More about an Old Number Trick

1971 ◽  
Vol 64 (4) ◽  
pp. 348
Author(s):  
Allyn H. Nelson
Keyword(s):  
Mathematics Teacher ◽  
Algebraic Proof ◽  
Interesting Article

There is an interesting article by William F. Berry, entitled “Algebraic Proof of an Old Number Trick,” in the MATHEMATICS TEACHER for February 1966.

Another Look at the Quadratic Formula

1982 ◽  
Vol 75 (2) ◽  
pp. 146-152
Author(s):  
Dean D. Obermeyer
Keyword(s):  
Standard Method ◽  
Mathematics Teacher ◽  
Quadratic Formula ◽  
Interesting Article

In a particularly interesting article from the Mathematics Teacher (May 1975), Larry Hoehn gave an alternate method of deriving the quadratic formula. Hoehn’s step-by-step comparison of the standard method and the alternate method is found in table I.

Letter to the Editor

1968 ◽  
Vol 61 (7) ◽  
pp. 701-712
Author(s):  
C. F. Hockett ◽  
Vida Augulis
Keyword(s):  
Mathematics Teacher ◽  
Hausdorff Space ◽  
Considerable Importance ◽  
Interesting Article ◽  
Letter To The Editor

In his interesting article in The Mathematics Teacher in the April 1968 issue, pages 304-95, Earl K McGeehee, Jr., fails to mention one nomenclatural point of considerable importance: A Hausdorff space that is also a door space is a house door space.

When Does A Subtraction Algorithm Involve Borrowing?

1982 ◽  
Vol 75 (9) ◽  
pp. 771-775
Author(s):  
John R. Kolb
Keyword(s):  
Mathematics Teacher ◽  
Whole Numbers ◽  
Interesting Article

In the February 1982 issue of The Mathematics Teacher, Irvin Vance wrote an interesting article describing two algorithms for the subtraction of whole numbers. He describes an algorithm presented by Colton (1980) and concludes that it involves borrowing. Vance calls the second algorithm he discusses the residue method, and he claims that it does not involve borrowing. One of Vance's colleagues claims that both algorithms do involve borrowing. Vance ends the article by asking "What do you think—is borrowing involved?”

Using the research on intergroup conflict in nonhuman animals to help inform patterns of human intergroup conflict

2019 ◽  
Vol 42 ◽  
Author(s):  
Amanda R. Ridley ◽  
Melanie O. Mirville
Keyword(s):  
Large Body ◽  
Nonhuman Animal ◽  
Intergroup Conflict ◽  
Costs And Benefits ◽  
Animal Groups ◽  
Interesting Article ◽  
Nonhuman Animals

Abstract There is a large body of research on conflict in nonhuman animal groups that measures the costs and benefits of intergroup conflict, and we suggest that much of this evidence is missing from De Dreu and Gross's interesting article. It is a shame this work has been missed, because it provides evidence for interesting ideas put forward in the article.

MATHEMATICS TEACHER EDUCATION AND THE FLEXIBLE USE OF TECHNOLOGIES IN DIGITAL AGE

2019 ◽  
Vol 8 (2) ◽  
Author(s):  
Hans-Georg Weigand
Keyword(s):  
Teacher Education ◽  
Mathematics Teacher ◽  
Industrial Revolution ◽  
Empirical Studies ◽  
Mathematics Teacher Education ◽  
Digital Technologies ◽  
Digital Age ◽  
Competence Model ◽  
Advantages And Disadvantages ◽  
Concept Representations

Advantages and disadvantages of the use of digital technologies (DT) in mathematics lessons are worldwidedissussed controversially. Many empirical studies show the benefitof the use of DT in classrooms. However, despite of inspiringresults, classroom suggestions, lesson plans and research reports,the use of DT has not succeeded, as many had expected during thelast decades. One reason is or might be that we have not been ableto convince teachers and lecturers at universities of the benefit ofDT in the classrooms in a sufficient way. However, to show thisbenefit has to be a crucial goal in teacher education because it willbe a condition for preparing teachers for industrial revolution 4.0.In the following we suggest a competence model, which classifies– for a special content (like function, equation or derivative) –the relation between levels of understanding (of the concept),representations of DT and different kind of classroom activities.The flesxible use of digital technologies will be seen in relationto this competence model, results of empirical investigations willbe intergrated and examples of the use of technologies in the upcoming digital age will be given.

The Effect of Tax Holiday on Investment Decisions: Some Comments

1975 ◽  
Vol 14 (2) ◽  
pp. 245-248
Author(s):  
A. R. Kemal
Keyword(s):  
Empirical Analysis ◽  
Investment Decisions ◽  
Private Investment ◽  
Point Of View ◽  
Development Review ◽  
Interesting Article ◽  
Methodological Problems ◽  
Tax Holidays ◽  
Tax Holiday

In the Winter 1974 issue of the Pakistan Development Review, Messrs: Azhar and Sharif have published an article entitled "The Effects of Tax Holiday on Invest¬ment Decisions: An Empirical Analysis." It was an interesting article in a very useful area of research. Apart from other subsidies, tax holidays are granted to encourage investment generally, but in certain areas particularly. Thus a study -on tax holiday is important from the policy point of view as it helps decide whether to reintroduce the tax holiday policy which was abolished in 1972. Unfortunately, there are some conceptual and methodological problems in the study so that the results presented by Azhar and Sharif are rather suspect. However, before taking up these problems, let it be pointed out that the conclusions drawn by Azhar and Sharif regarding ineffectiveness of the tax holiday policy in encouraging private investment is not quite correct. Their study showed that 20 percent of firms would not have invested if they had not been granted tax holidays. A policy which en¬courages investment by 20 percent cannot be called ineffective. Before drawing any such conclusions, one is advised to look at the relative effectivenesses of different investment-promoting policies.

THE SYSTEM OF INFORMATICS COMPETENCIES FOR THE MATHEMATICS TEACHER

2020 ◽  
pp. 57-72
Author(s):  
Nadiia Ponomareva
Keyword(s):  
Information Technology ◽  
Secondary Education ◽  
Mathematics Teachers ◽  
Mathematics Teacher ◽  
Systems Analysis ◽  
Web Technologies ◽  
Key Competencies ◽  
Teachers Training ◽  
Technology Specialists ◽  
Further Development

As a result of the analysis of domestic and foreign standards of key competencies, basic and complete secondary education, teachers’ training (in particular, mathematics teachers’ training) and information technology specialists training, the system of informatics competencies of a mathematics teacher, developed by Yu. S. Ramskyi, was updated in terms of the structure, content and indicators of competencies formation. It has been found out that the formation of the informatics competencies of a mathematics teacher begins with basic informatics competencies, the further development of which occurs primarily in the competencies in system administration, web technologies, programming and systems analysis.

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