ST. LOUIS COMMUNITY COLLEGE AT FLORISSANT VALLEY
COURSE OF STUDY
MTH:166
DEPARTMENT: Mathematics LAST
UPDATE Summer 2006
COURSE TITLE: Structures of Mathematical Systems II CREDIT
HOURS: 3
LECTURE
HOURS PER WEEK: 3 LAB
HOURS PER WEEK: 0
During the first week of the
semester, it is the responsibility of each instructor to furnish, in writing,
the course objectives and a course syllabus.
The objectives are stated below.
The syllabus should include instructor information, course information,
expected outcomes, course requirements, method of evaluation and an explanation
of grading policies, policies on make up work, ground rules for class
participation, a tentative class schedule, withdrawal dates, expected classroom
behavior, information on the math learning center, consultation (office) hours,
and an Americans with Disabilities Act (ADA) accommodations statement.
COURSE DESCRIPTION:
This course is designed for
those students who are interested in teaching elementary school. The NCTM Standards state that “prospective
teachers be taught in a manner similar to how they are to teach.” Thus, this course should develop the
teaching process as well as addressing the mathematical topics of the
course. Topics include: introductory
geometry, congruence, symmetry, similarity, measurement, algebra and coordinate
geometry, statistics and probability.
COURSE PREREQUISITE:
MTH: 165 with a grade of “C”
or better, or satisfactory score on placement test.
TEXT:
Long, Calvin T., and Duane
W. De Temple. Mathematical Reasoning for Elementary Teachers. (Fourth Edition)
Addison Wesley Educational Publishers Inc., 2006
SUPPLEMENTAL MATERIALS:
1) Instructor’s Guide
2) Student Guide (extra cost)
3) Printed Test Bank
4) Activities for Elementary Mathematics Teacher (fifth edition). Dolan, Williamson, Muri
5) Instructor’s Solutions Manual
COURSE OBJECTIVES:
The student will…
1.
be able to identify and
work with basic geometric figures and concepts.
2.
explore various
transformations of geometric figures.
3.
become familiar with
the metric system as well as extend their understanding of the concepts of
perimeter, area and volume.
4.
be able to use tables
and graphs to convey and retrieve information.
5.
be able to relate their
everyday language to mathematical language and symbols.
6.
gain a deeper
understanding of basic algebraic concepts.
7.
be able to construct,
read and interpret displays of data.
8.
be able to use and
understand the basic principles of probability.
ANCILLARY MATERIAL:
A supply of various types of
manipulatives is available in the department.
COURSE OUTLINE:
|
|
|
Suggested Time Allotment |
|
Chapter |
Topics and Sections |
(Number of 75 min. periods) |
|
|
|
|
|
Chapter
8 |
Algebraic Reasoning & Representation |
3 |
|
|
8.1 through 8.3 |
|
|
|
|
|
|
Chapter
9 |
Statistics: The interpretation of data |
3 |
|
|
9.1 through 9.3 |
|
|
|
|
|
|
Chapter
10 |
Probability |
5 |
|
|
10.1 through 10.3 |
|
|
|
|
|
|
Chapter
11 |
Geometric Figures |
4 |
|
|
11.1 through 11.4 |
|
|
|
|
|
|
Chapter
12 |
Measurement |
3 |
|
|
12.1 through 12.4 |
|
|
|
|
|
|
Chapter
13 |
Transformations, Symmetries, and Tilings |
3 |
|
|
13.1 through 13.3 |
|
|
|
|
|
|
Chapter
14 |
Congruence, Construction, and Similarity |
3 |
|
|
14.1 through 14.3 |
|
|
|
|
|
|
Test
and Review |
|
6 |
|
|
|
|
|
|
|
TOTAL: 30 sessions |
ADDITIONAL COMMENTS:
1) It is important to teach in a highly participatory
manner using groups and manipulatives, i.e. in the desired manner in which
these future teachers will teach.
2) The development of problem solving skills should be
given considerable time, effort, and attention.
3) Calculator use should be carefully integrated into
the course in a way that will help reinforce important concepts. This is strongly encouraged but implemented
at instructor’s discretion.