Cultural Forms of Number Representation Used in Oksapmin Communities

Author(s):  
Geoffrey B. Saxe
2010 ◽  
Author(s):  
Arava Y. Kallai ◽  
Andrea L. Ponting ◽  
Christian D. Schunn ◽  
Julie A. Fiez

2019 ◽  
Author(s):  
Zachary Hawes ◽  
H Moriah Sokolowski ◽  
Chuka Bosah Ononye ◽  
Daniel Ansari

Where and under what conditions do spatial and numerical skills converge and diverge in the brain? To address this question, we conducted a meta-analysis of brain regions associated with basic symbolic number processing, arithmetic, and mental rotation. We used Activation Likelihood Estimation (ALE) to construct quantitative meta-analytic maps synthesizing results from 86 neuroimaging papers (~ 30 studies/cognitive process). All three cognitive processes were found to activate bilateral parietal regions in and around the intraparietal sulcus (IPS); a finding consistent with shared processing accounts. Numerical and arithmetic processing were associated with overlap in the left angular gyrus, whereas mental rotation and arithmetic both showed activity in the middle frontal gyri. These patterns suggest regions of cortex potentially more specialized for symbolic number representation and domain-general mental manipulation, respectively. Additionally, arithmetic was associated with unique activity throughout the fronto-parietal network and mental rotation was associated with unique activity in the right superior parietal lobe. Overall, these results provide new insights into the intersection of numerical and spatial thought in the human brain.


2020 ◽  
Author(s):  
Anat Feldman ◽  
Michael Shmueli ◽  
Dror Dotan ◽  
Joseph Tzelgov ◽  
Andrea Berger

In recent years, there has been growing interest in the development of mental number line (MNL) representation examined using a number-to-position task. In the present study, we investigated the development of number representation on a 0-10 number line using a computerized version of the number-to-position task on a touchscreen, with restricted response time; 181 children from first through sixth grade were tested. We found that the pattern of estimated number position on the physical number line was best fit by the sigmoidal curve function–which was characterized by underestimation of small numbers and overestimation of large numbers–and that the breakpoint changed with age. Moreover, we found that significant developmental leaps in MNL representation occurred between the first and second grades and again between the second and third grades, which was reflected in the establishment of the right endpoint and the number 5 as anchor points, yielding a more accurate placement of other numbers along the number line.


Author(s):  
Michael Germana

Chapter 5 treats Ellison’s music criticism as an expression of his commitment to durational time and a critique of cultural forms like bebop that, in Ellison’s estimation, lend form to a discontinuous present. Rather than suggest, as many critics have, that Ellison was simply nostalgic for danceable swing music or hostile toward emerging musical forms, this chapter shows that Ellison’s primary criticism of bebop is that it formalizes a discontinuous sense of time and thereby affirms an historical view of the past structured by an analogous, sequentially static sense of time. Ellison’s problem with bebop, in other words, is neither musicological nor sociological, but temporal. Folk jazz and the blues, by contrast, affirm a durational view of time in the form of a “pocket” or groove entirely unlike the spatialized groove of history described in Invisible Man. In short, Ellison finds in musical grooves antidotes to the groove of history.


