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Eckman, Derek; Roh, Kyeong Hah – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
This paper describes our work to determine the naturalistic images that first-time second-semester university calculus students possess for series convergence. We found that the students we interviewed most frequently determined whether a series converged by imagining a process of appending summands into a running total and examining whether this…
Descriptors: Intuition, Mathematics Instruction, Undergraduate Students, Learning Processes
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Tan, Liang Soon; Bek, Aik Chiang Alvin; Kok, Ye Hong – Mathematics Education Research Journal, 2022
Whilst Productive Failure (Kapur, "Cognition and Instruction," 26:379-424, 2008, "Instructional Science," 38:523-550, 2010; Kapur & Bielaczyc, "Journal of the Learning Sciences" 21:45-83, 2012) has been shown to be efficacious in deepening students' learning of mathematics in Singapore classrooms, an action…
Descriptors: Mathematics Instruction, Foreign Countries, Teaching Methods, Learning Processes
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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
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Lin, Wei; Yin, Hongbiao; Chai, Ching-Sing; Wang, Wenlan – Asia-Pacific Education Researcher, 2020
This study investigated the relationships between primary school mathematics teachers' conceptions of mathematics, conceptions of teaching and learning, and their commitment in the context of mainland China. A total of 847 primary school mathematics teachers participated in a paper-based questionnaire survey. The results indicated that these…
Descriptors: Elementary School Teachers, Mathematics Teachers, Teacher Attitudes, Teaching Methods
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Nongni, Gaël – International Review of Research in Open and Distributed Learning, 2021
The scientific literature identifies five challenges related to training teachers: the basics of the constructivist approach, the problematization of mathematical knowledge to be taught, the promotion of interdisciplinarity, the use of digital pedagogical resources in planning teaching, and new skills to be developed due to the arrival of…
Descriptors: Mathematics Instruction, Interdisciplinary Approach, Distance Education, Constructivism (Learning)
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Mawela, Ailwei Solomon; Mahlambi, Sizwe Blessing – International Journal of Educational Methodology, 2021
The teaching and learning of mathematics in South Africa are conducted through the authorised Language of Learning and Teaching (LoLT). South Africa has eleven official languages, and English is a Language of Learning and Teaching (LoLT) from the Intermediate and Further Education and Training (FET) Phase. This study explores teachers' views on…
Descriptors: Mathematics Instruction, Teaching Methods, Learning Processes, Multilingualism
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Naude, Mariana; Meier, Corinne – South African Journal of Education, 2019
Foundation phase teachers in South African schools follow a socio-constructivist approach to the teaching and learning of mathematics, which entails that learners experiment freely with concepts and are encouraged to communicate and share their thoughts and ideas. In an effort to understand the impact that the physical learning environment, such…
Descriptors: Educational Environment, Physical Environment, Case Studies, Teaching Methods
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Eriksson, Gota – Journal of Mathematical Behavior, 2008
This article focuses on spontaneous knowledge-building in the field of "the arithmetic "of" the child." The aim is to investigate the conceptual progress of fifteen children during their early school years in the compulsory school. The study is based on the epistemology of radical constructivism and the methodology of…
Descriptors: Constructivism (Learning), Arithmetic, Epistemology, Teaching Methods
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Norton, Anderson; D'Ambrosio, Beatriz S. – Journal for Research in Mathematics Education, 2008
The goal of this article is to examine students' mathematical development that occurs as a teacher works within each of 2 zones of learning: students' zones of proximal development (ZPD) and students' zones of potential construction (ZPC). ZPD, proposed by Vygotsky, is grounded in a social constructivist perspective on learning, whereas ZPC,…
Descriptors: Constructivism (Learning), Mathematical Concepts, Learning Theories, Grade 6
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Zambo, Ronald; Zambo, Debby – Teaching Children Mathematics, 2007
The National Council of Teachers of Mathematics (NCTM) poses constructivist ideas in its "Principles and Standards for School Mathematics" (2000). NCTM supports mathematics instruction that takes a developmental perspective; starts and builds on what children know; and leads children to construct relational understanding, problem-solving…
Descriptors: Constructivism (Learning), Learning Processes, Brain, Mathematics Teachers
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Dugdale, Sharon – Educational Technology, Research and Development, 1994
Analyzes the construction of mathematical concepts and techniques developed by high school algebra students in computer-assisted instruction; examines learning styles of the most inventive students; and discusses the use of student-generated mathematical techniques in the development of new software intended to cultivate mathematical inventiveness…
Descriptors: Algebra, Computer Assisted Instruction, Computer Software Development, Constructivism (Learning)
Abrahamson, Dor – International Group for the Psychology of Mathematics Education, 2003
The paper describes the rationale and 10-day implementation in a 5th-grade classroom (n=19) of an experimental ratio-and-proportion instructional design. In this constructivist-phenomenological design, coming from our theoretical perspective, design research, and domain analysis, students: (1) link "real-world" and "mathematical" objects…
Descriptors: Constructivism (Learning), Instructional Design, Concept Formation, Mathematics Instruction