2004.36 - MATH 112 Math for Elementary Teachers II (addition)

Curriculum proposal number___2004.36_____________
Curriculum Action Request (CAR) (Form 4-93) - Maui Community College
1. Author(s)___Kate Acks_____________________________________________________
2. Authors’ unit(s) _____STEM__________________________
3. Date submitted to Curriculum Committee_____Nov 1, 2004_________________
4. a. General type of action?
b. Specific type of action
__other (specify)
__other (specify)
5. Reason for this curriculum action: to articulate with UH Manoa and system-wide agreement
6. Existing course
_ _____________________________________________________________________________
alpha number
7. Proposed new/modified course
MATH 112
Math for Elementary Teachers II
alpha number
8. New course description or page number in catalog of present course description, if unchanged.
Demonstrates operations and develops the properties of the natural numbers, integers, rational
numbers, and real numbers. Explores the use of mathematical
operations to solve problems including geometry, probability, and
physical rates.
9. Prerequisite(s) MATH 111 with at least a C.
10. Corequisite(s)
11. Recommended preparation: _________________________
12. Is this course cross-listed?
If yes, list course
13. Student contact hours per week
lecture 3__hours
other___hours, explain
14. Revise current MCC General Catalog page(s)__115_________________________
15. Course grading
___letter grade only
___credit/no credit
16. Proposed semester and year of first offering?
17. Maximum enrollment__35___
Rationale, if applicable
18. Special scheduling considerations?
If yes, explain.
19. Special fees required?
If yes, explain.
20. Will this request require special resources (personnel, supplies, etc.?)
If yes, explain.
21. Is this course restricted to particular room type?
If yes, explain.
_x_Course fulfills requirement for AA_________________________ program/degree
__Course is an elective for __________________________________ program/degree
_x Course is elective for AA degree
23. This course
_x_makes no change in number of credit required
for the program(s) affected by this action
24. Is this course taught at another UH campus? _x_yes __no
a. If yes, specify campus, course, alpha and number : UHManoa, MATH 112
b. If no, explain why this course is offered at MCC
25. a. Course is articulated at
__UHCC __UH Manoa __UH Hilo __UH WO __Other/PCC
b. Course is appropriate for articulation at
_x_UHCC _x_UH Manoa __UH Hilo _x_UH WO __Other/PCC
c. Course is not appropriate for articulation at
__UHCC __UH Manoa __UH Hilo __UH WO __Other/PCC
d. Course articulation information is attached? _x_yes __no
Proposed by
Kate Acks
Author or Program Coordinator/Date
Requested by
Kate Acks
Division or Unit Chair/Date
Approved by
Academic Senate Chair/Date
Chief Academic Officer/Date
Recommended by
Curriculum Chair/Date
Revised July 2004/AC
Maui Community College
Course Outline
1. Alpha and Number
MATH 112
Course Title
Math for Elementary Teachers II
Date of Outline
October 2004 (Revised April 2005)
Course Description
Demonstrates operations and develops the properties of the natural
numbers, integers, rational numbers, and real numbers. Explores the
use of mathematical operations to solve problems including
geometry, probability, and physical rates.
3. Contact Hours/Type 3 hours lecture per week
4. Prerequisites
MATH 111 with at least a C.
Approved by _____________________________________ Date________________
5. General Course Objectives
For detailed information on how MATH 112 focuses on the Maui Community College general
education standards, see the attached curricular grid.
MATH 112 fulfills three of the 3 credits for the Quantitative Reasoning Requirement for A.A.
and A.S. degrees at Maui Community College. This course fulfills the requirements for the
University of Hawai’i at Manoa General Education, Symbolic Reasoning Foundation
This course meets the following University of Hawaii Manoa Symbolic Reasoning Hallmarks
(By System agreement, this course is designed to satisfy the following Foundations Symbolic
Reasoning criteria for the University of Manoa)
 Expose students to the beauty, power, clarity and precision of formal systems
Help students understand the concept of proof as a chain of inferences
Teach students how to apply formal rules or algorithms
Require students to use appropriate symbolic techniques in the context of problem solving, and
in the presentation and critical evaluation of evidence
Not focus solely on computational skills
Build a bridge from theory to practice and show students how to traverse this bridge
This course in conjunction with MATH 111 is designed to satisfy the prerequisite for the
College of Education.
6. Specific Course Objectives, Competencies, and Student Learning Outcomes
For assessment purposes, these are linked to #7. Recommended Course Content.
On successful completion of this course, students will be able to
a. communicate about arithmetic operations using set theory and counting;
b. explain the relationship between adding and subtracting; and between multiplication and
c. represent operations of addition and multiplication using translations along a line and
composition of translations;
d. interpret new functions created by magnification and reflection;
e. discuss primes and their relation to composite numbers;
f. interpret a rational as a ratio when connected to probabilities or various rates including
speed and averages;
g. use dimensional analysis to help solve a problem;
h. explain an irrational number and the significance of specific irrational numbers such as pi;
i. interpret the geometry of the real number line from studying translations, reflections and
dilations of the real number line;
j. connect the arithmetic operations with the composition of translations and dilations in
distance between points
7. Recommended Course Content and Approximate Time Spent on Each Topic
Linked to #6 Student Learning Outcomes.
5-6 Weeks
Operations and development of numbers (a,b,c)
9-10 Weeks
Solve geometry, probability and physical rate problems (d,e,f,g,h,i,j)
8. Text and Materials, Reference Materials, Auxiliary Materials and Content
Appropriate text(s) and materials will be chosen at the time the course is offered.
By University of Hawaii System-wide agreement on September 18, 2004, campuses agreed
to use materials created by Joel Weiner with support of Neil Pateman, Instructor for ITE
324, 325 (Elementary Mathematics I, II) College of Education. MCC supports this
agreement to facilitate system-wide articulation of MATH 112. Additional materials such as
Thomas Sonnabend Mathematics for Teachers will be used for reference materials.
Internet searches
9. Recommended Course Requirements and Evaluation
Specific course requirements are at the discretion of the instructor at the time the course is
being offered.
Written – in-class exams
5%- 25%
Out of class work (including take home exams and homework)
In-class exercises and group work
Written reflective papers
10. Methods of Instruction
Instructional methods will vary considerably with instructors. Specific methods will be at
the discretion of the instructor teaching the course and the method by which the course is
taught. These might include but are not limited to
exams and papers with feedback and discussion
lectures (kept to a minimum) and class discussion
problem solving
Power Point presentations (kept to a minimum)
videos, DVDs, CD-ROMs with detailed viewing guide and discussion questions
group activities
oral reports and other student presentations
games and simulations
web-based assignments and activities
reflective journals or papers
group and/or individual research projects with reports or poster presentations
study logs and study groups
other contemporary learning techniques (such as problem-based learning, investigative
case-based learning)
n. homework assignments