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Jaime Segarra; Abel Cabrera-Martínez – European Journal of Science and Mathematics Education, 2024
The objective of this research is to study if the use of the calculator decreases students' anxiety in the subject of differential and integral calculus. Specifically, the research is carried out with 30 engineering students. Auzmendi anxiety factor questions are used to measure anxiety. The study is carried out in two moments; in the first the…
Descriptors: Anxiety, Calculus, Calculators, Engineering Education
Vorob'ev, Evgenii M. – International Journal of Mathematical Education in Science and Technology, 2023
This paper discusses the mathematical and didactical problems of teaching indefinite integral in the context of the ubiquitous availability of online integral calculators. The symbol of indefinite integral introduced by Leibniz, unfortunately, does not contain an indication of the interval on which the antiderivatives should be calculated. This…
Descriptors: Teaching Methods, Mathematics Instruction, Internet, Calculators
Flores González, Macarena; Vandebrouck, Fabrice; Vivier, Laurent – International Journal of Mathematical Education in Science and Technology, 2022
Our work focuses on the transition from high school to university in the field of calculus. In France, recursive sequences are studied as one of the classical exercises in both institutions. Their studies use different theorems and notions, such as functions, convergence, monotonicity, induction, etc. The work expected at this transition requires…
Descriptors: Calculus, High School Students, Mathematics Instruction, Undergraduate Study
Laumakis, Paul; Herman, Marlena – International Journal for Technology in Mathematics Education, 2018
The purpose of this study is to investigate whether or not students' understanding of mathematical content typically covered in calculus courses is enhanced by using the TINspire CAS instead of the TI-89. The study was conducted over two phases at a mid-size university in the northeastern United States in Calculus I and Accelerated Calculus I. In…
Descriptors: Comparative Analysis, Mathematics Instruction, Course Content, Calculus
Mao, Yi; White, Tyreke; Sadler, Philip M.; Sonnert, Gerhard – Educational Studies in Mathematics, 2017
This study investigates how the use of calculators during high school mathematics courses is associated with student performance in introductory college calculus courses in the USA. Data were drawn from a nationally representative sample of 7087 students enrolled in college calculus at 134 colleges and universities. They included information about…
Descriptors: Calculators, Technology Uses in Education, Mathematics Achievement, Mathematics Education
Kissane, Barry – Australian Senior Mathematics Journal, 2016
Two decades ago, in an award-winning paper, Dan Kennedy (1995) likened learning mathematics to climbing a tree, for which there was only one way to climb: up a large and solid trunk. In the limited time that is available, many students give up the climb, impede others, fall off the trunk, or fail to climb the tree sufficiently well. In the case of…
Descriptors: Technology Integration, Mathematics, Mathematics Education, Comparative Analysis
Kenney, Rachael; Kastberg, Signe – Australian Senior Mathematics Journal, 2013
Logarithms continue to play an important role in mathematics (most significantly in calculus), science, and engineering. It is therefore important for students to understand logarithms as real numbers as well as the characteristics of logarithmic functions. Exploration of challenges in understanding logarithms as real numbers and logarithmic…
Descriptors: Numbers, Mathematics, Mathematics Instruction, Calculators
Man, Yiu-Kwong; Poon, Kin-Keung – International Journal of Mathematical Education in Science and Technology, 2014
In this paper, we report a pilot study on engaging a group of undergraduate students to explore the limits of sin(x)/x and tan(x)/x as x approaches to 0, with the use of non-graphic scientific calculators. By comparing the results in the pretest and the post-test, we found that the students had improvements in the tested items, which involved the…
Descriptors: College Mathematics, Mathematics Instruction, Undergraduate Students, Calculators
Nunes, Terezinha; Bryant, Peter; Evans, Deborah; Bell, Daniel; Barros, Rossana – Educational Studies in Mathematics, 2012
The basis of this intervention study is a distinction between numerical calculus and relational calculus. The former refers to numerical calculations and the latter to the analysis of the quantitative relations in mathematical problems. The inverse relation between addition and subtraction is relevant to both kinds of calculus, but so far research…
Descriptors: Intervention, Word Problems (Mathematics), Calculus, Subtraction
Use of CAS in Secondary School: A Factor Influencing the Transition to University-Level Mathematics?
Varsavsky, Cristina – International Journal of Mathematical Education in Science and Technology, 2012
Australian secondary school systems offer three levels of senior (year 12) mathematics studies, none of them compulsory: elementary, intermediate and advanced. The intermediate and advanced studies prepare students for further mathematics studies at university level. In the state of Victoria, there are two versions of intermediate mathematics: one…
Descriptors: Program Effectiveness, Calculus, Algebra, Foreign Countries
Gordon, Sheldon P. – Mathematics Teacher, 2011
For almost all students, what happens when they push buttons on their calculators is essentially magic, and the techniques used are seemingly pure wizardry. In this article, the author draws back the curtain to expose some of the mathematics behind computational wizardry and introduces some fundamental ideas that are accessible to precalculus…
Descriptors: Data Analysis, Geometric Concepts, Trigonometry, Calculus
Auty, Geoff – School Science Review, 2011
Derivation of the law of radioactive decay is considered without prior knowledge of calculus or the exponential series. Calculus notation and exponential functions are used because ultimately they cannot be avoided, but they are introduced in a simple way and explained as needed. (Contains 10 figures, 1 box, and 1 table.)
Descriptors: Radiation, Calculus, Teaching Methods, Multiplication
Cox, Teodora B.; Singer, Stacy L. – Mathematics Teacher, 2011
Technology impacts students' learning experiences. The increased use of calculators, computer algebra systems, and computer-based and Web-based assessments opens up new opportunities and challenges for teaching and learning mathematics. Students' lives are becoming busier, and they have less time to dedicate to homework outside the classroom.…
Descriptors: Homework, Delivery Systems, Student Attitudes, Calculus
Weigand, Hans-Georg; Bichler, Ewald – International Journal for Technology in Mathematics Education, 2010
Many empirical investigations concerning the use of computer algebra systems (CAS) and symbolic calculators (SC) are restricted to a period of only a few weeks. They do not show long-term effects on students understanding. Therefore, a long term project (2003-2012) was started to test the use of symbolic calculators in Bavarian…
Descriptors: Mathematics Instruction, Program Effectiveness, Foreign Countries, Calculus
Crowe, Cheryll E.; Ma, Xin – Evaluation & Research in Education, 2010
Using data from the 2005 National Assessment of Educational Progress, students' use of calculators in the learning of high school mathematics was profiled based on their family background, curriculum background, and advanced mathematics coursework. A statistical method new to educational research--classification and regression trees--was applied…
Descriptors: Educational Research, Mathematics Achievement, Mathematics Tests, National Competency Tests