The Development of the Idea of Mathematical Proof: A 5-Year Case Study

1996 ◽  
Vol 27 (2) ◽  
pp. 194-214 ◽  
Author(s):  
Carolyn A. Maher ◽  
Amy M. Martino
Keyword(s):  
Small Group ◽  
Mathematical Thinking ◽  
Mathematical Proof ◽  
Individual Interview ◽  
Longitudinal Case Study ◽  
Whole Class ◽  
Mathematical Justification ◽  
Insight Into

This longitudinal case study presents a sequence of episodes that document the mathematical thinking of one child, Stephanie, over a 5-year period. Her development of the idea of mathematical justification spans grades 1–5. Stephanie worked on several combinatorics tasks in small-group, whole-class, and individual interview settings. The documented events indicate Stephanie's progress in classifying, organizing, and reorganizing data. The study provides some significant insight into the process by which Stephanie learned to make proofs, within a setting that encouraged the development of her ideas.

De Ontwikkeling van Schrijfvaardigheid in het Fins als Vreemde Taal

2009 ◽  
Vol 81 ◽  
pp. 121-132
Author(s):  
Marianne Spoelman ◽  
Marjolijn Verspoor
Keyword(s):  
Foreign Language ◽  
Individual Variability ◽  
Dynamic Systems Theory ◽  
Longitudinal Case Study ◽  
European Languages ◽  
Complex Morphology ◽  
L2 Development ◽  
Learner Language ◽  
Insight Into

Within Dynamic Systems Theory (DST), it is assumed that differences in the degree of variability can provide insight into the process of L2 development. This longitudinal case study investigates intra-individual variability in Finnish learner language, focusing on the development of accuracy and complexity. The study involves 54 writing samples, written by a Dutch student who learned Finnish as a foreign language. Finnish, a synthetic language of the agglutinating type, is very different from Indo-European languages and well known for its complex morphology. This complex morphology was investigated for accuracy in form and use. Word-, Noun Phrase-, clause- and sentence constructions were examined for complexity. The purpose of the study was to explain the fluctuations of intra-individual variability and complex relations between variables and to detect both supportive and competitive relationships between growers in order to provide valuable insights into the dynamic processes involved in L2 development.

scholarly journals Nests, arcs and cycles in the lifespan of a studio project

Popular Music ◽  
2014 ◽  
Vol 34 (1) ◽  
pp. 67-93 ◽  
Author(s):  
Mark Slater
Keyword(s):  
Contemporary Music ◽  
Orchestral Music ◽  
Dance Music ◽  
Longitudinal Case Study ◽  
Music Production ◽  
Study Approach ◽  
Creativity Research ◽  
Insight Into ◽  
Gaining Insight

AbstractMiddlewood Sessions produced a kind of popular music that infuses the timbral aesthetics of jazz and orchestral music with the driving rhythms of dance music. This studio project, lasting for almost eight years, provided a rich resource for gaining insight into the increasingly prevalent context of the domestic project studio via a longitudinal case study approach. At the heart of this research is the desire to understand how people collaborate as part of a studio project, how people use technologies to make music and how all of this unfolds over time. To tackle the question of how to understand the shattered, scattered nature of creative practices, and in extending existing creativity research, I propose three ways of thinking about time: nests, arcs and cycles. While explicating this theoretical framework, something of the specific and idiographic nature of the case study, as an example of contemporary music production, is recounted.

scholarly journals Does Vocational Education at Regular Schools Matter? – A Longitudinal Case Study of Students’ Experiences with Vocational Orientation Programs

2017 ◽  
Vol 4 (1) ◽  
pp. 218-237
Author(s):  
Sina-Mareen Köhler
Keyword(s):  
Orientation Programs ◽  
Longitudinal Case Study ◽  
Career Plans ◽  
Vocational Orientation ◽  
Transition Pathways ◽  
Socialization Agents ◽  
Insight Into ◽  
Empirical Design

This contribution presents results of a longitudinal qualitative study of young adults with different career plans and transition pathways. The central question of this study focuses on the relevance of vocational orientation programs at regular schools for young people’s career plans and transitions. The first part deals with the organization and research about vocational orientation programs. The second part begins by giving an insight into the empirical design of the longitudinal study. It then proceeds to discuss how the methodological perspective of reconstructive research can provide deeper understanding of student’s perspective. Narrative interviews are used as the basis to investigate how the socialization contexts are relevant and interconnected. Through the deeper understanding of student’s perspectives and the role of different socialization agents, it is possible to highlight the relevance of vocational orientation programs at schools. The findings could prove useful for improving vocational orientation programs at schools. Currently, such programs are disconnected from students’ everyday life and show little regard for their perspectives.

scholarly journals Locating Project Studios and Studio Projects

2016 ◽  
Vol 141 (1) ◽  
pp. 167-202
Author(s):  
Mark Slater
Keyword(s):  
Contemporary Music ◽  
Mobile Technologies ◽  
Longitudinal Case Study ◽  
Music Production ◽  
Music Making ◽  
Processing Power ◽  
Simple Question ◽  
Power Project ◽  
Insight Into

ABSTRACTVia a longitudinal case study of a studio project (Middlewood Sessions, 2004–12), this research explores processes of music-making in the increasingly prevalent context of the project studio to give an insight into contemporary music-making practices. Predicated upon technologies of decreasing size but increasing processing power, project studios represent a diversification of musical creativity in terms of the persons and locations of music production. Increasingly mobile technologies lead to increasingly mobile practices of music production, which presents a challenge to the seemingly simple question: where is the project studio? In response, I propose an ontology of project-studio music-making that sets out what conditions have to be met for location, as an active proposition, to take place.

