A Good Question Won’t Go Away: An Example of Mathematical Research

2021 ◽  
Vol 128 (1) ◽  
pp. 62-68
Author(s):  
Robert F. Brown
2020 ◽  
Vol 3 (01) ◽  
pp. 23-28
Author(s):  
Armelia Yuniani ◽  
Mutia Rahmatika ◽  
Kastari Kastari ◽  
Muhammad Ichsan ◽  
Nurmasyitah Nurmasyitah

The research aims to determine the level of difficulty and differentiation of the exam on the middle semester of the subjects of the Physics class XI MIA 3 in MAN 2 Langsa. The research method used is a descriptive quantitative method. The results showed that for the difficulty level was obtained 13 questions (43.33%) Easy, 17 questions (56.66%) Medium and 0 problem (0%) Difficult. The results of the analysis of the differentiator power about 10 questions (33.33%) Received, 16 questions (53.33%) Discarded and 4 questions (13.33%) Fixed. Overall about the middle semester exam of physics subjects in class XI MIA 3 in MAN 2 Langsa year 2018/2019 is categorized as a good question, because it has the largest percentage of difficulty level in the category of moderate problems, namely as many as 17 questions (56.66%) And the largest percentage of the differentiator's power in the category of questions received 10 questions (33.33%).


Science ◽  
1915 ◽  
Vol 41 (1047) ◽  
pp. 109-117
Author(s):  
F. Schlesinger

2009 ◽  
Vol 22 (1) ◽  
pp. 85-113 ◽  
Author(s):  
Tinne Hoff Kjeldsen

ArgumentTwo simultaneous episodes in late nineteenth-century mathematical research, one by Karl Hermann Brunn (1862–1939) and another by Hermann Minkowski (1864–1909), have been described as the origin of the theory of convex bodies. This article aims to understand and explain (1) how and why the concept of such bodies emerged in these two trajectories of mathematical research; and (2) why Minkowski's – and not Brunn's – strand of thought led to the development of a theory of convexity. Concrete pieces of Brunn's and Minkowski's mathematical work in the two episodes will, from the perspective of the above questions, be presented and analyzed with the use of the methodological framework of epistemic objects, techniques, and configurations as adapted from Hans-Jörg Rheinberger's work on empirical sciences to the historiography of mathematics by Moritz Epple. Based on detailed descriptions and a comparison of the objects and techniques that Brunn and Minkowski studied and used in these pieces it will be concluded that Brunn and Minkowski worked in different epistemic configurations, and it will be argued that this had a significant influence on the mathematics they developed for those bodies, which can provide answers to the two research questions listed above.


2021 ◽  
pp. 147787852110430
Author(s):  
Kimberly Alexander ◽  
Charles H. Gonzalez ◽  
Paul J. Vermette ◽  
Sabrina Di Marco

At the heart of the teaching practice is the art of questioning. Costa and Kallick noted that questions are the means by which insights unlock thinking. Effective questioning is essential to effective teaching. Despite this, a cohesive theory on the method of questioning has yet to be developed. A discussion of questioning is vital to moving the teaching profession forward. In this article, we propose a model of effective questioning that we see as the first step toward identifying a unifying theory of questioning. Our model contains the following three components: (1) a well-structured item (a good question), (2) clear expectations for the response (which we call ‘the five considerations’), and (3) a constructivist conversation. This work succeeds in bridging the gap between practice and theory that may otherwise limit good teachers from utilizing their questions in the most effective manner. Because of this, our model should be of use to teachers, teacher educators, professional developers, educational researchers, and theoreticians. We hope that a continued discussion of questioning ensues in all of these circles, so that our field can move closer toward the development of a theory of questioning.


2021 ◽  
Vol 27 (2) ◽  
pp. 194
Author(s):  
Joseane Marta Vian ◽  
Marli Teresinha Quartieri

Neste trabalho, teve-se por objetivo, analisar estratégias que os alunos de uma turma de 5º ano do Ensino Fundamental, utilizam ao realizar tarefas investigativas, envolvendo o cálculo de áreas e perímetros de figuras planas. Ademais procurou-se, investigar as conjecturas elaboradas por estes alunos para comparar figuras de mesma área, mas com valores de perímetros diferentes e vice-versa. Foram utilizadas as etapas propostas por Ponte, Brocardo e Oliveira (2006), para desenvolver duas tarefas envolvendo a Investigação Matemática.  Como instrumentos de coletas de dados foram utilizados diários de campo, resolução de tarefas, observações, questionários, gravação de voz e filmagens. Para a análise dos dados, optou-se pela análise descritiva, que consiste na descrição de características de determinados fenômenos. Para a resolução das tarefas investigativas propostas os alunos usaram o material concreto e o desenho. Percebeu-se que o trabalho em grupo foi produtivo, para elaboração das conjecturas e compreensão dos conceitos geométricos.


