International Journal of Mathematical Education in Science and Technology · 2000 · 32 citations · 16 references
EducationMathematicsMathematics EducationElementary Mathematics EducationMathematics InstructionSecondary Mathematics EducationConcept DevelopmentConcept FormationEngineering EducationMathematical KnowledgeMathematics PedagogyStem Conceptual UnderstandingMathematical Conceptual UnderstandingMathematical Sense MakingMathematics In EngineeringStudent IdeasStudent Thinking In Mathematics
As part of a study into the mathematical understanding of engineering students, a questionnaire has been developed which seeks to elicit from students their concept images attached to key mathematical concepts. The questionnaire seeks to address both the level of understanding of the students and the mode in which the students hold the concept image. The instrument has been used on over 200 students in the schools of mathematics and engineering at the University of Plymouth, and while the details may not be exactly suited to other groups, it is suggested that the method may be helpful to other researchers in the field. Initial results suggest that engineering and mathematics students do have different concept images, and in particular that engineering students gradually adopt mathematical ideas into their engineering knowledge in a way which makes sense of them.
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Acquisition of cognitive skill.
John R. Anderson · Psychological Review · 1982 · 3.5K citations
Social Sciences, Educational Psychology, Cognitive Development +15
Visualisation and mathematical giftedness
Norma Presmeg · Educational Studies in Mathematics · 1986 · 211 citations