Project Assignments within Math/Geometry Courses (CROSBI ID 637507)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Beban-Brkić, Jelka ; Šimić Horvath, Marija
engleski
Project Assignments within Math/Geometry Courses
Here we deal with different approaches in solving some math/geometry tasks. Two simple examples are presented: distance from a point to a line and distance from a point to a plane. We list some of the approaches: One approach supposes the ability to find the derivative of a function of one and several variables, and a necessary and sufficient condition for extrema ; another approach is based on the Lemma: the extreme distance of a given point from a curve/plane is realized on a normal of a curve/plane which runs through the given point. Besides, one needs to be acquainted with the equation of a line in parametric form ; a third way supposes the knowledge of a scalar product and a definition of a projection of a vector to the axis determined by the vector ; tasks without using formulas can be solved constructively, using methods of descriptive geometry, etc. Students of the fourth grade of high school should be able to use each of the mentioned approaches to solve the distance from a point to a line. This applies also to students in the first year of any technical faculty in solving the distance from a point to a plane. However, we know from experience that it is not so. It is partly due to the reason some approaches to solving problems are tightly connected to the areas of mathematics which are dealt with in certain classes in high school, or some courses at the faculties. If there was more time perhaps we could use more of a “horizontal” approach to problems and thus overcome this situation. Some ideas in this regard appeared earlier in [1] and [2]. But, in view of the present curriculum we see a goal could be reached involving project based learning. Demand for different approaches to solving some math/geometry task would shift students from mere use of prepared recipes to understanding the principles of solving the problem by applying a broader idea. As project tasks, various topics could be processed in such a way. In order to help students consider such solutions, we prepared posters where different approaches are presented. The first such poster was presented at the 16th International Conference on Geometry and Graphics held in Innsbruck, Austria, in 2014. As we then announced we have continued our work the result of which we would like to shown at the 18th SEFI MWG Seminar.
mathematics education ; project based learning
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Podaci o prilogu
47-47.
2016.
objavljeno
Podaci o matičnoj publikaciji
Booklet Of Abstracts of the 18th SEFI Mathematics working Group Seminar
Alpers, Burkhard ; Dinger, Ulla ; Demlová, Marie ; Gustafsson, Tommy ; Lawson, Duncan ; Olsson-Lehtonnen, Brita ; Robinson, Carol ; Robinson, Paul ; Velichová, Daniela
Gothenburg: The Department of Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, Gothenburg, Sweden
Podaci o skupu
The 18th SEFI Mathematics working Group Seminar on Mathematics in Engineering Education
poster
27.07.2016-29.07.2016
Göteborg, Švedska