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Stewart, Sepideh; Schmidt, Ralf – International Journal of Mathematical Education in Science and Technology, 2017
In this study, we examined a mathematician and one of his students' teaching journals and thought processes concurrently as the class was moving towards the proof of the Fundamental Theorem of Galois Theory. We employed Tall's framework of three worlds of mathematical thinking as well as Piaget's notion of accommodation to theoretically study the…
Descriptors: Mathematical Logic, Validity, Teaching Methods, Mathematics Instruction
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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
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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
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Kensington-Miller, Barbara; Novak, Julia; Evans, Tanya – International Journal of Mathematical Education in Science and Technology, 2016
This paper describes a case study of two pure mathematicians who flipped their lecture to teach matrix determinants in two large mathematics service courses (one at Stage I and the other at Stage II). The purpose of the study was to transform the passive lecture into an active learning opportunity and to introduce valuable mathematical skills,…
Descriptors: Blended Learning, Mathematics, Professional Personnel, Lecture Method
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Paterson, Judy; Sneddon, Jamie – International Journal of Mathematical Education in Science and Technology, 2011
This article reports on the learning conversations between a mathematician and a mathematics educator as they worked together to change the delivery model of a third year discrete mathematics course from a traditional lecture mode to team-based learning (TBL). This change prompted the mathematician to create team tasks which increasingly focused…
Descriptors: Curriculum Development, Mathematics Instruction, Mathematics Education, Mathematics Curriculum
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Paterson, Judy; Thomas, Mike; Taylor, Steve – International Journal of Mathematical Education in Science and Technology, 2011
A group of mathematicians and mathematics educators are collaborating in the fine-grained examination of selected "slices" of video recordings of lectures, drawing on Schoenfeld's Resources, Orientations and Goals framework of teaching-in-context. In the larger project, we are exploring ways in which this model can be extended to examine…
Descriptors: Video Technology, Mathematics Education, Lecture Method, Mathematics
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Gonzalez-Martin, Alejandro S.; Nardi, Elena; Biza, Irene – International Journal of Mathematical Education in Science and Technology, 2011
The study we report here examines parts of what Chevallard calls the "institutional" dimension of the students' learning experience of a relatively under-researched, yet crucial, concept in Analysis, the concept of infinite series. In particular, we examine how the concept is introduced to students in texts and in teaching practice. To…
Descriptors: Learner Engagement, Foreign Countries, Learning Experience, Teaching Methods
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McArthur, Lynne C.; Klass, Lara; Eberhard, Andrew; Stacey, Andrew – International Journal of Mathematical Education in Science and Technology, 2011
This article describes a qualitative study which was undertaken to improve the delivery methods and feedback opportunity in honours mathematics lectures which are delivered through Access Grid Rooms. Access Grid Rooms are facilities that provide two-way video and audio interactivity across multiple sites, with the inclusion of smart boards. The…
Descriptors: Video Technology, Feedback (Response), Action Research, Distance Education