Download Mathematical Reasoning - Harrisburg Area Community College

Department:
Mathematics & Computer Science
Discipline:
Mathematics
Subject Code: MATH
Course #: 113
Course Title:
Principles of Mathematics for Elementary Teachers I
HARRISBURG AREA COMMUNITY COLLEGE
FORM 335
Course Form 335 must be updated at least every five years per AP 765 to include, at a
minimum, the following elements. [§335.2]
1.
Digital Description [§335.2] (Insert the new/revised digital description below):
Credit hours:
Lecture hours:
Lab hours:
3.0
3.0
0.0
Approved Online/Blended Face-to-Face Instruction Ratios:
[__] 25/75% [__] 33/67% [__] 50/50% [__] 67/33% [__] 75/25%
(Note: The first number indicates the percentage of online instruction. The second number indicates the percentage of in-class
instruction.)
2.
Maximum Enrollment (Insert new/revised maximum enrollments below):
In-Class Instruction: 30
Lab Instruction:
(It is assumed that maximum enrollments for blended courses are the same as those identified for In-Class instruction. Maximum
enrollments for Virtual Learning courses are to be 75% of In-Class instruction, as per the SGP on Maximum Class Size):
3.
Catalog Description [§335.2] (Insert the new/revised description in space below):
Covers mathematical topics for prospective elementary school teachers. This course
specifically addresses such topics as basic concepts of logic, sets, counting numbers,
numeration systems, integers, rational numbers, real numbers, and descriptive statistics.
4.
Prerequisites [§335.2]: MATH 045 or 051
Minimum Grade Required
C
Corequisites:
Other: Placement through the College Testing and Placement Program
5.
Learning Outcomes [§335.2]
[These outcomes are necessary to enable students to attain the essential
knowledge and skills embodied in the program’s educational objectives.]
Upon successful completion of the course the student will be able to:
 Apply knowledge of mathematical properties, terminology, and symbolism to
problem solving
 Extend knowledge of basic set theory and logic to real number operations
12/1/04
Form Template Reviewed & Updated: 10/26/07; 1/11/08; 1/16/09; 7/14/09; 7/31/12; 7/30/13; 8/26/13; 1/31/14; 8/18/14
Department:
Mathematics & Computer Science
Discipline:
Mathematics
Subject Code: MATH
Course #: 113
Course Title:
Principles of Mathematics for Elementary Teachers I
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6.
State and illustrate definitions and properties of the arithmetic operations with real
numbers and their subsets
Implement structure and strategies in the problem-solving process
Articulate methods used in mathematical processes
Recognize interrelationships among mathematical concepts and apply them to novel
situations
Calculate and interpret basic descriptive statistics
Planned Sequence of Instruction [§335.2]
[These must be designed to help students achieve the learning outcomes.]
Mathematical Reasoning
Inductive Reasoning
Deductive reasoning
Patterns
Problem Solving/Strategies
Statistics
Statistical Graphs and Tables
Statistical Deceptions
Measures of the Center
Measuring Spread
Sets
Sets
Operations on Two Sets
Whole Numbers
Numeration Systems
Addition and Subtraction of Whole Numbers
Multiplication and Division of Whole Numbers
Whole Numbers: Properties, Algorithms, and Error Patterns
Whole Numbers: Mental Computations and Estimation
Number Theory
Factors
Divisibility
Prime and Composite Numbers
Common Factors and Multiples
Integers
Addition and Subtraction of Integers
Multiplication and Division of Integers
Integers Properties and Algorithms
12/1/04
Form Template Reviewed & Updated: 10/26/07; 1/11/08; 1/16/09; 7/14/09; 7/31/12; 7/30/13; 8/26/13; 1/31/14; 8/18/14
Department:
Mathematics & Computer Science
Discipline:
Mathematics
Subject Code: MATH
Course #: 113
Course Title:
Principles of Mathematics for Elementary Teachers I
Rational Numbers as Fractions
Rational Numbers
Addition and Subtraction of Rational Numbers
Multiplication and Division of Rational Numbers
Properties of Rational Numbers
Elementary Fractions: Estimation, Mental Computation, and Error Patterns
Decimals, Percentages, and Real Numbers
Decimals: Place Value, Estimation, and Mental Computation
Decimal Arithmetic and Error Patterns
Ratio and Proportion
Percentages: Notation, Mental Computation, and Estimation
Using Percentages
Rational, Irrational, and Real Numbers
Tests and Reviews
7.
