scholarly journals The phenomenon of complex knowledge in teaching mathematics as a factor of mathematical literacy forming of school students

2021 ◽  
Vol 54 (6) ◽  
pp. 285-299
Author(s):  
Eugeny I. Smirnov ◽  
◽  
Sergey A. Tikhomirov ◽  
Vera S. Abaturova ◽  
◽  
...  
Keyword(s):  
Computer Modeling ◽  
Personal Development ◽  
Personal Experience ◽  
Mathematical Knowledge ◽  
High Efficiency ◽  
School Mathematics ◽  
Mathematical Literacy ◽  
Visual Modeling ◽  
Mathematical And Computer Modeling ◽  
Complex Knowledge

Introduction. Mathematics teaching based on the development of complex knowledge generalized constructs (for example, modern achievements in science) becomes an effective direction for the formation of school student’s mathematical literacy with a significant applied and mathematical-informational potential of personal development. The purpose of the study: to develop a technology for student’s mathematical literacy formation during the development of complex mathematical knowledge and in the context of universal educational actions actualization by means of mathematical and computer modeling. Materials and methods. The research materials are based on the historiogenesis and actualization of mastering processes of complex mathematical knowledge by students as an effective mechanism for personal development. A synergetic approach, digitalization tools and visual modeling methods are being implemented to adapt the mastering processes of complex knowledge to school mathematics with the effect of student’s mathematical literacy forming. The choice and justification of methods for personal experience founding create the effect of core actualization of universal educational actions, manifest themselves in the processes of students ' activities individualization. The results of the study. For the first time, a technology for student’s mathematical literacy formation based on the symbiosis of mathematical and computer modeling in mathematics development of complex knowledge has been developed. The founding clusters and research and adaptation technology of hierarchies of complex multi-level knowledge (including modern achievements in science) to school mathematics are constructed. The stages and means of visual modeling and personal experience founding with the effect of student’s mathematical literacy forming in a rich information and educational environment are clarified. Conclusion. Educational practices have shown the high efficiency of this method to school student’s mathematical literacy forming in the process of modern achievements mastering in science. Such didactic solutions and practices are characterized by the ability to fully meet the needs of each school student in self-education and self-actualization when complex knowledge constructs mastering and set the value imperative of personal development, including mathematical literacy.

scholarly journals Mathematical proof: from mathematics to school mathematics

2019 ◽  
Vol 377 (2140) ◽  
pp. 20180045 ◽  
Author(s):  
Helena Rocha
Keyword(s):  
Simple Proof ◽  
Mathematical Knowledge ◽  
Mathematical Proof ◽  
Central Element ◽  
Focus Of Attention ◽  
School Mathematics ◽  
Theme Issue ◽  
The Future ◽  
Functions Of Proof ◽  
Recent Idea

Proof plays a central role in developing, establishing and communicating mathematical knowledge. Nevertheless, it is not such a central element in school mathematics. This article discusses some issues involving mathematical proof in school, intending to characterize the understanding of mathematical proof in school, its function and the meaning and relevance attributed to the notion of simple proof. The main conclusions suggest that the idea of addressing mathematical proof at all levels of school is a recent idea that is not yet fully implemented in schools. It requires an adaptation of the understanding of proof to the age of the students, reducing the level of formality and allowing the students to experience the different functions of proof and not only the function of verification. Among the different functions of proof, the function of explanation deserves special attention due to the illumination and empowerment that it can bring to the students and their learning. The way this function of proof relates to the notion of simple proof (and the related aesthetic issues) seems relevant enough to make it, in the future, a focus of attention for the teachers who address mathematical proof in the classroom. This article is part of the theme issue ‘The notion of ‘simple proof’ - Hilbert's 24th problem’.

scholarly journals Modeling of Pressure Drop During Refrigerant Condensation in Pipe Minichannels

2017 ◽  
Vol 38 (4) ◽  
pp. 15-28 ◽  
Author(s):  
Małgorzata Sikora ◽  
Tadeusz Bohdal
Keyword(s):  
Mathematical Model ◽  
Pressure Drop ◽  
Computer Modeling ◽  
Experimental Verification ◽  
Flow Resistance ◽  
Experimental Results ◽  
Experimental Investigations ◽  
Flow Conditions ◽  
Conservation Equations ◽  
Mathematical And Computer Modeling

Abstract Investigations of refrigerant condensation in pipe minichannels are very challenging and complicated issue. Due to the multitude of influences very important is mathematical and computer modeling. Its allows for performing calculations for many different refrigerants under different flow conditions. A large number of experimental results published in the literature allows for experimental verification of correctness of the models. In this work is presented a mathematical model for calculation of flow resistance during condensation of refrigerants in the pipe minichannel. The model was developed in environment based on conservation equations. The results of calculations were verified by authors own experimental investigations results.

