Classics in Mathematics Education: Algebra and the Development of Reason

1966 ◽  
Vol 59 (2) ◽  
pp. 158-166
Author(s):  
Susanne K. Langer
Keyword(s):  
High School ◽  
Mathematics Education ◽  
Secondary School ◽  
The Other ◽  
Human Reason ◽  
High School Algebra ◽  
School Teaching ◽  
The Subject ◽  
Points Of View

WHAT I wish to say to you today is a general reflection on the subject of high school algebra. As a layman both in mathematics and in secondary school teaching, I can speak only from two lay points of view—that of the pupil, which meets you at one end of your activity, and that of the philosopher, which you encounter at the other. Consequently, I shall begin by talking about the futility and barrenness of algebra, and end, I hope, by reviewing with you its importance, interest, and charm. For it is a peculiarity of the subject that an uninitiate mind can usually see nothing in it but a dry, lifeless discipline, whereas the adept sees in it the apotheosis of human reason.

Algebra and the Development of Reason

1931 ◽  
Vol 24 (5) ◽  
pp. 285-297
Author(s):  
Susanne K. Langer
Keyword(s):  
High School ◽  
Secondary School ◽  
The Other ◽  
Human Reason ◽  
High School Algebra ◽  
School Teaching ◽  
The Subject ◽  
The Mean ◽  
Points Of View

What I wish to say to you today is a general reflection on the subject of high-school algebra. As a layman both in mathematics and in secondary school teaching, I can speak only from two lay points of view—that of the pupil, which meets you at one end of your activity, and that of the philosopher, which you encounter at the other. Consequently I shall begin by talking about the futility and barren, ness of algebra, and end, I hope, by reviewing with you its importance, interess and charm. For it is a peculiarity of the subject that an uninitiate mind can usually see nothing in it but a dry, lifeless discipline, whereas the adept sees in it the apotheosis of human reason. The mean from the former outlook to the latter is your ministry.

scholarly journals The Effectiveness of a Program Based on the Theory of TRIZ in the Subject of Physics to Develop the Skills of Creative Thinking and Critical Thinking Among the Secondary School Students of the Southern Al-Mazar

2020 ◽  
Vol 4 (1) ◽  
pp. 1
Author(s):  
Itimad Jamil Al-Jaafreh Jamil Aljaafreh
Keyword(s):  
High School ◽  
High School Students ◽  
Critical Thinking ◽  
Secondary School ◽  
Creative Thinking ◽  
Secondary School Students ◽  
The Other ◽  
School Students ◽  
The Subject ◽  
Experimental Group

Purpose: The study aimed to learn about the effectiveness of a program based on the Theory of TRIZ in the subject of physics to develop the skills of creative thinking and critical thinking among the high school students of the Southern al-Mazar Brigade, the study used the design like experimental, and was represented the tools of study in the Torrance test for creative thinking and the test of California for critical thinking, as a training program was built based on the theory of creative solution to problems.Methodology: The sample of the study consisted of ( 81) students of the first high school scientific which was chosen in the method of intent and the students are distributed on two randomly assigned school divisions as exacts and pilots, one (40) students and the exact group, and the other (41) students represented the experimental group.Findings: The results of the study showed that there are statistically significant differences in favor of the experimental group that indicates the effectiveness of the program in developing the skills of creative thinking and Critical thinking  among the students.

scholarly journals STUDENT’S MATHEMATICAL VALUE IN MATHEMATICS LEARNING USING NON-ROUTINE PROBLEM

2018 ◽  
Vol 37 (3) ◽  
Author(s):  
Nurul Ain Safura ◽  
Nyimas Aisyah ◽  
Cecil Hiltrimartin ◽  
Indaryanti Indaryanti
Keyword(s):  
High School ◽  
Mathematics Learning ◽  
The Other ◽  
Control Value ◽  
Learning Mathematics ◽  
The Subject

