# International Journal of Mathematical Education Impact Factor & Information

## Journal description

Mathematical education is a key criterion for successful economic development and currently forms the basis of several government initiatives throughout the world. The International Journal of Mathematical Education in Science and Technology provides a medium by which a wide range of experience in mathematical education can be presented, assimilated and eventually adapted to everyday needs in schools, colleges, universities, industry and commerce. Contributions are welcomed from teachers and users of mathematics at all levels on the contents of syllabuses and methods of presentation. Mathematical models arising from real situations, the use of computers, new teaching aids and techniques also form an important part of the journal.

## Current impact factor: 0.00

## Impact Factor Rankings

## Additional details

5-year impact | 0.00 |
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Cited half-life | 0.00 |

Immediacy index | 0.00 |

Eigenfactor | 0.00 |

Article influence | 0.00 |

Website | International Journal of Mathematical Education in Science & Technology website |

Other titles | International journal of mathematical education in science and technology, Mathematical education in science and technology |

ISSN | 0020-739X |

OCLC | 1605999 |

Material type | Periodical, Internet resource |

Document type | Journal / Magazine / Newspaper, Internet Resource |

## Publisher details

- Pre-print
- Author can archive a pre-print version

- Post-print
- Author can archive a post-print version

- Conditions
- Some individual journals may have policies prohibiting pre-print archiving
- On author's personal website or departmental website immediately
- On institutional repository or subject-based repository after either 12 months embargo
- Publisher's version/PDF cannot be used
- On a non-profit server
- Published source must be acknowledged
- Must link to publisher version
- Set statements to accompany deposits (see policy)
- The publisher will deposit in on behalf of authors to a designated institutional repository including PubMed Central, where a deposit agreement exists with the repository
- STM: Science, Technology and Medicine
- Publisher last contacted on 25/03/2014
- This policy is an exception to the default policies of 'Taylor & Francis'

- Classification green

## Publications in this journal

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**ABSTRACT:**This article treats the problem of introducing transform theory (Fourier, Laplace, z) to undergraduate students and we suggest a vector approach which means that signals (functions of time) should be treated as vectors from the beginning and that transforms are introduced as a scalar product; the transform should be presented as a tool to analyse the signal exactly in the same way as the dot product is used to analyse an ‘arrow’ vector in a Cartesian space. Hence, the transform becomes a tool to find the signal's magnitude in the directions of the basis vectors.International Journal of Mathematical Education 07/2015; 46(5). DOI:10.1080/0020739X.2014.985271 -
##### Article: Alternative approach to second-order linear differential equations with constant coefficients

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**ABSTRACT:**In this paper, we give a straightforward method to solve non-homogeneous second-order linear differential equations with constant coefficients. The advantage of this method is that it does not require the uniqueness and existence theorem of the solution of the problem of initial values. Neither does it require the characterization of the linear independence of solutions by the Wronskian, nor the unnatural method of variation of parameters. As an additional benefit of this method, we obtain a single formula for the general solution, that is, a formula that expresses the general solution independent of the nature of the roots of the characteristic equation, namely it does not matter if the roots are equal or different real numbers or if they are two conjugated complex numbers.International Journal of Mathematical Education 07/2015; 46(5). DOI:10.1080/0020739X.2014.992988 - [Show abstract] [Hide abstract]

**ABSTRACT:**We study here a pair of sequences of polynomials that arise from a particular iterated mapping on the plane. We show how these sequences come about, and give some of their interesting mathematical properties.International Journal of Mathematical Education 06/2015; DOI:10.1080/0020739X.2015.1053997 - [Show abstract] [Hide abstract]

**ABSTRACT:**This paper has originated from our interest in approaching mathematical concepts starting from people's common-sense intuitions and building up from there. This goal is challenging both in designing the didactical transposition and sequencing of the mathematical subject matter, and in adopting the open and interactive teaching approach needed to achieve students' active participation and reflection. To demonstrate these challenges, and our experience of trying to cope with them, we have chosen the concept of ‘inverses’ as used in group theory, and its common-sense precursor ‘opposites’. We present our approach via a series of workshop iterations, which summarizes our experience in the many actual workshops we ran in Israel and in Denmark.International Journal of Mathematical Education 06/2015; DOI:10.1080/0020739X.2015.1049229 - [Show abstract] [Hide abstract]

