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Wickstrom, Megan H.; Arnold, Elizabeth G. – Teaching Mathematics and Its Applications, 2023

There is a growing attention around the preparation of pre-service teachers (PSTs) as both learners and teachers of mathematical modeling. Current literature focuses on preparing PSTs as learners of modeling, and we extend current work by examining how PSTs integrate their understanding of modeling into the work of teaching. This study follows two…

Descriptors: Preservice Teachers, Mathematical Models, Competence, Mathematical Concepts

Barahmand, Ali – Teaching Mathematics and Its Applications, 2023

This study provides a framework for explaining the way individuals might construct the final result of infinite iterative processes in a geometrical context. To this end, 30 undergraduate students were interviewed. The analysis of the data collected yielded two different views: first, there were those who believed that the presented infinite…

Descriptors: Geometric Concepts, Undergraduate Students, Student Attitudes, Geometry

Strømskag, Heidi; Chevallard, Yves – Teaching Mathematics and Its Applications, 2023

In agreement with the main tenets of the anthropological theory of the didactic (ATD), this study uncovers dependencies between what students can learn, the established curriculum and the current state of mathematicians' mathematics ('scholarly mathematics'). One main result is that the mathematics taught, too often taken for granted by curriculum…

Descriptors: Learning Processes, Learning Theories, Educational Anthropology, Mathematics Instruction

Egodawatte, Gunawardena – Teaching Mathematics and Its Applications, 2023

The research reported in this article sought to develop a taxonomy of grade 11 students' levels of understanding in algebraic problem-solving tasks. The student sample was from high schools in the province of Ontario in Canada. Problems from four areas in algebra namely, variables, expressions, equations and word problems were chosen to be…

Descriptors: Taxonomy, High School Students, Knowledge Level, Problem Solving

Johns, Carolyn; Byerley, Cameron; Moore-Russo, Deborah; Rickard, Brian; Oien, Janet; Burks, Linda; James, Carolyn; Mills, Melissa; Heasom, William; Ferreira, Melissa; Mammo, Behailu – Teaching Mathematics and Its Applications, 2023

Evaluation has become a common, and even an expected, practice across undergraduate mathematics tutoring centres in the USA, UK and other countries. However, these evaluation efforts could benefit greatly from leveraging organizational theory research. In this study, we situate mathematics tutoring centres as non-profit organizations (NPOs) to…

Descriptors: Performance Based Assessment, Mathematics Instruction, Tutoring, Undergraduate Students

Radmehr, Farzad; Goodchild, Simon – Teaching Mathematics and Its Applications, 2023

This paper reports a study of university lecturers' and students' experiences of teaching and learning mathematics following the abrupt requirement to switch to online teaching in 2020. A goal of the study is to share experiences that could be useful to improve the teaching and learning of mathematics in online settings. The qualitative research…

Descriptors: College Faculty, Mathematics Education, Online Courses, Educational Technology

Berget, Ingeborg Katrin Lid – Teaching Mathematics and Its Applications, 2023

The teaching and learning of mathematical modelling involve engagement in real-world situations and the mathematization of such situations. In this study, the communication between teachers and students in 13 lessons (0.75-1.5 hours each) in two Norwegian upper secondary classrooms is observed and recorded to explore how modelling is communicated…

Descriptors: Story Telling, Mathematical Models, Teacher Student Relationship, Secondary School Students

Hatisaru, Vesife – Teaching Mathematics and Its Applications, 2023

This study explores the types of mathematical connections established in the classroom in the teaching of functions. An extended model for mathematical connections (different representations (DR), procedural (PC), if-then (I-T), part-whole connections (PWC), feature/property (F/P), analogies, and instruction-oriented connections (IOC)) is used as…

Descriptors: Mathematical Concepts, Mathematics Instruction, Teaching Methods, Secondary School Teachers

Mac an Bhaird, Ciarán; Thomas, David A. – Teaching Mathematics and Its Applications, 2023

Mathematics Learning Support (MLS) has been widely available in Higher Education Institutions in the United States (US) for decades. However, until recently, there has been little research that considered the extent of provision. In this paper, we present the results of a survey of MLS with responses from 268 institutions across the US, which…

Descriptors: Mathematics Education, Academic Support Services, National Surveys, Comparative Analysis

Kohen, Zehavit; Gharra-Badran, Yasmin – Teaching Mathematics and Its Applications, 2023

Mathematics modelling is a vital competency for students of all ages. In this study, we aim to fill the research gap about valid and reliable tools for assessing and grading mathematical modeling problems, particularly those reflecting multiple steps of the modelling cycle. We present in this paper the design of a reliable and valid assessment…

Descriptors: Scoring Rubrics, Mathematical Models, Test Construction, Test Validity

Stefanie Zegowitz – Teaching Mathematics and Its Applications, 2023

This article presents the findings of a case study that introduced online quizzes as a form of assessment in pure mathematics. Rather than being designed as an assessment of learning, these quizzes were designed to be an assessment for learning; they aimed to academically support students in their transition from A-Level mathematics to…

Descriptors: Tests, Mathematics, Students, Learning

Lorenzo Mazza; Alessandro Gambini – Teaching Mathematics and Its Applications, 2023

This paper deals with the gender gap phenomenon as displayed by Italian students participating in mathematical competitions--gifted students. In particular, the results obtained by the entire student population participating in district competitions from 2017 to 2020 were analysed. The combined analysis of the competition results and of the final…

Descriptors: Gender Differences, Academically Gifted, Competition, Secondary School Students

Faezeh Rezvanifard; Farzad Radmehr; Yuriy Rogovchenko – Teaching Mathematics and Its Applications, 2023

Current views on the teaching of differential equations (DEs) are shifting towards the use of graphical and numerical methods. Motivated by recent research suggesting that puzzle-based learning (PzBL) can improve the teaching and learning of STEM subjects and by the lack of relevant studies for DEs, we designed two tasks--sophism and paradox--to…

Descriptors: Puzzles, Engineering, Engineering Education, Undergraduate Students

Elçin Emre-Akdogan – Teaching Mathematics and Its Applications, 2023

Students' use of problem posing is an assessment tool for evaluating mathematical creativity, and it plays a substantial role in creative tasks. Integrating problem-posing tasks into a curriculum is beneficial for teaching and learning mathematics. The Photo-Math Project is an example of problem posing in terms of generating new problems. This…

Descriptors: Mathematics Teachers, Preservice Teachers, Problem Solving, Creativity

Giovannina Albano; Anna Pierri; Cristina Sabena – Teaching Mathematics and Its Applications, 2023

In our study we exploit digital tools in order to foster a relational approach to mathematics undergraduate students. Specifically, we designed formative assessment workshops based on peer feedback, with the aim to promote self-assessment and reflection on one's own mathematical activity. In the paper we describe the design of an educational…

Descriptors: Undergraduate Students, College Mathematics, Feedback (Response), Self Evaluation (Individuals)