Curriculum Implications of Research on the Learning, Teaching, and Assessing of Rational Number Concepts: Thomas R. Post, Kathleen A. Cramer, Merlyn Behr, Richard Lesh, and Guershon Harel

2012 ◽  
pp. 337-372
Keyword(s):  
Rational Number ◽  
Number Concepts

Ten Often Ignored Applications of Rational–Number Concepts

1984 ◽  
Vol 31 (6) ◽  
pp. 48-50
Author(s):  
Zalman Usiskin ◽  
Max S. Bell
Keyword(s):  
Rational Number ◽  
Rational Numbers ◽  
Number Concepts ◽  
Whole Numbers

When we speak of applications of rational numbers, we refer to those applications that involve more than just whole numbers or integers. Most textbooks outline such applications.

A Longitudinal Study of the Development of Rational Number Concepts and Strategies in the Middle Grades

2015 ◽  
pp. 265-289
Author(s):  
James A. Middleton ◽  
Brandon Helding ◽  
Colleen Megowan-Romanowicz ◽  
Yanyun Yang ◽  
Bahadir Yanik ◽  
...  
Keyword(s):  
Longitudinal Study ◽  
Rational Number ◽  
Middle Grades ◽  
Number Concepts

Another Use for Geoboards

1983 ◽  
Vol 30 (8) ◽  
pp. 34-37
Author(s):  
Rebecca S. Nelson ◽  
Donald R. Whitaker
Keyword(s):  
Rational Number ◽  
Number Concepts ◽  
Irrational Numbers ◽  
Equivalent Fractions ◽  
Geometric Shapes ◽  
Interesting Fact ◽  
Area Model ◽  
Sequential Development ◽  
Area And Perimeter

Geoboards, popular since the late 1960s, have been used frequently as a manipulative aid to teach geometric shapes, area, and perimeter; and to provide concrete visualization for irrational numbers such as and . An interesting fact is that the geoboard, together with a set of materials called “geo-islands,” can also be used to teach naming fract ions, equivalent fractions, and all four operations with fractions, as welJ as mixed and decimal notation. Unike many other models for fractions, the geoboard and geo-islands provide an area model that is both consistent and complete for the sequential development of all rational-number concepts.

Spontaneous focusing on quantitative relations as a predictor of the development of rational number conceptual knowledge.

2016 ◽  
Vol 108 (6) ◽  
pp. 857-868 ◽  
Author(s):  
Jake McMullen ◽  
Minna M. Hannula-Sormunen ◽  
Eero Laakkonen ◽  
Erno Lehtinen
Keyword(s):  
Rational Number ◽  
Conceptual Knowledge

STRUCTURAL AND LOGIC DIAGRAM OF RESEARCH ON THE MILITARY-ECONOMIC SUBSTANTIATION OF THE RATIONAL NUMBER OF ARMED FORCES OF UKRAINE IN THE PROCESS OF FORMING THE PROGRAM OF THEIR DEVELOPMENT

2019 ◽  
Vol 2 (12) ◽  
pp. 102-110
Author(s):  
V. Nazarkin ◽  
O. Semenenko ◽  
A. Efimenko ◽  
V. Ivanov
Keyword(s):  
Rational Number ◽  
Armed Forces ◽  
The State ◽  
Limiting Factors ◽  
Development Programs ◽  
Power Structures ◽  
Scientific Substantiation ◽  
Conducting Research ◽  
Excess Number ◽  
The Military

The task of choosing the rational number of power structures is always one of the main priorities of any political leadership of the state. An insufficient number of armed forces is a threat to the national security of the state; an excess number creates pressures on the development of the country's national economy. Today, when the development programs of the Armed Forces of Ukraine are being formed in the context of the practical application of their units and subunits to carry out combat missions, questions of choosing a priority approach to the formation (justification) of the rational size of the Armed Forces of Ukraine is an urgent issue. The article proposes a structure for conducting research on the development and implementation of the methodology of military-economic substantiation of the rational strength of the Armed Forces of Ukraine in the system of defense planning of Ukraine in the formation of programs for their development for the medium and long term. The main objectives of this methodology are: scientific substantiation of the range of the necessary strength of the Armed Forces of Ukraine for the period of the program of their development; the choice of the indicator of the rational size of the Armed Forces of Ukraine according to the years of the program from a certain range of its changes; military-economic substantiation of this number under the influence of various limiting factors. The development and implementation of such a methodology will increase the efficiency of the formation and implementation of development programs of the Armed Forces of Ukraine, as well as the efficiency of using public funds for the development of power structures.

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