**ABSTRACT:**This paper gives an account of an experiment in which 33 high school students of age 16-19 acquired the principles of the integral calculus through applying the rectangle method in spreadsheet to calculate the area of a planar figure bounded by the graph of a function and the volume of a body created by the rotation of the graph. A questionnaire survey was carried out to find out whether the students found the lesson interesting, contributing to their mathematical and technological knowledge and motivating to continue with more complicated tasks.International Journal of Mathematical Education 06/2015; DOI:10.1080/0020739X.2015.1050708 - [Show abstract] [Hide abstract]

**ABSTRACT:**We show how two linearly independent vectors can be used to construct two orthogonal vectors of equal magnitude in a simple way. The proof that the constructed vectors are orthogonal and of equal magnitude is a good exercise for students studying properties of scalar and vector triple products. We then show how this result can be used to prove van Aubel's theorem that relates the two line segments joining the centres of squares on opposite sides of a plane quadrilateral.International Journal of Mathematical Education 05/2015; DOI:10.1080/0020739X.2015.1049231 - [Show abstract] [Hide abstract]

**ABSTRACT:**In this paper, we report a teaching experiment regarding the theory of polynomial approximations at the university mathematics teaching in Sweden. The experiment was designed by applying Variation theory and by using the free dynamic mathematics software GeoGebra. The aim of this study was to investigate if the technology-assisted teaching of Taylor polynomials compared with traditional way of work at the university level can support the teaching and learning of mathematical concepts and ideas. An engineering student group (n = 19) was taught Taylor polynomials with the assistance of GeoGebra while a control group (n = 18) was taught in a traditional way. The data were gathered by video recording of the lectures, by doing a post-test concerning Taylor polynomials in both groups and by giving one question regarding Taylor polynomials at the final exam for the course in Real Analysis in one variable. In the analysis of the lectures, we found Variation theory combined with GeoGebra to be a potentially powerful tool for revealing some critical aspects of Taylor Polynomials. Furthermore, the research results indicated that applying Variation theory, when planning the technology-assisted teaching, supported and enriched students’ learning opportunities in the study group compared with the control group.International Journal of Mathematical Education 05/2015; DOI:10.1080/0020739X.2015.1046961 - [Show abstract] [Hide abstract]

**ABSTRACT:**Exercises involving the calculation of the derivative of piecewise defined functions are common in calculus, with the aim of consolidating beginners’ knowledge of applying the definition of the derivative. In such exercises, the piecewise function is commonly made up of two smooth pieces joined together at one point. A strategy which avoids using the definition of the derivative is to find the derivative function of each smooth piece and check whether these functions agree at the chosen point. Showing that this strategy works together with investigating discontinuities of the derivative is usually beyond a calculus course. However, we shall show that elementary arguments can be used to clarify the calculation and behaviour of the derivative for piecewise functions.International Journal of Mathematical Education 05/2015; DOI:10.1080/0020739X.2015.1049230 - [Show abstract] [Hide abstract]

**ABSTRACT:**Many approaches to make mathematics relevant to first-year engineering students have been described. These include teaching practical engineering applications, or a close collaboration between engineering and mathematics teaching staff on unit design and teaching. In this paper, we report on a novel approach where we gave higher year engineering and multimedia students the task to ‘make maths relevant’ for first-year students. This approach is novel as we moved away from the traditional thinking that staff should produce these resources to students producing the same. These students have more recently undertaken first-year mathematical study themselves and can also provide a more mature student perspective to the task than first-year students. Two final-year engineering students and three final-year multimedia students worked on this project over the Australian summer term and produced two animated videos showing where concepts taught in first-year mathematics are applied by professional engineers. It is this student perspective on how to make mathematics relevant to first-year students that we investigate in this paper. We analyse interviews with higher year students as well as focus groups with first-year students who had been shown the videos in class, with a focus on answering the following three research questions: (1) How would students demonstrate the relevance of mathematics in engineering? (2) What are first-year students' views on the resources produced for them? (3) Who should produce resources to demonstrate the relevance of mathematics? There seemed to be some disagreement between first- and final-year students as to how the importance of mathematics should be demonstrated in a video. We therefore argue that it should ideally be a collaboration between higher year students and first-year students, with advice from lecturers, to produce such resources.International Journal of Mathematical Education 05/2015; DOI:10.1080/0020739X.2015.1044043 -
##### Article: A Fibonacci quotient

