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Park, Jungeun; DiNapoli, Joseph; Mixell, Robert A.; Flores, Alfinio – International Journal of Mathematical Education in Science and Technology, 2017

This study looks at the various verbal and non-verbal representations used in a process of modelling the number of annual plants over time. Analysis focuses on how various representations such as words, diagrams, letters and mathematical equations evolve in the mathematization process of the modelling context. Our results show that (1) visual…

Descriptors: Mathematics, Mathematics Instruction, Mathematical Models, Equations (Mathematics)

van der Hoff, Quay; Harding, Ansie – International Journal of Mathematical Education in Science and Technology, 2017

This study focuses on the mathematics department at a South African university and in particular on teaching of calculus to first year engineering students. The paper reports on a cause-effect analysis, often used for business improvement. The cause-effect analysis indicates that there are many factors that impact on secondary school teaching of…

Descriptors: College Freshmen, Calculus, Engineering Education, Teaching Models

Jones, Stephen L. – International Journal of Mathematical Education in Science and Technology, 2017

Dr RL Moore was undoubtedly one of the finest mathematics teachers ever. He developed a unique teaching method designed to teach his students to think like mathematicians. His method was not designed to convey any particular mathematical knowledge. Instead, it was designed to teach his students to think. Today, his method has been modified to…

Descriptors: Mathematics Education, Mathematics Instruction, Mathematics Teachers, Teaching Methods

Karjanto, N. – International Journal of Mathematical Education in Science and Technology, 2017

This article investigates the attitude toward mathematics among the students enrolled in the Foundation Year Programme at Nazarbayev University. The study is conducted quantitatively and an inventory developed by Tapia and Marsh II is adopted in this research. The inventory consists of 40 statements on the five-point Likert scale. Gender,…

Descriptors: Mathematics, Mathematics Instruction, Student Attitudes, Academic Achievement

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

Code, Warren; Merchant, Sandra; Maciejewski, Wes; Thomas, Matthew; Lo, Joseph – International Journal of Mathematical Education in Science and Technology, 2016

One goal of an undergraduate education in mathematics is to help students develop a productive disposition towards mathematics. A way of conceiving of this is as helping mathematical novices transition to more expert-like perceptions of mathematics. This conceptualization creates a need for a way to characterize students' perceptions of…

Descriptors: Mathematics, Mathematics Instruction, Attitudes, Undergraduate Students

Parker, K. Andrew – International Journal of Mathematical Education in Science and Technology, 2016

Basic arithmetic forms the foundation of the math courses that students will face in their undergraduate careers. It is therefore crucial that students have a solid understanding of these fundamental concepts. At an open-access university offering both two-year and four-year degrees, incoming freshmen who were identified as lacking in basic…

Descriptors: Remedial Mathematics, Mathematics, Mathematics Instruction, Mathematics Education

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

López, Jonathan; Robles, Izraim; Martínez-Planell, Rafael – International Journal of Mathematical Education in Science and Technology, 2016

Action-Process-Object-Schema theory (APOS) was applied to study student understanding of quadratic equations in one variable. This required proposing a detailed conjecture (called a genetic decomposition) of mental constructions students may do to understand quadratic equations. The genetic decomposition which was proposed can contribute to help…

Descriptors: Equations (Mathematics), Semi Structured Interviews, Undergraduate Students, Calculus

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

Weber, Keith; Mejia-Ramos, Juan Pablo – International Journal of Mathematical Education in Science and Technology, 2014

We argue that mathematics majors learn little from the proofs they read in their advanced mathematics courses because these students and their teachers have different perceptions about students' responsibilities when reading a mathematical proof. We used observations from a qualitative study where 28 undergraduates were observed evaluating…

Descriptors: Majors (Students), Mathematics Instruction, College Mathematics, Undergraduate Students