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Bašic, Matija; Milin Šipuš, Željka – International Journal of Research in Undergraduate Mathematics Education, 2022
This study aims to address the teaching of integrals in multivariable calculus concerning the role taken by geometry, specifically, geometrical content dealing with boundaries in integrals that appear as curves and surfaces in R[superscript 2] and R[superscript 3]. Adopting the framework of the Anthropological Theory of the Didactic, we approached…
Descriptors: Mathematics Instruction, Calculus, Geometry, Geometric Concepts
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Hogue, Mark; Scarcelli, Dominic – International Journal of Mathematical Education in Science and Technology, 2022
Tangent lines are often first introduced to students in geometry during the study of circles. The topic may be repeatedly reintroduced to students in different contexts throughout their schooling, and often each reintroduction is accompanied by a new, nonequivalent definition of tangent lines. In calculus, tangent lines are again reintroduced to…
Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Mathematical Concepts
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Madrazo, Anthony Loria; Dio, Ryan Villareas – Journal on Mathematics Education, 2020
The transition of the educational system in the Philippines vastly affects basic and higher education. A mismatch of pre-requisite Mathematics learning competencies from the basic education level occurred when the student reached higher education. This descriptive-developmental method of the study utilized the developed contextualized learning…
Descriptors: Calculus, Mathematics Instruction, Geometry, Independent Study
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Fung, Chak Him; Poon, Kin Keung – International Journal of Mathematical Education in Science and Technology, 2021
This study consisted of two stages. In stage A, 38 students were divided randomly into an experimental and a control group. The experimental group received lectures assisted by dynamic geometry software (DGS) and the control group received lectures using chalk and blackboard. The effects of DGS on metacognition and its components were…
Descriptors: Metacognition, Learning Activities, Teaching Methods, Comparative Analysis
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Wijeratne, Chanakya; Zazkis, Rina – International Journal of Research in Undergraduate Mathematics Education, 2015
In mathematics education research paradoxes of infinity have been used in the investigation of students' conceptions of infinity. We analyze one such paradox--the Painter's Paradox--and examine the struggles of a group of Calculus students in an attempt to resolve it. The Painter's Paradox is based on the fact that Gabriel's horn has infinite…
Descriptors: Mathematics Education, Student Attitudes, Calculus, Teaching Methods
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Palatnik, Alik; Koichu, Boris – For the Learning of Mathematics, 2019
This study aims to explore a phenomenon of a one-off manifestation of mathematical creativity on the part of a student, against the background of her normative and not especially creative behavior--a flash of creativity. We seek to elaborate on this phenomenon in terms of the 4P (person, press, process and product) model of creativity. Namely,…
Descriptors: Creativity, Mathematics Instruction, Models, Personality Traits
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Herbert, Sandra – Australian Senior Mathematics Journal, 2008
A well-developed understanding of rate is foundational to conceptual understanding of introductory calculus. Many students achieve procedural competence with the application of rules for differentiation without developing an awareness of the connection between derivative and rate. In addition, rate-related reasoning is needed to make informed…
Descriptors: Calculus, Mathematics Instruction, Foreign Countries, Geometry
Giraldo, Victor; Belfort, Elizabeth; Carvalho, Luiz Mariano – International Group for the Psychology of Mathematics Education, 2004
We expand the theoretical perspective based on the notions of description and conflict, which was previously used to the learning of functions and calculus, to the learning of deductive geometry supported by Dynamic Geometry (DG) environments. Based on prior studies on functions and on the potential role of a DG software, we analyze a case study…
Descriptors: Conflict, Calculus, Geometry, Mathematics Instruction
Hoines, Marit Johnsen, Ed.;; Fuglestad, Anne Berit, Ed. – International Group for the Psychology of Mathematics Education, 2004
This document contains the fourth volume of the proceedings of the 28th annual conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Inclusion and Diversity". This volume features 64 research report papers: (1) Situated or Abstract: The Effect of…
Descriptors: Foreign Countries, Equations (Mathematics), Teaching Methods, Misconceptions
Hoines, Marit Johnsen, Ed.;; Fuglestad, Anne Berit, Ed. – International Group for the Psychology of Mathematics Education, 2004
This document contains the third volume of the proceedings of the 28th Annual Conference of the International Group for the Psychology of Mathematics. Conference presentations are centered around the theme "Inclusion and Diversity". A total of 65 research reports are presented here: (1) A Teacher's Model of Students Algebraic Thinking…
Descriptors: Teaching Methods, Foreign Countries, Preservice Teachers, Psychology
Hoines, Marit Johnsen, Ed.;; Fuglestad, Anne Berit, Ed. – International Group for the Psychology of Mathematics Education, 2004
This document contains the second volume of the proceedings of the 28th annual conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Inclusion and Diversity". This volume features 65 research report papers: (1) Constructing Meanings and Utilities within Algebraic…
Descriptors: Foreign Countries, Teaching Methods, Student Characteristics, Research Tools
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the third volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Ead and Kou:…
Descriptors: Foreign Countries, Comparative Analysis, Low Achievement, Grade 1
McCoy, Leah P., Ed. – Online Submission, 2003
This document presents the proceedings of an annual educational research forum held at Wake Forest University (Winston-Salem, North Carolina) on December 10, 2003. A table of contents and 31 research studies of high school teaching are included. The following studies are included: (1) No, Seriously: Humor Use by High School Social Studies Teachers…
Descriptors: War, Secondary Education, Social Studies, Teaching Methods
Chick, Helen L., Ed.; Vincent, Jill L., Ed. – International Group for the Psychology of Mathematics Education, 2005
The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…
Descriptors: Educational Theories, Elementary School Mathematics, Semiotics, Mathematics Education