Recording Student Thinking in a Mathematics Discussion

2021 ◽  
Vol 114 (12) ◽  
pp. 926-932

Representing and recording student thinking in public spaces during mathematics discussions is challenging work. We share principles for recording student thinking in the moment and share an activity for improving your recording practice.

2018 ◽  
Vol 8 (4) ◽  
pp. 125-132
Author(s):  
Svetlana G. MALYSHEVA ◽  
Elena V. SHLIENKOVA

The architectural and planning features of wooden fortresses of the city of Samara, built next to each other with a time interval of 120 years, are considered. The origins of one of the unique spatial characteristics of Samara, a special historical code of development of its territory, are analyzed, when at each new stage of development in the city a new center was formed with a consistent movement higher and higher along the watershed from the arrow of the Volga and Samara rivers. The emergence of this spatial expansion is justifi ed by the construction of a second wooden fortress as a new urban center, but not in the place of the burnt fi rst fortress, but in the neighboring territory after 200 m. Since at the moment both fortresses have not survived, with the exception of basement fragments , the authors analyze the possibilities of a new reading of the “memory of the place” and the restoration of the cultural and genetic code of the city that was lost in due time. The article proposes an algorithm for the development and subsequent comprehensive implementation of the historical and cultural strategy of urban development, based on the creation of unique models of public spaces that can connect the past and the present in a new spatial paradigm. The concept of an interactive platform is considered with the aim of promoting a sociocultural project and drawing public att ention to the problem of the irretrievable loss of the historical and cultural heritage.


2007 ◽  
Vol 46 (4) ◽  
pp. 591-605
Author(s):  
Benjamin P. Bowser

Those who are French by acquisition versus French by birth now represent a new challenge to French social stratification. Do social inequalities exist based upon cultural acquisition as opposed to birth? If so, are they increasing or decreasing? For the moment there is no way to answer these questions directly. The author conducted an ethnographic study in Parisian public spaces during the winter and spring of 2005. The central hypothesis is that social divisions can be observed and even measured in public spaces if representative social behaviors are recurring. The author described four patterns of deference in public spaces that people of color who are French by acquisition give to those who are self-identified French by birth. Suggestions were made of how these observations could be confirmed or not by others.


2022 ◽  
Vol 69 (1) ◽  
Author(s):  
Omnia Mamdouh Hashem ◽  
Sherine Mohy-Eldin Wahba ◽  
Tarek Ibrahim Nasr-Eldin

AbstractThis study attempts to remedy the issue of urban voids, which are one of the possible choices for extra interactive spaces. As a city with a great civilization history, Egypt is also home to many urban voids, mainly buffer zones. This generates the research problem that urban voids result from managing isolated planning sites irrespective of the context and away from the community. Few studies tackled the impact of public spaces on city life; they were mainly theoretically oriented and focused on piazzas without highlighting other spaces or conducting empirical investigations. The study determines that voids could be a testing ground to establish a framework of how these spaces can be reused. Revitalizing urban voids goal is to reconnect these useless spaces with context, achieve users’ needs, integrate technologies with the space to revitalize the city, and increase its income through combining theoretical findings, empirical study, and questionnaires, which generate a framework that helps the planners and designers in developing urban voids and maximizing its efficiency. Currently, adaptive redesign is a hot topic to discuss, and this may be the moment to realize that following the updated design components, meeting community needs, and using technology will always reinvigorate the void.


2019 ◽  
Vol 18 (2) ◽  
pp. 209-233
Author(s):  
Magda Szcześniak ◽  
Łukasz Zaremba

According to the famous statement by Robert Musil, ‘there is nothing in this world as invisible as monuments, attention runs down them without stopping for a moment.’ However, the moment when they suddenly become visible as the centre of intense social conflicts, it is difficult to believe they had been invisible for so long. This article analyses practices of contemporary iconoclastic gestures directed at monuments, examining the differences between recent iconoclastic acts in the United States and in Poland. Contrary to progressive anti-racist iconoclastic practices in the United States, the authors argue that the recent wave of attacks against monuments in Poland, connected to the state-sanctioned politics of ‘de-communization’, derives from a conservative vision of history and the public sphere. Drawing on Eve Kosofsky Sedgwick’s concept of ‘paranoid reading’, the authors show how the ‘de-communization’ project activates a particular ‘way of seeing’: paranoid looking, through which public spaces are turned into environments filled with objects that need to be suspiciously examined and assessed. The paranoid look works against the invisibility of monuments, aiming to extract objects from the landscape in order to further examine them in search of any suspicious elements – formal and stylistic features, more or less intelligible symbols and so on that will shed light on their under-acknowledged capacity for both culpability and criticality.


