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Laursen, Sandra L.; Hassi, Marja-Liisa; Hough, Sarah – International Journal of Mathematical Education in Science and Technology, 2016

This mixed-methods study describes classroom characteristics and student outcomes from university mathematics courses that are based in mathematics departments, targeted to future pre-tertiary teachers, and taught with inquiry-based learning (IBL) approaches. The study focused on three two-term sequences taught at two research universities,…

Descriptors: Preservice Teachers, Active Learning, Inquiry, Teacher Education

Campos, Dilhermando Ferreira; Pinto, Márcia Maria Fusaro – International Journal of Mathematical Education in Science and Technology, 2016

In recent years, changes in the Brazilian economic and social scenario have generated a growing demand for higher education in the country. In response to this new context, the federal government launched in 2007 a programme aiming at expansion of the enrolment to public higher education. In such environment of changes, several proposals have…

Descriptors: Mathematics, Mathematics Instruction, Mathematics Education, Mathematics Teachers

Johnson, Estrella; Ellis, Jessica; Rasmussen, Chris – International Journal of Mathematical Education in Science and Technology, 2016

This paper is based on a large-scale empirical study designed to investigate Calculus I programmes across the United States to better understand the relationship between instructors' concerns about coverage, instructional practices, and the nature of the material covered. We found that there was no association between instructors feeling pressured…

Descriptors: College Mathematics, Mathematics, Mathematics Instruction, Calculus

Sahin, Ömer; Gökkurt, Burçin; Soylu, Yasin – International Journal of Mathematical Education in Science and Technology, 2016

The aim of the study is to examine prospective mathematics teachers' pedagogical content knowledge in terms of knowledge of understanding students and knowledge of instructional strategies which are the subcomponents of pedagogical content knowledge. The participants of this research consist of 98 prospective teachers who are studying in two…

Descriptors: Mathematics, Mathematics Teachers, Fractions, Pedagogical Content Knowledge

Kensington-Miller, Barbara; Novak, Julia; Evans, Tanya – International Journal of Mathematical Education in Science and Technology, 2016

This paper describes a case study of two pure mathematicians who flipped their lecture to teach matrix determinants in two large mathematics service courses (one at Stage I and the other at Stage II). The purpose of the study was to transform the passive lecture into an active learning opportunity and to introduce valuable mathematical skills,…

Descriptors: Blended Learning, Mathematics, Professional Personnel, Lecture Method

Sevimli, Eyup – International Journal of Mathematical Education in Science and Technology, 2016

This study aims to evaluate the consistency of teaching content with teaching approaches in calculus on the basis of lecturers' views. In this sense, the structures of the examples given in two commonly used calculus textbooks, both in traditional and reform classrooms, are compared. The content analysis findings show that the examples in both…

Descriptors: Lecture Method, Conventional Instruction, Educational Change, Content Analysis

Randahl, Mira – International Journal of Mathematical Education in Science and Technology, 2016

This paper reports on a study about how the mathematics textbook was perceived and used by the teacher in the context of a calculus part of a basic mathematics course for first-year engineering students. The focus was on the teacher's choices and the use of definitions, examples and exercises in a sequence of lectures introducing the derivative…

Descriptors: Postsecondary Education, Mathematics, Mathematics Instruction, Mathematics Education

Samuels, Peter; Haapasalo, Lenni – International Journal of Mathematical Education in Science and Technology, 2012

LOGO and turtle graphics were an influential movement in primary school mathematics education in the 1980s and 1990s. Since then, technology has moved forward, both in terms of its sophistication and pedagogical potential; and learner experiences, preferences and ways of thinking have changed dramatically. Based on the authors' previous work and a…

Descriptors: Virtual Classrooms, Robotics, Mathematics Education, Mathematics

Ho, Weng Kin; Ho, Foo Him; Lee, Tuo Yeong – International Journal of Mathematical Education in Science and Technology, 2012

This article gives an elementary proof of the famous identity [image omitted]. Using nothing more than freshman calculus, the present proof is far simpler than many existing ones. This result also leads directly to Euler's and Neville's identities, as well as the identity [image omitted].

Descriptors: Calculus, Mathematics Instruction, Mathematical Logic, Mathematical Concepts

Smith, Christopher J.; Tefera, Akalu; Zeleke, Aklilu – International Journal of Mathematical Education in Science and Technology, 2012

The use of computer algebra systems such as Maple and Mathematica is becoming increasingly important and widespread in mathematics learning, teaching and research. In this article, we present computerized proof techniques of Gosper, Wilf-Zeilberger and Zeilberger that can be used for enhancing the teaching and learning of topics in discrete…

Descriptors: Algebra, Mathematics Education, Undergraduate Students, Higher Education

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

Reisel, John R.; Jablonski, Marissa; Hosseini, Hossein; Munson, Ethan – International Journal of Mathematical Education in Science and Technology, 2012

A summer bridge program for incoming engineering and computer science freshmen has been used at the University of Wisconsin-Milwaukee from 2007 to 2010. The primary purpose of this program has been to improve the mathematics course placement for incoming students who initially place into a course below Calculus I on the math placement examination.…

Descriptors: Academic Achievement, Engineering, Computer Science, Calculus

Jukic, Ljerka; Dahl, Bettina – International Journal of Mathematical Education in Science and Technology, 2012

This article reports the concluding part of a larger study on retention of key procedural and conceptual concepts in differential and integral calculus among Croatian and Danish university students in non-mathematics study programmes. The first parts of the study examined the retention of the students' knowledge through a questionnaire testing…

Descriptors: Testing, Calculus, College Students, Mathematics

Klymchuk, Sergiy; Kachapova, Farida – International Journal of Mathematical Education in Science and Technology, 2012

This article is devoted to practical aspects of teaching and learning of probability at university. It presents the difficulties and attitudes of first-year university science and engineering students towards using paradoxes and counterexamples as a pedagogical strategy in teaching and learning of probability. It also presents a student's point of…

Descriptors: Probability, Higher Education, Science Education, Science Instruction

Man, Yiu-Kwong – International Journal of Mathematical Education in Science and Technology, 2012

Partial fraction decomposition is a useful technique often taught at senior secondary or undergraduate levels to handle integrations, inverse Laplace transforms or linear ordinary differential equations, etc. In recent years, an improved Heaviside's approach to partial fraction decomposition was introduced and developed by the author. An important…

Descriptors: Tests, Algebra, Equations (Mathematics), Foreign Countries