Later Conceptual Relationships Between Counting and Cardinality: Addition and Subtraction of Cardinal Numbers

1988 ◽  
pp. 247-298
Author(s):  
Karen C. Fuson
Keyword(s):  
Cardinal Numbers ◽  
Addition And Subtraction ◽  
Conceptual Relationships

Reconstruction of the Ancient Numeral System in Basque Language

Philology ◽  
2019 ◽  
Vol 4 (2018) ◽  
pp. 157-172
Author(s):  
FERNANDO GOMEZ-ACEDO ◽  
ENEKO GOMEZ-ACEDO
Keyword(s):  
Cardinal Number ◽  
Counting System ◽  
Cardinal Numbers ◽  
Original Meaning ◽  
Diachronic Development ◽  
Insight Into

Abstract In this work a new insight into the reconstruction of the original forms of the first Basque cardinal numbers is presented and the identified original meaning of the names given to the numbers is shown. The method used is the internal reconstruction, using for the etymologies words that existed and still exist in Basque and other words reconstructed from the proto-Basque. As a result of this work it has been discovered that initially the numbers received their name according to a specific and logic procedure. According to this ancient method of designation, each cardinal number received its name based on the hand sign used to represent it, thus describing the position adopted by the fingers of the hand to represent each number. Finally, the different stages of numerical formation are shown, which demonstrate a long and diachronic development of the whole counting system.

Thinking in Action and Beyond

2018 ◽  
Author(s):  
Terezinha Nunes
Keyword(s):  
Hard Of Hearing ◽  
Inverse Relation ◽  
Teaching Approaches ◽  
Multiplicative Reasoning ◽  
Mathematical Concepts ◽  
Logical Organization ◽  
The World ◽  
Mathematical Problems ◽  
Addition And Subtraction ◽  
Learning By Imitation

Before children learn to use language, they learn about the world in action and by imitation. This learning provides the basis for language acquisition. Learning by imitation and thinking in action continue to be significant throughout life. Mathematical concepts are grounded in children’s schemas of action, which are action patterns that represent a logical organization that can be applied to different objects. This chapter describes some of the conditions that allow deaf or hard-of-hearing (DHH) children to learn by imitation and use schemas of action successfully to solve mathematical problems. Three examples of concepts that can be taught by observation and thinking in action are presented: the inverse relation between addition and subtraction, the concepts necessary for learning to write numbers, and multiplicative reasoning. There is sufficient knowledge for the use of teaching approaches that can prevent DHH children from falling behind before they start school.

The Natural Numbers

2018 ◽  
Author(s):  
Øystein Linnebo
Keyword(s):  
Natural Number ◽  
Peano Arithmetic ◽  
Number Sequence ◽  
Natural Numbers ◽  
Ordinal Numbers ◽  
Cardinal Numbers

How are the natural numbers individuated? That is, what is our most basic way of singling out a natural number for reference in language or in thought? According to Frege and many of his followers, the natural numbers are cardinal numbers, individuated by the cardinalities of the collections that they number. Another answer regards the natural numbers as ordinal numbers, individuated by their positions in the natural number sequence. Some reasons to favor the second answer are presented. This answer is therefore developed in more detail, involving a form of abstraction on numerals. Based on this answer, a justification for the axioms of Dedekind–Peano arithmetic is developed.

scholarly journals Manipulative Media Technology for Addition and Subtraction of Integers in Elementary Schools

2021 ◽  
Vol 1823 (1) ◽  
pp. 012096
Author(s):  
Anna Yuliwijayanti ◽  
Santoso ◽  
Achmad Hilal Madjdi
Keyword(s):  
Elementary Schools ◽  
Media Technology ◽  
Addition And Subtraction

scholarly journals Addition and subtraction as a valuation mechanism for valuable buildings

2021 ◽  
Vol 1105 (1) ◽  
pp. 012096
Author(s):  
Basim Hasan Almajdi ◽  
Abbas Na’im Mohsin ◽  
Tabark Hussein Ali
Keyword(s):  
Addition And Subtraction

Addition and Subtraction of Interactive Fuzzy Numbers via Family of Joint Possibility Distributions

2021 ◽  
Author(s):  
Estevão Esmi ◽  
Vinícius Francisco Wasques ◽  
Laécio Carvalho de Barros
Keyword(s):  
Fuzzy Numbers ◽  
Possibility Distributions ◽  
Addition And Subtraction

Institutional betrayal in nursing: A concept analysis

2021 ◽  
pp. 096973302199244
Author(s):  
Katherine C Brewer
Keyword(s):  
Organizational Behavior ◽  
Moral Distress ◽  
Well Being ◽  
Concept Analysis ◽  
Ethical Culture ◽  
Negative Events ◽  
Moral Standards ◽  
Conceptual Clarity ◽  
Definition Of ◽  
Conceptual Relationships

Background: Ethical relationships are important among many participants in healthcare, including the ethical relationship between nurse and employer. One aspect of organizational behavior that can impact ethical culture and moral well-being is institutional betrayal. Research aim: The purpose of this concept analysis is to develop a conceptual understanding of institutional betrayal in nursing by defining the concept and differentiating it from other forms of betrayal. Design: This analysis uses the method developed by Walker and Avant. Research context: Studies were reviewed using health literature databases with no date restrictions. Ethical considerations: Analysis was conducted using established guidelines for ethical research. Findings: Although institutional betrayal is a concept applied in the literature, there was a paucity of studies exploring the concept within nursing. Examples of the concept in the literature include violation of trust between organization (i.e. employer) and nurse, such as provision of inadequate workplace protections, ineffective or hostile management, and gaslighting of those who experience negative events. Examples of institutional betrayal have become more visible during the COVID-19 pandemic. Discussion: A conceptual definition of institutional betrayal is a deep violation of trust or confidence or violation of moral standards committed by an institution toward a nurse. This definition incorporates experiences and issues suggested by the literature. Outcomes are likely negative, including impacts on nurse psychological and workplace well-being. This concept likely fits within a framework of ethical workplaces and has conceptual relationships with moral distress and moral resilience. Further studies can help qualitatively explore and empirically measure this concept. Conclusion: In the pursuit of improving the ethical culture of healthcare workplaces, this concept can provide meaningful insight into organizational behavior and its consequences. Naming and describing the concept can promote conceptual clarity and equip researchers, nurses, and leaders to identify and mitigate the issue.

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