26 research outputs found
Kritički prikaz matematičkih zadataka PISA testa
No full textIn this paper, the authors deal with a critical analysis of some of the problems associated with PISA testing in mathematics. First of all, the social, economic and political circumstances of the launch of the PISA project are pointed out. This is followed by an analysis of what the authors consider as very important concepts for understanding PISA philosophy, such as applicable knowledge and problem solving in a real-life situation. We compared two different ways of defining these concepts and showed what the consequences of learning and teaching mathematics are in each of the cases. The authors present the results of the research that was conducted with mathematics teachers, as well as teachers of other subjects. The research dealt with the determination of the importance and role of the mathematical tasks of the PISA test for students’ further mathematical education. The results of the research have shown that there is a significant statistical difference between the assessment provided by the teachers who do and those who do not teach mathematics. The paper also analysed some specific tasks that the students were solving in PISA tests. The authors point out some deficiencies and inaccuracies observed in the mathematics tasks on PISA tests, as well as the weaknesses of PISA testing itself.U ovom radu autori se bave kritičkom analizom nekih problema vezanih uz PISA testiranje iz matematike. Prije svega ukazano je na društvene, ekonomske i političke okolnosti pokretanja PISA projekta. Zatim su analizirani, po mišljenju autora, vrlo važni pojmovi za razumijevanje PISA filozofije, a to su primjenjivo znanje i rješavanje problema u stvarnoj životnoj situaciji. Usporedili smo dva različita načina definiranja ovih pojmova i pokazali koje su posljedice po učenje i nastavu matematike u oba slučaja. Izložili smo rezultate istraživanja koje smo proveli s nastavnicima matematike, ali i nastavnicima drugih predmeta. Istraživanje se odnosilo na utvrđivanje značaja i uloge matematičkih zadataka PISA testa za daljnje matematičko obrazovanje učenika. Rezultati istraživanja su pokazali da postoji statistički značajna razlika između procjena nastavnika koji predaju i nastavnika koji ne predaju matematiku. U radu smo analizirali i konkretne zadatke koje su učenici rješavali na PISA testiranju. Ukazali smo na izvjesne nedostatke i nepreciznosti matematičkih zadataka PISA testova, kao i na slabosti samog PISA testiranja
Internet technologies in intranet surrounding of beginners course of mathemacs
No full textRazvoj matematike ukazuje na to da je matematičko znanje ogromno i
da se sve više uvećava. Od celokupnog znanja, samo jedan deo,
transformiše se u oblik pogodan za prenošenje učenicima. Izborom i
transformacijom matematičkih sadržaja, u oblik prihvatljiv učenicima
nastaje nastavni predmet matematika.
Temelj za učenje matematike, u osnovnoj školi predstavlja početna
nastava matematike. Najznačajnija tendencija u svetu, jeste uvođenje novih
tehnologija. Obrazovanje kao bitna ljudska delatnost mora se takođe
orjentisati na uvođenje i primenu novih tehnologija.
Najveći deo rada sadrži predlog mera za unapređenje početne
nastave matematike, kroz ispitivanje mišljenja i stavova učitelja o ulozi
i uticaju informaciono-komunikacionih tehnologija na početnu nastavu
matematike. Rad se bavi i ispitivanjem i izborom matematičkih sadržaja
raspoloživih na Internetu.The development of mathematics shows that knowledgw from this field is
huge and that it is becoming even greater. From all that knowledge just one part
can be transformed in the form suitable to be taught to students. Mathematics is
created by choosing and transforming mathematical contents in the form
acceptable to students.
The base for learning mathematics in primary schoolis the beginner’s
course of mathematics. The most significant tendency in the world is using new
technologies.Education, as important part of human life, must also be orintated on
using and applying new technologies.
The greatest part of the work consists of suggestions of measures for
the improvement of the beginners course in mathematics. We got them by asking
teachers their opinions and attitudes about the role and influence of informationalcommunication technologies on the beginners course in mathematics. The work deals with searching and choosing mathematical contents available on the
internet
Internet technologies in intranet surrounding of beginners course of mathemacs
No full textRazvoj matematike ukazuje na to da je matematičko znanje ogromno i
da se sve više uvećava. Od celokupnog znanja, samo jedan deo,
transformiše se u oblik pogodan za prenošenje učenicima. Izborom i
transformacijom matematičkih sadržaja, u oblik prihvatljiv učenicima
nastaje nastavni predmet matematika.
Temelj za učenje matematike, u osnovnoj školi predstavlja početna
nastava matematike. Najznačajnija tendencija u svetu, jeste uvođenje novih
tehnologija. Obrazovanje kao bitna ljudska delatnost mora se takođe
orjentisati na uvođenje i primenu novih tehnologija.
