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Tytuł:
Students autoevaluation in the first year of study, especially concerning mathematical abilities
Autorzy:
Konečna, P.
Habiballa, H.
Powiązania:
https://bibliotekanauki.pl/articles/121864.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
education of mathematics
autoevaluation
mathematical abilities
edukacja matematyczna
autoewaluacja
umiejętności matematyczne
Opis:
Significant differences are observed in secondary education of mathematics in the Czech Republic. It makes significant obstacles during tertiary education studies, because many of students do not finish its first study year. Therefore there is a need to continuously evaluate their mathematic abilities and perform appropriate changes in study courses.
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2011, 16; 219-224
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Does math education in Poland teach creative thinking?
Autorzy:
Biernacki, Marek
Powiązania:
https://bibliotekanauki.pl/articles/421280.pdf
Data publikacji:
2014
Wydawca:
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:
effectiveness of mathematics education
Opis:
This work is a continuation of the article (Biernacki, Czesak 2013), which examined the most recent results (2012) of the Program for International Student Assessment. It turned out that Polish students have significantly improved their results in general subjects, but have great difficulties with creative thinking (the results are below the median). Analysis of the results of examinations in mathematics for students of the first year of two departments confirmed that students have great difficulty with problem solving. The author proposes to encourage students through the use of exercises and labs to take more time to solve tasks that require creative thinking, especially those relating to real-world problems of physics and economics.
Źródło:
Didactics of Mathematics; 2014, 11(15); 5-12
1733-7941
Pojawia się w:
Didactics of Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Is education in Poland really effective?
Autorzy:
Biernacki, Marek
Czesak-Woytala, Katarzyna
Powiązania:
https://bibliotekanauki.pl/articles/421348.pdf
Data publikacji:
2013
Wydawca:
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:
effectiveness of mathematics education
PISA – Programme for International
Student Assessment
Opis:
This paper discusses the results of the Programme for International Student Assessment and the results obtained by students of the Wroclaw University of Economics. Special emphasis was placed on mathematics. Polish students obtained much better results in the latest PISA edition in maths, science and reading when compared to previous editions and to the average results calculated for the OECD countries. Despite this fact the scores of Polish students in the Creative Problem Solving test were much worse than the average for the OECD countries. It is worth noting that the Polish education system has been undergoing dynamic changes which are correlated with political changes and with the increase of social need for participating in decision-making in the education of the young generations. Unfortunately, the pressure to achieve good results in exams means that teachers have started to teach test solving instead of problem solving. This was also shown in the edition of the PISA exam. The authors of the article propose to change the structure of the didactic process, especially at universities, in a way that would make it possible to increase the number of exercises and laboratory hours.
Źródło:
Didactics of Mathematics; 2013, 10(14); 5-18
1733-7941
Pojawia się w:
Didactics of Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Geometria kół Otta Reichela jako przykład pracy z uczniem zdolnym na lekcjach matematyki w II połowie XIX wieku
The Otto Reichels geometry of circles as an example of work with a gifted student in mathematics lessons in the second half of the 19th century
Autorzy:
Karpińska, Karolina
Klemp-Dyczek, Bogumiła
Powiązania:
https://bibliotekanauki.pl/articles/1789261.pdf
Data publikacji:
2020-12-24
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
history of mathematics education
mathematics education on the Polish
territories in the 19th c.
geometry
geometric constructions
gifted education
Otto Reichel
Opis:
Niniejszy artykuł jest poswiecony omówieniu zadan zwiazanych ze znajdowaniem miejsca geometrycznego punktów, które zostały umieszczone w artykule Beiträge für den Unterricht in der Geometrie („Przyczynki do nauczania geometrii”) Otta Reichela (Thorn, 1866), nauczyciela gimnazjum w Toruniu w latach 60. XIX wieku. Rozwiazanie wiekszosci tych zadan wykraczało poza ramy programowe wyznaczone przez ówczesne władze oswiatowe. Jest to przykład samodzielnego rozszerzenia programu nauczania matematyki przez nauczyciela w szkole dla uczniów zdolnych, w celu lepszego przygotowania młodziezy do egzaminów maturalnych, studiow uniwersyteckich oraz pózniejszej pracy zawodowej.
