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Direct linkVamvakoussi, Xenia; Christou, Konstantinos P.; Mertens, Lieve; Van Dooren, Wim – Learning and Instruction, 2011
It is widely documented that the density property of rational numbers is challenging for students. The framework theory approach to conceptual change places this observation in the more general frame of problems faced by learners in the transition from natural to rational numbers. As students enrich, but do not restructure, their natural number…
Descriptors: Foreign Countries, Mathematics Instruction, Comparative Education, Intervals
Holden, Becky – Teaching Children Mathematics, 2007
Seeking more effective mathematics instruction, this author decided to incorporate Cognitively Guided Instruction (CGI) into first-grade classroom lessons. Students in CGI mathematics classrooms are prompted to use their prior knowledge to solve new problems, establish cognitive structures to which new learning can be connected, and be driven by…
Descriptors: Mathematics Instruction, Thinking Skills, Problem Solving, Teaching Methods
Peer reviewedDuffin, Janet M.; Simpson, Adrian P. – Journal of Mathematical Behavior, 1995
Presents a refined form of a personal theory of learning that examines two distinct parts of the complex interaction between a learner's internal mental structures and his or her world of experience. (Author/MKR)
Descriptors: Cognitive Structures, Elementary Secondary Education, Learning Theories, Mathematics Education
Vamvakoussi, Xenia; Vosniadou, Stella – Learning and Instruction, 2004
In the present article, we argue that the conceptual change approach to learning can apply in the case of mathematics, taking into consideration the particular nature of mathematical knowledge and the neurobiological bases of mathematical cognition. In the empirical study that is reported in this article, we investigated ninth graders'…
Descriptors: Cognitive Structures, Numbers, Grade 9, Algebra