Spotlight on the Principles/Standards: Problem Solving in the Middle Grades

2000 ◽  
Vol 6 (2) ◽  
pp. 105-108
Author(s):  
Carol E. Malloy ◽  
D. Bruce Guild
Keyword(s):  
Problem Solving ◽  
Mathematical Knowledge ◽  
Middle Grades ◽  
Mathematics Curriculum ◽  
School Mathematics ◽  
Measurement Algebra ◽  
Principles And Standards ◽  
Mathematical Relationships

IN WHAT WAYS WOULD YOU LIKE YOUR middle-grades students to experience problem solving in the mathematics curriculum? Do you want the curriculum to capture the excitement of geometry and measurement, algebra, statistics, and number relationships? Do you want it to help students understand and build new mathematical knowledge and explore new mathematical relationships? Do you want the curriculum to be filled with opportunities for students to ponder, create, and critique arguments about mathematics? If this is your vision for your students, then you should be pleased with, and excited by, the Problem Solving Standard in Principles and Standards for School Mathematics (NCTM 2000).

Functional Mathematical Literacy: What Is Meant by This and How to Form

2018 ◽  
Vol 6 (2) ◽  
pp. 18-26
Author(s):  
Л. Рослова ◽  
L. Roslova
Keyword(s):  
Mathematical Knowledge ◽  
Learning Activities ◽  
International Studies ◽  
Mathematical Literacy ◽  
Essential Component ◽  
Basic School ◽  
Knowledge In Practice

The article reveals the characteristic of the concept of “functional mathematical literacy” and its essential component - the student’s readiness to apply the acquired knowledge and methods of action in practical situations. Based on the results of international studies, the problem of forming skills and skills in the use of mathematical knowledge in practice, the representation of universal learning activities in them and the features of the methodology for their development are discussed. Questions of maintenance of continuity of the maintenance of functional mathematical literacy between initial and basic school are considered.

Safeway puts personal development at the forefront

2002 ◽  
Vol 10 (4) ◽  
pp. 16-18
Keyword(s):  
Training Program ◽  
Personal Development ◽  
Personal Experience ◽  
Learning Culture ◽  
Course Objectives ◽  
The Individual

A new training program for managers at UK retailer Safeway encourages participants to decide their personal direction without reference to the company’s interests, on the basis that the individual is more interested than anyone else in his or her own development. The Aspire! program, described by Tyler, is positioned as a personal experience in a learning culture and a life program for aspiring individuals. It leaves participants free to decide everything from break times to what they learn once they have identified their personal directions. There are neither course objectives nor set criteria.

Life as an entrepreneur: leadership and learning

2008 ◽  
Vol 22 (3) ◽  
pp. 16-17 ◽  
Author(s):  
Grahame Pitts
Keyword(s):  
Personal Development ◽  
Personal Experience ◽  
Design Methodology ◽  
Business Management ◽  
Organisational Change ◽  
Business Growth ◽  
Missed Opportunities ◽  
Content Type ◽  
The Impact

PurposeThe purpose of this paper is to provide experienced insights to help entrepreneurs to maximise organisational change and achieve long term business growth and success.Design/methodology/approachThis paper is based on personal experience ‐ as a mentor/coach for over 15 years ‐ working directly with entrepreneurs who are looking to make breakthroughs with their business or for themselves as individuals.FindingsBecause so many businesses fail, the impact of the entrepreneur ‐ the business leader ‐ is critical. The transition from entrepreneurial control to business management is crucial and if not well handled can result in missed opportunities, failure or even sabotage.Originality/valueThe paper will interest entrepreneurs and SMEs, but is also targeted at larger organisations which invest in organisational change. The paper emphasises the key link between leadership, personal development and business growth.

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