Math 231 - Morehead State University

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Morehead State University
Professional Education Unit
College of Science and Technology
Department of Mathematics and Computer Science
Math 231-001 and 231-001L: Mathematics for the Elementary Teacher I (face-to-face)
Fall 2013 8:00–10:10 MW LA 226
Instructor:
Office:
E-mail:
Office hours:
Christie A. Perry, Ph. D.
Office Phone:
Lappin Hall 201E
Home Phone:
c.perry@moreheadstate.edu
MTW 10:20 – 11:50, T 1:30 – 3:00, and by appointment.
(606) 783-2935
(606) 683-4391
Catalog Course Description: Number systems, primes, and divisibility; fractions; decimals; real
numbers; algebraic sentences. Successful completion of a basic skills exam in mathematics is required for
credit in this course. Designed for preservice teachers P-9. Prerequisite: Completion of a general
education required core course in mathematics.
Required Text: Bennett, Albert B., Jr. & Nelson, L. Ted (2010). Mathematics for Elementary Teachers:
A Conceptual Approach (9th edition). New York: McGraw-Hill.
Required Field Experience: Not Applicable.
“Community Engagement: A Light to and From the Mountains”
The Professional Education Unit in the Department of Mathematics and Computer Science at Morehead
State University delivers rigorous, high quality programs and courses that prepare professionals informed
by NCTM and MAA standards- preparing professionals to improve the schools, quality of life, and the
communities in which they live and serve. This statement is not only the strategic mission for the
department, but it also incorporates the conceptual framework that guides its activities.
Conceptual Framework Outcomes (CFO)
The Unit and the faculty within individual programs assess the degree to which its graduates:
1) Master the content knowledge, professional and the twenty – first century skills need to make an
optimal contribution to “whole” student learning in education settings.
2) Are competent in the collection and use of data to inform decision – making and to demonstrate
accountability for student learning.
3) Demonstrate professional dispositions
4) Are culturally competent and understand the regions from which they have come utilizing knowledge
and experiences to effectively “bridge the gaps” (economic, achievement, and geographic) ensuring
optimal learning for all students.
5) Engage in authentic field experiences in collaboration with committed school – based partners and are
empowered to improve the quality of education throughout this region and beyond.
Student Learning Outcomes (SLO)
This course is the first of a two-semester sequence for prospective teachers of elementary school
mathematics. The primary goal of these two courses is to prepare the prospective teacher with sufficient
understanding of concepts and procedures of elementary mathematics so that s/he can design
mathematical environments where students construct knowledge and develop skills in mathematics. The
content of this particular course includes a great deal of the content of the mathematics program of the
elementary grades primarily in the Big Ideas of Number and Operations and Algebraic Thinking. Thus, it
is expected that students in this course already have a working knowledge of the concepts explored. We
will explore the concepts in more depth and make connections among the mathematical ideas. MATH
231’s learning goals integrate the following National Council of Teachers of Mathematics (NCTM)
standards. Students will be able to:
1. Build new mathematical knowledge through problem solving.
2. Select and use various types of reasoning and methods of proof.
3. Communicate mathematical thinking coherently and clearly to peers, professors, and others.
4. Understand how mathematical ideas interconnect and build on one another to produce a coherent
whole.
5. Use of multiple representations to model and interpret physical, social, and mathematical
phenomena.
6. Demonstrate skills, explain concepts, and justify generalizations in the content area of Number
and Operations.
7. Demonstrate skills, explain concepts, and justify generalizations in the content are of Algebraic
Thinking.
Technology Requirements: Access to the Internet is required. Assignments and announcements will
be posted on Blackboard. Some assignments will require the use of computers, computer software, and
the Blackboard site.
NOTE: This is a NO CALCULATOR class.
Basic Skills Test: There is a basic skills test with this course. The test measures paper/pencil skill
at basic mathematics including addition/subtraction/multiplication/division of whole numbers,
decimals, fractions, and integers as well as ideas regarding factors, multiples, equivalent fractions,
and percents. In order to pass the course you must pass the basic skills test with 80%
proficiency rate. The test will be given to the class on Friday, Sept. 6, 2013, 8:00 am. If you do
not pass you will need to sign up for a time with me to retake the test. You may take the test 3 times.
