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Feudel, Frank; Fehlinger, Luise – International Journal of Mathematical Education in Science and Technology, 2023
In traditional advanced mathematics lectures the instructor usually provides definitions, theorems, and proofs on the board rather quickly. The students often cannot make sense of these during the lecture as they are busy writing. In order to gain an understanding of the content, an intensive post-class processing on the basis of their notes would…
Descriptors: Flipped Classroom, Lecture Method, Mathematics Instruction, Advanced Courses
Patrick B. Johnson; Corinna Singleman; Jennifer Valad; Eva Fernandez; Nathalia Holtzman – College Teaching, 2025
This study examined the extent to which college algebra instructors employ pedagogical practices previously found to assist students master difficult STEM content material and address their own previous math deficits. Faculty classroom behaviors were assessed with a modified version of the Generalized Observation and Reflection Platform (GORP).…
Descriptors: College Mathematics, Mathematics Teachers, Mathematics Instruction, College Faculty
Marzocchi, Alison S.; Soto, Roberto C. – International Journal of Research in Undergraduate Mathematics Education, 2023
Active learning is becoming more widely accepted in mathematics as a superior teaching method for student learning and, as a result, faculty are increasingly convinced of the benefits. Our study was designed to close a research gap by determining how to support mathematics faculty in transforming their instruction to active learning. We…
Descriptors: Active Learning, Teaching Methods, Mathematics Teachers, Mathematics Instruction
Anna Zarkh – ProQuest LLC, 2024
The dominant image of mathematics as an abstract, universal, disinterested, and pure body of knowledge both misrepresents disciplinary practice and alienates many students. Undergraduate proof-based courses such as real analysis, which are supposed to introduce students to contemporary academic mathematics, often contribute to such idealized…
Descriptors: Language Attitudes, Undergraduate Students, Validity, Mathematical Logic
Miller, E.; Fowler, J.; Johns, C.; Johnson, J., Jr.; Ramsey, B.; Snapp, B. – PRIMUS, 2021
We discuss a decade of initiatives to improve the teaching and learning of calculus at The Ohio State University. Calculus at OSU is taught in lecture/recitation format with large lectures and is tightly coordinated, so all innovations had to occur within that framework. We show how many smaller projects built upon one another to create a larger…
Descriptors: Mathematics Instruction, Calculus, College Mathematics, Active Learning
Alzhanova-Ericsson, Alla T.; Bergman, Christina; Dinnétz, Patrik – Journal of Further and Higher Education, 2017
The value and importance of lectures in higher education is part of a modern education discourse worldwide. This study aims to estimate the importance of lectures for prospective teachers of kindergarten, preschool and early primary school. We analysed academic achievements of prospective teachers who had either mandatorily or voluntarily attended…
Descriptors: Lecture Method, Preservice Teachers, Mathematics Achievement, Mathematics Instruction
Viirman, Olov – International Journal of Mathematical Education in Science and Technology, 2015
This paper investigates the teaching practices used by university mathematics teachers when lecturing, a topic within university mathematics education research which is gaining an increasing interest. In the study, a view of mathematics teaching as a discursive practice is taken, and Sfard's commognitive framework is used to investigate the…
Descriptors: College Faculty, Mathematics Instruction, Mathematics Teachers, Foreign Countries
Fukawa-Connelly, Tim; Lew, Kristen; Mejia-Ramos, Pablo; Weber, Keith – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
This case study investigates the effectiveness of a lecture in advanced mathematics. We video recorded a lecture delivered by an experienced professor. Using video recall, we then interviewed the professor to determine the content he intended to convey and we analyzed his lecture to see if and how this content was conveyed. We also interviewed six…
Descriptors: Lecture Method, Teaching Methods, Mathematics Teachers, Course Content
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
Olande, Oduor – REDIMAT - Journal of Research in Mathematics Education, 2014
This study reports from a pre-service teacher's online learning and assessment activity on determining variability of two graphical artefacts. Using a critical-analytical perspective to data, the present study indicates that the prospective teachers surveyed showed awareness of relevant subject specific operators and methods; however, these seem…
Descriptors: Case Studies, Preservice Teachers, Electronic Learning, Online Courses
Narli, Serkan; Baser, Nes'e – Online Submission, 2008
Infinity has contradictions arising from its nature. Since mind is actually adapted to finite realities attained by behaviors in space and time, when one starts to deal with real infinity, contradictions will arise. In particular, Cantorian Set Theory for it involves the notion of "equivalence of a set to one of its proper subsets,"…
Descriptors: Mathematical Logic, Mathematics Instruction, Preservice Teachers, Mathematics Teachers
Larsen, Michael D. – Journal of Statistics Education, 2006
Lecture is a common presentation style that gives instructors a lot of control over topics and time allocation, but can limit active student participation and learning. This article presents some ideas to increase the level of student involvement in lecture. The examples and suggestions are based on the author's experience as a senior lecturer for…
Descriptors: Guidelines, Teaching Assistants, Graduate Students, Student Participation