model) that best represents the problem and solution, given a word problem or equation involving fractions. 

3.5   Solve real-world problems involving ratios and proportions.

 

Competency 4: Knowledge of Measurement, Data Analysis, and Statistics

Upon successful completion of this course, teacher candidates are able to:

4.1   Calculate and interpret statistics of variability (e.g., range, mean, absolute deviation) and central tendency (e.g., mean, median).

4.2   Analyze and interpret data through the use of frequency tables and graphs.

4.3   Select appropriate measurement units to solve problems involving estimates and measurements.

4.4   Evaluate the choice of measures of center and variability, with respect to the shape of the data distribution and the context in which the data were gathered.

4.5   Solve problems involving distance, time, liquid volume, mass, and money, which may include units expressed as fractions or decimals.

 

Competency 5: Knowledge of Geometric Concepts

Upon successful completion of this course, teacher candidates are able to:

5.1   Apply geometric properties and relationships to solve problems involving perimeter, area, surface area, and volume.

5.2   Identify and locate ordered pairs in all four quadrants of a rectangular coordinate system.

5.3   Identify and analyze properties of three-dimensional shapes using formal mathematical terms such as volume, faces, edges, and vertices.

 IV.5.4   Classify two-dimensional figures in a hierarchy based on mathematical properties.

 

Additional course outcomes:

Upon successful completion of this course, teacher candidates are able to:

  1. Demonstrate a sound knowledge base of elementary mathematics topics as represented by Florida Standards and required for Florida teacher certification for K-6 education.
  2. Apply content to classroom environments through the planning and presentation of mini-lessons related to Florida Standards for various grade-level bands. (K-2, 3-4, 5-6)
  3. Utilize various problem-solving strategies in mastering mathematical practices.

 

Course Content:
The content is aligned with Florida Standards for Elementary Learners in Grades K-6. Topics include:

  1. LEGO education for elementary learners
  2. Activities for problem solving for each strand
  3. Manipulative processes
  4. Number theory and practical applications
  5. Numbers and operations
  6. Fractions in the real world
  7. Algebraic thinking and problem solving
  8.  Measurement and proportional reasoning
  9.  Geometric processes and applications
  10.  Data gathering in the elementary classroom
  11.  Probability and statistics for upper grades
  12.  Math practices throughout the content

 

 

Textbook and Other Requirements

Textbook information is provided in the course syllabus, at the campus bookstore, on the campus bookstore website (www.polk.bncollege.com), or via the “Shop Textbook” button on the PASSPORT schedule of classes.

 

The Gordon Rule

This is not a Gordon Rule course.

 

Student Help

The professor is available for help during posted hours and by appointment during other non-class hours. Students are encouraged to seek assistance from the professor. To further the educational process, the campus Learning Resources Centers, comprised of the Teaching/Learning and Computing Center (TLCC) JDA Student Success Center, and library, are available for student use. Each resource provides qualified staff and up-to-date equipment and facilities to promote students’ academic success. The TLCCs and JDA Student Success Center provide tutoring services, computing resources, and other instructional support. The library provides information resources, individual and group study space, research assistance, information literacy instruction, and computing resources. Each facility provides free wireless access to the Internet. Polk State College Library, Student Success Center, and TLCC hours of operation and tutoring schedules are posted at each facility and on the College website.

 

Withdrawing From a Course

Students may officially withdraw from course(s) during any given term, provided they follow the appropriate policy and procedure. Following the conclusion of the Drop/Add Period, a student may officially withdraw without academic penalty from any credit course, provided he or she has submitted the appropriate forms to the Student Services Office no later than the published deadline. The published deadline reflects approximately (but no more than) 70% of the term, based upon the course’s scheduled duration. It is the student’s responsibility to submit these withdrawal forms; failure to do so may result in a grade of F in the course. Under the Forgiveness Policy, a student is allowed only three attempts in any one course: one initial enrollment and two repeats. A student is not allowed to withdraw from a third course attempt. Limited admission programs may have specific guidelines regarding course withdrawal that vary from this policy. Individuals should refer to the student handbook for that program for more information. If a student stops attending class, the grade earned, usually an F, is assigned and posted. Prior to withdrawing from a course, the student should consult with the Financial Aid Office to determine what impact, if any, withdrawal from the course will have on his or her financial aid status. A student cannot use course withdrawal to avoid academic dishonesty penalties. A student who has been penalized for academic dishonesty in a course is not eligible to withdraw from the course.

 

Repeating a Course

Under the Forgiveness Policy, a student is allowed only three attempts in any one college credit course: one initial enrollment and two repeats. Under certain circumstances, a student may petition to repeat a credit course beyond the three attempts. Limited admission programs may have specific guidelines regarding repeating a course that vary from this policy. Individuals should refer to the student handbook for that program for more information. The student should be aware that repeating a course may result in a higher course cost. A course cannot be repeated unless the previously earned grade is a D, F, or W (the Polk State College Catalog provides further details regarding this process). Prior to repeating a course, the student should consult with the Financial Aid Office to determine what impact, if any, repeating the course will have on his or her financial aid status.

 

Academic Dishonesty

Each student is responsible for his or her work. It is assumed that each student is honest and will abide by this standard; however, in the event that there is an indication or suspicion of cheating/plagiarism, the situation shall be dealt with in accordance with the published College policy. Copies of this policy are available in the Student Services Office. Students should also refer to the course syllabus for more specific information.

 

Information Technology Access/Use Policy

All individuals who employ the information technology resources provided by Polk State College (this includes, but is not limited to, telephones, computers, the Polk State College Local Area and Wide Area Networks, and the Internet) must use these resources for academic purposes only. Use of these resources is a privilege, not a right. Inappropriate use can result in revocation or suspension of this privilege.

 

Equal Access/Opportunity

Polk State College is an equal access/equal opportunity institution committed to excellence through diversity in education and employment. The College complies with all state and federal laws granting rights to students, employees, and applicants for employment or admission to the College. Polk State College does not discriminate on the basis of race, color, national origin, ethnicity, sex, age, religion, sexual orientation, marital status, veteran status, genetic information, disability, or pregnancy in its programs, activities, or employment.

The following person has been designated to handle inquiries regarding the non-discrimination policies:
Valparisa Baker
Director, Equity & Diversity (Title IX Coordinator)
999 Avenue H NE
Winter Haven, FL 33881-4299
Office: WAD 227, 863.292.3602 Ext. 5378, vbaker@polk.edu.

 

Equal Opportunity For Students With Disabilities

The College complies with The Americans with Disabilities Act and provides equal educational opportunity for qualified individuals. A student with a disability who requires special accommodations or auxiliary aids under The Americans with Disabilities Act (ADA) should contact the Student Services Office on either campus and speak with a Disability Services Advisor or the Coordinator of Disability Services. Note: Limited admission programs may have performance restrictions that apply. Restrictions (where applicable) are outlined in each program’s student handbook.

 


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