The paper is devoted to the discussion of the tasks related to finding the geometric locus of points. These tasks were included in the article Beiträage fäar den Unterricht in der Geometrie (“Contribution to the teaching of geometry”) by Otto Reichel (Thorn, 1866), a teacher of Torun gymnasium in the 1860s. The solution of most of these tasks went beyond the curricula determined by the then educational authorities. It is an example of self-extension of the mathematics curriculum by a teacher in a school for gifted students in order to better prepare young people for matriculation examinations, university studies, and later professional careers.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia; 2020, 12; 173-196
2080-9751
2450-341X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Leonardo Pisano called Fibonacci, between advanced mathematics, history of mathematics and mathematics education: three examples drawn from Liber Quadratorum
Od matematyki wyzszej, przez historie do dydaktyki. Trzy przykłady zaczerpniete z Liber Quadratorum Leonarda z Pizy zwanego Fibonaccim
Autorzy:
Bussotti, Paolo
Powiązania:
https://bibliotekanauki.pl/articles/1791019.pdf
Data publikacji:
2017-07-04
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
Fibonacci
Enriques
Liber Quadratorum
Paradigmatic examples
Medieval mathematics
Diophantine analysis
Lagrange
Genochhi
Number theory and mathematics education
Relation history of mathematics-mathematics education
Opis:
In this research, three problems faced by Leonardo Pisano, called Fibonacci,are dealt with. The main purpose is to show that history of mathematics can offerinteresting material for mathematics education. The approach to the use of history ofmathematics in mathematics education cannot be merely historical, but adapted to theneeds of the explanations in a classroom. In the course of this paper, the meaning ofsuch assertion will be clarified. A further purpose is a trying to explore the relationshistory of mathematics-mathematics education-advanced mathematics. Last, but notthe least, a further aim is to offer a specific series of interesting material to the teacherin order to develop stimulating lessons. The material here expounded is conceived forpupils frequenting the third and the fourth years of the high school, but, with minormodifications, it can be adapted to the fifth year of the high school and to the initialyears of the scientific faculties at the university.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia; 2015, 7; 5-25
2080-9751
2450-341X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Aparat matematyczny "De revolutionibus orbium coelestrium" Mikołaja Kopernika oraz jego recepcja w nauczaniu szkolnym realizowanym na ziemiach polskich od XVI do XXI wieku
The mathematical apparatus of Nicolaus Copernicus‘s De revolutionibus orbium coelestium and its reception in secondary school education on the Polish territories from the 16th to the 21st century
Autorzy:
Karpińska, Karolina
Powiązania:
https://bibliotekanauki.pl/articles/28825310.pdf
Data publikacji:
2023-03-15
Wydawca:
Instytut Północny im. Wojciecha Kętrzyńskiego w Olsztynie
Tematy:
Mikołaj Kopernik
trygonometria
historia matematyki
De revolutionibus
historia nauczania matematyki
Nicolaus Copernicus
trigonometry
history of mathematics
history of mathematics education
Opis:
W artykule dokonano analizy treści zawartych w rozdziałach XII, XIII i XIV pierwszej księgi „De revolutionibus orbium coelestium” Mikołaja Kopernika. Rozdziały te zawierają materiał trygonometryczny, na którym astronom oparł wszelkie rozważania dotyczące heliocentryzmu. W rozdziale XII zbudował tablice „cięciw w kole”, które dzisiaj nazwalibyśmy tablicami sinusów. W rozdziałach XIII i XIV zajął się rozwiązywaniem trójkątów płaskich i sferycznych. W niniejszym artykule ten aparat matematyczny został przeanalizowany ze współczesnego punktu widzenia, przy użyciu współczesnych oznaczeń i terminologii. Analizie została poddana recepcja matematyki Kopernika w nauczaniu szkolnym realizowanym na ziemiach polskich od XVI do XXI w.
The article analyses the contents of chapters XII, XIII and XIV of Nicolaus Copernicus’ first book De revolutionibus orbium coelestium. These chapters contain the trigonometric material on which the astronomer based all considerations about heliocentrism. In chapter XII, he built “chords of a circle” tables, which today we would call sinus tables. Chapters XIII and XIV dealt with the solution of flat and spherical triangles. In this paper, this mathematical apparatus has been analysed from a contemporary point of view, using modern symbols and terminology. The analysis was carried out on the reception of Copernicus mathematics in school teaching on the Polish territories from the 16th to the 21st century.