Assessment of Student Learning [§335.44]
[Methods of assessment should be appropriate for Learning Outcomes listed above.]
Assessment of student learning outcomes for the course, as required by the Shared
Governance Policy – Assessing Institutional Effectiveness, is part of regular curriculum
maintenance and/or improvement. The specific plan has been determined by the pertinent
faculty involved and is maintained in the College’s assessment management system.
Student assessment includes tests and a comprehensive final exam. Other forms of
assessment may include, but are not limited to, the following: class participation,
graded assignments, projects, portfolios, and/or quizzes. All assessment instruments
cover course competencies and are on file in the Mathematics and Computer
Science Department.
8.
List of Texts, References, Selected Library Resources or other Learning Materials
(code each item based on instructional use) [§335.2]: C-Lecture/Laboratory, ALecture, B-Laboratory, LC-Lecture/Clinical, CLN-Clinical, I-Online, BL-Blended, DIndependent Study, P-Private Lessons, E-Internship, F-Cooperative Work-Study, FEField Experience. [These resources must be easily accessible to students.]
A – A Problem Solving Approach to Mathematics for Elementary School Teachers, latest
edition by Billstein, Libeskind, Lott; Pearson.
A – Professional journals such as Teaching Children Mathematics, Mathematics
Teaching in the Middle School.
12/1/04
Form Template Reviewed & Updated: 10/26/07; 1/11/08; 1/16/09; 7/14/09; 7/31/12; 7/30/13; 8/26/13; 1/31/14; 8/18/14
Department:
Mathematics & Computer Science
Discipline:
Mathematics
Subject Code: MATH
Course #: 113
Course Title:
Principles of Mathematics for Elementary Teachers I
NAME AND SIGNATURE
1. Discipline Faculty Proponent: Mallary Kamen & Rosa Seyfried
DATE
10/1/14
2. Curriculum Manager & College Catalog Editor: Erika Steenland
3/30/15
3. Department Chairperson (Discipline Approval): Elizabeth Dunn
4/1/15
This course meets all reimbursement requirements of Chapter 335, subchapters A/B.
This course was developed, approved, and offered in accordance with the policies,
standards, guidelines, and practices established by the College. It is consistent with the
College’s mission.
If the course described here is a transfer course, it is comparable to similar courses
generally accepted for transfer accredited four-year colleges and universities.
NAME AND SIGNATURE
4. Associate Provost: Kathleen T. Doherty
DATE
4/2/15
5. Provost & VP, Academic Affairs: Cynthia Doherty, Ph.D.
4/3/15
9.
Original Date of course approval by the college: 196710
10.
Date(s) of subsequent reviews [Indicate change: Learning Outcomes; textbook(s)]:
5/03, 5/05
2/13/08 – Learning Outcomes
4/28/08 – Prerequisite and Textbook Change
5/25/09 – Textbook Update
9/6/11 – Textbook Update & Assessment of Student Learning
2/13/12 – Catalog Description, learning outcomes
10/1/14 – Planned Sequence of Instruction to align to the 14 + 1 semester – Summer 15
06/03/15 – Added new blended ratio format & approved maximum enrollment number - nb
12/1/04
Form Template Reviewed & Updated: 10/26/07; 1/11/08; 1/16/09; 7/14/09; 7/31/12; 7/30/13; 8/26/13; 1/31/14; 8/18/14