Syllabus MAT 500
Instructor John Wilkins Ph.D. Phones: (o) (310) 2433380
Office: NSM A115
FAX: (o) (310) 5163627 EMail: jwilkins@csudh.edu
Office Hours:
TTH 2:30 to 3:30, W 3:00 to 5:00 pm; and by apt.
Textbook:
Finzer, W, Erickson, T., & Binker, J. (2001). Fathom Software version 1.16. Emeryville, CA; Key Curriculum Press.
Erickson, T. (2002). Fifty Fathoms. Oakland, CA; EEPS Media.
Prerequisite
Students must have graduate standing and must have completed one year of full time secondary mathematics teaching.
Course Description:
Mathematics Education Research Design and Statistics is a practical course in research design and statistics including such topics as the normal distribution, confidence intervals, t, F, chisquared tests, linear regression and correlation, and conditional probability. These topics are presented in the context of mathematics education research in typical classrooms.
Course Outcomes:
Students will understand and apply the following:
Measures of central tendency and dispersion
Standardization of scores and the normal distribution
Confidence intervals
Statistical tests of one and two sample means
Statistical tests of one and two sample proportions
Correlation and linear regression
Research design for quasiexperiments
Use of largescale databases such as TIMSS and NAEP
Use of Fathom Software to analyzed data
Evaluation:
Grades (general meaning):
A = Meeting all goals and objectives exceeding minimum standards with excellent of work.
B = Meeting all goals and objectives exceeding minimum standards with very good quality of work.
C = Meeting all goals and objectives at minimum standards with good quality of work.
C–= Meeting most goals and objectives at minimum standards.
D = Not meeting most goals and objectives at minimum standards with poor quality work.
F = Meeting very few goals and objectives with extremely poor quality work.
Categories of assessments:
Tests (2) 25% 
Project 15% 
Final 30% 
Participation 15% 
Assignments 15% 

Scale: A≥93%; A≥90%; B+≥87%; B≥83%; B≥80; C+≥77; C≥73; C≥70;D≥60; F<60.
Tests:
Tests will be equally weighted ondemand pencil and paper assessments of student knowledge based on class discussions, class work, and assignments. Tests can be retaken for a better grade. This test can only be retaken after the student has talked with the instructor. If you do worse on the retake, no change will occur in your grade. If you achieve a higher grade on the retake, that grade will replace the lower one. This is a no lose retake test! The FINAL will be comprehensive.
Assignments:
Assignments will be given during the semester for each section in the syllabus. We will talk about most of the problems on those assignments. Work and rework the problems until you have a solution. These problems are for your thinking and learning, and I will not "grade" the homework per se, but you will submit the homework one week after the conclusion of each chapter. We will discuss the homework in class to a limited extent (no more than 15 minutes), on an as needed basis.
Reading Review Assignment:
Additionally, you will be assigned readings. A one page writeup is required for each reading assignment and will be turned in the day it is due. The reading review assignment is due when the reading is to be discussed and is listed in the calendar below. Use the following format for your writeup: List three things you've learned from the reading, your reaction to the reading, and a question you would like me (or your peers) to answer. This writeup needs to be typed, doublespaced, onepage long with oneinch borders in 12 point times or courier font.
Project:
Design a research study, collect data, analyze, the data, and write a report of the research.
Participation:
Attendance is required. If difficulties or emergencies arise, please contact me as soon as possible. You can call my office voice mail anytime to leave a message.
Academic Integrity: CSUDH expects students, staff, faculty, and administrators to show mutual respect and to adhere to scholastic honesty in the pursuit of intellectual, social and personal advancement. As an institution, CSUDH deplores cheating, fraud, plagiarism and any other type of academic dishonesty. CSUDH reserves the right to initiate a series of disciplinary measures or sanctions to secures academic integrity as described in the CSUDH Catalog.
Pagers and Cell Phones
Pagers and mobile phones must be turned off or operate in silent mode during class hours. Under no circumstances are you to take a call during class. If the call is important, step outside the room!
Incomplete Grade (I)
A grade of Incomplete (I) may be assigned if you are unable to complete a definable portion of the class due to unforeseen circumstances. The student is responsible for applying for an Incomplete by completing the appropriate form before the week of finals. A grade of U (unauthorized incomplete) will be assigned if you did not withdraw from the course and you did not finish the course requirements.
Week 1 

Central Tendency and Spread Using Fathom Software Statistics Program Entering data Graphing data


Week 2 

Fundamental Ideas of Measurement, Reliability and Validity Using Fathom Software Statistics Program Graphing data: dot plot, histogram, box plots Using summary tables to find: mean, median, mode, standard deviation, IQR


Week 3 

Probability Distributions Using Fathom Software Statistics Program Normal distributions


Week 4 

Estimation Using Fathom Software Statistics Program Confidence intervals Estimation


Week 5 

Testing Hypotheses Using Fathom Software Statistics Program Onesample tests for the mean Twosample tests for the difference of means A test for paired samples


Week 6 

Testing Hypotheses Using Fathom Software Statistics Program Tests for proportions


Week 7 

Linear Regression and correlation Using Fathom Software Statistics Program Finding correlations Finding the regression line Finding r and r^{2}.


Week 8 

Chi Square Using Fathom Software Statistics Program Tests for independence Tests for goodness of fit


Week 9 

Analysis of variance Using Fathom Software Statistics Program ANOVA


Week 10 

Nonparametric Tests Using Fathom Software Statistics Program Sign test Spearman test of rank correlation


Week 11 

Research Design in Mathematics Education


Week 12 

Using statistics to exam largescale Mathematics Education studies such as NAEP


Week 13 

Using statistics to exam largescale Mathematics Education studies such as TIMSS


Week 14 

Evaluating current Mathematics Education Research


Week 15 

Evaluating current Mathematics Education Research

Revised: