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1
Content available Remarks on solutions of equations with absolute value function
Major J., Powązka Z.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2011
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Vol. 16
249--254
EN
In this paper, we give the proposition of didactic discussion on the existence of solutions of some equations containing expressions with absolute value. We are interested in the possibility of applying the method of conceptual problem solving. Under this term we understand such a procedure, in which the solver is not limited to the automatic application of the definition of the absolute value, but he can reject some cases based on his mathematical knowledge. To do this, one must make use from various features of this concept - not only from its definition.
2
Content available Computer use in the discovery of properties of functions and their proofs
Kowalska A., Powązka Z.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2011
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Vol. 16
237--244
EN
In this paper we present the results of research which was conducted in years 2006/2007 and 2007/2008 on groups of students of Pedagogical University of Cracow. The results are related with the role of the computer in the process of solving the tasks on the functions with parameter, discovering some properties of functions, formulating statements describing observed regularity and finding the method of proof.
3
Content available remote Teachers studies students difficulties concerning the generalization of the concept of the Riemann integral
Powązka Z., Zaręba L.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2007
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Vol. 12
347-354
EN
One of the most fundamental concepts of the mathematical analysis is the Riemann integral. For a teacher of mathematics the concept of the integral is important because of the connections with the Jordan measure which is considered in the elementary geometry. Besides the Riemann integral the course of mathematical analysis includes multiple integrals, line integrals and surface integrals. In this paper we present the results of our research concerning the difficulties of students in noticing mutual connections between different kinds of integrals.
4
Content available remote Some remarks on definition of the absolute value of a real number
Major J., Powązka Z.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2007
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Vol. 12
283-288
EN
The article presents a didactic proposition of introducing the definition of the absolute value of a real number.
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