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Ponce Campuzano, Juan Carlos; Matthews, Kelly E.; Adams, Peter – International Journal of Mathematical Education in Science and Technology, 2018

In this paper, we report on an experimental activity for discussing the concepts of speed, instantaneous speed and acceleration, generally introduced in first year university courses of calculus or physics. Rather than developing the ideas of calculus and using them to explain these basic concepts for the study of motion, we led 82 first year…

Descriptors: Mathematics, History, College Freshmen, College Science

Dunn, Michelle; Loch, Birgit; Scott, Wendy – International Journal of Mathematical Education in Science and Technology, 2018

First-year engineering students often struggle to see the relevance of theoretical mathematical concepts for their future studies and professional careers. This is an issue, as students who do not see relevance in fundamental parts of their studies may disengage from these parts and focus their efforts on other subjects they think will be more…

Descriptors: Partnerships in Education, Mathematics, Engineering Education, Foreign Countries

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

Wiggins, Harry; Harding, Ansie; Engelbrecht, Johann – International Journal of Mathematical Education in Science and Technology, 2017

This paper presents an enrichment case study to showcase a possible avenue for attending to the needs of academically strong mathematics students. We report on a group of university students who were presented with the opportunity of exploring a specific first year mathematics topic deeper, using an inquiry-based learning approach as part of an…

Descriptors: Enrichment, Enrichment Activities, Mathematics, Mathematics Instruction

Cook, Samuel A.; Fukawa-Connelly, Timothy – International Journal of Mathematical Education in Science and Technology, 2016

Studies have shown that at the end of an introductory statistics course, students struggle with building block concepts, such as mean and standard deviation, and rely on procedural understandings of the concepts. This study aims to investigate the understandings entering freshman of a department of mathematics and statistics (including mathematics…

Descriptors: Majors (Students), Mathematics, Statistics, College Freshmen

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

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

Fathurrohman, Maman; Porter, Anne; Worthy, Annette L. – International Journal of Mathematical Education in Science and Technology, 2014

In this paper, the use of guided hyperlearning, unguided hyperlearning, and conventional learning methods in mathematics are compared. The design of the research involved a quasi-experiment with a modified single-factor multiple treatment design comparing the three learning methods, guided hyperlearning, unguided hyperlearning, and conventional…

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

Craig, Tracy S. – International Journal of Mathematical Education in Science and Technology, 2013

Lecturers of first-year mathematics often have reason to believe that students enter university studies with naïve conceptions of mathematics and that more mature conceptions need to be developed in the classroom. Students' conceptions of the nature and role of mathematics in current and future studies as well as future career are pedagogically…

Descriptors: Foreign Countries, Engineering Education, Mathematics, Student Attitudes

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

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

Farmaki, V.; Paschos, T. – International Journal of Mathematical Education in Science and Technology, 2007

This paper reports studies of the interaction between the intuitive, the formal and the procedural aspects in the processes of mathematical understanding of Peter, a first-year undergraduate of Mathematics. Using an activity and an interview, an attempt is made to analyse his mental operations. The way in which he handles visual-graphic…

Descriptors: Mathematics, Thinking Skills, College Freshmen, Case Studies

Gutierrez, Rosa Maria Afonso; Diaz, Jose Angel Dorta – International Journal of Mathematical Education in Science and Technology, 2002

The continuous technological progress of the past few decades affords a different orientation to the teaching-learning process, which is useful and advantageous when mathematical concepts are transmitted. This article pursues two different aims. The first one is to examine the present state of the traditional process in relation to the concepts of…

Descriptors: Computer Software, Mathematical Concepts, Mathematics Education, Higher Education