I will be glad to hold remediation sessions for groups of students or individuals as needed. The test
must be passed prior to finals week to receive credit in this course. Your score on the test will
not be figured into your grade for the course.
Course Evaluation: Course evaluation will include a variety of assignments including tests, quizzes,
projects, in class activities, and homework. Grading will be based on the usual scale: 90% and above –
A, 80% - 89% B, 70% - 79% C, 60% - 69% D, and below 60% E. To determine the final grade the
assignments are weighted as follows:
Tests: 35%
Quizzes: 10%
Projects/Other writings or readings: 20%
Homework/Class Activities: 15%
Final Exam: 20%
Explanations of assignments are given in the following two tables.
NCATE/EPSB Accreditation Alignment of CFO's and SLO's
Program:
Mathematics for Elementary Teachers I
Aligned with
Assessment
(point values)
Kentucky
Teacher
Standards
(KYS)
[ Tests, 3@100 pts
each, 35% of grade
]
CFO: 1
SLO: 1, 2, 3, 4, 5, 6,
7
1
[ Quizzes, point
values vary, 10%
of grade ]
CFO: 1
SLO: 1, 2, 3, 4, 5, 6,
7
1
[ Project –
Patterns Project,
100 pts.]
CFO: 1
SLO: 1, 3, 4, 5, 7
1
[ Project – I Have
Who Has/KCAS
Project, 100 pts. ]
CFO: 1, 3, 4
SLO: 1, 3, 4, 5, 6
[ Project – Journal
Article, 100 pts. ]
CFO: 1, 3
SLO: 1, 2, 3, 4, 5, 6
[ Homework &
Class Activities,
Kentucky Core Academic
Standards (KCAS)
Educati
on
Profess
ional
Standa
rds
Board
(EPSB)
NCTM
NCATE
Counting and Cardinality
Number and Operations in Base Ten
Operations and Algebraic Thinking
Expressions and Equations
The Number System
Functions
Creating Equations
Reasoning with Equations and
Inequalities
Building Functions
Interpreting Functions
Linear, Quadratic and Exponential
Models
Counting and Cardinality
Number and Operations in Base Ten
Operations and Algebraic Thinking
Expressions and Equations
The Number System
Functions
Creating Equations
Reasoning with Equations and
Inequalities
Building Functions
Interpreting Functions
Linear, Quadratic and Exponential
Models
Operations and Algebraic Thinking
Expressions and Equations
1, 2, 3,
4
1, 2, 3, 4, 5, 6,
9, 10
1
1, 2, 3
1, 2, 3, 4, 5, 6,
9, 10
1
2, 3
1, 2, 3, 5, 9,
10
1
1, 2, 3, 4,
6, 8
Counting and Cardinality
Number and Operations in Base Ten
Operations and Algebraic Thinking
1, 2, 3
1, 3, 4,5, 6, 8,
9
1
1, 7
Number and Operations in Base Ten
Operations and Algebraic Thinking
1, 2, 3,
4
1, 2, 3, 4, 5, 7,
8, 9
1
1, 8
Counting and Cardinality
Number and Operations in Base Ten
1, 2, 3
1, 2, 3, 4, 5, 6,
9, 10
1
Each homework is
25 pts, Class
activity points
vary, 15% of grade
]
CFO: 1
SLO: 1,2,3,4,5, 6, 7
[ Final Exam, 100
pts, 20% of grade]
1
CFO: 1
SLO: 1, 2, 3, 4, 5, 6,
7
Reading Guides, 0
points, 0% of
grade
CFO: 1
SLO: 1,2,3,4,5, 6, 7
1, 8
Operations and Algebraic Thinking
Expressions and Equations
The Number System
Functions
Creating Equations
Reasoning with Equations and
Inequalities
Building Functions
Interpreting Functions
Linear, Quadratic and Exponential
Models
Counting and Cardinality
Number and Operations in Base Ten
Operations and Algebraic Thinking
Expressions and Equations
Ratios and Proportional
Relationships
The Number System
Functions
Creating Equations
Reasoning with Equations and
Inequalities
Building Functions
Interpreting Functions
Linear, Quadratic and Exponential
Models
Counting and Cardinality
Number and Operations in Base Ten
Operations and Algebraic Thinking
Expressions and Equations
The Number System
Functions
Creating Equations
Reasoning with Equations and
Inequalities
Building Functions
Interpreting Functions
Linear, Quadratic and Exponential
Models
1, 2, 3
1, 2, 3, 4, 5, 6,
9, 10
1
1, 2, 3
1, 2, 3, 4, 5, 6,
9, 10
1
Assignment Descriptions
Program:
Mathematics for Elementary Teachers I
Assessment (point value)
Description
Test 1, 100 pts.