Źródło:
Komunikaty Mazursko-Warmińskie; 2023, 323, 4; 633-664
0023-3196
2719-8979
Pojawia się w:
Komunikaty Mazursko-Warmińskie
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
O liczbach ujemnych z perspektywy historycznej i dydaktycznej
On the Negative Numbers from the Historical and Educational Perspective
Autorzy:
Błaszczyk, Piotr
Sajka, Mirosława
Powiązania:
https://bibliotekanauki.pl/articles/1791026.pdf
Data publikacji:
2018-06-01
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
Negative numbers
History of mathematics
Mathematics education
Opis:
We identify two ways of introducing negative numbers. In the first one, a totally ordered set (L, $\prec $) is presupposed, an element 0 in L is arbitrarily taken, and a number a is negative when a 0. In the second one, a negative number is defined by the formula a + (−a) = 0. From a mathematical perspective, the first method involves the idea of a totally ordered group (G,+, 0,<), while the second one considers the idea of the algebraic group (G,+, 0) alone. Through the analysis of source texts, we show that the first model originates in John Wallis’ 1685 Treatise of Algebra, while the second one comes form the theory of polynomials, as developed by Descartesin his 1637 La Géométrie. In mathematical education, the first model is applied in the overwhelming majority. Still, we identify a theory that applies to the second model. We show how to develop it further and simplify the representation of the operation a + (−a) = 0 by turning the second modelin to a tablet game.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia; 2017, 9; 5-36
2080-9751
2450-341X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Znaczenie i możliwości kształcenia matematycznego w studiowaniu kierunków ekonomicznych
The importance and opportunities of mathematics education in the course of economics studies
Autorzy:
Dąbrowa, Maria
Powiązania:
https://bibliotekanauki.pl/articles/1790993.pdf
Data publikacji:
2017-07-05
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
mathematical culture
the usefulness of mathematics
mathematics
education
Opis:
The aims and functions of mathematics education differ depending on the level of education. Moreover, the role of mathematics itself differs depending on the domain of its application. In this paper, we focus on mathematics education in the course of economics studies. Unfortunately, while mathematical methods prove useful in building economic models and the importance is still growing, the mathematics education plays increasingly smaller role in the course of economics studies at Polish universities. In this paper, we present the results of research on determining the significance of mathematics education from the perspective of economics students and graduates, as well as lecturers of economics. We also discuss the problem of how to introduce mathematics courses into teaching economics. We conclude that the mathematical skills of economics students do not meet the prerequisites of mathematics education in economics teaching.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia; 2014, 6; 61-71
2080-9751
2450-341X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Inspiring pre-service teachers of early years education to create an inquiry environment for children to learn mathematics
Autorzy:
Bojarska-Sokołowska, Agnieszka
Powiązania:
https://bibliotekanauki.pl/articles/32443987.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Komisji Edukacji Narodowej w Krakowie
Tematy:
Mathematics education
early years mathematics
motivation of pre-
service teachers
interactive education
Opis:
The paper presents a~teaching proposal for the Mathematics Education course for university students of Education with a specialisation in Early Childhood Education, in order to motivate pre-service teachers to self-discovery and to encourage individual mathematical problem solving. The proposal was pre-tested in practice. Interactive activities were carried out in which pre-service teachers individually solved mathematical problems at thematic stations and had the opportunity to learn by manipulating objects and discovering solutions to problems. The study was conducted using an action research approach. The results of the study are described in four areas of the researcher's activity: preparing the learning environment (organising the research), observing the subjects, communicating with the subjects (interviewing the pre-service teachers) and using the results.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia; 2023, 14; 159-171
2080-9751
2450-341X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Konstruktywistyczna dydaktyka w edukacji matematycznej
Constructivist didactics in mathematics education
Autorzy:
Kalinowska-Iżykowska, Alina
Powiązania:
https://bibliotekanauki.pl/articles/1387042.pdf
Data publikacji:
2020-12-31
Wydawca:
Uniwersytet Gdański. Wydawnictwo Uniwersytetu Gdańskiego
Tematy:
didactics of mathematics
constructivism
mathematical education
Opis:
Didactics as science is a sub-discipline of paradigmatically pluralistic pedagogy. Its key categories, concepts, and relations between them are subject to changes in meaning. Constructivist mathematical education has to offer tools for a different understanding of educational phenomena. The text shows examples of significant transformations of didactic knowledge. The necessity to reconstruct how mathematical knowledge functions concerning students and teachers also implies requirement for changes in methodological assumptions. It becomes necessary to undertake qualitative research approaches to deepen the understanding of what is happening in lessons.
