Children’s Games and Games for Children

2020 ◽  
Vol 113 (12) ◽  
pp. 983-988
Author(s):  
Nat Banting ◽  
Chad Williams

This article examines the mathematical activity of five-year-old Liam to explore the difference between the mathematics games designed for children and the children's games that emerge through playful activity. We propose that this distinction is a salient one for teachers observing mathematical play for evidence of mathematical sense making.

1998 ◽  
Vol 29 (2) ◽  
pp. 121-142 ◽  
Author(s):  
Luciano Meira

This article examines the mathematical sense-making of children as they use physical devices to learn about linear functions. The study consisted of videotaped problem-solving sessions in which pairs of 8th graders worked on linear function tasks using a winch apparatus, a device with springs, and a computerized input-output machine. The following questions are addressed: How do children make sense of physical devices designed by experts to foster mathematical learning? How does the use of such devices enable learners to access selected aspects of a mathematical domain? The concept of transparency is suggested as an index of access to knowledge and activities rather than as an inherent feature of objects. The analysis shows that transparency is a process mediated by unfolding activities and users' participation in ongoing sociocultural practices.


2019 ◽  
Vol 2 (4) ◽  
pp. 6-13
Author(s):  
Aamir Saeed ◽  
Saima Zubair

The difference between policy rhetoric of Public Private Partnership PPPs and likely outcomes of these reforms call forth a dialectic investigation of the reform-agenda processes and the actors involved in it. This paper is based on a case analysis of PPP Model of Punjab Education foundation (PEF), which was established in the wake of neo-liberalism. The Model of PPP is considered to be responsible for a mushroom growth of Private entrepreneurs for the provision of public education. The private provision of education is legitimized in the garb of efficiency, quality and access. These public private partnership reforms are dictated by the donor agencies and IFIs as the hegemonic power to remotely control the policies ultimately resulting into ideological shifts in developing countries like Pakistan. Using the sense making technique the contents of the PPP model and the underlying rationale for the inception of Punjab Education Foundation are explained in the light of the governance context of Pakistan; hence the nature of this paper is more predictive than descriptive to explain the likely and apparent repercussions of Public-Private Partnerships as a reform agenda in the education sector of Pakistan.


1979 ◽  
Vol 26 (8) ◽  
pp. 14
Author(s):  
Lloyd I. Richardson

Classroom situations that help students strengthen a mathematical skill while they are enjoying a mathematical activity should be an objective of all teachers. And yet, quite often, classroom periods devoted to maintaining mathematical skills become days devoted to dull drill. On the other hand, the mathematics lessons that students enjoy most seem to be those involving mathematics games with limited overt computations. What is needed then are games that covertly require computation.


2017 ◽  
Author(s):  
Evan Thompson ◽  
Mog Stapleton

This paper explores some of the differences between the enactive approach in cognitive science and the extended mind thesis. We review the key enactive concepts of autonomy and sense-making. We then focus on the following issues: (1) the debate between internalism and externalism about cognitive processes; (2) the relation between cognition and emotion; (3) the status of the body; and (4) the difference between ‘incorporation’ and mere ‘extension’ in the body-mind-environment relation.


Paideusis ◽  
2020 ◽  
Vol 17 (1) ◽  
pp. 35-44
Author(s):  
Dan Mellamphy ◽  
Nandita Biswas Mellamphy

Mobilizing prevalent themes in the fields of mathematics education, literary criticism, and philosophy, this paper contextualizes ‘the mathematical’, ‘mathematical thinking’, and ‘mathematical pedagogy’ with respect to ancient Greek concept of mathesis, modern notions of mathematical agency, the Keatsian concept of negative capability, and the analogy of ‘staging’ a dramatic/mathematical ‘play’. Its central claim is that mathematization is dramatization—that learning mathematics (indeed, learning to learn, which is what the Greek mathesis actually means) is an activity of setting things up and (in this ‘set’ or ‘setting’) allowing things to play out (e-ducere). Beginning with Paul Ernest’s identification of the difference between absolutism and fallibilism in the philosophy of math education, and incorporating concepts from Pythagoras, Hippasus, Heraclitus (the ‘ancients’), Descartes, Kant, Keats (the ‘moderns’), as well as Freud, Heidegger, and Badiou (‘nos prochains’, to quote Klossowski ), we argue that ‘mathematical knowledge’ cannot be understood simply within the framework of logicism, formalism, or even simply as an epistemological articulation. Rather, we endeavour to show that the process of ‘learning mathematically’ allows us to gain insight into the foundations of ‘being’ itself (i.e. ontology). Learning to learn (mathesis) proceeds, as such, by way of staging and playing-out the half-known or unknown (the ill-seen and ill-said) in the hopes of uncovering the mystery (Greek myesis) at the heart of things.


