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Tyagi, Tarun Kumar – International Journal of Mathematical Education in Science and Technology, 2016
The relationship between mathematical creativity (MC) and mathematical problem-solving performance (MP) has often been studied but the causal relation between these two constructs has yet to be clearly reported. The main purpose of this study was to define the causal relationship between MC and MP. Data from a representative sample of 480…
Descriptors: Creative Thinking, Creativity, Mathematics, Mathematics Instruction
Khattri, Sanjay Kumar – International Journal of Mathematical Education in Science and Technology, 2012
Finding a series expansion, such as Taylor series, of functions is an important mathematical concept with many applications. Homotopy perturbation method (HPM) is a new, easy to use and effective tool for solving a variety of mathematical problems. In this study, we present how to apply HPM to obtain a series expansion of functions. Consequently,…
Descriptors: Teaching Methods, Mathematical Concepts, Mathematics, Undergraduate Study
Kanwar, V.; Sharma, Kapil K.; Behl, Ramandeep – International Journal of Mathematical Education in Science and Technology, 2010
In this article, we derive one-parameter family of Schroder's method based on Gupta et al.'s (K.C. Gupta, V. Kanwar, and S. Kumar, "A family of ellipse methods for solving non-linear equations", Int. J. Math. Educ. Sci. Technol. 40 (2009), pp. 571-575) family of ellipse methods for the solution of nonlinear equations. Further, we introduce new…
Descriptors: Geometric Concepts, Equations (Mathematics), Matrices, Mathematics Instruction
Mohapatra, Amar Kumar; Prakash, Nupur – International Journal of Mathematical Education in Science and Technology, 2010
This note proposes a unique solutions to find out the value of x, y and z which satisfies the equation x[superscript 2] + y[superscript 2] = z[superscript 2]. The uniqueness of the proposed formulae is to find the total number of y's and z's at a given value of x. The value of y and z can be calculated by factoring x[superscript 2] or…
Descriptors: Mathematical Formulas, Computation, Mathematics Instruction, Equations (Mathematics)
Gupta, K. C.; Kanwar, V.; Kumar, Sanjeev – International Journal of Mathematical Education in Science and Technology, 2009
This note presents a method for the numerical approximation of simple zeros of a non-linear equation in one variable. In order to do so, the method uses an ellipse rather than a tangent approach. The main advantage of our method is that it does not fail even if the derivative of the function is either zero or very small in the vicinity of the…
Descriptors: Equations (Mathematics), Mathematics Instruction, Problem Solving, Mathematical Logic
Peer reviewed
Majumdar, Pradip Kumar – International Journal of Mathematical Education in Science and Technology, 1978
The author discusses the apparent lack of present day progress and developments of mathematics and mathematicians as compared with those of previous generations. (Author/MN)
Descriptors: Creativity, Educational Philosophy, Mathematicians, Mathematics