Abstract: This study aims to determine the ability of students in solving non-routine problems in learning mathematics in high school. The focus of the study is the ability of students in solving non-routine problems that include the value of objectism, value of control, value of mystery, value of progress, value of rationalism, and value of openness. The subject of this study was determined purposively, that was based on the diversity of answers. The selected subject was six students of class X SMA in Palembang. The data were collected using observation, test, and interview which were then analyzed descriptively. The results show that in general the ability of students in solving non-routine problems is dominated by the value of objectism, control, rationalism, and progress. The other two values which did not dominantly appear were mystery and openness. Keywords: mathematical value, non-routine problemNILAI MATEMATIKA (MATHEMATICAL VALUE) SISWA PADA PEMBELAJARAN MATEMATIKA MENGGUNAKAN SOAL NON RUTIN Abstrak: Penelitian ini bertujuan untuk mengetahui kemampuan siswa dalam menyelesaikan soal non rutin pada pembelajaran matematika di SMA. Fokus penelitian adalah kemampuan siswa dalam menyelesaikan soal non rutin yang meliputi nilai objektisme, nilai kontrol, nilai misteri, nilai kemajuan, nilai rasionalisme, dan nilai keterbukaan. Adapun subjek penelitian ini dipilih secara purposive, berdasarkan keberagaman jawaban. Subjek yang terpilih adalah enam orang siswa kelas X SMA di Palembang. Data dikumpulkan menggunakan observasi, tes, dan juga wawancara, yang kemudian di analisis secara deskriptif.  Hasil penelitian menunjukkan bahwa secara umum kemampuan siswa dalam menyelesaikan soal non rutin masih didominasi pada nilai objektisme, nilai kontrol, nilai rasionalisme, dan nilai kemajuan. Dua nilai lain yang tidak dominan muncul adalah nilai misteri dan nilai keterbukaan.Kata Kunci: nilai matematika, soal non rutin

An Achievement test in Solid Geometry

1928 ◽  
Vol 21 (3) ◽  
pp. 151-162
Author(s):  
Louis A. McCoy
Keyword(s):  
Secondary School ◽  
Subject Matter ◽  
Achievement Test ◽  
School Mathematics ◽  
The Other ◽  
Good Teacher ◽  
Secondary School Mathematics ◽  
Solid Geometry ◽  
The Subject ◽  
The Right

In the work of teaching secondary school mathematics in a large school where there are as many as twelve different divisions of the same subject, it would be very interesting and indeed very enlightening to see the different grades of work being done. Different teachers have their own pet ways of doing things, of presenting new matter, of conducting recitations, of drilling on old matter, of developing mathematical power in their pupils, etc. And yet they are all striving for the same results. The fact that one teacher's pupils consistently attain better results naturally should put a premium on that teacher's methods, and the work of the department would be improved if some of the other teachers would take a leaf out of the successful teacher's book. Students will often remark “So and So is a good teacher; I get a lot out of his class; he makes things clear; he has good discipline; he certainly gets the stuff over, etc.”An inspector visits the class, notes the attitude of the pupils, the personality and skill of the teacher, and oftentimes is familiar enough with the subject matter of the recitation to see if the pupils are catching and giving back the right things, and then grades the teacher as an Al man, for example. But does the opinion of the boys themselves or the visitor answer the question whether or not the teacher is successful in giving his subject to the pupils? Don't we need something more objective, more tangible, more exact on which to pin our faith? In general the supervisors are hitting it right, also the students, but we think we can do better.

Fixed Point Theorems in Euclidean Geometry

1973 ◽  
Vol 66 (4) ◽  
pp. 324-330
Author(s):  
Stanley R. Clemens
Keyword(s):  
High School ◽  
Fixed Point ◽  
Fixed Point Theorems ◽  
Euclidean Geometry ◽  
Transformation Theory ◽  
High School Geometry ◽  
School Geometry ◽  
The Subject ◽  
Points Of View ◽  
Modern Mathematics

The direction of future high school geometry courses is currently the subject of much discussion. One frequent suggestion is that high school geometry should be presented with transformation theory as the unifying theme. In support of this new direction, we shall illustrate that transformations can be employed to bring theorems from classical synthetic geometry into the so-called mainstream of modern mathematics. The thread tying these two points of view together will be the application of fixed point theorems.

