Assessing Mathematical Knowledge in a Learning Space

2013 ◽  
pp. 27-50
Author(s):  
Eric Cosyn ◽  
Christopher Doble ◽  
Jean-Claude Falmagne ◽  
Arnaud Lenoble ◽  
Nicolas Thiéry ◽  
...  
2018 ◽  
Vol 23 (07/08) ◽  
pp. 100-101
Author(s):  
Gregor Hohenberg

Das Thema ist in aller Munde. Politiker, Ingenieure, Ärzte – alle sprechen über die Digitalisierung und über deren Folgen. Auch wenn es nach wie vor keine feste Definition gibt, was die digitale Transformation ist: Aufhalten lässt sich die Entwicklung nicht.


Author(s):  
Dubravka Glasnović Gracin

AbstractA mathematics textbook can be described as an officially authorized and pedagogically designed mathematics book written to provide mathematical knowledge to students. This description suggests the authority of the textbook - because it has been authorized by an administrative source and because it deals with authorized knowledge. This paper provides an overview of research on mathematics textbooks. The emphasis is on questions concerning the extent to which and how textbooks are used in mathematics education in Croatia and in the world.Research results show that mathematics textbooks are widely used in mathematics education worldwide. This finding points to the need for research on the content and structure of textbooks. Such studies are combined with the associated results on how textbooks are used in the classroom and which methods teachers apply in using textbooks in mathematics education. The results of the empirical studies show that teachers use textbooks for lesson preparation and pupils use mathematics textbooks for exercises to a great extent. These results imply that such an important role of textbooks in mathematics education deserves additional attention, with the goal of understanding and improving mathematics education.Key words: mathematics education; overview; research on textbook---SažetakMatematički udžbenik može se opisati kao službeno autorizirana i pedagoki osmiljena matematička knjiga napisana s ciljem da učenicima ponudi matematičke sadržaje. Taj opis sugerira autoritet udžbenika jer ga je autorizirao administrativni izvor i jer sadrži autorizirano znanje. Ovaj članak daje pregled istraživanja matematičkih udžbenika, a naglasak je na pitanjima u kojoj mjeri i kako se udžbenici koriste u nastavi matematike u Hrvatskoj i u svijetu.Rezultati raznih istraživanja pokazuju da se udžbenici u velikoj mjeri koriste u nastavi matematike irom svijeta. Taj nalaz ukazuje na potrebu za istraživanjem sadržaja i strukture matematičkih udžbenika. Uz to, prikazani su rezultati istraživanja o tome na koji se način udžbenici koriste u razredu i koje metode nastavnici prakticiraju prilikom upotrebe udžbenika na nastavi. Rezultati empirijskih studija pokazuju da nastavnici udžbenike većinom koriste za pripremu nastavnog sata, a učenici udžbenike koriste u najvećoj mjeri za vježbanje. Ti rezultati ukazuju na to da tako važna uloga udžbenika u matematičkom obrazovanju zaslužuje dodatnu pažnju s ciljem razumijevanja i poboljanja nastave matematike.Ključne riječi: istraživanje udžbenika; nastava matematike; pregled.


2020 ◽  
Vol 2020 (2) ◽  
pp. 188-193
Author(s):  
Dmytrash O ◽  

The article presents an overview and analysis of the state of research in the field of design and exploitation of modern educational spaces in universities around the world, namely areas with flexible planning, called informal learning space. According to the research conducted, the general characteristic and classification were developed and the basic principles of designing this space were revealed. The study identified several problems that arise during its exploitation, which should be taken into account in the designing process. There is described the experience of educational design of interuniversity cultural centres with the application of the developed theoretical bases of designing of informal educational space.


Author(s):  
José Ferreirós

This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, the book uses the crucial idea of a continuum to provide an account of the development of mathematical knowledge that reflects the actual experience of doing math and makes sense of the perceived objectivity of mathematical results. Describing a historically oriented, agent-based philosophy of mathematics, the book shows how the mathematical tradition evolved from Euclidean geometry to the real numbers and set-theoretic structures. It argues for the need to take into account a whole web of mathematical and other practices that are learned and linked by agents, and whose interplay acts as a constraint. It demonstrates how advanced mathematics, far from being a priori, is based on hypotheses, in contrast to elementary math, which has strong cognitive and practical roots and therefore enjoys certainty. Offering a wealth of philosophical and historical insights, the book challenges us to rethink some of our most basic assumptions about mathematics, its objectivity, and its relationship to culture and science.


