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Developing Shift Problems to Foster Geometrical Proof and Understanding
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Palha, Sonia; Dekker, Rijkje; Gravemeijer, Koeno; van Hout-Wolters, Bernadette – Journal of Mathematical Behavior, 2013
Meaningful learning of formal mathematics in regular classrooms remains a problem in mathematics education. Research shows that instructional approaches in which students work collaboratively on tasks that are tailored to problem solving and reflection can improve students' learning in experimental classrooms. However, these sequences involve…
Descriptors: Teaching Methods, Learning Processes, Education, Mathematics Instruction
Peer Interactions in a Computer Lab: Reflections on Results of a Case Study Involving Web-Based Dynamic Geometry Sketches
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Sinclair, Margaret P. – Journal of Mathematical Behavior, 2005
A case study, originally set up to identify and describe some benefits and limitations of using dynamic web-based geometry sketches, provided an opportunity to examine peer interactions in a lab. Since classes were held in a computer lab, teachers and pairs faced the challenges of working and communicating in a lab environment. Research has shown…
Descriptors: Geometry, Web Based Instruction, Cooperative Learning, Interpersonal Competence
Toward a Comprehensive Model of Human Tutoring in Complex Subject Matter Domains.
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Or-Bach, Rachel; Arcavi, Abraham – Journal of Mathematical Behavior, 1992
Presents a model of the tutoring process that takes into account the evolving tutor/student relationship and the subject matter concerns that the tutor is helping the student master. Reports illustrative data from case studies from which the model is derived. (15 references) (MDH)
Descriptors: Analytic Geometry, Case Studies, Cognitive Processes, Elementary Secondary Education
Beyond the Evident Content Goals Part III. An Undercurrent-Enhanced Approach to Trigonometric Identities.
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Dugdale, Sharon – Journal of Mathematical Behavior, 1990
The third in a series of 3 articles, a study of 30 students was conducted to test the effect of restructuring a unit on trigonometric identities around microcomputer activities based on the themes of educational undercurrents identified in Part II. Experimental-group students scored significantly higher relating trigonometric functions to their…
Descriptors: Analytic Geometry, Computer Assisted Instruction, Computer Software, Discovery Learning