The Place of Mathematics in General Education

1948 ◽  
Vol 41 (6) ◽  
pp. 274-277
Author(s):  
Edward A. Cameron

The place of mathematics in general education was discussed at least as long ago as some 2500 years, when the Pythagoreans established the quadrivium of arithmetic, geometry, astronomy, and music, subjects which were to be considered the heart of a liberal education for many centuries. That the subject is still being discussed today can be readily verified by consulting almost any recent issue of The Mathematics Teacher. The Eleventh and Fifteenth Yearbooks of the National Council of Teachers of Mathematics contain much valuable information on the subject under discussion, and I heartily recommend them to any teacher of mathematics who has not yet read them.

1951 ◽  
Vol 44 (2) ◽  
pp. 93-96
Author(s):  
Francis G. Lankford

Professor Schorling was deeply interested in the consumer education movement in our schools. He had keen insight into its implications for the contribution which mathematics may make to general education. This insight is clearly exhibited in two publications that bear his name as co-author. One of these is The Role of Mathematics in Consumer Education,1 a report of a committee of the National Council of Teachers of Mathematics; the other is Mathematics For The Consumer,2 a textbook for high school students. It, therefore, is entirely appropriate in this number of The Mathematics Teacher dedicated to the memory of Professor Schorling that the topic “Mathematics in the education of the consumer” should receive attention.


1926 ◽  
Vol 19 (7) ◽  
pp. 429-432
Author(s):  
John J. Hall

In a recent issue of “The Mathematics Teacher” appeared an article on the subject of the proof or reason of the rule that the product of two negative numbers is a positive number.


Author(s):  
Anita NEUBERG

In this paper I will take a look at how one can facilitate the change in consumption through social innovation, based on the subject of art and design in Norwegian general education. This paper will give a presentation of books, featured relevant articles and formal documents put into context to identify different causal mechanisms around our consumption. The discussion will be anchored around the resources and condition that must be provided to achieve and identify opportunities for action under the subject of Art and craft, a subject in Norwegian general education with designing at the core of the subject, ages 6–16. The question that this paper points toward is: "How can we, based on the subject of Art and craft in primary schools, facilitate the change in consumption through social innovation?”


1860 ◽  
Vol 10 ◽  
pp. 72-84 ◽  

I consider this paper as in many respects an exceedingly valuable contribution to our knowledge of the curious subject ot colour-blindness—1st, because it is the only clear and consecutive account of that affection which has yet been given by a party affected, in possession of a knowledge of what has yet been said and written on it by others, and of the theories advanced to account for it, and who, from general education and habits of mind, is in a position to discuss his own case scientifically; and 2ndly, for the reasons the author himself alleges why such a person is really more favourably situated for describing the phenomena of colour-blindness, than any normaleyed person can possibly be. It is obvious that on the very same principle that the latter considers himself entitled to refer all his perceptions of colour to three primary or elementary sensations—whether these three be red, blue, and yellow, as Mayer (followed in this respect by the generality of those who have written on colours) has done, or red, green, and violet, as suggested by Dr. Young, reasoning on Wollaston’s account of the appearance of the spectrum to his eyes—on the very same principle is a person in Mr. Pole’s condition, or one of any other description of abnormal colour-vision, quite equally entitled to be heard, when he declares that he refers his sensations of colour to two primary elements, whose combination in various proportions he recognizes, or thinks he recognizes, in all hues presented to him, and which, if he pleases to call yellow and blue, no one can gainsay him; though, whether these terms express to him the same sensations they suggest to us, or whether his sensation of light with absence of colour corresponds to our white, is a question which must for ever remain open (although I think it probable that such is really the case). All we are entitled to require on receiving such testimony is, that the party giving it should have undergone that sort of education of the sight and judgement , especially with reference to the prismatic decomposition of natural and artificial colours, for want of which the generality of persons whose vision is unimpeachably normal, appear to entertain very confused notions, and are quite incapable of discussing the subject of colour in a manner satisfactory to the photologist.


2021 ◽  
Author(s):  
Lyubov' Plaksina ◽  
Liliya Druzhinina ◽  
Larisa Osipova

The textbook deals with theoretical and methodological issues of inclusive education of children with visual impairments. Clinical, psychological and pedagogical characteristics of preschool children with visual impairments are given. The features of the organization of the subject-spatial environment, the correctional orientation of general education classes are shown. Meets the requirements of the federal state educational standards of higher education of the latest generation. For students of higher educational institutions studying in the areas of training "Special (defectological) education", "Psychological and pedagogical education" , for students of advanced training and retraining courses in the field of special and inclusive education.


2021 ◽  
Author(s):  
Vytautas Zalys

The emerging of digital technology not only encourages the development of new tools but also changes traditional approaches to solving emerging problems. The sound, music, art, colors, etc. that prevailed in the 20th-century forms of therapy are being replaced by integrated systems that overcome many of these forms, thanks to digital technology. With the increasing number of people with autism spectrum disorder (ASD) in the world, such systems provide new opportunities for the treatment of these disorders. In this research, the creation of such a system has been chosen as the object of work. The article presents an interactive tool for the education of children with ASD created by audio, video, and computer technologies and assesses its potential impact. The experimental research and its results are presented. This study aims to evaluate an interactive instrument developed for the education of such children. Following the objectives of ensuring the interactivity of the process, provoking all the perceptions of the subject, and developing the subject's ability to respond to the environment, a personalized audiovisual environment was created. For interactivity, the virtual program EyeCon, Webcam and camcorders, video projector, and speaker system were used. The study was conducted with one subject and a case study method was used. The impact of the instrument was established based on a survey of the parents of the child and the findings of childcare experts. The results of the study demonstrated the positive benefits for this child such as increased eye-to-hand coordination, concentration duration, improved communication, and emotional expression. The results obtained show that such interactive multi-sensory environments in special and general education schools can be a supplemental tool for traditional methods.