Metahumaniora ◽  
2017 ◽  
Vol 7 (1) ◽  
pp. 128
Author(s):  
Dicky Rachmat Pauji

Amâlî (Imla) is a methodology used in studying Arabic language and literature that has a very wide scope. Amâlî (Imla) itself can be translated as: to dictate, to add, to fill in and etc. Amâlî (Imla) may also be interpreted further by the following narration: A teacher (ustadz) comes to a place like a mosque, an Islamic school or any learning space in general. In the process of teaching and learning, all that are spoken by the teacher is written down by the students on pieces of paper they had prepared earlier then be compiled into a book which will be preserved. This paper presents a brief summary of Amâlî (Imla) as a methodology which is discussed in many Amâlî (Imla) related literature works written from the beginning of 7th century until the 14th century. The subject Amâlî (Imla) is written in exceedingly diverse manner, unique to each of numerous known authors. This paper also discusses about various meaning of the word Amâlî (Imla) that has been interpreted differently among authors. In addition, the method of separating chapters and other minor distinct writing style that each of various groups of Amâlî (Imla) authors had developed was presented in this work. And lastly, this paper discusses the fact that Amâlî (Imla) related textbook authors were not only originated from the Middle East, but also from regions such as Iran (Huzistan) and Andalusia


Think India ◽  
2019 ◽  
Vol 22 (2) ◽  
pp. 2665-2673
Author(s):  
Parmanand Tripathi

Every teacher must realize that he/she needs to be highly motivated, committed, passionate, and optimistic towards his/her students as well as his/her teaching in order to create a positive and productive impact on the students and their learning outcomes. It is a proven fact that teachers who are sincere, caring, approachable, supportive and inspiring can easily enable their students to become enthusiastic, successful and creative learners. John Hattie, a proponent of Evidence Based Quantitative Research Methodologies on the Influences on Student achievement, who is also a Professor of Education and Director of the Melbourne Education Research Institute at the University of Melbourne, Australia, has noted in his study that a harmonious classroom can assist with the development of creativity as well as reduce anxiety levels amongst students. In my opinion, the primary objective of all effective and conscious teachers should be to promote a safe and healthy learning environment wherein students will feel confident, comfortable, happy and accepted. Time and again, I am convinced of the fact that only effective and conscious teachers understand, acknowledge and therefore, appreciate the significance of creating a rapport and bonding with their students for providing an education that is positive, productive and progressive. When teachers display a positive and congenial attitude towards their students, they not only make them ‘learn better, faster and deeper’ but make them self-confident and self-reliant too. Building positive, supportive, cooperative and mutually strong teacher-student relationships is the key to create a welcoming, healthy and conducive learning space in which students are enabled to thrive, prosper and go on to become what they are meant to be in life. And it is only by forging and nurturing a strong and positive relationship with their students, can teachers create a healthy and conducive learning atmosphere wherein students feel welcome, accepted, respected, loved and cared for, wherein learning becomes fun and joy. Conscious and committed teachers promote the art of positive parenting in every classroom and in every school to enable the students to become confident learners by willingly and happily shouldering the responsibility of being their ‘second parents’.When teachers teach with passion, display positive attitude towards their students and their success, and show genuine care for them, the students reciprocate with respect for their teachers, interest and love for their learning.


Relay Journal ◽  
2020 ◽  
pp. 66-79
Author(s):  
Mizuki Shibata ◽  
Chihiro Hayashi ◽  
Yuri Imamura

This paper reports on a case study of learner-led study-abroad events in the language learning space at a Japanese University. We present multiple reflections on the events from different perspectives: the event organizer (student), an administrative staff member, and a learning advisor working at the center. We also introduce the support system that a group of administrative staff members and learning advisors are in charge of helping learners to hold their events. Moreover, throughout our reflections, several factors that made the learner-led study-abroad events sustainable and successful are demonstrated.


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