1996 ◽  
Vol 178 (2) ◽  
pp. 15-32 ◽  
Author(s):  
Albert A. Cuoco ◽  
E. Paul Goldenberg

New technology poses challenges to mathematics educators. How should the mathematics curriculum change to best make use of this new technology? Often computers are used badly, as a sort of electronic flash card, which does not make good use of the capabilities of either the computer or the learner. However, computers can be used to help students develop mathematical habits of mind and construct mathematical ides. The mathematics curriculum must be restructured to include activities that allow students to experiment and build models to help explain mathematical ideas and concepts. Technology can be used most effectively to help students gather data, and test, modify, and reject or accept conjectures as they think about these mathematical concepts and experience mathematical research.


2021 ◽  
Vol 12 (1) ◽  
pp. 193-218
Author(s):  
Eko Yulianto ◽  
Wahyudin Wahyudin ◽  
Ahmad Tafsir ◽  
Sufyani Prabawanto

Ethno-mathematical research trends pioneered by D'Ambrosio are on the rise, especially in Indonesia as a nation with high cultural diversity which has a lot of potential researches to be explored. This paper has two major objectives, first to explore the importance of the role of mathematics in the practice of Dhikr Jahar in Tariqa Qodiriyyah Naqsyabandiyyah and second to contrast the differences between mathematical phenomena and mathematical concepts in ethnomathematics research. Attempts to contrast the mathematical phenomena and mathematical concepts in ethnomathematics was expected to provide a sharper highlight in the writing of ethnomathematics research. This research used qualitative methods with two approaches, namely ethnography and phenomenology. The locations of the research are at Pondok Pesantren Suryalaya-Sirnarasa and Padepokan Talangraga Tasikmalaya with observations for 9 months in the first stage and then 6 months in the second stage. The number of respondents interviewed in this research were 48 people. Data processing was performed using the Nvivo 12 Plus. The results showed that there are many mathematical phenomena in the practice of Dhikr Jahar Ikhwan TQN. In carrying out the practice of dhikr, the Ikhwan used a mathematical concept with two events, fingers and prayer beads aids. The concept of counting in dhikr was used strictly by the Ikhwan. They believe that numbers have an important role in the quantity of dhikr. Contrasting mathematical phenomena and mathematical concepts can be done with an emic and etic approach and is expected to become an alternative style in ethnomathematics research. 


2019 ◽  
Vol 4 (3) ◽  
pp. 216
Author(s):  
Stefanus Kristiyanto ◽  
Ashadi Ashadi ◽  
Sri Yamtinah ◽  
Sri Mulyani

<p>This research aims to develop a computerized testlet assessment to measure science process skills on stoichiometry material in terms of validity, reliability, difficulty level, distinguishing features and deception indexes that meet the criteria as good assessment instruments, and can display individual profiles of science process skills students. The subject of the research trial was a grade X student of Senior High School in Boyolali. Validity test is done by content validity, criteria, and expert validation. Reliability test is done by finding the price of the reliability coefficient r. Characteristics test is done by determining the level of difficulty, distinguishing features and deception index. The profile of science process skills is determined by measuring students' mastery of the science process. The results of the research and development was declared feasible and met the criteria as a good question with a validity of questions more than 0.79 (valid), has a test reliability on the main field trials of 0.643 and 0.610 on the trial the implementation of the field is relatively high, has a distinguishing power with a percentage of 10% bad, 66.7% is sufficient, and 23.3% is good, has a difficulty level with a percentage of 20% difficult, 53.3% moderate and 26.7% easy.</p>


2019 ◽  
Vol 66 (07) ◽  
pp. 1
Author(s):  
Leslie Hogben ◽  
T. Christine Stevens

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