Welcome to MATH
1351 First Day Handout
Mathematics
for Teacher Certification II
Fall 2010 08241 005
FBG rm. 202 Tues & Thurs.
Dr. Nancy C.
Miller, Ph.D. Professor of Mathematics
Office Hours for Spring: Tuesdays
Thursdays 12 noon-2:15pm
at PIN
Office Hours: Tues &
Thur
Thurs mornings available
for student appts or committee meetings
Friday mornings, Feb. 5,
Mar. 5, April 16, 10-12 noon available for appts or committee meetings
Call or e-mail if you
need an appointment.
Office: PIN 1025 inside
1023 & FBG HS room 202 Phone
Number: 512-223-8270 E-Mail:
Prerequisites: MATH 1350 with at least a
C grade. Students in Math 1350/51 must
have completed College Algebra or its equivalent with at least a grade of C AND
have completed any remediation requirements.
Required
Text: Mathematics for Elementary
School Teachers 4th edition; Tom Bassarear; Houghton
Mifflin Co.; ISBN 13: 978-0-618-76836-3
Mathematics for Elementary School
Teachers 4th edition:
Explorations; Tom Bassarear;
Houghton Mifflin Co.; ISBN 13: 978-0-618-76837-0 or Package of both texts, ISBN 13:
978-0-618-95062-1
MATH 1351 MATHEMATICS FOR MIDDLE GRADE TEACHER
CERTIFICATION II (
Required Materials: Scissors, colored pencils or crayons,
1/4" graph paper, tracing paper (optional). You may want to purchase a
three-ring binder, index pages (with pockets are useful), and a three-hole
punch to keep and organize your materials. A pencil bag (that fits into your
three-ring binder) is helpful. Being organized will be very helpful in
this course.
INSTRUCTIONAL METHODOLOGY This course is taught through investigations of
mathematical ideas through explorations in a supportive, cooperative learning
environment.
COURSE RATIONALE
MATH
1351 is the second semester of a two-semester sequence (1350/1351) designed for
prospective elementary and middle school teachers. This course extends the
foundational ideas of mathematics so that the prospective teachers (E.C.-8)
have an explicit understanding of these concepts. This sequence of courses
transfers to UT-Austin as M316K and M316L and transfers to other four-year
institutions.
COMMON COURSE OBJECTIVES http://www2.austin.cc.tx.us/mthdept2/tfcourses/obj1350.htm
Learning Objectives
The objectives of MATH 1350 and MATH 1351 are to:
a) increase students' explicit understanding (a
level of understanding which allows one to clearly and accurately communicate
mathematical ideas) of some elementary mathematics;
b) increase students' ability to independently
increase their own understanding of mathematics (they need to be able to learn
math and be confident that they understand it since we can't get to everything
they will need to teach elementary students);
c) challenge students' beliefs about mathematics
and, hopefully, change their attitudes in a positive way;
d) provide students with an opportunity to experience
mathematics in way they will be expected to teach it (for further information
on that see NCTM's Professional Standards);
e) introduce, through use rather than
demonstration, common manipulatives;
f) begin to develop effective communication skills
that will be useful to the student when they begin teaching.
MATH 1351 covers the following topics:
Internet: Feel free to email me with
questions or comments. You have web
access from any ACC computer lab. You'll need a validated ACC ID to use the
lab.
Perspective: These courses are intended
to be the beginning of a transition from being a learner of mathematics to being
a teacher of mathematics. This transition will culminate with the mathematics
methods course taken as part of teacher training. During this transition you
should develop from being able to "do" mathematics to being able to
analyze and understand elementary mathematics concepts. You should concentrate
on changing from a passive receiver of information to an independent learner
who can seek out new ideas and understand them. Lastly, you should begin this
transition by focusing on yourself as a learner of mathematics (How do I learn
math?) to focusing on others' learning styles to focusing on the child as a
learner and how you can facilitate that learning. Like many other careers, elementary and
middle grade education has its "tools of the trade" (manipulatives And
calculators). It is unfortunate that they are only recently becoming commonly
used and you will be expected to utilize them. Therefore, you must learn to use
manipulatives to model mathematical ideas and, hopefully, will come to
appreciate their usefulness.
Participation Expectations & Attendance: This class is designed to be active and interactive. You must participate in group discussion with
your peers each class session. Much of what you learn will evolve from in-class
activities, experiences and discussions. Attendance and participation are
essential. I do take attendance each class meeting. I assume that you will not
miss class unless you are ill or must attend to some personal emergency
(covering someone's shift at work isn't a personal emergency - Your job from
Study: A college mathematics
course typically requires two to three hours of study outside of class for
every one hour spent in class. Using this guideline, you should schedule three
to five hours per class period for studying outside of class and then be
grateful if you don't need it. This is a
very intensive and demanding course. You will have to spend time outside of
class working on this course; because of that, you will want to use your time
in class effectively (not visiting!). The tasks in the course will require time
outside of scheduled class hours for reading, thinking, problem solving, and
writing. You may also want to plan for time to work with classmates outside of
class time. If you work full-time or if you are taking courses and working, you
should carefully consider how you will manage the time requirements of this
course as well as your additional responsibilities.
