Semantic Realism

1998 ◽  
pp. 6-12 ◽  
Author(s):  
Elaine Landry
Keyword(s):  
Category Theory ◽  
Linguistic Analysis ◽  
Philosophical Study ◽  
Physical Sciences ◽  
Mathematical Concepts ◽  
Ontological Realism ◽  
Semantic Realism ◽  
And Mathematics

I argue that if we distinguish between ontological realism and semantic realism, then we no longer have to choose between platonism and formalism. If we take category theory as the language of mathematics, then a linguistic analysis of the content and structure of what we say in and about mathematical theories allows us to justify the inclusion of mathematical concepts and theories as legitimate objects of philosophical study. Insofar as this analysis relies on a distinction between ontological and semantic realism, it relies also on an implicit distinction between mathematics as a descriptive science and mathematics as a descriptive discourse. It is this latter distinction which gives rise to the tension between the mathematician qua philosopher. In conclusion, I argue that the tensions between formalism and platonism, indeed between mathematician and philosopher, arise because of an assumption that there is an analogy between mathematical talk and talk in the physical sciences.

scholarly journals You can count on your fingers: The role of fingers in early mathematical development

2018 ◽  
Vol 4 (1) ◽  
pp. 107-135 ◽  
Author(s):  
Firat Soylu ◽  
Frank K. Lester ◽  
Sharlene D. Newman
Keyword(s):  
Mathematics Education ◽  
Human Cognition ◽  
Diagnostic Tools ◽  
Mathematical Concepts ◽  
Simple Arithmetic ◽  
Road Map ◽  
Mathematics Ability ◽  
Finger Counting ◽  
Bodily Activity ◽  
And Mathematics

Even though mathematics is considered one of the most abstract domains of human cognition, recent work on embodiment of mathematics has shown that we make sense of mathematical concepts by using insights and skills acquired through bodily activity. Fingers play a significant role in many of these bodily interactions. Finger-based interactions provide the preliminary access to foundational mathematical constructs, such as one-to-one correspondence and whole-part relations in early development. In addition, children across cultures use their fingers to count and do simple arithmetic. There is also some evidence for an association between children’s ability to individuate fingers (finger gnosis) and mathematics ability. Paralleling these behavioral findings, there is accumulating evidence for overlapping neural correlates and functional associations between fingers and number processing. In this paper, we synthesize mathematics education and neurocognitive research on the relevance of fingers for early mathematics development. We delve into issues such as how the early multimodal (tactile, motor, visuospatial) experiences with fingers might be the gateway for later numerical skills, how finger gnosis, finger counting habits, and numerical abilities are associated at the behavioral and neural levels, and implications for mathematics education. We argue that, taken together, the two bodies of research can better inform how different finger skills support the development of numerical competencies, and we provide a road map for future interdisciplinary research that can yield to development of diagnostic tools and interventions for preschool and primary grade classrooms.

The Retention of Women in Science, Technology, Engineering, and Mathematics: A Framework for Persistence

2016 ◽  
Vol 5 (1) ◽  
pp. 1 ◽  
Author(s):  
Jeffry L. White ◽  
G.H. Massiha
Keyword(s):  
Conceptual Framework ◽  
Race And Ethnicity ◽  
Minority Women ◽  
Women In Science ◽  
Review Of The Literature ◽  
Physical Sciences ◽  
Science Technology ◽  
Research Questions ◽  
And Mathematics ◽  
The Many

<p>Women make up 47% of the total U.S. workforce, but are less represented in engineering, computer sciences, and the physical sciences. In addition, race and ethnicity are salient factors and minority women comprise fewer than 1 in 10 scientist or engineer. In this paper, a review of the literature is under taken that explores the many challenges women encounter when pursing a career in the sciences. It includes a review of the national landscape and discussion of the guiding general retention theories. Finally it proposes a conceptual framework for persistence and proffers a number of research questions designed to delve deeper into the under representation phenomenon.</p>

Factors Determining Attitudes Toward Arithmetic and Mathematics

1956 ◽  
Vol 3 (3) ◽  
pp. 113-116
Author(s):  
Thomas Poffenberger ◽  
Donald A. Norton
Keyword(s):  
Physical Sciences ◽  
The Government ◽  
And Mathematics ◽  
The Military ◽  
Military Services

In recent months, many scientists, educators and statesmen have referred to the alarming shortage of graduates in engineering, the physical sciences and mathematics. The shortage of persons trained in these fields is being felt in industry, the government and the military services and it is critical in education.