Najveći deo rada sadrži predlog mera za unapređenje početne
nastave matematike, kroz ispitivanje mišljenja i stavova učitelja o ulozi
i uticaju informaciono-komunikacionih tehnologija na početnu nastavu
matematike. Rad se bavi i ispitivanjem i izborom matematičkih sadržaja
raspoloživih na Internetu.The development of mathematics shows that knowledgw from this field is
huge and that it is becoming even greater. From all that knowledge just one part
can be transformed in the form suitable to be taught to students. Mathematics is
created by choosing and transforming mathematical contents in the form
acceptable to students.
The base for learning mathematics in primary schoolis the beginner’s
course of mathematics. The most significant tendency in the world is using new
technologies.Education, as important part of human life, must also be orintated on
using and applying new technologies.
The greatest part of the work consists of suggestions of measures for
the improvement of the beginners course in mathematics. We got them by asking
teachers their opinions and attitudes about the role and influence of informationalcommunication technologies on the beginners course in mathematics. The work deals with searching and choosing mathematical contents available on the
internet
A critical analysis of the pisa mathematics tasks
No full text© 2019, FACTEACHEREDUCATION. All rights reserved. In this paper, the authors deal with a critical analysis of some of the problems associated with PISA testing in mathematics. First of all, the social, economic and political circumstances of the launch of the PISA project are pointed out. This is followed by an analysis of what the authors consider as very important concepts for understanding PISA philosophy, such as applicable knowledge and problem solving in a real-life situation. We compared two different ways of defining these concepts and showed what the consequences of learning and teaching mathematics are in each of the cases. The authors present the results of the research that was conducted with mathematics teachers, as well as teachers of other subjects. The research dealt with the determination of the importance and role of the mathematical tasks of the PISA test for students’ further mathematical education. The results of the research have shown that there is a significant statistical difference between the assessment provided by the teachers who do and those who do not teach mathematics. The paper also analysed some specific tasks that the students were solving in PISA tests. The authors point out some deficiencies and inaccuracies observed in the mathematics tasks on PISA tests, as well as the weaknesses of PISA testing itself
A solution to the inverse problem for the Sturm-Liouville-type equation with a delay
No full textThe paper is devoted to study of the inverse problem of the boundary spectral assignment of the Sturm-Liouville with a delay. -y″(x) + q(x)y(α · x) = λy(x); q ∈ AC[0; π];α ∈ (0, 1] (1) with separated boundary conditions: y(0) = y(π) = 0 (2) y(0) = y′(π) = 0 (3) It is argued that if the sequence of eigenvalues is given λn(1) n and λn(2) n tasks (1-2) and (1-3) respectively, then the delay factor α ∈ (0, 1) and the potential q ∈ AC[0, π] are unambiguous. The potential q is composed by means of trigonometric Fourier coefficients. The method can be easily transferred to the case of α = 1 i.e. to the classical Sturm-Liouville problem
European Political Consciousness: Theoretical Aspect
No full textŚwiadomość polityczna jest postrzegana przez Europejczyków jako wartościowa i kognitywna percepcja życia politycznego i oznacza wprowadzenie wartości i standardów Wspólnoty Europejskiej. Autor twierdzi, że kluczowym celem polityki UE jest tworzenie tożsamości europejskiej w oparciu o ukształtowanie świadomości europejskiej. Zauważono, że dziś we współczesnej nauce o polityce nie ustalono wspólnego rozumienia terminów „polityczna świadomość społeczeństwa europejskiego” lub „polityczna świadomość europejska”. Z punktu widzenia dyskursów geograficznych, historycznych, kulturowych, społeczno-psychologicznych i politycznych oraz parametrów pojęcia „świadomość polityczna”, autor traktuje europejską świadomość polityczną jako zbiór politycznych idei, postaw i przekonań ludzkich, identyfikujących się z polityczną wspólnotą europejską oraz z europejską tożsamością.Political consciousness is perceived by the Europeans as important and cognitive perception of political life which means the introduction of proper - European Union - standards. The author argues that a key policy of the EU is to create a European identity based on the creation of a European consciousness. The author argues that in modern po- litical science there is no common understanding of the terms “political consciousness of European society” or “European political consciousness”. In defining the geographical, historical, cultural, socio-psychological and political discourse of Europe / Europeans and the parameters of the term „political consciousness”, the author treats the European political consciousness as a set of political ideas, attitudes and beliefs of people who identify themselves with the European political community and have European identity