Incompletes: I don't give a grade of
incomplete except in extreme documented cases. Extreme means something drastic
occurring after the drop date of
Withdrawals: Either one of us may
initiate a withdrawal up to the published withdrawal date. College policy is that an instructor may
withdraw you from a course if you miss four class meetings or are not making
adequate progress in the course (not turning in assignments). Do not assume
that I will withdraw you if you just stop attending class; while I have the
right, I make no commitment to withdraw you for non-attendance. If there's a
problem, call, email or leave a note. Be
flexible, come to class, do your work, and ask questions. The last day to withdraw is
Organization: This course will cover
Chapters 7-10 of the text beginning with 8, 9, 10 and finishing with 7.
*Additional information about ACC's mathematics
curriculum and faculty is available on the Internet at http://www.austincc.edu/math/
Course
Components:
You will be evaluated on each of the following course components.
Text exercises
.
120 points
Chapter explorations
..280 points
Reflective writings
.. 60 points
Problems set (take home exam) 100 points
In class exams 1 and 2
.
..200 points
Final exam in class
.
.100 points
Portfolio
.
.40 points
Assessment or Grading
Policy:
Chapter exercises
..
10 points each completely
worked, correct response set.
Chapter explorations
. 10 points each completely
worked, correct response set.
Reflective writings
10 points each read and
recorded. Credit for thoroughly writing on topic assigned showing evidence of entire
reading.
Problem set take home test 100 points possible,
completely worked, correct response set with sufficient justification. Worked alone without help from another person, but not in class. You may use your text books or other books.
In class exams 1 & 2 and final exams
.100 points
each completely worked in class with process shown and explained.
Portfolio
. 40 points. The portfolio is part of
your final assessment and will consist of several challenging writing and
problem solving components along with some of your best work and your word list with definitions. In
the writing component, you will evaluate your own progress in meeting the
course objectives and you will discuss your mathematical growth. In the
problem-solving component, you will demonstrate that you have become more competent
as an independent learner by exploring new mathematical concepts.
Grading Scale
A
..810-900 points minimum and minimum
grade of 80 on the in class final exam
B
..720 minimum points and minimum grade
of 70 on the in class final exam
C
.630 minimum points and minimum grade
of 65 on the in class final exam
D
.540 minimum points and minimum grade
of 55 on the in class final exam
F
.below 540 points or below 55 on the in class final exam
So if a student earns 820 points on course work,
but the final exam grade is 75, the final exam grade of 75 would mean the
student would earn a course grade of B. Both minimum points and minimum final
exam scores are required for any grade as listed above.
Im glad you are in my class. I will be your
encourager as you learn mathematics.
Missed
Exams: in order to
take a make-up in class exam or final exam a student must provide official
documentation of emergency or illness within 2 days of the exam and take
the exam then.
Late
daily work is accepted for 80% of full credit up to 3 days late
until May 1. No late daily work can be
accepted after May 1. Five points is
deducted for each day late on the Problem Set.
You will want to look at these pages. NCTM, <http://www.nctm.org>; Principles
and Standards for School Mathematics, <http://www.nctm.org/standards/>;
toolkit and benchmarks at http://www.utdanacenter.org/
Assignments
Chapter 8:
Geometry as Shape
Explorations 8.1
, 8.2,
..
.
20 Points
Section 8.1
Exploring Basic Concepts of Geomety
Text Exercises 8.1
..2, 8, 9, 10,
15, 18a
..
10 Points
Due date for Expl 8.1, 8.2, & text 8.1 Jan. 26
Section 8.2
Exploring Two-Dimensional Figures
Explorations 8.9,
.
8.11
...
..
.20
Points
Text Exercises 8.2
.. 1, 2, 4, 7, 9, 10, 14a &b, 16, 18
..
....10
Points
Due date for Expl 8.9, 8.11, & text 8.2, Feb 2
Section 8.3
Exploring Three-Dimensional Figures
Explorations 8.14
. 8.15,
8.17
.
..
30
Points
Text Exercises 8.3
..1, 2, 6, 8
23
..
..10 Points
Due date for remainder of Chapter 8 Feb. 11
Problem Set
Exam handed out Thursday, Feb 11 &
due Feb. 18..
100 Points
The explorations may be turned in one at a time as
you complete them early.
