What is Going On in Your School? The influence of the study of plane geometry on critical thinking

1956 ◽  
Vol 49 (2) ◽  
pp. 151-153
Author(s):  
Carmen C. Massimiano

In studies that have surveyed the purposes of teaching geometry, such reasons as, “to teach the students to think logically,” and, “to understand the meaning of deductive proof,” were most frequently mentioned. In one important survey that tabulated the opinions of 500 classroom teachers concerning the important objectives of teaching geometry, the one receiving the highest rating was, “to develop the habit of clear thinking and precise expression.”

Author(s):  
Alexandra-Niculina Babii

The digital era has determined a very easy creation and propagation of fake news. As a consequence, it has become harder for people to fight this malicious phenomenon. However, the only weapon that can have results in this informational war is critical thinking. But who should use it? The creators of fake news that do this for different reasons? The social platforms that allow the circulation of fake news with ease? Mass media which does not always verify with much attention and rigour the information they spread? The Governments that should apply legal sanctions? Or the consumer that receives all the fake news, him being the final target? Even if critical thinking would be useful for every actor on fake news’ stage, the one who needs it the most is the consumer. This comes together with the big responsibility placed on his shoulders. Even if others are creating and spreading disinformation, the consumer must be aware and be careful with the information he encounters on a daily basis. He should use his reasoning and he should not believe everything just because it is on the Internet. How can he do that? Critical thinking seems to be a quite difficult tool to use, especially for non-specialized individuals. This paper’s aim is to propose a simplified model of critical thinking that can contribute to detecting fake news with the help of people’s self judgement. The model is based on theories from Informal Logic considering the structure of arguments and on Critical Discourse Analysis theories concerning the patterns found in the content of the information.


Eksponen ◽  
2019 ◽  
Vol 9 (1) ◽  
pp. 55-66
Author(s):  
Berta Apriza

Education functions to upgrading, forming, character and develop civilization nation. Having the ability to think and actions to effective and creative in the realm of abstract and concrete can be used as self development independently. Students need to armed with critical thinking skills, systematic, logical, creative, and cooperate effectively to obtain, choose, and manage an information. Mathematics learning is directed to develop critical thinking skills and discussed open and objective because mathematics having strong and structure clear and links between the concept of the one with another concept. By analyzing learning needs of mathematics, formulate and designed a learning programs, choose a strategies and evaliated them correctly to get good results. The ability critical thinking is very important in studying new matter and that known way, and learn to ask effectively and reach a conclusion consistent with the facts. Mathematic learning with problem based learning is the concept of better used activity of the student during learning. In accordance with statements from Westwood (2008: 31) stated that PBL: 1) propel oneself directly in learning, 2) prepared students to critical thinking and analytical, 3) give opportunity to students to identify, find and use numerous this approuch in should think, 4) is the learning is very closely related to the real world and motivate students, 5) involving activeness in integrating information and skills of various the discipline, and 6) knowledge and strategy by the possibility of will be maintained and tranferred to the learning situation other, improve the ability to communicate and the social skills needed to cooperation and teamwork. By chance the learning process as an alternative in solving mathematical problems with using the ability critical think an to cultivate the scientific attitude of student.


2020 ◽  
Vol 12 (33) ◽  
Author(s):  
Yudha Andana Prawira ◽  
Titim Kurnia

The National Education World is currently trying to improve the ability of its students to think critically and creatively. One of these efforts has been pursued through evaluations that also lead to critical reflection. This research is a descriptive analysis of the final semester evaluation questions that are examined from the point of view of high-level thinking [HOTS]. The reference to the HOTS criteria is that the researcher refers to the opinions of King and his friends. From the manuscript data, the issues examined are samples from the Bandung area. The results of the analysis show that 10 out of 15 HOTS ranges proposed by King are already included in the scripts made by the teachers. On the one hand, it shows the teacher's creativity in compiling questions. On the other hand, all these questions do not refer to the HOTS criteria as planned. Therefore, there is a need to increase teachers' skills in compiling scripts as HOTS. This increase can be done through teacher training.Keywords: Evaluation, HOTS, critical thinking and creativity thingking


2018 ◽  
Vol 63 (3 (249)) ◽  
pp. 39-56
Author(s):  
Antonia Sochaczewska

The paper considers the question of relationship between Bernhard Waldenfels’s phenomenology of the alien and education. In the first part it presents the character of the experience of the alien developed by the German thinker, underlining its double structure – the stage of shock and surprise with the alien and the moment of response to its “demand”, which philosopher relates to a certain sort of ethics. In the second part, the article establishes the relationship between the Waldenfels’s experience of the alien and a transformative mode of learning understood as the one that makes a place for categories of unexpected and desired in education, allows for subjectivity formation and strengthens critical thinking. The last part of the text addresses a question of the place of transformative Bildung based on Waldenfels’s phenomenological analysis of the alien in the contemporary neoliberal landscape with its shift towards functional, instrumentalist and consumer-based modes of teaching.


1955 ◽  
Vol 48 (8) ◽  
pp. 578-580
Author(s):  
Francis G. Lankford

This department of The Mathematics Teacher for October contained an article on “Helping Pupils Use Proofs of Theorems in Geometry.” There, some suggestions were given for helping pupils to understand the nature of a deductive proof and to develop the ability to prove theorems independently.