2014 ◽  
Vol 20 (4) ◽  
pp. 244-246
Author(s):  
Mary Beth Rollick

An advertisement in a local store prompted the author to create activities for the classroom that focus on sense-making and the unit being used.


2022 ◽  
Vol 53 (1) ◽  
pp. 41-64

We build on mathematicians’ descriptions of their work and conceptualize mathematics as an aesthetic endeavor. Invoking the anthropological meaning of practice, we claim that mathematical aesthetic practices shape meanings of and appreciation (or distaste) for particular manifestations of mathematics. To see learners’ spontaneous mathematical aesthetic practices, we situate our study in an informal context featuring design-centered play with mathematical objects. Drawing from video data that support inferences about children’s perspectives, we use interaction analysis to examine one child’s mathematical aesthetic practices, highlighting the emergence of aesthetic problems whose resolution required engagement in mathematics sense making. As mathematics educators seek to broaden access, our empirical findings challenge commonsense understandings about what and where mathematics is, opening possibilities for designs for learning.


Author(s):  
Elke Weissmann

Despite consumption patterns gradually changing, the notion of flow remains a key concept drawn on by scholars to understand television. As a concept, ‘flow’ is connected to an understanding of the difference of television from other media as far as the viewing experience is concerned: rather than a single film, audiences encounter a number of small units that are combined in the process of audiences’ sense making. In this understanding, ephemera become as important as programmes as they interlink to create a meaningful whole. On the other hand, John Ellis argues that the more typical form for television is actually the segment which contains a separate meaning within itself. Using an audience ethnography, this article argues that in the experience of audiences, the concepts of flow and segmentation are both in evidence. Rather than seeing them as opposing, therefore, they must be understood as complementary in order to fully account for audiences’ experiences and sense making of television.


2019 ◽  
Vol 5 (1) ◽  
pp. 76-93
Author(s):  
Hanna Meretoja

AbstractThis article analyses two major problems in the dichotomous framing of the question of whether narratives in fiction and “real life” are the same or different. The dichotomy prevents us from seeing, first, that there are both crucial similarities and differences between them and, second, that there are important similarities between variants of the “similarity approach” and the “difference approach”, both of which tend to rely on ahistorical, universalizing and empiricist-positivistic assumptions concerning factuality, raw experience and the non-referentiality of narrative fiction. The article presents as an alternative to both approaches narrative hermeneutics, which sees all narratives as culturally mediated and historically changing interpretative practices but approaches literary narratives as specific modes of making sense of the world – as ones that have truth-value on a different level than non-literary narratives. Narrative hermeneutics shares with (at least some forms of) unnatural narratology and the Örebro School a passion for the uniqueness of literary narratives, but it places the emphasis on the ability of literature to disclose the world to us in existentially charged ways that would not be otherwise culturally available – in ways that open up new possibilities of thought, action and affect.


1962 ◽  
Vol 14 ◽  
pp. 149-155 ◽  
Author(s):  
E. L. Ruskol

The difference between average densities of the Moon and Earth was interpreted in the preceding report by Professor H. Urey as indicating a difference in their chemical composition. Therefore, Urey assumes the Moon's formation to have taken place far away from the Earth, under conditions differing substantially from the conditions of Earth's formation. In such a case, the Earth should have captured the Moon. As is admitted by Professor Urey himself, such a capture is a very improbable event. In addition, an assumption that the “lunar” dimensions were representative of protoplanetary bodies in the entire solar system encounters great difficulties.


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