• School Mathematics
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• v.5 no.1
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• pp.27-42
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• 2003

The current 7th National Mathematics Curriculum had been developed as a learner-centered curriculum and begun to apply to high school since 2002. This paper discusses issues related to the high school mathematics curriculum application into high school. The mathematics curriculum for grades 11 and 12 was developed primarily as a learner-centered one to provide five elective courses according to the needs of students based on their future occupation and attitudes. Discussion starts with the differences of the five elective courses: the three of them have dependent and sequential structure and the two are totally different with regards to their levels of difficulty and the content they span. It is claimed that the frameworks of the 2005 National Ability Test for the College Entrance and the minimal enrollment requirements of several influential colleges' admission policy make the high school mathematics education very rigid, unflexible, and anti-educational. Several suggestions to recover and imp-rove the high school mathematics education and the spirit of the 7th curriculum are presented.

• The Pure and Applied Mathematics
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• v.13 no.2 s.32
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• pp.157-165
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• 2006

The notion of regularity in near-ring was generalized by the concept of b-regular and some characterizations of the same was obtained through the substructures viz bi-ideals in near-rings. In this paper, we generalize further and introduce tile notion of weakly b-regular near-rings and obtain a characterization of tile same.

• The Pure and Applied Mathematics
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• v.16 no.1
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• pp.47-57
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• 2009

In this paper, we give some results which are in connection to the parallelogram law in G-inner product spaces and also prove some results related to Bohr's inequality in G-inner product spaces.

• The Mathematical Education
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• v.42 no.4
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• pp.481-501
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• 2003

The main purpose of this work is to propose programs of algebra courses for the department of mathematics education of teacher training universities. Set Theory, Linear Algebra, Number Theory, Abstract Algebra I, Abstract Algebra II, and Philosophy of Mathematics for School Teachers are discussed in this article.

• The Mathematical Education
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• v.42 no.4
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• pp.431-452
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• 2003

In this paper we briefly survey recent works on training of mathematics teacher at universities of some countries. The main purpose of this work is to propose a desirable direction of curriculum and teaching/learning paradigm for training mathematics teachers at universities.

• Communications of Mathematical Education
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• v.20 no.1 s.25
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• pp.1-8
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• 2006

In this article, the importance of creative product fur the gifted and talented is discussed. It is shown that Mathematics competition contest should replaced by creative product to enhance the creativity of the gifted and talented.

• The Pure and Applied Mathematics
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• v.10 no.3
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• pp.193-198
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• 2003

Let X and Y be n-dimensional Euclidean spaces with $n\;{\geq}\;3$. In this paper, we generalize a classical theorem of Bookman and Quarles by proving that if a mapping, from a half space of X into Y, preserves a distance $\rho$, then the restriction of f to a subset of the half space is an isometry.

• Communications of Mathematical Education
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• v.19 no.4 s.24
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• pp.699-713
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• 2005

In this paper, we attempted to find out the meaning of several means and inequalities, their relationships and proposed the effective ways to teach them in college mathematics classes. That is, we introduced 8 proofs of arithmetic-geometric mean equality to explain the fact that there exist diverse ways of proof. The students learned the diverseproof-methods and applied them to other theorems and projects. From this, we found out that the attempt to develop the students' logical thinking ability by encouraging them to find out diverse solutions of a problem could be a very effective education method in college mathematics classes.

• The Pure and Applied Mathematics
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• v.20 no.3
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• pp.159-180
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• 2013

We establish a common fixed point theorem for mappings under ${\phi}$-contractive conditions on intuitionistic fuzzy metric spaces. As an application of our result we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to validate our result.

• The Pure and Applied Mathematics
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• v.30 no.3
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• pp.221-236
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• 2023

In this paper, we define the notions of (3, 2)-fuzzy ideal of subtraction semigroup and near subtraction semigroup. Also, we discuss some of its properties with examples.