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**ABSTRACT:**In this article, we describe the outcome of a mathematical collaboration between a university lecturer and an undergraduate student. The resulting investigation concerned a particular divisibility property of the Fibonacci numbers, and indeed it seems that a new result was found in this regard. An interesting point to be made here is that, although the mathematical content was relatively straightforward, this joint exploration did, in a very modest sense, mirror certain key aspects of the research process.International Journal of Mathematical Education 05/2015; DOI:10.1080/0020739X.2015.1044044 - [Show abstract] [Hide abstract]

**ABSTRACT:**Let f be a real-valued function defined over a subset of . In the following article, we investigate the graph of f under rotation by a fixed angle about the origin. In particular, we give necessary and sufficient conditions on the angles of rotation which result in an image that still describes a function. We include several illuminating examples and use the converse of the mean value theorem to extend previously known results.International Journal of Mathematical Education 05/2015; DOI:10.1080/0020739X.2015.1046960 - [Show abstract] [Hide abstract]

**ABSTRACT:**A highway exit curve is designed under the assumption that the tangential and normal components of the acceleration of the vehicle remain constant throughout the path. Using fundamental principles of physics and calculus, the differential equation determining the curve function is derived. The equation and initial conditions are cast into a dimensionless form first for universality of the results. It is found that the curves are effected by only one dimensionless parameter which is the ratio of the tangential acceleration to the normal acceleration. For no tangential acceleration, the equation can be solved analytically yielding a circular arc solution as expected. For nonzero tangential acceleration, the function is complicated and no closed-form solutions exist for the differential equation. The equation is solved numerically for various acceleration ratios. Discussions for applications to highway exits are given.International Journal of Mathematical Education 05/2015; DOI:10.1080/0020739X.2015.1044045 - [Show abstract] [Hide abstract]

**ABSTRACT:**We use a trigonometric identity and integral calculus to evaluate several infinite series; in particular, we deduce the corresponding partial fraction decomposition of , , and csch x.International Journal of Mathematical Education 05/2015; 46(4). DOI:10.1080/0020739X.2014.992987 -
##### Article: Motion sensors in mathematics teaching: learning tools for understanding general math concepts?

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**ABSTRACT:**Incorporating technology tools into the mathematics classroom adds a new dimension to the teaching of mathematics concepts and establishes a whole new approach to mathematics learning. In particular, gathering data in a hands-on and real-time method helps classrooms coming alive. The focus of this paper is on bringing forward important mathematics concepts such as functions and rate of change with the motion detector. Findings from the author's studies suggest that the motion detector can be introduced from a very early age and used to enliven classes at any level. Using real-world data to present the main functions invites an experimental approach to mathematics and encourages students to engage actively in their learning. By emphasizing learning experiences with computer-based motion detectors and aiming to involve students in mathematical representations of real-world phenomena, six learning activities, which were developed in previous research studies, will be presented. Students use motion sensors to collect physical data that are graphed in real time and then manipulate and analyse them. Because data are presented in an immediately understandable graphical form, students are allowed to take an active role in their learning by constructing mathematical knowledge from observation of the physical world. By utilizing a predict–observe–explain format, students learn about slope, determining slope and distance vs. time graphs through motion-filled activities. Furthermore, exploring the meaning of slope, viewed as the rate of change, students acquire competencies for reading, understanding and interpreting kinematics graphs involving a multitude of mathematical representations. Consequently, the students are empowered to efficiently move among tabular, graphical and symbolic representation to analyse patterns and discover the relationships between different representations of motion. In fact, there is a need for further research to explore how mathematics teachers can integrate motion sensors into their classrooms.International Journal of Mathematical Education 05/2015; 46(4). DOI:10.1080/0020739X.2014.985270 - [Show abstract] [Hide abstract]

**ABSTRACT:**In this action research, first-graders were challenged to cope with a sequence of modelling tasks involving an analysis of given situations and choices of mathematical tools. In the course of the sequence, they underwent a change in the nature of their problem-solving processes and developed modelling competencies. Moreover, during the task sequence, the first-graders spontaneously discovered the power of organizing problem data in a table. They did not merely use their existing mathematical knowledge, but also ‘reinvented’ tables as a new mathematical tool. This paper describes the gradual development of this tool as the children moved along the task sequence. Notably, the first-graders exhibited this progress in spite of having relatively little mathematical knowledge.International Journal of Mathematical Education 05/2015; 46(4). DOI:10.1080/0020739X.2015.1005701 - International Journal of Mathematical Education 05/2015; 46(4). DOI:10.1080/0020739X.2014.982731

Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.