Chapters 1 & 2
Test 2, 100 pts.
Chapter 3
Test 3, 100 pts.
Chapter 4 & 5
Final Exam, 100 pts.
Chapter 6 and also cumulative over Chapters 1-5
Quizzes, pt. values vary
5 quizzes will be given during the semester. The content of these
quizzes varies. They will be announced.
Patterns Project, 100 pts.
In this project you will explore number patterns. You may work
individually or with one or two others.
I Have Who Has/KCAS-M Project,
This is a group project. Your group will be develop a classroom
100 pts.
game using content from the Kentucky Core Academic Standards in
Mathematics.
Journal Article, 100 pts
You will read an article from the journal Teaching Children
Mathematics and answer a set of questions related to this article.
You will discuss the article via Blackboard and write a reflection
paper.
Homework, 25 pts. each
Homework assignments are posted on Blackboard and consist of
reading the section and solving 5 problems for each assignment.
The problems are graded according to a rubric that is posted on
Blackboard. Due dates will be announced. You may be asked to
present solutions to homework problems to the class. Students who
practice by working through the homework do better on the tests.
Working through mathematics on your own outside of class is
essential to your success. Homework is due at the beginning of the
class; late work is not accepted. Being absent from class is no
excuse for not turning in homework on time. I will drop your
lowest homework grade.
Class activities, pt. values vary
The course will build an understanding of the mathematical concepts
by studying multiple representations of mathematical ideas and
making mathematical connections through the use of activities and
manipulatives. The inquiry-based, active approach is used not only
to enhance content understanding but also to model appropriate
pedagogical techniques suggested by current theories of learning
and best practices. These activites are integral to learning and can
not be made up if you miss class. I will drop your lowest class
activity grade.
Reading Guides, 0 pts.
The reading guides are a formative self assessment to help you read
and understand the material, and they will not be taken up and
graded. They are posted on Blackboard along with answer keys.
You are strongly encouraged to complete the reading guide as you
read the chapter sections and check your responses with those on the
key. If you have questions about the reading guide questions or
solutions you may ask them in class when we go over the homework
for that section. There may be questions on the quizzes and tests
that relate to the reading guides.
Fall 2013 Tentative Daily Schedule
Date
Topic
Mon. 8/19
Wed. 8/21
Mon. 8/26
Wed. 8/28
Mon. 9/2
Wed. 9/4
Introduction, Section 1.1: Problem Solving
Sections 1.1 & 1.2: Problem Solving, Patterns
Section 1.2: Problem Solving, Patterns
Section 1.3: Problem Solving with Algebra
No Class – LABOR DAY
Section 2.1: Sets and Venn Diagrams
Fri. 9/6
Mon. 9/9
Wed. 10/23
Mon. 10/ 28
BASIC SKILLS TEST
Section 2.1: Sets and Venn Diagrams
Section 2.2: Functions & Graphs
Section 2.2: Functions & Graphs
Test 1
Section 3.1 (bring Base 5 blocks): Numeration
Systems
Section 3.1 & 3.2 (bring Base 5 blocks): Numeration
Systems, Addition & Subtraction
Section 3.2 (bring Base 5 blocks): Add. & Subt.
