Geometrical Inequalities via Bisectors

1989 ◽  
Vol 82 (2) ◽  
pp. 96-99
Author(s):  
Larry Hoehn

The proofs of several theorems in secondary school mathematics that involve geometrical inequalities are more complicated than they really need to be. This article presents an easier-to-understand alternative to the usual proofs of inequalities in triangles. The only inequality with which we need to assume familiarity is the triangle inequality (i.e., the sum of any two sides of a plane triangle is greater than the third side).

1934 ◽  
Vol 27 (2) ◽  
pp. 106-110

This is the third of a series of three volumes which Professor Breslicb bas written. All three volumes are devoted to the Teaching of mathematics in secondary schools. The first volume, the Technique of Teaching Secondary School M atlzematics, deals with problems arising in the choice and use of general Teaching procedure and the second, Problems in Teaching Secondary School Mathematics, is concerned with specific teaching problems. In his third volume Professor Breslich classifies administrative problems as they relate (1) to the direction and supervision of a department and (2) to the curriculum.


2020 ◽  
Vol 5 (36) ◽  
pp. 56-69
Author(s):  
Norkumalasari Othman ◽  
Nor Hasnida Che Md Ghazali ◽  
Mohd Nazir Md Zabit

This study aims to review the instruments of mathematics teaching practice among secondary school mathematics teachers. A total of 100 mathematics teachers were involved as respondents in this study. The data were analyzed descriptively by access to Alpha Cronbach's reliability and EFA analysis using SPSS software. The results of the analysis show that the Alpha Cronbach value is 0.934 which is more than 0.60. Results from the exploration factor analysis show four factors with Eigenvalues greater than 1.0. The KMO value (Kaiser-Meyer-Olkin) 0.867 > 0.6 indicates the items in the variable of attitude towards math are sufficient for inter-correlation. While the Bartlett Test was significant (Chi-Square 1521.621, p <0.05), an anti-image value (Measure of Sampling Adequacy, MSA) for items correlation exceeded 0.6. However, there are three items that need to be removed because the values obtained are less than 0.60, which were the items G11, G14, and G18. The value of the total variance explained by these three factors was 62.76 percent. Therefore, the overall findings indicate that the items for mathematics teaching practice instruments can measure and answer the study objectives.


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