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White, Isabel; Foster, Michael; Lobato, Joanne – Mathematics Teacher: Learning and Teaching PK-12, 2023
Making sense of algebraic expressions in context is multifaceted and extends beyond representing real-world situations using algebra. As part of Project MathTalk, the authors created videos that feature a pair of Grade 9 algebra 1 students coming to understand algebraic expressions in context. The students found three aspects of making sense of…
Descriptors: Grade 9, Algebra, Mathematics Instruction, Video Technology
Michael Leitch – ProQuest LLC, 2023
This qualitative, multiple case study provided comprehensive descriptions of the conceptual difficulties and learning experiences of in-service teachers as they improved their ability to effectively model fraction division with pictorial diagrams. Video data were collected on eight teachers as they individually progressed through a professional…
Descriptors: Fractions, Mathematics Instruction, Mathematical Concepts, Visual Aids
Hong, Dae S. – AERA Online Paper Repository, 2023
This study explores calculus students' opportunities to learn the concepts of integral by examining one mathematician's videotaped lessons and the textbook. The results show that both lessons and textbook introduced important cognitive resources very briefly and focused on procedures and techniques of integration. Implications to these results…
Descriptors: Calculus, Teaching Methods, Mathematics Instruction, Video Technology
Alf Coles; Nathalie Sinclair – Research in Mathematics Education, 2024
In this theoretical article, we explore the possibility that instead of a mathematical connection arising "in-between" two (or more) pre-existing ideas or objects, which have presumably been known or understood, that connection is itself the motor of understanding. The standard view of connection, in which two existing ideas or concepts…
Descriptors: Educational Change, Mathematics Instruction, Self Concept, Learning Processes
Ezgi Özlav; Mustafa Akinci – Journal of Pedagogical Research, 2024
In this study on concepts of geometry, the gestures and mimics used by the mathematics teachers working in school for the deaf to define some mathematical concepts with the sign language were investigated. The research employed the structured interview technique, a qualitative research method. Data were collected through interviews and video…
Descriptors: Sign Language, Geometric Concepts, Concept Formation, Geometry
Cook, Emily – International Journal of Mathematical Education in Science and Technology, 2022
LEGO® stop-motion animations were developed to engage first-year university students in the topics of matrices, vectors, linear geometry and linear transformations. LEGO® provided a versatile medium through which a wide range of concrete and abstract concepts could be physically demonstrated in both two and three dimensions. It was also familiar…
Descriptors: Mathematics Instruction, College Mathematics, College Freshmen, Algebra
Marc Husband; Lisa Lunney Borden; Evan Throop Robinson – in education, 2023
This article explores the role that gestures play in the development of mathematical understanding. Using Pirie Kieren's (1994) notion of image making and Lunney Borden's (2011) idea of verbing mathematics, we share two examples of how students respond to teacher requests to demonstrate what they know about arrays.
Descriptors: Mathematics Instruction, Nonverbal Communication, Mathematical Concepts, Concept Formation
Rawani, Dewi; Putri, Ratu Ilma Indra; Zulkardi; Susanti, Ely – Journal on Mathematics Education, 2023
A learning trajectory as a sequence of mathematical activities that could facilitate the growth of students' understanding of learning goals. This research aimed to produce an instructional sequence to learn the concepts of translation and reflection and to investigate how students develop their understanding informally using a South Sumatra dance…
Descriptors: Indigenous Knowledge, Dance, Goal Orientation, Junior High School Students
Kosko, Karl W.; Zolfaghari, Maryam; Heisler, Jennifer L. – EURASIA Journal of Mathematics, Science and Technology Education, 2022
Teachers' professional noticing has been described as transitioning from descriptions of general pedagogy to analysis of students' mathematical procedures and conceptual reasoning. Such a shift is described as a transition towards more student-centered noticing. In the present study, we used screen recordings of pre-service teachers' (PSTs) 360…
Descriptors: Preservice Teachers, Video Technology, Correlation, Fractions
Connelly, Jeffrey; Garcia, Pablo – Mathematics Teacher: Learning and Teaching PK-12, 2023
Helping students reach a clear understanding of the cause-and-effect relationship between changes in parameter and the graph of an equation is the focus of the activity outlined in this article. The behavior of phase shifts has been regarded as counterintuitive for many people, and often, because of this, conflict between student intuition and…
Descriptors: Graphs, Mathematics Instruction, Teaching Methods, Teacher Student Relationship
Karl W. Kosko; Enrico Gandolfi; Temitope Egbedeyi – Journal of Technology and Teacher Education, 2024
This study used traditional and holographic video, along with eye-tracking technology, to examine how preservice teachers' physical act of looking is associated with how they attend to and assess students' fraction reasoning. Findings revealed that, although viewing of holograms may have influenced more focus on students' work area, there was…
Descriptors: Preservice Teachers, Observation, Video Technology, Visual Aids
Jasien, Lara; Horn, Ilana – Journal for Research in Mathematics Education, 2022
We build on mathematicians' descriptions of their work and conceptualize mathematics as an aesthetic endeavor. Invoking the anthropological meaning of practice, we claim that mathematical aesthetic practices shape meanings of and appreciation (or distaste) for particular manifestations of mathematics. To see learners' spontaneous mathematical…
Descriptors: Aesthetics, Mathematics Instruction, Play, Teaching Methods
Montero-Moguel, Luis E.; Vargas-Alejo, Verónica; Lima, Cynthia; Carmona-Domínguez, Guadalupe – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
The development of modeling skills in mathematics is essential for individuals to understand, describe, control, and predict phenomena around them. This article describes the results of an investigation to find out how an activity -- based on a Models and Modeling Perspective -- stimulates the mathematics modeling skills of undergraduate students…
Descriptors: Business Administration Education, Teaching Methods, Mathematics Instruction, Mathematical Models
Pielsticker, Felicitas – International Electronic Journal of Mathematics Education, 2022
The paper addresses concept formation processes of students in the field of geometry. More precisely, the paper deals with the questions of what knowledge do students activate about triangles in different contexts with different (digital) tools and furthermore what content-related meaning do they give to the concept of triangles? Methodologically,…
Descriptors: Geometry, Mathematical Concepts, Concept Formation, Case Studies
Rathnayake, Rovini; Jayakody, Gaya – International Journal of Research in Education and Science, 2023
In Sri Lankan advanced level mathematics curriculum, teachers are required only to provide the intuitive idea of the concept of limit. The purpose of this study is to explore the strategies used by mathematics teachers to achieve this. Twelve in-service secondary mathematics teachers working in government and private schools participated in the…
Descriptors: Intuition, Mathematics Instruction, Concept Formation, Mathematical Concepts