Developing Mathematical Thinking Using Codes and Ciphers

2001 ◽  
Vol 8 (1) ◽  
pp. 8-15
Author(s):  
Lisa J. Evered ◽  
Serigne Gningue

Television's Antiques Roadshow has led many Americans to seek hidden treasures at house sales and flea markets. For the teacher, a chance flea-market purchase can lead to exciting classroom activities. Our find, a 1935 Little Orphan Annie code book, opened the door to the exciting world of cryptography for urban students at School 45 in the Bronx, New York (see fig. 1).

2020 ◽  
Vol 17 (2) ◽  
pp. 203-224
Author(s):  
Sandra Stötzer ◽  
René C. Andeßner ◽  
Sarah Scheichl

AbstractThis paper offers one of the first efforts at exploring the role of charity flea markets as a fundraising practice used by nonprofits to mobilize various resources like individual and corporate in-kind giving and volunteering in an unique event setting. With the support of volunteers, nonprofits generate cash by reselling product donations and by catering. As an innovative contribution to the so far limited research on flea markets and in-kind giving, our study uses an explorative case study approach based on guided interviews with Austrian flea market operators. The purpose of the case studies is to examine the specifics, benefits, challenges, and prospects of this underexplored funding instrument. Our findings contribute to an enhanced understanding of both charity flea markets and nonprofits̕ resource management and can assist charities in processing in-kind donations effectively and sustainably.


2018 ◽  
Vol 7 (5) ◽  
pp. 42
Author(s):  
Lina Wu ◽  
Ye Li

Teaching mathematics by project-based learning (PBL) method on the use of educational technology offers an innovative teaching pedagogy at college. The “World Culture Art Created with Calculus Graphs of Equations” poster project was designed by the first author and was completed in the pilot Calculus course during the spring 2016 semester at Borough of Manhattan Community College in the City University of New York. This project was to guide students to use graphs of equations in the creation of recognizable national symbols from different countries with different cultures by the Maple technology. Students’ graphing knowledge as well as their technical Maple skills were applied in the completion of this project. Students’ creativity, freedom, and diversity in their mathematical thinking have been fostered. Students have learned that combining mathematics knowledge with technological skills can create innovation in art. The project increased students’ awareness and appreciation of multi-cultures for a diversified student body in New York. Successful project outcomes in students’ work shed light on effectiveness of this project-based learning (PBL) approach in mathematics education.


1956 ◽  
Vol 3 (3) ◽  
pp. 81-108
Author(s):  
J. Wayne Wrightstone

About ten years ago, the Mathematics Program in the elementary schools of New York City was modified so as to place an increasing emphasis on the a bility of young children to do mathematical thinking. It was assumed that children can learn to think in the abstract terms of mathematics only if they learn meaningful concepts of arithmetic, or mathematics. The mathematics to be learned must not be too difficult for pupil understanding and must not be too easy to preclude a challenge to thinking.


Author(s):  
Thaís Fernanda de Oliveira Settimy ◽  
Marcelo Almeida Bairral

A Geometria estimula a imaginação e criatividade, além de promover o desenvolvimento da representação e argumentação. No entanto, seu papel no currículo de Matemática precisa ser repensado, pois muitas aulas se atentam apenas em identificar e nomear figuras planas e no uso de figuras estáticas, sendo que as figuras tridimensionais aparecem frequentemente em nosso cotidiano. Este artigo é um recorte da pesquisa de Mestrado que analisou o aprendizado discente em atividades de Geometria Espacial, utilizando recursos variados como papel e lápis, planificações articuladas, sólidos em acrílico e um vídeo gerado a partir do software GeoGebra. A intervenção pedagógica ocorreu ao longo do ano letivo de 2017 e teve como sujeitos alunos do 6º ano do Ensino Fundamental com faixa etária entre 11 e 14 anos de uma escola pública do município de Angra dos Reis (RJ). Considerada como uma habilidade importante do pensamento matemático, a visualização consiste em um processo individual que não é inato e, portanto, precisa ser ensinado. A utilização de recursos didáticos variados em sala de aula amplia as possibilidades de estimular e enriquecer o pensamento visual particular de cada sujeito. As Descobertas, categoria discutida nesse artigo, revelaram a importância de implementar atividades em sala de aula que motivem e estimulem o aprendizado. Por meio desta categoria foi observado que os recursos utilizados permitiram explorar, movimentar e visualizar os objetos sob vários ângulos. Além disso, o diálogo sobre as ideias dos discentes favoreceu a evolução do aprendizado dos conceitos explorados e mostrou-se didaticamente importante.   Palavras-chave: Geometria Espacial. Visão Espacial. Pensamento Visual. Vistas.   Abstract Geometry stimulates imagination and creativity, in addition to promoting the development of representation and argumentation. However, its role in the Mathematics curriculum needs to be rethought, since many classes focus only on identifying and naming flat figures and the use of static figures, and three-dimensional figures often appear in our daily lives. This article is a cross-section of the Master's research that analyzed student learning in Space Geometry activities using a variety of resources such as paper and pencil, articulated plans, acrylic solids and a video generated from GeoGebra software. The pedagogical intervention took place during the academic year of 2017 and had as subjects students of the 6th year of Elementary School with age group between 11 and 14 years of a public school in the city of Angra dos Reis (RJ). Considered as an important skill in mathematical thinking, visualization consists of an individual process that is not innate and therefore needs to be taught. The use of varied didactic resources in the classroom amplifies the possibilities of stimulating and enriching the particular visual thought of each subject. Discoveries, a category discussed in this article, have revealed the importance of implementing classroom activities that motivate and stimulate learning. Through this category it was observed that the resources used allowed to explore, move and visualize the objects from various angles. In addition, the dialogue about the ideas of the students favored the evolution of the learning of the explored concepts and proved to be didactically important.   Keywords: Spatial Geometry. Spatial Vision. Visual Thinking. Views.  