Some Big Ideas of Algebra in the Middle Grades

2000 ◽  
Vol 6 (1) ◽  
pp. 26-31
Author(s):  
Thomas G. Edwards
Keyword(s):  
Middle School ◽  
Middle School Teachers ◽  
Physical Sciences ◽  
Mathematical Concepts ◽  
Academic Fields ◽  
Big Ideas ◽  
Algebraic Concepts ◽  
And Algebra ◽  
Support Students ◽  
Students Success

Without question, mathematics in general, and algebra in particular, have served as “gatekeepers” to the study of other academic fields, such as engineering, the physical sciences, computer science, and medicine, as well as to increased vocational opportunities in technical support fields. As a result, middle school teachers have felt increased pressure both to teach algebraic concepts directly and to develop mathematical concepts in ways that will support students' formal study of algebra in the future. A recent call for manuscripts in Mathematics Teaching in the Middle School noted that “the rate of students' success with this subject has been linked to the careful, planned development of algebra as a way of thinking about and modeling various phenomena at every grade level” (NCTM 1999). Such a careful, planned development requires clearly identifying the “big ideas” of algebra that are appropriate to middle school.

William Hopkins and the shaping of Dynamical Geology: 1830–1860

1989 ◽  
Vol 22 (1) ◽  
pp. 27-52 ◽  
Author(s):  
Crosbie Smith
Keyword(s):  
Scientific Practice ◽  
Physical Sciences ◽  
New Era ◽  
And Mathematics ◽  
A Charge

‘Hitherto want of accuracy and definiteness have often been brought as a charge against geology, and sometimes only with too much justice’, wrote Archibald Geikie in a review of Sir Roderick Murchison's Siluria (1867). ‘We seem now to be entering, however, upon a new era, when there will be infused into geological methods and speculation, some of the precision of the exact sciences’. Geikie's judgement echoed an appeal made some thirty years earlier by William Hopkins (1793–1866) that the science of geology needed to be ‘elevated’ from a level of ‘indeterminate generalities’ to a rank among the stricter physical sciences. This paper aims to analyse, in the context of broader trends favouring measurement and mathematics in British scientific practice, Hopkins' role in the promotion of dynamical geology as a major new complement to stratigraphical geology such that, for example, in the first edition of Geikie's Textbook of Geology (1882) the dynamical and stratigraphical components each filled 376 pages.

scholarly journals Etnomatematika pada Batik Lukis Daun Singkong di Rumah Produksi Daweea Batik Bondowoso

Jurnal Elemen ◽  
2020 ◽  
Vol 6 (2) ◽  
pp. 199-210
Author(s):  
Erfan Yudianto ◽  
◽  
Susanto Susanto ◽  
Sinta Priciliya ◽  
◽  
...  
Keyword(s):  
Qualitative Research ◽  
Mathematical Concepts ◽  
Geometric Transformations ◽  
Cassava Leaves ◽  
Ethnographic Approach ◽  
The Subject ◽  
And Mathematics ◽  
Production House ◽  
The Relationship ◽  
Collection Methods

