Faculty of Education · Secondary School Mathematics Education · Undergraduate
Course Objective
The aim of this course is to develop the statistical thinking and data literacy skills of prospective mathematics teachers, building upon the theoretical knowledge gained in the Probability course; to enable them to make statistical inferences about the population from a sample; to analyze real-life and educational data using appropriate descriptive and inferential statistical methods; and to interpret the obtained statistical results accurately, critically, and contextually with the support of technology.
Course Content
Statistical thinking and the statistical research process; concepts of population, sample, parameters, and statistics; data types and sampling methods; review of fundamental concepts of descriptive statistics; sampling variability and sampling distributions; the role of the Central Limit Theorem in statistical inference; standard error; point and interval estimation; confidence intervals; basic logic of hypothesis testing; null and alternative hypothesis; significance level and p-value; Type I and Type II errors; one-sample, independent sample, and paired-sample t-tests; categorical data and an introduction to the chi-square independence test; correlation and causality; simple linear regression; technology-assisted analysis, interpretation, and reporting of real datasets.
Required Resources
Akdeniz, F. Olasılık ve İstatistik, Baki Kitabevi, Adana, 1998.
Erbaş, S.O. Olasılık ve İstatistik, Ankara, 2007,2008,2011 Üçüncü baskı. Ankara. Gazi Kitabevi, 2007.
Köklü, N., Büyüköztürk, Ş. ve Bökeoğlu, Ö.Ç. (2006). Sosyal bilimler için istatistik. 2. Baskı. Pegem Yayıncılık, Ankara
Recommended Resources
Gravetter, F.J. and Wallnau, L.B. (2004). Statistics for the Behavioral Sciences. 6th edition. West Publishing Comp, USA.
Erbaş, S.O. Olasılık ve İstatistik, Ankara, 2007,2008,2011 Üçüncü baskı. Ankara. Gazi Kitabevi, 2007.
Rules
Students must have %70 attendance whole the term to be able to entered the final exam.Student must have minimum 50 point to pass the final exam
Core Area Distribution
Teaching Methods
Assessment & Evaluation
ECTS / Workload
| Activity | Quantity | Duration (h) | Total Workload |
|---|---|---|---|
| Course Duration (Including Exam Week) | 14 | 2 | 28 |
| Out of Class Study Period | 16 | 1 | 16 |
| Midterm | 1 | 4 | 4 |
| Quiz | 0 | 0 | 0 |
| Assignment | 0 | 0 | 0 |
| Practice | 0 | 0 | 0 |
| Final | 1 | 4 | 4 |
Course Schedule
| Week | Subject | Preparation |
|---|---|---|
| 1 | The process of statistical thinking and statistical research; the transition from probability to statistics. | A preliminary study on the relevant chapter |
| 2 | Population, sample, parameters and statistics; data types, sampling methods and bias. | A preliminary study on the relevant chapter |
| 3 | Review of descriptive statistics; center, spread, dispersion, and interpretation of graphs. | A preliminary study on the relevant chapter |
| 4 | Sampling variability and sampling distributions | A preliminary study on the relevant chapter |
| 5 | Central Limit Theorem and Standard Error; the role of MLT in statistical inference. | A preliminary study on the relevant chapter |
| 6 | Point estimation; parameter, estimator, and forecast. | A preliminary study on the relevant chapter |
| 7 | Confidence interval estimation and confidence intervals; confidence level and correct interpretation | A preliminary study on the relevant chapter |
| 8 | Midterm | Midterm |
| 9 | The logic behind hypothesis testing: H₀, H₁, test statistic, significance level, and p-value. | A preliminary study on the relevant chapter |
| 10 | Type I–Type II error, test power, and one-sample t-test. | A preliminary study on the relevant chapter |
| 11 | Independent and paired-sample t-tests; selecting the appropriate test. | A preliminary study on the relevant chapter |
| 12 | Introduction to categorical data, cross-tabulations, and the chi-square test of independence | A preliminary study on the relevant chapter |
| 13 | Correlation; interpretation of the correlation coefficient and the distinction between correlation and causation. | A preliminary study on the relevant chapter |
| 14 | Simple linear regression; technology-supported integrative application using real data and overall assessment. | A preliminary study on the relevant chapter |
| 15 | Preparation for Final Exam | A preliminary study on the relevant chapter |
| 16 | Final | Final Exam |