Perception of Illness among Secondary School Pupils in South Africa: Malaria, Tuberculosis, HIV/AIDS, and Alcoholism

2001 ◽  
Vol 88 (3) ◽  
pp. 847-848 ◽  
Author(s):  
Karl Peltzer
Keyword(s):  
South Africa ◽  
High School ◽  
High School Students ◽  
Secondary School ◽  
Secondary Schools ◽  
The Other ◽  
Northern Province ◽  
School Students ◽  
Gradual Onset ◽  
Hiv Aids

The study investigated beliefs of 121 high school students in Grade 11 about people who are ill with malaria, tuberculosis, HIV/AIDS, and alcoholism. The sample of Black pupils were chosen at random from two rural secondary schools in one region in the Northern Province of South Africa. Analysis indicated that HIV/AIDS was clearly distinguished from the other three illnesses by being seen as the least easily cured, having the most gradual onset, being the most contagious, showing the least look of illness, and the patients being likely those most blamed for their illness.

scholarly journals Mapping Genes Is Good for You

2019 ◽  
Vol 7 (1) ◽  
pp. 1-16 ◽  
Author(s):  
James E. (Jim) Womack
Keyword(s):  
High School ◽  
Graduate Students ◽  
Career Choice ◽  
Career Path ◽  
Animal Breeding ◽  
Personal Perspective ◽  
School Teaching ◽  
High School Teaching ◽  
The Subject ◽  
Good For

I abandoned my original career choice of high school teaching to pursue dentistry and soon abandoned that path for genetics. The latter decision was due to a challenge by a professor that led to me reading Nobel speeches by pioneer geneticists before I had formal exposure to the subject. Even then, I was 15 years into my career before my interest in rodent genomes gave way to mapping cattle genes. Events behind these twists and turns in my career path comprise the first part of this review. The remainder is a review of the development of the field of bovine genomics from my personal perspective. I have had the pleasure of working with outstanding graduate students, postdocs, and colleagues to contribute my small part to a discipline that has evolved from a few individuals mapping an orphan genome to a discipline underlying a revolution in animal breeding.

Remedial work in High School Mathematics

1930 ◽  
Vol 23 (1) ◽  
pp. 36-51
Author(s):  
L. H. Whitcraft
Keyword(s):  
High School ◽  
Elementary Teachers ◽  
Secondary School ◽  
School Curriculum ◽  
School Mathematics ◽  
High School Mathematics ◽  
Secondary School Curriculum ◽  
The Subject ◽  
Method Of Instruction ◽  
Remedial Work

Teachers of high school mathematics are confronted with the fact that there are more failures in the mathematics of the secondary school than in any other subject in the secondary school curriculum. These failures may be traced to some one of the following factors; (1) the materials of mathematics, consisting of the textbook, practice exercises, and special devices; (2) the teacher's method of instruction and manner of presenting the subject matter to the pupils; or (3) the methods and processes of the pupils themselves. Now that the teachers of mathematics realize that there is a great amount of criticism due the department of mathematics what are they going to do about it? The answer should be the same as the elementary teachers have given to the criticisms which have come to them-give remedial work.

International Mathematical Education: Some Recent Efforts for Improvement of School Mathematics in India

1968 ◽  
Vol 61 (3) ◽  
pp. 321-327
Author(s):  
J. N. Kapur
Keyword(s):  
Mathematics Education ◽  
Secondary School ◽  
Mathematics Teacher ◽  
School Mathematics ◽  
Mathematical Education ◽  
International Mathematical ◽  
School Teaching

Editor's Note.—The Mathematics Teacher (India) is a new journal in mathematics education directed mainly at secondary school teaching. With the September October 1966 issue it began its third year of publication.

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