MAT 223 FUNDAMENTAL CONCEPTS OF MATHEMATICS III
10:40-11:50 MWF, FALL 2015
BETSY McCall, M.A., M.S.,
ASSISTANT PROFESSOR OF MATHEMATICS
ANNE ARUNDEL COMMUNITY COLLEGE
OFFICE HOURS bjmccall@aacc.edu
(410) 777-1296
Mathematics 231J
MW 1:30-3:30
ThF 1:30-2:30
Thursdays, I will be in CRSC 190. All other days I will be in Math 231J.
COURSE WEBSITES
COURSE DESCRIPTION
LEARNING OBJECTIVES
REQUIRED MATERIALS
ATTENDANCE
Canvas Course (TBA)
Online Homework learn.hawkeslearning.com
Archive Site betsymccall.info or
http://betsymccall.net/prof/courses/fall15/aacc/edstats.html
Primarily for students in the elementary education program. Topics include data collection, sampling, interpreting data, displaying data, correlation and regression, distributions, confidence intervals, probability, and the use of technology. Principles and standards of national mathematics organizations are applied to probability and statistics.
Prerequisite: MAT 221 or MAT 222 or equivalent
Note: Credit is not given for both MAT 223 and MAT 135 a.
Use the techniques of descriptive statistics to collect and organize data, create and interpret graphs, and compute statistics. b.
Apply probability theory in specific contexts. c.
Use the techniques of inferential statistics to construct confidence intervals and conduct hypothesis tests. d.
Use technology to enter, display, and analyze data. e.
Evaluate the validity of educational statistics as presented in a journal article. f.
Improve skills needed to teach elementary school mathematics.
Textbook: “Beginning Statistics” 2 nd Edition, by Warren, Denley, and
Atchley, Hawkes Learning Systems, 2014
Software: CD/Students access code for “Hawkes Learning Systems” software accompanying every new textbook
Calculator: While a scientific calculator may be minimally adequate for completing this course, it is strongly recommended that students obtain a TI-83/84 calculator. Students may not use a TI emulator on their smartphones or tablets during exams.
Attendance is class is required of all students. We will be doing a number of in-class group activities, some of which will be extremely difficult to replicate by oneself outside of class. AACC faculty are required to report attendance daily. If you must miss class, you can
GRADING
EXAMS
ONLINE HOMEWORK
ATTENDANCE AND
PARTICIPATION submit assignments to me by email before the end of class (scan or take a clear photo). Late assignments will be assessed a 50% penalty.
Exceptions to this policy will be made only under extreme circumstances, or if arrangements are made in advance of the absence.
Midterm Exams (x2) – 150 points each (300 points total)
Final Exam – 200 points
Online Homework – 150 points
Attendance and Participation – 100 points
Projects – 200 points
Quizzes – 50 points
The total course grade is out of 1000 points. Grades will be awarded as follows:
F: 0-599 points
D: 600-699 points
C: 700-799 points
B: 800-899 points
A: 900+ points
Exams will be given in class. Make-ups will be allowed if 1) prior permission is obtained and make-up time is scheduled in advance
(more than 48 hours!), 2) under exceptional circumstances. Students are responsible for contacting me in a timely fashion. Once a graded exam is returned to students, the exam cannot be made up under any circumstances.
Final Exam: Friday, December 11, 10:15-12:15 (tentative)
The final exam is comprehensive, but will emphasize more recent material.
We will be using an online learning system from Hawkes. The CD accompanies the textbook for this course. The learning system has three stages: learn (essential from the e-book), practice (do problems as often as you like with learning aids), and certify (this is the stage that is graded). You may attempt the certify stage once before doing the practice if you like, however, in general, you will need to obtain 80% or higher mastery of the material to be awarded credit for it. Chapter
Reviews are optional, as are the three assigned sections from the appendices, however, you can use these to make up points from sections you missed. Students cannot earn more than 150 points toward this component, but if you are borderline, I may consider additional points for rounding purposes.
