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Learning based on inquiry and problem solving

Code: 186323
ECTS: 3.0
Lecturers in charge: prof. dr. sc. Ljiljana Arambašić - Lectures
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Lecture typeTotal
Seminar 30
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE AIMS AND OBJECTIVES: The goal of the seminar is to enable students to use heuristic strategies and methods in researching and solving problems related to high school mathematics, linear algebra and differential calculus of functions in individual and/or team work. Topics are chosen to enable students, future math teachers, to affirm problems and interests as basic principles of math teaching at all educational levels.

COURSE DESCRIPTION AND SYLLABUS:
Seminar - Inquiry based learning and problem solving will be held as active - problem solving and heuristic teaching. Students will individually and/or in groups work on given mathematical problems, present their strategies and solutions in written and oral form to other participants of the seminar, and discuss various solutions. The discussed topics will be based on high school math, linear algebra and differential calculus of functions. The work will be separated in the following phases:
1. Mathematical problems. Historical development and theoretical frame of inquiry based learning and problem solving. Guided research. Examples.
2. Research and solving the problems.
3. Presentations of results.
Literature:
  1. G. Polya: Kako riješiti matematički zadatak
  2. G. Polya: Matematičko otkriće
  3. Posamentier, S. Krulik: Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12
  4. S. G. Krantz: Techniques of Problem Solving
Prerequisit for:
Enrollment :
Passed : Analytic geometry
Passed : Introduction to mathematics
3. semester
Izborni seminar 1 - Regular study - Mathematics Education
Consultations schedule:

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