Źródło:
Problemy Wczesnej Edukacji; 2020, 51, 4; 114-125
1734-1582
2451-2230
Pojawia się w:
Problemy Wczesnej Edukacji
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Podręczniki do matematyki Stefana Banacha w kontekście doświadczeń szkolnych autora
Mathematics textbooks by Stefan Banach in the context of his school experiences
Autorzy:
Karpińska, Karolina
Powiązania:
https://bibliotekanauki.pl/articles/1398905.pdf
Data publikacji:
2019-06-30
Wydawca:
Polska Akademia Nauk. Instytut Historii Nauki im. Ludwika i Aleksandra Birkenmajerów
Tematy:
Stefan Banach
historia nauczania matematyki
historia matematyki
algebra
geometria
arytmetyka polityczna
matematyka finansowa
podręcznik szkolny
history of mathematics education
history of mathematics
geometry
political arithmetic
financial arithmetic
school textbook
Opis:
The aim of this paper is to analyse the content of school textbooks whose author or co-author was Stefan Banach (1892–1945), with particular attention paid to the scope of exploring equations, the method of introducing geometry to school teaching (whether to start it with discussing the basic planimetric concepts or basic stereometric concepts, or discussing them both parallelly?) and the range of political arithmetic (currently called financial arithmetic) problems. The paper examines the extent to which Banach’s textbooks were innovative in this respect. The research is based on, among others, the textbooks used by Banach as a secondary school student and the ordinances of the Polish ministry of education (Ministry of Religious Affairs and Public Education) from 1922.
Źródło:
Analecta. Studia i Materiały z Dziejów Nauki; 2019, 28, 1; 71-138
1509-0957
Pojawia się w:
Analecta. Studia i Materiały z Dziejów Nauki
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Badania stanu i potrzeb informatyzacji edukacji matematycznej uczniów niewidomych i słabowidzących w Polsce
The study on the conditions and needs for computerization of mathematics education of visually impaired students in Poland
Autorzy:
Rubin, Małgorzata
Faderewski, Marek
Mikułowski, Dariusz
Powiązania:
https://bibliotekanauki.pl/articles/425914.pdf
Data publikacji:
2015
Wydawca:
Szkoła Główna Handlowa w Warszawie
Tematy:
mathematics education
education of the visually impaired people
computerization of education
platform PlatMat
Opis:
Effective mathematics education of the visually impaired people and full accomplishment of the core curricular of this course is challenging, especially due to the current obligation of passing mathematics on a school-leaving examination. The transfer of knowledge in this field is primarily based on visual and spatial communication, which is a major barrier in the process of teaching/learning of the blind and visually impaired pupils. Research presented in this article was conducted in order to collect the specifics of teaching mathematics in Polish schools attended by visually disabled students as well as the opinions of teachers, students and their parents regarding their needs in this respect. The results confirmed the lack of friendly technologies tailored to identified needs, supporting the teaching process, including effective communication between the teacher (parent) and a student in the class (at home). Respondents' answers showed a high level of informatic culture - all use the computer, and 71% of teachers and 64% of students use it on daily basis. 90% of teachers were interested in learning about new technologies that are useful in teaching mathematics, and 79% of the students would like to use a computer, tablet or any other device to learn mathematics if properly adapted. This is a friendly environment for the development of the new assistive technologies in the field of mathematics education. One of them is an innovative educational platform PlatMat whose functional adaptation to the needs of users was obtained, among others, based on the results of this research.