2021 ◽  
pp. 43-54
Author(s):  
Lyudmila Vasilyevna Shkerina ◽  
◽  
Natalia Alexandrovna Zhuravleva ◽  
Maria Anatolievna Keiv ◽  
◽  
...  

Modern challenges of the system of mathematical training of schoolchildren lead to an increase in subject professional deficits of a mathematics teacher. Monitoring the teacher’s professional deficits allows them to be leveled in a timely manner, thereby improving the quality of the educational process. However, the theory and method of identifying them has not been studied much. This makes it possible to state the problem of research, which consists in determining the conceptual basis of the methodology for identifying subject professional deficits of a mathematics teacher. The purpose of the article is to develop a methodology for identifying subject professional deficits of a mathematics teacher. Methodology. The methodological basis of the study was a competent approach as the basis for structuring the professional competencies of a mathematics teacher; a systematic approach as the basis for diagnosing professional deficits of a mathematics teacher; federal state educational standard for higher education in the field of training “Pedagogical education”; professional standard “Teacher (pedagogical activity in the field of preschool, primary general, basic general, secondary general education. Module “Subject training. Mathematics”, the requirements of the federal state educational standard for the mathematical training of students in a general education school). The study used methods of analyzing special literature and normative documents, pedagogical modeling and design, mathematical processing of information. Results of the study. The basic principles of the methodology for identifying subject professional deficits are formulated and substantiated: expediency, diagnosticity, systemicity and advance. Based on these principles, the authors developed a methodology for identifying subject professional deficits of a mathematics teacher. The example shows the main stages and results of diagnosing subject deficits of a mathematics teacher in the field of combinatorics and probability theory.


2021 ◽  
Vol 16 (2) ◽  
pp. 112-120
Author(s):  
Sabrekova Maria S. ◽  

The article is devoted to the analysis of the scientific and philosophical thought development, which served as a challenge to the renewal of the content of environmental education at the beginning of the XXI century. The analysis of the stages of domestic environmental education development, its content from the point of view of reflection in it of relations between society and nature is carried out. A new stage in the environmental education development in the 21st century is associated with the spread of ideas of sustainable development, which determine the transformation of all spheres of human culture. The article provides examples of tasks that currently exist in the educational literature for one of the primary school subjects, and a variant of their change from the standpoint of environmental education in the interests of sustainable development is proposed. The modern literature on the methodology of teaching the subject “The World Around” in primary school is considered from the point of view of the representation of the content of environmental education in it. The author comes to the conclusion about the insufficiency of the natural science orientation of environmental education for the formation of students’ ideas about the environmental imperative – a key category for understanding the conditions for harmonizing nature, society and the world of things. Based on the analysis performed, a conclusion was made about the relevance of updating the content of school environmental education. It is substantiated that this will contribute to the achievement of its planned result – the formation of a modern ecological culture among students. Keywords: general education, environmental education, educational content, environmental imperative, environmental culture


2016 ◽  
Author(s):  
Devin R. Berg ◽  
Tina Lee

Traditional engineering education often falls short when it comes to the inclusion of issues related to social justice, ethics, and globalization. While engineering programs are required to include ethics content for accreditation, most seem to rely primarily on general education electives, providing only a high-level overview and including the bare minimum in the program core. This can lead to an inconsistent student experience and minimal exposure to topics which are critically important for achieving worldwide equity and operating responsibly in the engineering workplace. Given the role that engineers play in economic development, this is unacceptable. It is therefore the responsibility of engineering educators to find a better way to shape the future of the engineering profession. This paper outlines the early efforts at integrating the topics of ethics, social justice, and social responsibility more directly into the engineering curriculum. This is approached from the perspectives of pedagogy, curriculum development, and service learning opportunities. It is within this context that the authors hope to influence students' awareness of and connection to social and environmental issues as well as the ethical frameworks they develop and carry with them into their professional careers. This paper centers around the creation and delivery of a new introductory engineering course combining liberal education topics and introductory engineering topics. This course also includes a substantial design project which incorporates a cultural engagement component through collaboration with international partners. The first offering of this new course revealed that, while some reservations persist, students found value in exploring what it means to be an engineer in a broader global context.


PMLA ◽  
2011 ◽  
Vol 126 (2) ◽  
pp. 460-466
Author(s):  
Amy Hollywood

In October 2006, the Harvard University task force on general education issued a preliminary report describing and justifying a new program of general education for Harvard College. Contending that “[g]eneral education is the public face of liberal education,” the task force enumerated what a person liberally educated in the twenty-first-century United States should know—or, perhaps better, know how to think about in reasoned and nuanced ways (Preliminary Report 3). The report called for seven semester-long courses in “five broad areas of inquiry and experience”: Cultural Traditions and Cultural Change, The Ethical Life, The United States and the World, Reason and Faith, and Science and Technology. In addition, the task force suggested that students be required to take three semester-long courses that “develop critical skills”: writing and oral communication, foreign language, and analytic reasoning (6). Not surprisingly, “Reason and Faith” generated some of the most heated discussion—and it was the first suggested requirement dropped by the task force, replaced in December 2006 by a new category, “What It Means to Be a Human Being.” By the time of the final report, this too was gone, replaced by “Culture and Belief,” an area of inquiry that may include the study of religion but is broader in scope than what was initially proposed (Report of the Task Force 11–12).


Sign in / Sign up

Export Citation Format

Share Document