As noted above, faculty are required to report attendance to the college daily. You must attend 75% or more of classes to be consider
“attending” for reporting purposes. Your grade for this component will be computed this way:
PROJECTS
QUIZZES
TUTORING
SPECIAL NEEDS
All students will start out with 120 points (20 points more than you can earn at the end of semester). Each day a student misses class will result in a 5-point deduction. (This will allow you to miss 4 class days.
All absences, for any reason, count against this.)
On a near daily basis, students will be expected to prepare “discussion questions” for class. Class preparation may also include reading articles posted online or passed out in advance. Students that fail to make a substantial effort to complete the required discussion questions prior to class, will be penalized up to 4 points per class.
We will be doing a number of in-class activities to accompany learning in the classroom. Not fully participating in these activities may result in penalties up to 4 points for non-participation, not to exceed 5 points total for any one day.
Students will be completing a number of projects during the course of the semester. One project will be completed in class working in groups
(50 points). There will be four short Excel projects (25 points each).
There will also be a critical analysis of an education paper due at the end of the semester (50 points). More information on these projects will be forthcoming. Excel labs will be completed outside class, generally speaking. Students may use any of the open math labs such as MATH 206 or CRSC 190.
In general there will be a short in-class quiz once per week, generally on
Friday, each one worth 5 points each. There are intended to give you some idea of the kinds of questions to except on forthcoming exams, and to give you some idea of how I might ask questions different from/similar to the textbook. While more than 50 points will be theoretically available to account for missed quizzes, no more than 50 points may count toward the final course grade. Missed quizzes cannot be made up.
Help with the material is available during my posted office hours, by appointment, or by email. You may also visit the Math Lab in Library
102 for additional assistance. It is recommended that you seek out help early and often rather than wait until you are in a hole difficult to climb out of.
Notice of Nondiscrimination: AACC is an equal opportunity, affirmative action, Title IX, ADA Title 504 compliant institution. Call Disability
Support Services, 410-777-2306 or Maryland Relay 711, 72 hours in advance to request most accommodations. Requests for sign language interpreters, alternative format books or assistive technology require
30 days’ notice. For information on AACC’s compliance and complaints concerning sexual assault, sexual misconduct, discrimination or harassment, contact the federal compliance officer and Title IX coordinator at 410-777-1239, complianceofficer@aacc.edu
or
Maryland Relay 711.
The Disability Support Services Office is located in SSVC room 200
(Student Services Building). Appropriate and reasonable academic accommodations will be provided to all qualified individuals.
Confirmation of disability will be required. For further information, refer to the College Catalog.
Note that accommodations granted in the middle of the semester will not go into effect retroactively, so it is important to go through the proper channels as early as possible.
TECHNOLOGY IN THE
CLASSROOM
WEATHER POLICY
ACADEMIC INTEGRITY
Please turn off all cell phones and other electronic devices while in class. Use of these items is strictly forbidden during tests. If you wish to use a tablet or laptop for note-taking, you may ask permission to do so, but do not abuse the privilege by listening to music, watching videos, checking Facebook, or other non-class-related activities while class is going on. It is distracting to other students, and I will rescind permission to use your device in class if a student cannot stay on task.
Calculators on phones and tablets are okay to use during in-class activities and for homework, however, they will not be permitted during in-class quizzes or during tests. Do not count on me having a spare for you to borrow.
If the college is officially closed for any reason, the activities and material scheduled for the day on which the college was closed will be covered / take place during the next class meeting. This includes scheduled tests.
Unless otherwise announced online homework due dates will still be in effect as officially scheduled. Sign up for emergency alert text messages at www.aacc.edu/stayinformed .
Academic honesty is expected at all times from all AACC students. There is never a reason to cheat, facilitate, plagiarize or otherwise not show integrity. Behavior violating the school’s Academic Integrity Policy will result in severe sanctions. They can range from zero points for the respective assignment/quiz/test to a failing class grade, and do not have to be limited to sanctions involving grades. Other sanctions, e. g. community service, can be imposed as well. If this is a repeat or even more severe offense, harsher penalties than failing the class may be given. Each violation of the Academic Integrity Policy will be formally put in an incident report and forwarded to the appropriate college representative. The complete academic integrity policy can be found in the online College Catalog – College Policies and Procedures – Academic
Integrity Policy.
