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Wyświetlanie 1-4 z 4
Tytuł:
Using the graphic display calculator to motivate derivative formulas
Autorzy:
Jureczko, Joanna
Powiązania:
https://bibliotekanauki.pl/articles/749146.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
grafic calculators
properties of function
derivatives, methods of teaching, generalization
Opis:
Nowadays using graphic display calculators (GDCs) is becoming more and more popular in learning and teaching mathematics. One of the main usages of this device is to obtain a graph of almost all functions with one variable. If we have a graph of a function we can observe some special properties of the function. Graphic display calculators (even without computer algebra system (CAS)) can do even more - calculate derivative at any point and draw graphs of derivatives of the first and the second degree, find other properties of functions like: minimum, maximum, x- and y-intercepts and so on. Traditionally students are taught differentiation while using limits of functions. Hence the natural question is whether there exists another method of teaching about differentiation? The aim of this paper is to analyze attempts of teaching some aspects of differentiation with using GDC.
Źródło:
Didactica Mathematicae; 2014, 36
2353-0960
Pojawia się w:
Didactica Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Using graphic display calculator in solving some problems with polynomials
Autorzy:
Jureczko, J.
Powiązania:
https://bibliotekanauki.pl/articles/121909.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
edukacja matematyczna
nauczanie matematyki
GDC
kalkulator z wyświetlaczem graficznym
mathematical education
teaching mathematics
graphic display calculator
Opis:
A graphic display calculator (GDC) is becoming more and more popular in teaching mathematics as it is used to examine some mathematical activities of students of almost all ages. Various modes of GDC are considered to be a useful tool in understanding of particular parts of mathematics. In most cases the properties of functions are examined by observation of their graphs. However, there are some properties of the functions which one cannot see during the graphs analysis (for example properties concerning complex roots of polynomials). The aim of this paper is to analyse how 17-and-18-year-old students for whom GDC is an obligatory device can generalize some relations between polynomials and so called “shadows” of these functions. The whole paper is concerned with in investigation of properties of quadratic, cubic and quartic functions with both real and complex roots.
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2014, 19; 83-93
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Using the graphic display calculator in solving some problems concerning limits of sequences and functions
Autorzy:
Jureczko, Joanna
Powiązania:
https://bibliotekanauki.pl/articles/749380.pdf
Data publikacji:
2015
Wydawca:
Polskie Towarzystwo Matematyczne
Opis:
Limits are one of the most fundamental and important concepts of calculus, because having a proper understanding of this concept is a prerequisite for understanding such concepts as continuity, differentiation, and integration. Thus, researchers and teachers seem to outdo one another in looking for the best methods of introducing limits. One of the methods is using IT and graphic software to illustrate the idea of limits. It Seems that such a method, while useful, is overflowing with the risk of making mistakes and strengthening the improper understanding of these basic concepts. The aim of this paper is to present how students who use graphic display calculators understand the limits of sequences and functions, before introducing the theoretic and algebraic methods required for solving limits, and what dangers can be caused by using a GDC in this process.
Źródło:
Didactica Mathematicae; 2015, 37
2353-0960
Pojawia się w:
Didactica Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Can information technology change attitude of the student in the teaching of mathematics?
Autorzy:
Kowalski, J.
Powiązania:
https://bibliotekanauki.pl/articles/121815.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
edukacja matematyczna
nauczanie matematyki
technologia informatyczna
kalkulator z wyświetlaczem graficznym
zadania matematyczne
mathematical education
teaching mathematics
information technology
graphic display calculator
mathematical tasks
Opis:
The article shows a specific example of extracurricular activities conducted in secondary school, how the graphing calculator helped the first class student in learning mathematics to solve a very difficult task (math problem): How many elements has the equation: a x = log a x. The article describes the reasoning and attitude of the student who voluntarily of his own accord, inspired by other students to experiment, putting, generalizing and verifying hypotheses coped with the solution of this task. It describes the impact of this teaching mean that triggered activity and aroused student’s interest with the task on the degree of knowledge and skills in mathematics, the student’s skills in the use of mathematical language, self-reliance in solving a mathematical problem.
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2014, 19; 101-110
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-4 z 4

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