Chapter 9:
Geometry as Transforming Shapes
Explorations 9.1,
.9.3 part 1
.
20
Points
Section 9.1
Exploring Congruence Transformations
Explorations 9.4 delete 5-8,
.. 9.6
..
20
Points
Text Exercises 9.1
. 1, 2, 3, 4, 5, 6, 7, 9
...10 Points
This assignment is due Feb. 25.
Section 9.2
Symmetry and Tessellations
Exploration 9.7
10 Points
Text Exercises
9.2
..1, 5, 8, 9, 10, 13, 20, 25
10 Points
This assignment is due March 4.
Section 9.3
Exploring Similarity
Explorations 9.11,
..9.12
.
.
.20
Points
Text Exercises 9.3
..1,
2, 4, 5, 7, 8, 9, 10
10 Points
This assignment is due March 9.
Section 9.4
Topology discussion
Exam 1 will be in class without
books, but 1 page of notes allowed, Chapters 8 & 9, Mar. 11
.
..
..
100
Points
Chapter10:
Geometry as Measurement
Section 10.l
Systems of Measurement
Explorations 10.1.or. 10.2 (
Text Exercises 10.1
1,
2, 3, 4, 10a, 16, 18, 28 a,b,c
.10
Points
This assignment is due March 30.
Section 10.2
Perimeter and Area
Explorations 10.6,
10.7,. 10.8,. 10.12
.
.40 Points
Text Exercises 10.2
.. 1, 3, 5, 8, 11, 14, 19
..
10
Points
This assignment is due April 13.
Section 10.3
Surface Area and Volume
Exploration 10.14,
10.15
..
.20 Points
Text Exercise 10.3
1, 3, 7, 14, 17, 20
.10 Points
This assignment is due April 20
Exam 2 will be in class without
books, but 1 page of notes allowed, Chapters 8 - 10,
April 22
.
..
..
100 Points
Chapter 7:
Uncertainty: Data and Chance
Section 7.1
Representing and Interpreting Data
Exploration (collect data before class)7.2, 7.4 (5) or 7.5
...20 Points
Text Exercises 7.1
1, 5, 9, 10, 11, 14, 17, 21, 30
.10 Points
This assignment is due April 29.
Section 7.2.
Distributions: Centers and Spreads
Exploration 7.7 part
.
.10 Points
Text Exercises 7.2
.4, 6 a-e,. 7a-g, 11a, 21
.
.10 Points
This assignment is due May 4.
Section 7.3
Concepts Related to Chance
Exploration 7.18
7.19
.20 Points
Text Exercises 7.3
..1,
2, 6, 10, 12
.10 Points
This assignment is due May 11.
Final exam will be in class May 13, without
books, but 1 page of notes allowed, over Chapters 7-10..100pts
Portfolio I will distribute your portfolio assignments on May 4.
It will be due by May 13, no later than
Scholastic Dishonesty Acts prohibited by the college for which discipline may be administered include scholastic dishonesty, including but not limited to, cheating on an exam or quiz, plagiarizing, and unauthorized collaboration with another in preparing outside work. Academic work submitted by students shall be the result of their thought, work, research or self-expression. Academic work is defined as, but not limited to, tests, quizzes, whether taken electronically or on paper; projects, either individual or group; classroom presentations; and homework.
Student Discipline Classroom behavior should support and enhance learning. Behavior that disrupts the learning process will be dealt with appropriately, which may include having the student leave class for the rest of that day. In serious cases, disruptive behavior may lead to a student being withdrawn from the class. ACC's policy on student discipline can be found in the Student Handbook page 32 or on the web at: http://www.austincc.edu/handbook/ Students with Disabilities Each ACC campus offers support services for students with documented physical or psychological disabilities. Students with disabilities must request reasonable accommodations through the Office of Students with Disabilities on the campus where they expect to take the majority of their classes. Students are encouraged to do this three weeks before the start of the semester. Students who are requesting accommodation must provide the instructor with a letter of accommodation from the Office of Students with Disabilities (OSD) at the beginning of the semester. Accommodations can only be made after the instructor receives the letter of accommodation from OSD.
Academic Freedom Institutions of higher education are conducted for the common good. The common good depends upon a search for truth and upon free expression. In this course the professor and students shall strive to protect free inquiry and the open exchange of facts, ideas, and opinions. Students are free to take exception to views offered in this course and to reserve judgment about debatable issues. Grades will not be affected by personal views. With this freedom comes the responsibility of civility and a respect for a diversity of ideas and opinions. This means that students must take turns speaking, listen to others speak without interruption, and refrain from name-calling or other personal attacks.
TESTING CENTER POLICY
STUDENT SERVICES: http://www.austincc.edu/current/
The ACC student handbook can be
found at: http://www.austincc.edu/handbook/