Author(s):  
Chris Kooloos ◽  
Helma Oolbekkink-Marchand ◽  
Saskia van Boven ◽  
Rainer Kaenders ◽  
Gert Heckman

AbstractOften, mathematics teachers do not incorporate whole-class discourse of students’ various ideas and solution methods into their teaching practice. Particularly complex is the in-the-moment decision-making that is necessary to build on students’ thinking and develop their collective construction of mathematics. This study explores the decision-making patterns of five experienced Dutch mathematics teachers during their novice attempts at orchestrating whole-class discourse concerning students’ various solution methods. Our goal has been to unpack the complexity of their in-the-moment decision-making during whole-class discourse through lesson observations and stimulated recall interviews. We investigated teacher decision-making adopting a model that combines two perspectives, namely (1) we explored student-teacher interaction with regard to building on student thinking and (2) we explored how the teachers based decisions during such interaction upon their own personal conceptions and interpretation of student thinking. During these novice attempts at orchestrating whole-class discourse, the teachers created many situations for students to articulate their thinking. We found that at certain instances, teachers’ in-the-moment decision-making resulted in opportunities to build on student thinking that were not completely seized. During such instances, the teachers’ decision-making was shaped by the teachers’ own conceptions of the relevant mathematics and by teacher conceptions that centered around student understanding and mathematical goals. Our findings suggest that teachers might be supported in their novice attempts at whole-class discourse by explicit discussion of the mathematics and of their conceptions with regard to student understanding and mathematical goals.


Author(s):  
A. Lukash ◽  
A. Panfilov

Architecture is an integral part human life. It influences the psyche and health of people, causing certain associations. Architectural objects are often captured through the lens of cameras. Selfie culture has become a powerful tool for promoting new meanings and designing modern public spaces. The need for selfie backgrounds is increasing. This encourages artists and architects to create interesting solutions for urban space. There are examples of urban street art in many cities around the world and in Russia. In Tyumen, there are memorable objects for visitors and its residents, which in turn are urban landmarks and are responsible for the strategic and economic development of the city. They are recognizable, stand out against the background of a monotonous environment and help to navigate the urban landscape. As a result of conducted research, the nformation is obtained on the most popular places for photos in the city of Tyumen. Territories can be divided into the following categories: environment, object and background. An architectural structure that meets all the criteria and is a key symbol of the city is selected from the objects considered. The selfie architecture of Tyumen is an integral part of the culture of today. However, at the moment in Tyumen there are no popular truly utilitarian spaces intended only for photos as it happens in other cities.


Author(s):  
A. V. Crewe

The high resolution STEM is now a fact of life. I think that we have, in the last few years, demonstrated that this instrument is capable of the same resolving power as a CEM but is sufficiently different in its imaging characteristics to offer some real advantages.It seems possible to prove in a quite general way that only a field emission source can give adequate intensity for the highest resolution^ and at the moment this means operating at ultra high vacuum levels. Our experience, however, is that neither the source nor the vacuum are difficult to manage and indeed are simpler than many other systems and substantially trouble-free.


Author(s):  
Burton B. Silver

Sectioned tissue rarely indicates evidence of what is probably a highly dynamic state of activity in mitochondria which have been reported to undergo a variety of movements such as streaming, divisions and coalescence. Recently, mitochondria from the rat anterior pituitary have been fixed in a variety of configurations which suggest that conformational changes were occurring at the moment of fixation. Pinocytotic-like vacuoles which may be taking in or expelling materials from the surrounding cell medium, appear to be forming in some of the mitochondria. In some cases, pores extend into the matrix of the mitochondria. In other forms, the remains of what seems to be pinched off vacuoles are evident in the mitochondrial interior. Dense materials, resembling secretory droplets, appear at the junction of the pores and the cytoplasm. The droplets are similar to the secretory materials commonly identified in electron micrographs of the anterior pituitary.


Author(s):  
J. S. Wall

The forte of the Scanning transmission Electron Microscope (STEM) is high resolution imaging with high contrast on thin specimens, as demonstrated by visualization of single heavy atoms. of equal importance for biology is the efficient utilization of all available signals, permitting low dose imaging of unstained single molecules such as DNA.Our work at Brookhaven has concentrated on: 1) design and construction of instruments optimized for a narrow range of biological applications and 2) use of such instruments in a very active user/collaborator program. Therefore our program is highly interactive with a strong emphasis on producing results which are interpretable with a high level of confidence.The major challenge we face at the moment is specimen preparation. The resolution of the STEM is better than 2.5 A, but measurements of resolution vs. dose level off at a resolution of 20 A at a dose of 10 el/A2 on a well-behaved biological specimen such as TMV (tobacco mosaic virus). To track down this problem we are examining all aspects of specimen preparation: purification of biological material, deposition on the thin film substrate, washing, fast freezing and freeze drying. As we attempt to improve our equipment/technique, we use image analysis of TMV internal controls included in all STEM samples as a monitor sensitive enough to detect even a few percent improvement. For delicate specimens, carbon films can be very harsh-leading to disruption of the sample. Therefore we are developing conducting polymer films as alternative substrates, as described elsewhere in these Proceedings. For specimen preparation studies, we have identified (from our user/collaborator program ) a variety of “canary” specimens, each uniquely sensitive to one particular aspect of sample preparation, so we can attempt to separate the variables involved.


Author(s):  
Oscar D. Guillamondegui

Traumatic brain injury (TBI) is a serious epidemic in the United States. It affects patients of all ages, race, and socioeconomic status (SES). The current care of these patients typically manifests after sequelae have been identified after discharge from the hospital, long after the inciting event. The purpose of this article is to introduce the concept of identification and management of the TBI patient from the moment of injury through long-term care as a multidisciplinary approach. By promoting an awareness of the issues that develop around the acutely injured brain and linking them to long-term outcomes, the trauma team can initiate care early to alter the effect on the patient, family, and community. Hopefully, by describing the care afforded at a trauma center and by a multidisciplinary team, we can bring a better understanding to the armamentarium of methods utilized to treat the difficult population of TBI patients.


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