Źródło:
e-mentor. Czasopismo naukowe Szkoły Głównej Handlowej w Warszawie; 2015, 1 (58); 34-40
1731-6758
1731-7428
Pojawia się w:
e-mentor. Czasopismo naukowe Szkoły Głównej Handlowej w Warszawie
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Geometria w pierwszych latach szkolnej edukacji w świetle wybranych programów nauczania i poradników metodycznych dla nauczycieli z lat 1773 – 2020
Geometry in the first years of school education in the context of selected curricula and methodological guides for teachers in the years 1773 – 2020
Autorzy:
Zambrowska, Małgorzata
Powiązania:
https://bibliotekanauki.pl/articles/1789257.pdf
Data publikacji:
2020-12-31
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
the history of teaching
geometry
mathematics education
Opis:
Currently there is little geometry content in the early years of school. In my doctoral thesis Geometry in teaching children since the times of the Commission of National Education until today. Analysis of the succession of education concepts, supervised by Prof. Edyta Gruszczyk-Kolczynska, I examined how the teaching of geometry to younger children has changed since the time of KEN. In the article, I discuss curricula and methodological guide books for teachers in terms of the geometric content they cover in the first years of school education. I focus on three periods: the second half of the 19th century, the 1920s and the 1970s. These periods stand out from the others I studied n that there was a lot of geometric content in the first years of school. However, in the first one of these, the content was mainly included in the subject “drawings”, while in the others the main aim of teaching was to develop pupils’ computational skills. To a large extent, geometry has also served this purpose.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia; 2020, 12; 250-259
2080-9751
2450-341X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Significance of the concept of quality of education for didactics of mathematics in universities in Poland
Autorzy:
Maciuk, Arkadiusz
Powiązania:
https://bibliotekanauki.pl/articles/421288.pdf
Data publikacji:
2013
Wydawca:
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:
didactics of mathematics
quality of education
higher education sector in Poland
Opis:
In the last twenty years the number of students and universities in Poland has increased more than four times. This quantitative increase has meant for the didactics of mathematics the need to reduce the level of education. Currently, this upward trend is in reverse and the higher education sector, practically in all Europe, can expect reductions. The current efforts of policy makers and academic staff are focused on improving the quality of education in order – among other reasons – to stay competitive. Shifting focus from quantity and efficiency to quality of education can be an opportunity but also a threat. The problem is how to understand the quality of education and how it can be put into pedagogical practice. Maths education has its own specific conditions. Taking them into account may result not only in improving the quality of didactics of mathematics, but more widely – improving the quality of what is understood as the process of higher education. The article gives an overview of the changes taking place in the Polish higher education sector over the last two decades and of the various definitions of the quality of education. It also presents some conclusions on the relation between the interpretation of the quality of education and didactics of mathematics.
Źródło:
Didactics of Mathematics; 2013, 10(14); 65-76
1733-7941
Pojawia się w:
Didactics of Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Zawód – nauczyciel. Silne i słabe strony programów kształcenia nauczycieli
Occupation Teacher. Strengths and Weaknesses of Teacher eEducation Programs
Autorzy:
KANDZIA, Joanna
Powiązania:
https://bibliotekanauki.pl/articles/455926.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Rzeszowski
Tematy:
dydaktyka matematyki
edukacja matematyczna
matematyka
szkolna
metody nauczania
nauczyciel matematyki
wykształcenie
zawód
teaching of mathematics
mathematics education
mathematics
school
teaching methods
teacher of mathematics
education
profession
Opis:
Na podstawie Raportu Liczą się nauczyciele o stanie edukacji 2013 opublikowanego przez Instytut Badań Edukacyjnych przedstawiono zarys drogi, jaką pokonują adepci, aby zdobyć zawód nauczyciela. W artykule wskazano na niski poziom przygotowania merytorycznego i pedagogicznego nauczycieli do tego zawodu pomimo „dobrego” (czytaj: wyższego) wykształcenia. Podkreślono słabe strony organizacji i zakresu studiów nauczycielskich. Zaproponowano możliwości poprawy aspektu dydaktycznego oraz organizacyjnego kształcenia nauczycieli.
The Institute for Educational Research published report about the state of education in 2013 – named Teachers are important. Article outlines the path that adepts must overcome to become teachers. There is pointed low level of preparation both substantial and pedagogical of teachers to the profession despite academic degree education. There are outlined weaknesses of organization and scope of the studies. It was offered opportunities to improve the educational aspect of teacher’s training and organizational solutions.
Źródło:
Edukacja-Technika-Informatyka; 2015, 6, 2; 18-23
2080-9069
Pojawia się w:
Edukacja-Technika-Informatyka
Dostawca treści:
Biblioteka Nauki
Artykuł
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