2016 ◽  
Vol 6 (1) ◽  
pp. 4-9 ◽  
Author(s):  
Carlos B. Hirschberg

This essay presents and discusses an eight-session seminar course designed to develop critical thinking skills in doctoral biochemistry students by exposing them to classical experiments in biochemistry. During each 2.5 session, different key topics of the discovery and development of biochemical concepts are discussed. Before each session, students are required to read the one or two classical papers. The size of the seminar course and the seating of the students are critical to make this a highly interactive environment for all students to participate in the critique and re-designing of key experiments, including control experiments, which helped formulate these classical concepts. Final student evaluation of the course’s goals has two equal components: Course participation and a final take home exam due two weeks after the course is completed. Together with the take home exam students are also required to write an evaluation of the course, preferably no longer than half a page. Students’ comments of the course have been uniformly positive. The author notes the sooner students are exposed to this manner of thinking, the better they will be equipped to choose an appropriate mentor and contribute creatively to attempt to solve the scientific problem of their PhD thesis.


2018 ◽  
Vol 13 (3) ◽  
pp. 77-93
Author(s):  
Mateusz Kotowski

Arguments from authority and critical thinking. Side notes toLogic and Argumentation by Andrzej KisielewiczThe article focuses on the role of arguments from authority — or, more precisely, arguments from expert opinion – in rational argumentation and reasoning, in the contemporary context of specialisation of the sciences on the one hand, and the abundance of information on the other. The pretext for this is provided by Andrzej Kisielewicz’s new book: Logika i argumentacja. Praktyczny kurs krytycznego myślenia Logic and Argumentation. A Practical Course In Critical Thinking. I point out that, although Kisielewicz’s book is a valuable contribution to the Polish market of textbooks on argumentation, practical logic and critical thinking, it understates the importance of teaching the ways of proper assessment of arguments from authority, credibility of experts and information sources. I argue that arguments from authority should not be by definition dismissed as fallacies; on the contrary, appealing to authority to expert opinion is an unavoidable element of rational argumentation – at least whenever the discussion requires one to refer to contemporary scientific knowledge. However, relying on experts’ opinions involves genuine risks to the rationality of the debate, many of them having to do with the abundance of pseudoexperts and irresponsibility on the side of some scientists an extensive example is provided by the presentation of statements on GMO’s made by a certain Polish body of scientists. Therefore, the ability to distinguish correct appeals to authority from faulty ones including the ability to tell actual experts from pseudoexperst and reliable sources of information from unreliable ones should be considered a crucial competence which critical thinking courses should teach.


2020 ◽  
Vol 3 (1) ◽  
pp. 24
Author(s):  
Ummu Khairiyah

This study aims to determine students' thinking skills (critical thinking skills) after using learning tools with a scientific approach. This study was carried out on 12 students SDN Tenggerejo 2 Kedungpring Lamongan. technique of collecting data by providing pretest and posttest questions. This study usesthe design of the one group pretest posttest. The results show that there is an increase in students' critical thinking skills after learning with a scientific approach


2017 ◽  
pp. 350-398
Author(s):  
Bartłomiej Krupa

The author discusses the most important phenomena in Polish historiography and the selected publications about the Holocaust released during 2003–2013. Similarly to ‘narrativists’, Krupa is interested in the shape, the language, the storytelling manner, and the metaphors used. Having indicated the most important scholarly centres and publications of sources, the author concentrates on the camp monographs, syntheses and regional studies produced during that period, and then concludes that most of them are written in a very traditional way. The year 2000, when [the Polish edition] of Jan Tomasz Gross’s book Neighbours was released, proved to be a breakthrough year for [Polish] historiography. Before analysing the far-reaching consequences of this publication, Krupa briefly discusses the polemics surrounding the other books by that author. On the one hand, they led to the birth of the historiographical ‘shadow cabinet’ – a mobilisation of the milieu concentrated mostly around the IPN and directed at disparaging the significance of Gross’s publications. On the other hand, the most important consequence of Gross’s critical thinking about the Polish stances was the birth of the ‘peasant trend’ in [Polish] historiography. The books by Andrzej Żbikowski, Barbara Engelking, Jan Grabowski, as well as the collective works such as Prowincja noc and Zarys krajobrazu described, in a committed and interdisciplinary way, the shameful stances of the rural community – the denunciations, rapes, and even murders of Jews, with Tadeusz Markiel’s shocking testimony holding a special place among these publications. The works that acclaim the Polish stances and stress the Polish engagement in the rescuing of Jews (particularly those published within the framework of the IPN project „INDEX – In memory of Poles murdered or prosecuted by the Nazis because of their assistance to Jews”) are to constitute a counteroffer to the critical “peasant trend” within the framework of the “shadow cabinet.” At the end of the article Krupa discusses the books that regard the unknown pages of the Holocaust history in Warsaw written by Agnieszka Haska, Barbara Engelking, Dariusz Libionka, or Libionka’s collaboration with Laurence Weinbaum, which are not revolutionary in the sphere of language but nonetheless broaden the knowledge on the Holocaust. The author ends his discussion with a reference to the monumental work Jewish Presence in Absence. The Aftermath of the Holocaust in Poland, 1944–2010, without which, just as without reflecting on the consequences of the Holocaust in general, it is impossible to understand Poles and the situation in Poland.


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