Longitudinal case study and phenotypic multimodal characterization of McArdle disease-linked retinopathy: insight into pathomechanisms

2020 ◽  
Vol 41 (1) ◽  
pp. 73-78
Author(s):  
Veronika Vaclavik ◽  
Francine Naderi ◽  
André Schaller ◽  
Pascal Escher
Keyword(s):  
Longitudinal Case Study ◽  
Mcardle Disease ◽  
Insight Into

scholarly journals “Making meaning”: Communication between sign language users without a shared language

2015 ◽  
Vol 26 (2) ◽  
pp. 211-260 ◽  
Author(s):  
Ulrike Zeshan
Keyword(s):  
Small Group ◽  
Sign Language ◽  
Conceptual Blending ◽  
Making Meaning ◽  
Multimodal Interactions ◽  
Wide Range ◽  
Shared Language ◽  
First Time ◽  
Insight Into

AbstractIn a small group of deaf sign language users from different countries and with no shared language, the signers’ initial conversational interactions are investigated as they meet in pairs for the very first time. This case study allows for a unique insight into the initial stages of pidginisation and the conceptual processes involved. The participants use a wide range of linguistic and communicative resources, and it can be argued that they construct shared multilingual-multimodal cognitive spaces for the purpose of these conversations. This research explores the nature of these shared multilingual-multimodal spaces, how they are shaped by the signers in interaction, and how they can be understood in terms of conceptual blending. The research also focuses on the meta-linguistic skills that signers use in these multilingual-multimodal interactions to “make meaning”.

Australian midwives’ interpretation of the re-registration, recency of practice standard

2015 ◽  
Vol 39 (4) ◽  
pp. 462 ◽  
Author(s):  
Michelle Gray ◽  
Jennifer Rowe ◽  
Margaret Barnes
Keyword(s):  
Career Planning ◽  
Workforce Planning ◽  
Support Staff ◽  
Longitudinal Case Study ◽  
Regulatory Changes ◽  
Practice Standard ◽  
Conversational Interviews ◽  
The Relationship ◽  
Insight Into

Objective The aim of the present study was to investigate how midwives are responding to the changed re-registration requirements; specifically the Recency of Practice (RoP) Standard. Methods A qualitative longitudinal case study used conversational interviews conducted annually at two time phases after the introduction of national registration. Results Findings reveal that confusion has created challenges in demonstration of the RoP standard. This confusion was evident at individual and organisational levels. Conclusions Professional bodies need to support staff in this transition by providing clearer guidance that exemplifies the Nursing and Midwifery Board of Australia expectations. What is known about the topic? Impact subsequent to Australian legislative and regulatory changes affecting midwifery and nursing registration has not been examined. What does this paper add? The findings of this study provide an insight into midwives’ responses to the changed re-registration standard in Australia. What are the implications for practitioners? There appears to be a problem in the way tensions and challenges are being met; misinterpretation of the requirements has generated questions about the relationship between skills and work areas and demonstration of RoP. This may influence individual career planning and have broader workforce planning implications.

Institutional change, entrepreneuring and place: Building a Smart State

2021 ◽  
pp. 017084062110532
Author(s):  
Jonathan Staggs ◽  
April Wright ◽  
Lee Jarvis
Keyword(s):  
Institutional Change ◽  
Geographic Location ◽  
Field Change ◽  
Longitudinal Case Study ◽  
Organizational Fields ◽  
Research Production ◽  
The City ◽  
Insight Into ◽  
Over Time

We shed new light on the processes through which institutions are created and changed by investigating the question how does institutional entrepreneuring unfold in an already organized world. We conducted a longitudinal case study of the field of scientific research production in Australia, which changed over three decades through entrepreneuring processes associated with the creation of a new ‘Smart State’ place in the city of Brisbane in Queensland. A new place is a form of organizing human activity that has materiality and meaning at a specific geographic location. Our findings showed how field change was interwoven with place creation through four processes of entrepreneuring: structural emancipation, dissociating and reimagining place meanings, bricolaging of place forms, and co-evolving place identities. These entrepreneuring processes constituted the field as a flow of ‘becoming’ that spilled over into temporary and provisional settlements in local places. Our findings make important contributions through: (1) deepening understanding of how organizational fields change through multilevel, distributed, cascading and often unreflexive processes of entrepreneuring processes in an already organized world, (2) bringing attention to a relationship between institutions and place, in which place is both the medium and outcome of institutional entrepreneuring, and (3) providing new insight into embedded agency by illustrating how institutions in ‘becoming’ continually (re)produce the resources and possibilities for agency within gradual institutional change over time.

scholarly journals Accountability in Nonprofit Governance: A Process-Based Study

2017 ◽  
Vol 46 (4) ◽  
pp. 685-704 ◽  
Author(s):  
Richard Tacon ◽  
Geoff Walters ◽  
Chris Cornforth
Keyword(s):  
Nonprofit Organizations ◽  
Nonprofit Organization ◽  
Observational Research ◽  
Board Members ◽  
Longitudinal Case Study ◽  
Multiple Stakeholders ◽  
The United Kingdom ◽  
Depth Interviews ◽  
Insight Into

Accountability is a crucial element of governance. Nonprofit organizations are typically accountable to multiple stakeholders and often “do” accountability in multiple ways. But what happens when a nonprofit organization is highly dependent on a single source of funding? This article provides an empirical exploration of this issue. It draws on a longitudinal case study of one nonprofit organization in the United Kingdom that is highly dependent on a single funder to examine how accountability is constructed and enacted, with a focus on the board. It critically examines accountability processes through direct observation of board and committee meetings and in-depth interviews with board members. The analysis shows how board members work to construct broader forms of accountability beyond accountability to the funder, but then struggle to enact them. This article provides in-depth insight into the challenges that nonprofit board members face and offers a rare example of observational research on board behavior.

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