STUDENT OPINION FORMS Toward the end of the semester you will be asked to fill out an online
Student Opinion Form to provide feedback on your learning and your instructor’s teaching concerning this course. Your responses will be anonymous and your instructor will receive the results only after submitting final grades. Your input is important because it may offer information, recommendations, or ideas to improve teaching and
learning at AACC. You can be assured that all comments will be read and taken into consideration to make this class the best it can be.
Please follow the request to participate.
If 80% of the class completes the opinion survey, everyone will get 5 bonus points.
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Week
1
2
Dates
8.24
Topics/Sections Covered
Introduction to the Course
1.1 Getting Started
8.26 1.2 Data Classification,
1.3 Process of a Statistical Study
8.28 1.4 How to Critique a Published Study
8.31 2.1 Frequency Distributions
3
4
5
9.2
9.4
9.7
9.9
9.11
9.14
9.16
9.18
9.21
2.2 Graphical Displays of Data
2.2 Graphical Displays of Data
Labor Day, no classes
2.3 Analyzing Graphs
3.1 Measures of Center,
3.2 Measures of Dispersion
3.2 Measures of Dispersion
3.3 Measures of Relative Position
12.1 Scatterplots and Correlation
Math Modeling Project Week
Comments/Due Dates
Sections 1.1-1.4
Sections 2.1, 2.2a, 2.2b
Excel Project #1
Sections 2.3, 3.1, 3.2a
Sections 3.2b, 3.3, 12.1 𝜐 𝜑 𝜒 𝜓 𝜔 𝜈 𝜉 𝜊 𝜋 𝜌 𝜎 𝜏
6
7
8
9.23
9.25
9.28
9.30
Project follow-up
12.2 Linear Regression
10.2 Review for Exam #1
10.5 Exam #1 covers Chapters 1, 2, 3 and 12
10.7 4.1 Introduction to Probability
10.9 4.2 Addition Rules for Probability
10.12 4.3 Multiplication Rules for Probability
10.14 4.4 Combinations and Permutations
10.16 4.5 Combining Probability and Counting
Techniques
10.19 5.1 Discrete Random Variables 9
10
11
12
10.21
10.23
10.26
10.28
10.30
11.2
11.4
11.6
11.9
5.2 Binomial Distribution
6.1 Introduction to the Normal
Distribution
6.2 Finding Area under a Normal
Distribution, 6.3 Finding Probability under a Normal Distribution
6.4 Finding Values of a Normally
Distributed Random Variable
Review for Exam #2
Exam #2 covers Chapters 4, 5 and 6
7.1 Introduction to the Central Limit
Theorem, 7.2 Central Limit Theorem with Means
7.3 Central Limit Theorem with
Proportions
8.1 Estimating Population Means ( 𝜎 known)
11.11
11.13
8.2 Student’s t-Distribution
8.3 Estimating Population Means ( 𝜎 unknown)
13 11.16 8.4 Estimating Population Proportions
11.18 10.1 Fundamentals of Hypothesis
11.20
Testing
10.1 Fundamentals of Hypothesis
Testing
14 11.23 10.2 Hypothesis Testing for Means ( 𝜎 known)
11.25 10.4 Hypothesis Testing for Population
Proportions
11.27
15 11.30
Thanksgiving Holiday, no classes
Article critique presentations
Excel Project #2
Section 12.2
Sections 4.1, 4.2
Section 4.3-4.5
Excel Project #3
Sections 5.1, 5.2, 6.1
Sections 6.2-6.4
Sections 7.2, 7.3
Sections 8.1, 8.3
Sections 8.4, 10.1
Sections 10.2, 10.4
Excel Project #4
12.2
12.4
16 12.11
Article critique presentations
Review for Final Exam
Final Exam, 10:15-12:15 Comprehensive, emphasizes Chapters 7, 8,
10
Final deadline for makeup/bonus homework 12.7