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Avcu, Ramazan – International Journal of Mathematical Education in Science and Technology, 2019

In this study, I analyzed and compared definitions of special quadrilaterals presented in the US and Turkish secondary school mathematics textbooks. To this end, seven textbooks from each country were examined based on the following features of mathematical definitions: form of presentation and mathematical correctness, minimality, the nature of…

Descriptors: Foreign Countries, Textbooks, Textbook Content, Secondary School Mathematics

Hong, Dae S.; Choi, Kyong Mi – International Journal of Mathematical Education in Science and Technology, 2018

This paper compares sections on functions and linear functions from two Korean textbooks and an American standards-based textbook (University of Chicago School Mathematics Project [UCSMP] Algebra) to understand differences and similarities among these textbooks through horizontal and vertical analyses. We found that these textbooks provide…

Descriptors: Comparative Analysis, Secondary School Mathematics, Mathematics Instruction, Textbooks

Tsai, Tsung-Lung; Li, Hui-Chuan – International Journal of Mathematical Education in Science and Technology, 2017

The importance of the knowledge of fractions in mathematical learning, coupled with the difficulties students have with them, has prompted researchers to focus on this particular area of mathematics. The term "fraction proficiency" used in this article refers to a person's conceptual comprehension, procedural skills and the ability to…

Descriptors: Fractions, Mathematics Achievement, Mathematics Activities, Literature Reviews

Lake, Warren; Wallin, Margie; Woolcott, Geoff; Boyd, Wendy; Foster, Alan; Markopoulos, Christos; Boyd, William – International Journal of Mathematical Education in Science and Technology, 2017

Student mathematics performance and the need for work-ready graduates to be mathematics-competent is a core issue for many universities. While both student and teacher are responsible for learning outcomes, there is a need to explicitly acknowledge the weak mathematics foundation of many university students. A systematic literature review was…

Descriptors: Meta Analysis, Teaching Methods, Teaching Models, Mathematics Achievement

Barcelos Amaral, Rúbia; Hollebrands, Karen – International Journal of Mathematical Education in Science and Technology, 2017

Three textbooks from Brazil and three textbooks from the United States were analysed with a focus on similarity and context-based tasks. Students' opportunities to learn similarity were examined by considering whether students were provided context-based tasks of high cognitive demand and whether those tasks included missing or superfluous…

Descriptors: Textbooks, Foreign Countries, Geometric Concepts, Geometry

Grehan, Martin; Mac an Bhaird, Ciarán; O'Shea, Ann – International Journal of Mathematical Education in Science and Technology, 2016

Universities invest significant resources in the provision of mathematics tuition to first year students, through both traditional and non-traditional means. Research has shown that a significant minority of students do not engage with these resources appropriately. This paper presents findings from a study of two groups of students at Maynooth…

Descriptors: Mathematics Instruction, Learner Engagement, College Students, Foreign Countries

Loch, Birgit; Lamborn, Julia – International Journal of Mathematical Education in Science and Technology, 2016

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…

Descriptors: Foreign Countries, Engineering Education, Undergraduate Students, Mathematics Education

Srinivasan, V.K. – International Journal of Mathematical Education in Science and Technology, 2013

In this teaching oriented article, I am introducing the concept of an equilateral rhombus, which is completely characterized. Three main theorems are given with proofs in Section 2. Most of the time, the rhombuses that are discussed are not squares. For a given circle of a specified radius sigma greater than?0, there is exactly one equilateral…

Descriptors: Geometric Concepts, Mathematical Logic, Validity, Mathematics Instruction

Martinez-Luaces, Victor E. – International Journal of Mathematical Education in Science and Technology, 2005

This article analyses mathematical modelling from several different perspectives and contrasts modelling with problem solving. Then it describes the ways in which modelling, applications, and problem solving are approached in several Latin American countries. It further describes workshops for secondary schools and for university teachers in which…

Descriptors: Workshops, Latin Americans, Problem Solving, Mathematical Models

Agacy, R. L. – International Journal of Mathematical Education in Science and Technology, 2005

It is known that any totally skew quantity with (n + 1) indices, each of which ranges over n values, vanishes identically. The aim of this short note is to show that this is equivalent to the simple fact that any (n + 1) vectors in an n-dimensional vector space are linearly dependent.

Descriptors: Cluster Grouping, Information Retrieval

Glaister, P. – International Journal of Mathematical Education in Science and Technology, 2004

Two techniques for determining a straight line fit to data are compared. This article reviews two simple techniques for fitting a straight line to a set of data, namely the method of averages and the method of least squares. These methods are compared by showing the results of a simple analysis, together with a number of tests based on randomized…

Descriptors: Mathematics Instruction, Comparative Analysis, Engineering, Teaching Methods

Peters, James V. – International Journal of Mathematical Education in Science and Technology, 2004

Using the methods of finite difference equations the discrete analogue of the parabolic and catenary cable are analysed. The fibonacci numbers and the golden ratio arise in the treatment of the catenary.

Descriptors: Mathematical Concepts, Mathematical Formulas, Equations (Mathematics)

Singh, J. N.; Singh, D. – International Journal of Mathematical Education in Science and Technology, 2002

The paper reviews some recent advances in interior-point methods for linear programming and indicates directions in which future progress can be made. Most of the interior-point methods belong to any of three categories: affine-scaling methods, potential reduction methods and central path methods. These methods are discussed together with…

Descriptors: Programming, Item Banks, Mathematical Applications, Mathematics