Ethnomathematics is the relationship between culture and mathematics found in society's habits, where people have unconsciously applied mathematical concepts in their culture or habits. The custom referred to in this study is what is done by batik in making one batik sheet every time. The purpose of this study was to describe ethnomathematics on cassava leaves in the production house Daweea Batik Bondowoso East Java. This research is qualitative research with an ethnographic approach. The subject of this study was the craftsmen in the Daweea Bondowoso Batik production house. Data collection methods used are observation, interviews, and documentation. The observation was carried out by the researcher himself and assisted by two observers who were provided with observation guidelines. Interviews were conducted to artisans in Daweea Bondowoso batik production house, while the documentation was carried out by the researcher himself using a camera recorder. The results of this study indicate the existence of ethnomathematics in cassava leaves batik painting. Geometry concepts or elements found include points, lines, angles, flat shapes (rectangles, squares), congruence, concordance, equations, and geometric transformations (dilation).

scholarly journals Multimodality and New Materialism in Science Learning: Exploring Insights from an Introductory Physics Lesson

2022 ◽  
Vol 25 ◽  
Author(s):  
Delia Marshall ◽  
Honjiswa Conana
Keyword(s):  
The Body ◽  
Pedagogical Practices ◽  
New Materialism ◽  
First Year ◽  
Mathematical Concepts ◽  
Theoretical Perspectives ◽  
And Mathematics ◽  
Physics Course ◽  
Mathematics And Science ◽  
Science Disciplines

Science disciplines are inherently multimodal, involving written and spoken language, bodily gestures, symbols, diagrams, sketches, simulation and mathematical formalism. Studies have shown that explicit multimodal teaching approaches foster enhanced access to science disciplines. We examine multimodal classroom practices in a physics extended curriculum programme (ECP) through the lens of new materialism. As De Freitas and Sinclair note in their book, Mathematics and the Body, there is growing research interest in embodiment in mathematics (and science) education—that is, the role played by students’ bodies, in terms of gestures, verbalisation, diagrams and their relation to the physical objects with which they interact. Embodiment can be viewed from a range of theoretical perspectives (for example, cognitive, phenomemological, or social semiotic). However, they argue that their new materialist approach, which they term “inclusive materialism”, has the potential for framing more socially just pedagogies. In this article, we discuss a multimodal and new materialist analysis of a lesson vignette from a first-year extended curriculum physics course. The analysis illuminates how an assemblage of bodily-paced steps-gestures-diagrams becomes entangled with mathematical concepts. Here, concepts arise through the interplay of modes of diagrams, gestures and bodily movements. The article explores how multimodal and new materialist perspectives might contribute to reconfiguring pedagogical practices in extended curriculum programmes in physics and mathematics. 

scholarly journals Technology for Location, Analysis and Interpretation of Magnetic Alterations as Precursors of Seismic Phenomena Update

2021 ◽  
Vol 2 (4) ◽  
pp. 17-21
Author(s):  
Raymond Rosa Ávila
Keyword(s):  
Geographical Location ◽  
Smart Phones ◽  
Electromagnetic Signal ◽  
Physical Sciences ◽  
Electromagnetic Noise ◽  
Mathematical Algorithm ◽  
Geomagnetic Cutoff ◽  
Variation Rate ◽  
And Mathematics ◽  
The University

To date, several studies have shown that the Earth's magnetic field suffers alterations at the local geographical location before an earthquake occur. Its study demonstrates that the Earth’s magnetic alterations at specific local geographical zone, is a local seismic precursor alerting a proximity of an earthquake with a margin of error of approximately 10%. The electromagnetic noise from background is very confusing, but that reason was necessary to identify these electromagnetic signal precursors by filtering a large amount of noise. To isolate the electromagnetic noise, was implemented a Magnetic North deflection detection in Smart Phones Magnetometers. Using it technology, was developed a mathematical algorithm that work in combination with the Smart Phones magnetometers. This research was based using in reference the study carried out by the Department of Physics of the Faculty of Physical Sciences and Mathematics (FCFM) of the University of Chile directed by Cordado, 2018[1], in the paper called “Latitudinal variation rate of geomagnetic cutoff rigidity in the active Chilean convergent margin”.

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