Faculty of Education · Secondary School Mathematics Education · Undergraduate
Course Objective
To ensure that mathematics uses logical reasoning processes correctly and effectively by providing pre-service teachers with knowledge about inferencing, defending the validity of propositions, making generalizations, structuring strategies using logical patterns.
Course Content
To defend the accuracy and validity of inferences, to make logical generalizations and to make inferences; explain and use mathematical patterns and relationships when analyzing a mathematical situation; making estimates of the outcome of transactions and measurements using strategies such as rounding, grouping appropriate numbers, using first or last steps, or strategies developed by them; estimation of a specific reference point.
Required Resources
Bingölbali, E., Arslan, S., & Zembat, İ. Ö. (2016). Matematik Eğitiminde Teoriler.
Recommended Resources
KPSS ALES DGS Mantıksal Akıl Yürütme Ders Notları 2016
Course Learning Outcomes
- Knows the process of making inferences and reasoning.
- They make generalizations in different thinking processes.
- Analyze any mathematical situation by describing and using patterns and relationships.
- Make predictions about operations and measurements by using their own strategies.
- Prepare a micro teaching lesson project related to logical reasoning processes in secondary school mathematics.
Core Area Distribution
Teaching Methods
Assessment & Evaluation
ECTS / Workload
| Activity | Quantity | Duration (h) | Total Workload |
|---|---|---|---|
| Course Duration (Including Exam Week) | 16 | 2 | 32 |
| Out of Class Study Period | 16 | 2 | 32 |
| Midterm | 1 | 4 | 4 |
| Quiz | 0 | 0 | 0 |
| Assignment | 1 | 2 | 2 |
| Practice | 0 | 0 | 0 |
| Final | 1 | 5 | 5 |
Course Schedule
| Week | Subject | Preparation |
|---|---|---|
| 1 | Basic concepts of reasoning and types of reasoning. | Review from Related Source |
| 2 | To defend the validity and validity of the implications. | Review from Related Source |
| 3 | Making inferential generalizations and making inferences. | Review from Related Source |
| 4 | The role of patterns and relationships in reasoning. | Review from Related Source |
| 5 | Strategies used in reasoning. | Review from Related Source |
| 6 | Predictions. | Review from Related Source |
| 7 | Induction. | Review from Related Source |
| 8 | Midterm | General Repetition |
| 9 | Deduction. | Review from Related Source |
| 10 | Defective reasoning. | Review from Related Source |
| 11 | Analogy. | Review from Related Source |
| 12 | Understanding and interpreting student thinking about the subjects. | Review from Related Source |
| 13 | Examining the misconceptions and reasons of teaching numbers | Examine Thesis |
| 14 | Relationship between the subjects of daily life and other subjects | Examine Thesis |
| 15 | Relationship between the subjects of daily life and other subjects | Examine Thesis |
| 16 | Final | General repetition |