Author(s):  
Kelley Buchheister ◽  
Christa Jackson ◽  
Cynthia E. Taylor

An effective mathematics program may be defined as one in which classroom teachers implement tasks and activities that allow all students opportunities to engage in high levels of mathematical thinking and reasoning (NCTM, 2014). In the chapter, we describe background information regarding the preparation of practicing and prospective teachers when implementing research-based practices in the inclusive classroom. Specifically, we provide explicit background information from the extant literature regarding: 1. Equity, 2. Universal Design for Learning, and 3. How to use games as classroom activities to promote the development of mathematical concepts, skills, and conceptual reasoning.


Author(s):  
Arua E Arua

This paper presents the views of some flea market vendors and clients, especially those whose voices are never heard, on the literacy and education issues that affect Botswana. Although small, the sample of respondents used for this study is representative of the kinds of people that populate flea markets. However, a large percentage of the respondents are male, thus indicating that male voices are dominant even in this setting. The findings of the study, which are similar to those in the literacy literature on Botswana, include the following: children lack interest in reading; parents have not been involved in their children’s reading development; and there are inadequate library and other resources to support a reading culture in Botswana. Some respondents advocate direct teaching of reading to their children, procuring reading materials for them and sending them to good private schools as ways of improving their children’s reading. Overall, the study shows that there is need to complement the top-down approach with the bottom-up approach, as there are valuable lessons policy makers can glean from canvassing the views of those in non-traditional government structures such as the flea markets.


Servis plus ◽  
2016 ◽  
Vol 10 (1) ◽  
pp. 81-88
Author(s):  
Людмила Щеглова ◽  
Lyudmila Shcheglova

Using microurbanism as a combination of approaches to the study of the city’s cultural environment at the micro level, the author examines the totality of the relations of this phenomenon of modern culture, as the popularity of flea markets, such universals of human existence, work, play, sharing, childhood. It is shown that the proliferation of flea markets in the culture of developed countries can be considered as part of the processes of aestheticization and the gamification of life, on the one hand, and puerilely culture – on the other. The article presents the description of Volgograd flea market, its social structure, and place in the urban space, the nature of communication and its inherent “atmosphere”. In the framework of the project for the study of the anthropology of things in regional culture, the author describes characteristics of relations to things at a flea market. From this point of view, the paper introduces a typology of buyers and sellers. In the article, they ask the question on necessity of the exploring of the relationship of human economic behavior with other internal properties, and social-cultural qualities consideration from the point of view of culture philosophy. The specificity of the Volgograd flea market as a form of confrontation between the global and private, social and intimate is that the city is still not ready to allocate and equip a special place for this new form of leisure and social interaction. The main thing that makes the flea market the person is able to set free a child beginning and at the same time to protest against fashion on disposable items, disposable linear relationship and the certainty of a status-situational communication. This movement of will and thoughts received the terminological designation culture “puerility”. The article is criticism of the approach that represents the phenomenon of the flea market as a “city scene”, and argues that the approach can be seen as a consequence of the process of “showisation” of contemporary culture, understood as civilizational tendency, broadcasted by media, to see the performance first of all in every phenomenon of life. Moreover, the flea market includes the performance elements of everyday life and aestheticization of life, it is not still limited to the performance of the “urban scene”.


