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Locia-Espinoza, Edgardo; Morales-Carballo, Armando; Merino-Cruz, Héctor – International Electronic Journal of Mathematics Education, 2020
This paper reports the results of three questionnaires applied to sixty-seven students preparing to become university-level mathematics teachers; the questionnaires were focused on knowing their conceptions and their mastery of the representations of functions in the development of power series. The theoretical and methodological background rests…
Descriptors: Calculus, College Mathematics, Numbers, Mathematics
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Herzinger, K.; Kunselman, C.; Pierce, I. – International Journal of Mathematical Education in Science and Technology, 2018
Theon's ladder is an ancient method for easily approximating "n"th roots of a real number "k." Previous work in this area has focused on modifying Theon's ladder to approximate roots of quadratic polynomials. We extend this work using techniques from linear algebra. We will show that a ladder associated to the quadratic…
Descriptors: Algebra, Mathematics Instruction, Mathematical Formulas, Mathematics
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Cereceda, José Luis – International Journal of Mathematical Education in Science and Technology, 2017
In this note, we revisit the problem of polynomial interpolation and explicitly construct two polynomials in n of degree k + 1, P[subscript k](n) and Q[subscript k](n), such that P[subscript k](n) = Q[subscript k](n) = f[subscript k](n) for n = 1, 2,… , k, where f[subscript k](1), f[subscript k](2),… , f[subscript k](k) are k arbitrarily chosen…
Descriptors: Algebra, Mathematical Formulas, Numbers, Mathematics
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Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2016
This paper is written to commemorate the centennial anniversary of the Mathematical Association of America. It deals with a short history of different kinds of natural numbers including triangular, square, pentagonal, hexagonal and "k"-gonal numbers, and their simple properties and their geometrical representations. Included are Euclid's…
Descriptors: Mathematics, Mathematics Instruction, Mathematical Applications, Numbers
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Turton, Roger – Mathematics Teacher, 2016
"Mathematical Lens" uses photographs as a springboard for mathematical inquiry and appears in every issue of "Mathematics Teacher." Recently while dismantling an old wooden post-and-rail fence, Roger Turton noticed something very interesting when he piled up the posts and rails together in the shape of a prism. The total number…
Descriptors: Mathematics, Mathematics Instruction, Teaching Methods, Photography
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Koshy, Thomas – International Journal of Mathematical Education in Science and Technology, 2013
Using generating functions, we develop a number of properties of sums of products of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal and Jacobsthal-Lucas numbers. (Contains 2 tables.)
Descriptors: Numbers, Mathematical Formulas, Mathematics
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Asiru, Muniru A. – International Journal of Mathematical Education in Science and Technology, 2013
The gamma function, which has the property to interpolate the factorial whenever the argument is an integer, is a special case (the case "g"?=?2) of the general term of the sequence factorial of "g"-gonal numbers. In relation to this special case, a formula for calculating the general term of the sequence factorial of any…
Descriptors: Numbers, Mathematics, Mathematical Formulas, Equations (Mathematics)
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Khosroshahi, Leyla G.; Asghari, Amir H. – Australian Primary Mathematics Classroom, 2016
There is a call for enabling students to use a range of efficient mental and written strategies when solving addition and subtraction problems. To do so, students should recognise numerical structures and be able to change a problem to an equivalent problem. The purpose of this article is to suggest an activity to facilitate such understanding in…
Descriptors: Arithmetic, Addition, Subtraction, Problem Solving
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Bardell, Nicholas S. – Australian Senior Mathematics Journal, 2015
Traditionally, "z" is assumed to be a complex number and the roots are usually determined by using de Moivre's theorem adapted for fractional indices. The roots are represented in the Argand plane by points that lie equally pitched around a circle of unit radius. The "n"-th roots of unity always include the real number 1, and…
Descriptors: Mathematics, Equations (Mathematics), Numbers, Algebra
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Grant, Ken – Australian Senior Mathematics Journal, 2015
In 1859, on the occasion of being elected as a corresponding member of the Berlin Academy, Bernard Riemann (1826-66), a student of Carl Friedrich Gauss (1777-1855), presenteda lecture in which he presented a mathematics formula, derived from complex integration, which gave a precise count of the primes on the understanding that one of the terms in…
Descriptors: Mathematical Formulas, Mathematics, Numbers, Equations (Mathematics)
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Bardell, Nicholas S. – Australian Senior Mathematics Journal, 2014
This paper is a natural extension of the root visualisation techniques first presented by Bardell (2012) for quadratic equations with real coefficients. Consideration is now given to the familiar quadratic equation "y = ax[superscript 2] + bx + c" in which the coefficients "a," "b," "c" are generally…
Descriptors: Equations (Mathematics), Mathematics, Foreign Countries, Mathematical Concepts
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Zazkis, Rina; Zazkis, Dov – Research in Mathematics Education, 2014
Script writing by learners has been used as a valuable pedagogical strategy and a research tool in several contexts. We adopted this strategy in the context of a mathematics course for prospective teachers. Participants were presented with opposing viewpoints with respect to a mathematical claim, and were asked to write a dialogue in which the…
Descriptors: Numbers, Mathematics, Teacher Education, Mathematics Education
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Stoessiger, Rex – Australian Senior Mathematics Journal, 2013
A critical numeracy examination of Benford's Law suggests that our understanding of the integers is faulty. We think of them as equally likely to turn up as the first digit of a random real world number. For many real world data sets this is not true. In many cases, ranging from eBay auction prices to six digit numbers in Google to the…
Descriptors: Numbers, Numeracy, Mathematics, Mathematics Instruction
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Asiru, Muniru A. – International Journal of Mathematical Education in Science and Technology, 2012
In this note, we introduce sequence factorial and use this to study generalized M-bonomial coefficients. For the sequence of natural numbers, the twin concepts of sequence factorial and generalized M-bonomial coefficients, respectively, extend the corresponding concepts of factorial of an integer and binomial coefficients. Some latent properties…
Descriptors: Numbers, Mathematics, Equations (Mathematics), Mathematics Instruction
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Sprows, David J. – International Journal of Mathematical Education in Science and Technology, 2010
This note can be used to illustrate to the student such concepts as periodicity in the complex plane. The basic construction makes use of the Tent function which requires only that the student have some working knowledge of binary arithmetic.
Descriptors: Arithmetic, Intervals, Mathematics, Mathematical Formulas
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