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Download full textSa'adah, Nihayatus; Faizah, Siti; Sa'dijah, Cholis; Khabibah, Siti; Kurniati, Dian – Mathematics Teaching Research Journal, 2023
Crystalline concept is the main concept used as the reference by students in algebraic verification. This concept divided the way of solving algebraic verification into two types: symbolic and embodied compression. This research aimed to explore the students' mathematical thinking process in solving algebraic verification based on the Crystalline…
Descriptors: Mathematics Skills, Thinking Skills, Algebra, Mathematical Concepts
Direct linkGeorge Kinnear; Ian Jones; Chris Sangwin; Maryam Alarfaj; Ben Davies; Sam Fearn; Colin Foster; André Heck; Karen Henderson; Tim Hunt; Paola Iannone; Igor' Kontorovich; Niclas Larson; Tim Lowe; John Christopher Meyer; Ann O'Shea; Peter Rowlett; Indunil Sikurajapathi; Thomas Wong – International Journal of Research in Undergraduate Mathematics Education, 2024
This paper describes the collaborative development of an agenda for research on e-assessment in undergraduate mathematics. We built on an established approach to develop the agenda from the contributions of 22 mathematics education researchers, university teachers and learning technologists interested in this topic. The resulting set of 55…
Descriptors: Foreign Countries, Undergraduate Study, College Mathematics, Electronic Learning
Tanvir Prince – Numeracy, 2024
This research centers on implementing Quantitative Reasoning (QR) within a differential equations course at an urban public community college. As a participant in the Numeracy Infusion for College Educators (NICE) faculty development program, I sought to integrate QR skills into my curriculum. Students in the course were introduced to QR goals…
Descriptors: Mathematics Skills, Thinking Skills, Equations (Mathematics), Urban Schools
Rott, Benjamin – Educational Studies in Mathematics, 2021
Epistemological beliefs are considered to play an important role in processes of learning and teaching. However, research on epistemological beliefs is confronted with methodological issues as for traditionally used self-report instruments with closed items, problems with social desirability, validity, and capturing domain-specific aspects of…
Descriptors: Logical Thinking, Epistemology, Beliefs, Critical Thinking
White, D.; Anderson, M. – PRIMUS, 2021
The purpose of this paper is to describe the use of a problem involving superfactorials (a specific product of factorials) that provides an in-depth and comprehensive mathematical experience, encompassing skills that mathematicians view as tantamount to exploration. The problem is easily accessible and fosters creativity and perseverance, thereby…
Descriptors: Mathematics Instruction, College Mathematics, Problem Solving, Mathematics Skills
Andrews-Larson, Christine; Johnson, Estrella; Peterson, Valerie; Keller, Rachel – Journal of Mathematics Teacher Education, 2021
Given the prevalence of research in undergraduate mathematics education focused on student reasoning and the development of instructional innovations that leverage student reasoning, it is important to understand the ways undergraduate mathematics instructors make sense of these innovations. We characterize pedagogical reasoning about…
Descriptors: College Mathematics, Mathematics Instruction, Mathematics Teachers, Mathematics Skills
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
Hidayah, Indriati Nurul; Irawati, Santi; Agung, Mohammad; Sa'dijah, Cholis; Subanji; Sudirman – Mathematics Teaching Research Journal, 2023
Most students practice abductive reasoning in solving mathematical problems that encourage creativity. This study analyses the process of making conjectures based on abductive reasoning. This study used a qualitative design and involved 106 undergraduate mathematics students enrolled in the mathematics course Introduction to Ring. We analyzed the…
Descriptors: Logical Thinking, Thinking Skills, Mathematics Skills, Concept Formation
Owusu, Raphael; Bonyah, Ebenezer; Arthur, Yarhands Dissou – Cogent Education, 2023
This study sought to examine the impact of dynamic mathematics software, GeoGebra, on university mathematics students' understanding of polar coordinates. A quasi-experimental design with an equivalent group of 42 participants in each group was used. A simple random sampling approach was used to select the 84 participants from the population and a…
Descriptors: Computer Software, College Students, College Mathematics, Mathematical Concepts
Büchele, Stefan; Feudel, Frank – International Journal of Science and Mathematics Education, 2023
Mathematics plays a significant role in many study programs. However, several studies show deficiencies and a decline in beginning undergraduates' skills in mathematics in many content domains. However, it remains unclear whether they have improved in so-called process competencies like modeling, mathematical reasoning, or using different…
Descriptors: Mathematics Skills, Competence, College Freshmen, College Mathematics
Anders Gustafsson – The Mathematics Educator, 2024
Team-based learning (TBL) is a flipped classroom model, where small group discussions and peer learning play a central role. Some of its features, such as scalability to large classes and a high degree of structure, together with a well-documented success rate in other fields, could make TBL an attractive option for the mathematics educator…
Descriptors: Teamwork, Cooperative Learning, Mathematics Instruction, Group Discussion
Skovsmose, Ole – ZDM: Mathematics Education, 2020
Practices within research mathematics can and do serve as models for mathematics education. However, typically such inspirations impose a devastating narrowness in relation to reflections on mathematics. This narrowness I refer to as the "banality of mathematical expertise". Reflections on mathematics can be expressed through a…
Descriptors: Mathematics Skills, Expertise, Educational Philosophy, Mathematics Education
Morris, Phillip; Agbonlahor, Osasohan; Winters, Regina; Donelson, Brian – Learning Environments Research, 2023
Between 2015 and 2018, a university in the Mountain West region of the United States piloted a mathematics intervention supported by the U.S. Department of Education's Strengthening Institutions Program (SIP). Designed to improve outcomes of undergraduates taking Algebra and Pre-Calculus courses, the intervention applied pedagogical and delivery…
Descriptors: Self Efficacy, College Mathematics, Mathematics Skills, Undergraduate Students
Hannah Rose Rieger – ProQuest LLC, 2024
Annually, 40% to 60% of students who graduate high school and enroll in higher education do not exhibit the skills necessary to succeed in college-level work and will need remediation in mathematics or English (Jimenez et al., 2016). Successfully graduating from high school does not guarantee academic preparedness for college. To understand why a…
Descriptors: College Readiness, College Mathematics, High School Graduates, Remedial Mathematics
Maria Fahlgren; Alice Barana; Mats Brunström; Marina Marchisio Conte; Fabio Roman; Matteo Sacchet; Mirela Vinerean; Yosief Wondmagegne – International Journal of Research in Undergraduate Mathematics Education, 2024
In recent decades, there has been rapid development in digital technologies for automated assessment. Through enhanced possibilities in terms of algorithms, grading codes, adaptivity, and feedback, they are suitable for formative assessment. There is a need to develop computer-aided assessment (CAA) tasks that target higher-order mathematical…
Descriptors: Computer Assisted Testing, Student Evaluation, College Mathematics, College Freshmen
