Syllabus MAT 500

Instructor John Wilkins Ph.D. Phones: (o) (310) 243-3380

Office: NSM A-115

FAX: (o) (310) 516-3627 E-Mail: 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, chi-squared 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 quasi-experiments

Use of large-scale databases such as TIMSS and NAEP

Use of Fathom Software to analyzed data

Evaluation:

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 on-demand 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.

Project:

Design a research study, collect data, analyze, the data, and write a report of the research.

Participation:

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!

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

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

One-sample tests for the mean

Two-sample 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 r2.

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

Week 12

Using statistics to exam large-scale Mathematics Education studies such as NAEP

Week 13

Using statistics to exam large-scale Mathematics Education studies such as TIMSS

Week 14

Evaluating current Mathematics Education Research

Week 15

Evaluating current Mathematics Education Research

Revised: 4/25/04 Page