2019 ◽  
Vol 5 (3) ◽  
pp. 370-391 ◽  
Author(s):  
Maria Gravari-Barbas ◽  
Sébastien Jacquot

Purpose The purpose of this paper is to analyze the mechanisms involved in the progressive integration of marginal and peripheral urban areas, located close to established tourist destinations, into the visited tourism perimeter, and the interplay of the supporting public and private actors. It focusses on the intertwining processes of commercial gentrification, heritagization and aestheticization of former “ordinary” or marginal areas as tools for and indications of their tourism development. It explores how the metropolitan tourism geography is progressively redesigned. Design/methodology/approach Following a comprehensive literature analysis, the Saint-Ouen flea market was selected as the object of study. The methodology is based on extensive in situ observations, a systematic analysis of the press and a corpus of tourist guides and several in-depth interviews with local public and private stakeholders. Findings This paper shows that combined public (Parisian urban and tourism stakeholders) and private interests led to the integration in the tourism perimeter of a space that was once on the margins of the tourism and metropolitan area. It highlights the mechanisms of this integration and the link between touristification, gentrification, aestheticization and artification. It was found that private investors and political decision makers regard Saint-Ouen flea market as a major opportunity for tourism and real estate development, which leads to some contradictions regarding heritage protection. Finally, it shows that market traders opposed the evolution of a commercial place into a place of symbolic consumption. At another level, it shows the stakes of tourism diversification in a metropolitan tourism destination that is characterized by overtourism. Research limitations/implications More studies are needed to identify not only the potential of flea markets to diversify tourist areas and practices, but also any potential resistance. The consequences on metropolitan tourism can be the subject of additional investigations: can this tourism diversification reduce overtourism in the centre, or is it only a diversification that functions as an additional driver of attractiveness? This research opens new perspectives on the modes of diversification (spatial and experiential) of metropolitan tourism as well as on the role that commercial changes play in these evolutions. It also makes it possible to question the modes of engagement of investors and traders in tourism. Originality/value This is an in-depth analysis of the case of Saint-Ouen flea market. The issues raised herein are applicable to similar peripheral urban areas, flea markets especially, that are rarely studied on the tourism-aestheticization-gentrification nexus. The analysis also shows the diversification of places and imaginaries of metropolitan tourism.


2018 ◽  
Vol 8 (1) ◽  
pp. 10
Author(s):  
Marilou Auxtero Pedroso Butanas ◽  
Bienvenido Masirin Butanas Jr.

The use of Fourier transform infrared spectroscopy (FTIR), scanning electron microscopy (SEM), and energy dispersive X-ray (EDX) characterizations have been indispensable techniques in distinguishing purity of the samples. These techniques give spectra that will be used to analyze the composition, morphology, purity, among others, of the material. One of its interesting applications is to assess elemental and chemical contaminations on second hand clothing. In this study, second hand (Ukay-Ukay) cotton garments from selected flea market sites in Valencia City, Bukidnon, Philippines were examined quantitatively for microbial and chemical contaminations by using FTIR, SEM, and EDX. The FTIR results obtained in both sites showed broad peaks at ~3336 cm-1 attributed to OH functional group, and absorption peaks at 2901.30 cm-1 associated to C-H bond, 1159.70 cm-1, 1107.44 cm-1 and 1053.82 cm-1 attributed to the stretches of CO bond. All of them were characteristics of cotton material. We observed degradation of the cotton material on both sites evident in the decreasing intensity of OH stretching (at peaks around ~3334 cm -1 [site A] and ~3332 cm -1 [site B]) and C-O stretching (around ~1500-1700 cm-1). These were due to the presence of microorganisms such as fungi (e.g. Aspergillus species). The degradation was also observed in the SEM results. Furthermore, peaks related to carboxylate contaminants were observed in both sites around ~1600 – 1800 cm-1 that may be caused by the exposure of the cotton garments in hydrochloric acid (HCl). In general, the characterization results on both sites indicated traces of microorganisms and that the second-hand cotton clothes were contaminated by hazardous chemicals.


2015 ◽  
Vol 7 (1) ◽  
pp. 91-121 ◽  
Author(s):  
Niklas Hansson ◽  
Helene Brembeck

Since consumer researchers started paying attention to flea markets they represent common consumer and market research objects. Arguably, in the “natural laboratory” of the flea market, researchers can observe and theorize market and consumer processes “in the wild”, as forms of direct marketing and consumption. We build on existing flea market research through adopting a circulatory approach, inspired by actor-network theory (ANT). Rather than presenting a theory of (flea) markets, ANT is useful for studying markets from the perspective of grounded market-making processes. Consumption is understood as the interplay of consumers, marketers, retailers, and a wide array of artifacts and market mediators like products, economic theories and ideas, packaging, market space (in the physical sense) and furniture, etc. Our results point out that not only does such an approach enable analysis of features commonly studied within consumer research such as calculative action and social interaction, but also issues more rarely in focus in such research, such as cognitive patterns of consumer curiosity, emotions, senses, and affect. Furthermore, even though flea markets foremost are places of commerce and exchange of second hand goods, there is a large variety of other forms of flows or circulations going on “backstage” that enable the surface phenomena of second hand consumption to come into being. Many of these circulations, we argue, are material rather than immaterial Vendor and buyer subjectivities are thus understood as outcomes of circulatory dynamism that involves a range of material and immaterial flows.


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