Section 3.3 (bring Base 10 blocks): Multiplication
Lets Play Games! (KCAS Game Project)
Section 3.3 & 3.4 (bring Base 10 blocks):
Multiplication, Division
Sections 3.4: Division
Section 3.4: Exponents
Test 2
Section 4.1 (bring Base 10 blocks): Factors &
Multiples
Sections 4.1 & 4.2: Factors & Multiples, GCD & LCM
Section 4.2: GCD & LCM
Wed. 10/30
Mon. 11/4
Section 5. 1: Integers
Section 5.2 (bring Fraction Bars): Fractions
Wed. 11/6
Section 5.3 (bring Fraction Bars): Operations with
Fractions
Section 5.3: Operations with Fractions
NO CLASS – MPATE Day
Test 3
Section 6.1 (bring Decimal Squares): Decimals and
Rational Numbers
Section 6.2: Operations with Decimals
NO CLASS – Thanksgiving Holiday
Section 6.3: Ratio & Percent
Section 6.4: Irrational & Real Numbers
Final Exam – 8:00 am
Wed. 9/11
Mon. 9/16
Wed. 9/18
Mon. 9/23
Wed. 9/25
Mon. 9/30
Wed. 10/2
Mon. 10/7
Wed. 10/9
Mon. 10/14
Wed. 10/16
Mon. 10/21
Mon. 11/11
Wed. 11/13
Mon. 11/18
Wed. 11/20
Mon. 11/25
Wed. 11/27
Mon. 12/2
Wed. 12/4
Tues, 12/10
Assignments
Patterns Project Assigned
HW 1.1 due
Quiz 1.1 & 1.2
Patterns Project due; HW 1.2
due
HW 1.3 due
HW 2.1 due
KCAS Game Project Assigned
HW 3.1 due
Quiz 3.1 & 3.2
HW 3.2 due
Quiz Mult. & Div., HW 3.3 due
Journal Article Assigned
Blackboard Discussion Board
Closed; HW 4.1 due
Quiz 4.1 & 4.2; HW. 4.2 due
Journal Article Assignment
Due; HW 5.1 due
Quiz 5.1 & 5.2; HW 5.2 due
HW 5.3 due
HW 6.1 due
Attendance and Class Participation: You are expected to attend every class and arrive on time
prepared to participate. This includes a willingness to share your ideas and solutions with the class. You
may be called upon to present these ideas and solutions. Attendance and class participation are necessary
for success in this class;
 In class activities can not be made up. You will lose these points if you miss class.
 A student with a valid excuse (verification required) for missing a test must notify the
instructor prior to the test in order to schedule a make-up of the test.
 Late homework is not accepted. If you are going to miss class you should make arrangements
to get the homework turned in the day it is due.
Help
 I will be glad to help. Come to see me anytime during my office hours or schedule an
appointment.
 Free tutoring is available from the Academic Services Center, in 208 Allie Young. Please call
783-5200 to make an appointment.
 Form a study group with other students in the class.
Remember, if you get stuck, seek help. Do not wait until it is too late!
The last day to drop a class with a grade of “W” is Friday, November 1, 2013.
Academic Honesty
Cheating, fabrication, plagiarism or helping others to commit these acts will not be tolerated. Academic
dishonesty will result in severe disciplinary action including, but not limited to, failure of the student
assessment item or course, and/ or dismissal from MSU. If you are not sure what constitutes academic
dishonesty, read the Eagle: Student Handbook or ask your instructor. An example of plagiarism is
copying information from the internet when appropriate credit is not given. The policy is located at
http://morehead-st.edu/units/studentlife/handbook/academicdishonesty.html
Americans with Disabilities Act (ADA)
In compliance with the ADA, all students with a documented disability are entitled to reasonable
accommodations and services to support their academic success and safety. Though a request for services
may be made at any time, services are best applied when they are requested at or before the start of the
semester. To receive accommodations and services the student should immediately contact the Disability
Services Coordinator in the Office of Academic and Career Services, 223 Allie Young Hall, 606-7835188, www.moreheadstate.edu/acs/
Campus Safety Statement
Emergency response information will be discussed in class. Students should familiarize themselves with
the nearest exit routes in the event evacuation becomes necessary. You should notify your instructor at
the beginning of the semester if you have special needs or will require assistance during an emergency
evacuation. Students should familiarize themselves with emergency response protocols at
http://www.moreheadstate.edu/emergency
The instructor reserves the right to alter this syllabus at anytime during the course of the semester, with
due notice being given to the class.
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