Information Package
baskent.edu.tr

Elementary Mathematics Education Program

EMT445

LOGICAL REASONING

Course Code
EMT445
Semester
-
Theory+Practice
3 + 0
ECTS
4
Course TypeElective Course
Course LevelBachelor's Degree
Year of Study-
Semester-
ECTS4
Name of Lecturer(s) -
Learning Outcomes

At the end of this course, the students;

  1. Approve the accuracy and validity of the inferences.
  2. Provide logical generalizations and inferences.
  3. Explain and implicate mathematical patterns and relations when analyzing a mathematical situation.
  4. Estimate the result of operations and measures using strategies such as rounding, grouping appropriate numbers, using first or last digits, or using the strategies they developed.
  5. Estimate the measures using a particular reference point.
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme ComponentsNone.
Course DescriptionThe course content includes the following topics: students are expected to defend the correctness and validity of inferences; make logical generalizations and inferences; analyze a mathematical situation or problem using mathematical patterns and relationships; and make predictions about the outcome of operations and measurements by using reasoning strategies.
Course Contents
WEEK TOPICS
1st Week Making inferences, defending their accuracy and validity
2nd Week Making inferences, defending their accuracy and validity
3rd Week Mathematical inference and proof methods
4th Week Mathematical inference and proof methods
5th Week Analyzing a mathematical situation or problem using mathematical patterns and relationships
6th Week Analyzing a mathematical situation or problem using mathematical patterns and relationships
7th Week Utilizing logical reasoning strategies such as rounding, grouping appropriate numbers, or using leading or trailing digits to support mathematical reasoning
8th Week Midterm
9th Week Making predictions about the outcome of operations and measurements using logical reasoning strategies
10th Week Making predictions about the outcome of operations and measurements using logical reasoning strategies
11th Week Making predictions about the outcome of operations and measurements using logical reasoning strategies, considering a specific reference point
12th Week Analyzing, proving, and verifying mathematical solutions using reasoning strategies in different learning areas
13th Week Analyzing, proving, and verifying mathematical solutions using reasoning strategies in different learning areas
14th Week Analyzing, proving, and verifying mathematical solutions using reasoning strategies in different learning areas
15th Week General review
Recommended or Required ReadingAskey, R. (1999). Knowing and teaching elementary mathematics. American Educator, 23, 6-13.
Eccles, P. J. (1997). An Introduction to Mathematical Reasoning: numbers, sets and functions. Cambridge University Press.
English, L. D. (Ed.). (2004). Mathematical and analogical reasoning of young learners. Routledge.
Garg, R. (2017). Mathematics and Logical Reasoning.
Nunes, T., Bryant, P., Evans, D., Bell, D., Gardner, S., Gardner, A., & Carraher, J. (2007). The contribution of logical reasoning to the learning of mathematics in primary school. British Journal of Developmental Psychology, 25(1), 147-166.
Uğurel, I., & Bukova, E. G. (2010). Matematiksel öğrenme etkinlikleri üzerine bir tartışma ve kavramsal bir çerçeve önerisi. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 39(39).
Umay, A. (2002). Öteki matematik. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 23(23).
Planned Learning Activities and Teaching Methods
  • Lecture
  • Discussion
  • Project
  • Experiment
  • Other
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 30
Assignment 1 30
Total(%) 60
Contribution of In-term Studies to Overall Grade(%) 60
Contribution of Final Examination to Overall Grade(%) 40
Total(%) 100
ECTS Allocated Based on Student Workload
Activities Quantity Duration (Hour) Total Workload (Hour)
Midterm exam 1 2 2
Preparation for Quiz
Individual or group work 13 2 26
Preparation for Final exam 1 18 18
Course hours 13 3 39
Preparation for Midterm exam 1 15 15
Laboratory (including preparation)
Final exam 1 2 2
Homework 1 18 18
Total Work Load120
Total Work Load / 30 (h)4
ECTS Credit of the Course4
Language of InstructionTurkish
Work Placement(s)No

Programme Qualifications / Learning Outcomes

LO1 LO2 LO3 LO4 LO5
K1 X X X X X
K2 X X X X X
K3
K4
K5
K6
K7 X X X X X
K8
K9
K10