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Alves, Alexandre – International Journal of Mathematical Education in Science and Technology, 2023
Taylor series play a ubiquitous role in calculus courses, and their applications as approximants to functions are widely taught and used everywhere. However, it is not common to present the students with other types of approximations besides Taylor polynomials. These notes show that polynomials construed to satisfy certain boundary conditions at…
Descriptors: Mathematics Instruction, Teaching Methods, Calculus, Error Patterns
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Aneta Gacovska Barandovska; Boce Mitrevski; Lambe Barandovski – International Journal of Mathematical Education in Science and Technology, 2023
Problem-solving is an essential part of teaching, learning, and assessment of physics and mathematics. The continuing educational reforms have a deep impact on everyday teaching as well as working with talented students. In the Macedonian educational system, the curricula do not explicitly point out the connection between mathematics and physics,…
Descriptors: Problem Solving, Geometry, Mathematics Instruction, Optics
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Oxman, Victor; Stupel, Moshe – International Journal of Mathematical Education in Science and Technology, 2022
We present action research of a problem posed as part of a multi-participant national (Israeli) test checking the mathematical knowledge of high school students at the ages of 16-17, where some of those who solved this problem made an error by using the converse to a well-known theorem, where the converse is not true. In order to examine the…
Descriptors: Knowledge Level, High School Students, Problem Solving, Error Patterns
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Cetin, Ibrahim; Dev, Serife – International Journal of Mathematical Education in Science and Technology, 2023
This study investigated the methods that pre-service teachers employed while finding volume using integration and the reasons why they utilized these methods (problems); the accuracy of their solutions was also analyzed in this study. Case study design, a qualitative research method, was used for this study. 45 sophomore pre-service teachers…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Teachers, Teaching Methods
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Baysal, Esra; Sevinc, Serife – International Journal of Mathematical Education in Science and Technology, 2022
This study investigated the role of the bar model method, a significant aspect of the Singapore mathematics curriculum, in the remediation of seventh-grade students' errors on algebra word problems. To accomplish this purpose, we first assessed students' errors on a written test involving algebra problems and identified ten students based on the…
Descriptors: Grade 7, Word Problems (Mathematics), Mathematics Instruction, Error Patterns
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Leron, Uri; Ejersbo, Lisser Rye – International Journal of Mathematical Education in Science and Technology, 2021
Research in psychology and in mathematics education has documented the ubiquity of "intuition traps" -- tasks that elicit non-normative responses from most people. Researchers in cognitive psychology often view these responses negatively, as a sign of irrational behaviour. Others, notably mathematics educators, view them as necessary…
Descriptors: Mathematics Instruction, Intuition, Teaching Methods, Error Patterns
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Papadopoulos, Ioannis – International Journal of Mathematical Education in Science and Technology, 2013
In this paper a two-stage research study is described focused on problem solving relevant to place-value and on the use of the operations within the calculator environment. The findings show that in this specific environment and via appropriate tasks teachers are provided with a context to better understand what year 5 or 6 pupils know or do not…
Descriptors: Calculators, Mathematics Instruction, Teaching Methods, Problem Solving
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Prentice, J. S. C. – International Journal of Mathematical Education in Science and Technology, 2011
A simple nonstiff linear initial-value problem is used to demonstrate the amplification of round-off error in the course of using a second-order Runge-Kutta method. This amplification is understood in terms of an appropriate expression for the global error. An implicit method is then used to show how the roundoff error may actually be suppressed.…
Descriptors: Mathematics Instruction, College Mathematics, Problem Solving, Error Patterns
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Gagatsis, Athanasios; Panaoura, Areti – International Journal of Mathematical Education in Science and Technology, 2014
The study aimed to investigate students' conceptions on the notion of absolute value and their abilities in applying the specific notion in routine and non-routine situations. A questionnaire was constructed and administered to 17-year-old students. Data were analysed using the hierarchical clustering of variables and the implicative method, while…
Descriptors: Mathematics Instruction, Mathematical Concepts, Questionnaires, Mathematical Logic
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Sidenvall, Johan; Lithner, Johan; Jäder, Jonas – International Journal of Mathematical Education in Science and Technology, 2015
This study reports on an analysis of students' textbook task-solving in Swedish upper secondary school. The relation between types of mathematical reasoning required, used, and the rate of correct task solutions were studied. Rote learning and superficial reasoning were common, and 80% of all attempted tasks were correctly solved using such…
Descriptors: Mathematics Instruction, Textbooks, Problem Solving, Secondary School Students
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Añino, María Magdalena; Merino, Gabriela; Miyara, Alberto; Perassi, Marisol; Ravera, Emiliano; Pita, Gustavo; Waigandt, Diana – International Journal of Mathematical Education in Science and Technology, 2014
This paper describes an action-research experience carried out with second year students at the School of Engineering of the National University of Entre Ríos, Argentina. Vector calculus students played an active role in their own learning process. They were required to present weekly reports, in both oral and written forms, on the topics studied,…
Descriptors: Action Research, Foreign Countries, College Students, Mathematical Concepts
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Tariq, V. N. – International Journal of Mathematical Education in Science and Technology, 2008
This study extends the debate concerning the mathematical skills deficit of bioscience undergraduates towards a deeper understanding of their mathematics learning, since only through the latter can appropriate and effective explicit teaching be implemented. Three hundred and twenty-six first-year bioscience undergraduates, from three pre- and four…
Descriptors: Mathematics Education, Test Items, Mathematics Tests, Scoring