# ISSUES IN DIDACTIC OF MATHEMATICS: PROBLEM SOLVING

 Title ΘΕΜΑΤΑ ΔΙΔΑΚΤΙΚΗΣ ΤΩΝ ΜΑΘΗΜΑΤΙΚΩΝ: ΕΠΙΛΥΣΗ ΠΡΟΒΛΗΜΑΤΟΣ / ISSUES IN DIDACTIC OF MATHEMATICS: PROBLEM SOLVING Code ΕΜ70 Faculty Education School Primary Education Cycle / Level 1st / Undergraduate Teaching Period Winter/Spring Coordinator Ioannis Papadopoulos Common No Status Active Course ID 600017625

### Programme of Study: PPS Tmīmatos Dīmotikīs Ekpaídeusīs (2019-sīmera)

Registered students: 24
OrientationAttendance TypeSemesterYearECTS
KORMOSElective Courses634

 Academic Year 2023 – 2024 Class Period Spring Faculty Instructors Weekly Hours 3 Total Hours 39 Class ID 600250903

### Class Schedule

 Building School of Education (Tower Building) Floor Groundfloor Hall ΑΙΘΟΥΣΑ ΜΕΓΑΛΗ ΙΣΟΓΕΙΟΥ (174) Calendar Monday 18:00 to 21:00
Course Type 2021
Specific Foundation
Course Type 2016-2020
• Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
• Face to face
Language of Instruction
• Greek (Instruction, Examination)
Learning Outcomes
At the end the students will be able to • Understand the theory of problem solving developed by Polya • Select and apply problem solving techniques • Make and check conjectures • Develop skills in mathematical reasoning • Combine all the above-mentioned elements to create their own problem • Nurture the tendency to their students to discover mathematics through suitably designed problems
General Competences
• Apply knowledge in practice
• Retrieve, analyse and synthesise data and information, with the use of necessary technologies
• Make decisions
• Work in teams
• Generate new research ideas
• Advance free, creative and causative thinking
Course Content (Syllabus)
• What is problem. Categorization of problems. exercises vs problems. • Closed vs open-ended problems. • Polya's four steps. • Problem solving heuristics. • Mental argumentation. • Mathematical modeling. • Mathematical reasoning - proof. • Experimentation in problem solving. • The issue of control in problem solving. • Problem Posing.
Educational Material Types
• Slide presentations
• Book
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Course Teaching
• Use of ICT in Communication with Students
Description
ICT is used (a) for presenting the content of the course, and (b) for acquiring certain skills in relation to certain software used for teaching mathematics. The whole material is accessible through the e-learning platform. E-learning is also used for communicating with the students who attend the course
Course Organization
Lectures782.6
Field trips and participation in conferences / seminars / activities80.3
Written assigments80.3
Exams30.1
Total1204
Student Assessment
Description
The students’ evaluation is summative through written exams. They are asked to complete multiple choice questions, answer questions with short answers and solve problems. They know the way and criteria of the exam through both the lectures and the website of the course
Student Assessment methods
• Written Exam with Multiple Choice Questions (Summative)
• Written Exam with Short Answer Questions (Summative)
• Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
Επίλυση Προβλήματος στα Μαθηματικά (Γ. Μαμωνά-Downs & I. Παπαδόπουλος), Πανεπιστημιακές Εκδόσεις Κρήτης, 2017, Ηράκλειο. ISBN: 978-960-524-483-5