Author(s):  
Usha Iyer

Dancing Women: Choreographing Corporeal Histories of Hindi Cinema, an ambitious study of two of South Asia’s most popular cultural forms—cinema and dance—historicizes and theorizes the material and cultural production of film dance, a staple attraction of popular Hindi cinema. It explores how the dynamic figurations of the body wrought by cinematic dance forms from the 1930s to the 1990s produce unique constructions of gender, stardom, and spectacle. By charting discursive shifts through figurations of dancer-actresses, their publicly performed movements, private training, and the cinematic and extra-diegetic narratives woven around their dancing bodies, the book considers the “women’s question” via new mobilities corpo-realized by dancing women. Some of the central figures animating this corporeal history are Azurie, Sadhona Bose, Vyjayanthimala, Helen, Waheeda Rehman, Madhuri Dixit, and Saroj Khan, whose performance histories fold and intersect with those of other dancing women, including devadasis and tawaifs, Eurasian actresses, oriental dancers, vamps, choreographers, and backup dancers. Through a material history of the labor of producing on-screen dance, theoretical frameworks that emphasize collaboration, such as the “choreomusicking body” and “dance musicalization,” aesthetic approaches to embodiment drawing on treatises like the Natya Sastra and the Abhinaya Darpana, and formal analyses of cine-choreographic “techno-spectacles,” Dancing Women offers a variegated, textured history of cinema, dance, and music. Tracing the gestural genealogies of film dance produces a very different narrative of Bombay cinema, and indeed of South Asian cultural modernities, by way of a corporeal history co-choreographed by a network of remarkable dancing women.


Author(s):  
Andrew van der Vlies

This chapter considers the representation of impasse in three novels by Ingrid Winterbach, widely fêted in South Africa as one of its leading Afrikaans-language writers: Die boek van toeval en toeverlaat (2006; The Book of Happenstance, 2008); Die benederyk (2010; The Road of Excess, 2014); Die aanspraak van lewende wesens (2012; It Might Get Loud, 2015). It discusses the forms of precarious life at issue in these texts, and tests the usefulness of work by Lauren Berlant (on the ‘cruel optimism’ of neoliberal social life; on the cultural forms—including the ‘situation tragedy’—that reflect it) and David Scott (on the tragic nature of post-utopian postcolonial politics) for reading it. This chapter introduces a key concern of the book, the intertextuality through which its writers participate in local and global conversations (here involving J.M. Coetzee and Don DeLillo).


Author(s):  
Norman J. Morgenstern Horing

Focusing on systems of many identical particles, Chapter 2 introduces appropriate operators to describe their properties in terms of Schwinger’s “measurement symbols.” The latter are then factorized into “creation” and “annihilation” operators, whose fundamental properties and commutation/anticommutation relations are derived in conjunction with the Pauli exclusion principle. This leads to “second quantization” with the Hamiltonian, number, linear and angular momentum operators expressed in terms of the annihilation and creation operators, as well as the occupation number representation. Finally, the concept of coherent states, as eigenstates of the annihilation operator, having minimum uncertainty, is introduced and discussed in detail.


Author(s):  
Karl Spracklen

People listen to music in their leisure time, in leisure spaces, as a supposedly free act of agency. Yet social and cultural theorists show that leisure choices and spaces are constrained by hegemonic power, and that cultural forms such as music are products of commodification. This chapter explores these key claims for the use of music and the consumption of music in leisure spaces. It uses the work of Baudrillard on simulacra to explore the potential meaning and purpose of music in the lives of makers, listeners and fans—as a key device in constructing alternative hyperrealities to the capitalized reality of late modernity.


2021 ◽  
pp. 105268462199276
Author(s):  
DeMarcus A. Jenkins

This article builds from scholarship on anti-Blackness in education and spatial imaginaries in geography to theorize an anti-Black spatial imaginary as the prevailing spatial logic that has shaped the configuration and character of American social intuitions, including K-12 schools. As a spatial imaginary, anti-Blackness is circulated through discourses, images, and texts that tell a story of Blackness as a problem, non-human, and placeless. Anchored by the assumption that Black populations are spatially illegitimate, the anti-Black spatial imaginary marks Black bodies as undesirable and therefore extractable from spaces and places that have been envisioned for their exclusion. I consider schools as sites spatialized terror where the exhibitions of terror consist of forcing students to observe other Black bodies being forcibly removed from the classroom and school community; constant rejection of Black language, traditions, music preferences, and other cultural forms of expression; the obliteration of Black names and identities. I offer ways that school leaders can unsettle the anti-Black spatial imaginary to transform schools as sites of holistic healing and possibilities.


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