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Vesife Hatisaru; Steven Richardson; Jon R. Star – European Journal of Science and Mathematics Education, 2025
A teacher of mathematics knows mathematics as a teacher and as a mathematician. Whilst the existing research on teacher knowledge contributes to our understanding of the ways of knowing mathematics as a teacher, little is known about ways of knowing mathematics as a mathematician. Guided by the conceptual framework of mathematical practices (MPs)…
Descriptors: Mathematical Logic, Mathematics Skills, Mathematics Teachers, Mathematics
Fereshteh Zeynivandnezhad; Ramón Emilio Fernández; Yudariah binti Mohammad Yusof; Zaleha binti Ismail – International Electronic Journal of Mathematics Education, 2025
This study explores the effects of a computer algebra system on students' mathematical thinking. Mathematical thinking is identified with mathematical thinking powers and structures. We define mathematical thinking as students' capacity to specialize and generalize their previous knowledge to solve new mathematical problems. The study was…
Descriptors: Algebra, Computer Uses in Education, Mathematical Logic, Thinking Skills
Estrella Johnson; Keith Weber; Timothy Patrick Fukawa-Connelly; Hamidreza Mahmoudian; Lisa Carbone – Educational Studies in Mathematics, 2025
In this paper, we discuss our experience in collaborating with mathematicians to increase their use of active learning pedagogy in a proof-based linear algebra course. The mathematicians we worked with valued using active learning pedagogy to increase student engagement but were reluctant to use active learning pedagogy due to time constraints.…
Descriptors: College Mathematics, Mathematics Education, Active Learning, Mathematics Instruction
Warli; Puji Rahayu; Imas Cintamulya – Mathematics Teaching Research Journal, 2025
This study aimed to describe students' ability to arrange proof of abstract algebra problems (Subgroups) after receiving Information Technology (IT)-assisted scaffolding materials. To achieve this objective, we conducted exploratory qualitative research with students of Mathematics Education, Universitas PGRI Ronggolawe Tuban, participating in the…
Descriptors: Mathematics, Algebra, Validity, Mathematical Logic
Margaret Walton; Janet Walkoe – Mathematics Teacher: Learning and Teaching PK-12, 2025
Seeds of Algebraic Thinking comes from the Knowledge in Pieces (KiP) perspective of learning. KiP is a systems approach to learning that stems from the constructivist idea that people learn by building on prior knowledge. As people experience the world, they acquire small, sub-conceptual knowledge elements. When people engage in a particular…
Descriptors: Mathematics Instruction, Prior Learning, Knowledge Level, Algebra