Sociomathematical scaffolding as students engage in revising draft definitions, conjectures, and proofs

K Vroom, B Ellis - Educational Studies in Mathematics, 2024 - Springer
Instructors manage several tensions as they engage students in defining, conjecturing, and
proving, including building on students' contributions while maintaining the integrity of …

Students' use of technological tools to engage in collective mathematical proof activity

T Alzaga Elizondo, D Brown - International Journal of Computer …, 2024 - Springer
While there are many documented approaches to using technological tools to support
collaboration in remote environments, studies related to proof-based courses are …

Teaching practices that support revising definition drafts to adhere to mathematical norms

K Vroom, T Alzaga Elizondo, JS Barbosa… - Educational Studies in …, 2024 - Springer
Definitions play an integral role in mathematics and mathematics classes. Yet, expectations
for definitions and how they are intended to operate, ie, mathematical norms for definitions …

How mathematicians characterize and attempt to develop understanding of concepts and definitions in proof-based courses

R Rupnow, T Fukawa-Connelly - Frontiers in Education, 2024 - frontiersin.org
Mathematics education research has long focused on students' conceptual understanding,
including highlighting conceptions viewed as problematic and looking for ways to develop …

Advanced Students' Actions for Operationalizing Multiply-quantified Relationships

PC Dawkins, M Oehrtman, Z Reed - International Journal of Research in …, 2024 - Springer
Based on analysis with four graduate students' proof productions, this paper characterizes
eight ways of operationalizing quantification for reasoning about and constructing proofs …

Students' thinking about the structure of constructive existence proofs

K Vroom, T Alzaga Elizondo - International Journal of Research in …, 2024 - Springer
Undergraduate students are expected to produce and comprehend constructive existence
proofs; yet, these proofs are notoriously difficult for students. This study investigates students' …

Sociomathematical Scaffolding as Students Engage in Disciplinary Practices.

K Vroom - North American Chapter of the International Group for …, 2023 - ERIC
Instructors manage several tensions as they support students to engage in mathematical
disciplinary practices such as defining, conjecturing, and proving. These tensions include …

Adaptive Instructional that Supports Mathematical Understanding

RF Pasandaran, S Agung, S Syahrir - Proximal: Jurnal Penelitian …, 2023 - e-journal.my.id
Dalam sebuah kelas, guru dapat membedakan kategori siswa berdasarkan minat, kesiapan
belajar, dan pengalaman belajarnya terdahulu. Dinamika tersebut mendorong guru untuk …