I am looking for some case studies of research in mathematics education to read in my mathematics education research seminar. I am especially interested in single case studies of individuals learning mathematics.
I agree with Igor that Erlwanger's case of Benny has, quoting Leatham and Winiecke (2014, p. 101), been referred to "as “classic” (Shulman, 1985, p. 442), “seminal” (Ernest, 1996, p. 805), and as “one of the most influential and important research studies in mathematics education” (Boaler, 2008, p. 592)". See:
Erlwanger, S. H. (1973). Benny's conception of rules and answers in IPI mathematics. Journal of Children's Mathematical Behavior, 1(2), 7-26.
The commentary by Leatham and Winiecke is:
Leatham, K. R., & Winiecke, T. (2014). The case of the Case of Benny: Elucidating the influence of a landmark study in mathematics education. Journal of Mathematical Behavior, 35, 101-109.
Dear Mrs. Selden: Bikner-Asbahs, Knipping & Presmeg's "Approaches to Qualitative Research in Mathematics Education" (2015) could be to your interests. Best regards of Perú
Dear Annie, we work with case studies in the field of research on mathematics' teacher knowledge. Some of these case studies dealing with aspects of learning. You might suggest to visit ourspublications (Research Gate) by you may be of interest.
Children who come from low socioeconomic backgrounds and children with learning disabilities are found to be at risk for future failure in mathematics. Even though the mathematics scores increases over time the achievement gap remains between the various ethnic and socioeconomic groups. One way to prevent this failure is to identify the students who are at risk and provide them with effective early intervention. This study reports the results of a pilot early mathematics intervention study focusing on two Turkish families in the US. In this single-subject research, a multiple probe technique was used in order to examine the impact of the SRA DLM Math Pre-K CD-ROM in combination with parent scaffolding on young children’s number sense skills. Two parent-child dyads participated in this study. Two semi-structured interviews were conducted with the parents before and after the intervention. The child participants received 3 Mathematical Curriculum Based Measure (CBM) every week to monitor their progress. Building Blocks Assessment was used to identify whether children were able to generalize the number sense skills developed during work sessions in different settings. This measure was administered both before and after the intervention.
This study demonstrated that children’s and parents’ use of a software program where they work collaboratively at home resulted in increased number sense skills. These results were interpreted in the context of socio-cultural theory. The parents displayed different strategies during the mathematics work sessions, reflecting their own feelings about mathematics and technology.
Keywords
Early intervention; Mathematics; Single-subject; Educational technology; Parent-child collaboration
Thank you. I am more interested in case studies of mathematical thinking/learning/teaching at the undergraduate level, but I believe there is a girl in my seminar who might be interested in this paper.
Maher, C. A., & Martino, A. M. (1996). The development of the idea of mathematical proof: A 5-year case study. Journal for Research in Mathematics Education, 194-214.
and some relatively new papers:
Heyd-Metzuyanim, E. (2015). Vicious Cycles of Identifying and Mathematizing: A Case Study of the Development of Mathematical Failure. Journal of the Learning Sciences, (ahead-of-print), 1-46
Palatnik, A., & Koichu, B. (2015). Exploring insight: Focus on shifts of attention. For the Learning of Mathematics, 35, 2.
Thanks, Alik. I was aware of the Maher & Martino article. Thanks for the others. I am especially interested in case studies of undergraduates or graduate students learning mathematics.
We usually work with 9-to-11 year olds, but here (linked below) is a paper that looks at undergraduate statistics majors reasoning about a bin of marbles (Embodied Design, my 2009 ESM paper). I am also attaching an earlier AERA paper (2007) from the same project. You might find intriguing the appendix, in which the participant MK -- who is about to graduate the stats major in several weeks -- realizes how little she is able to model the real world.
Oh, and there's this very nice paper that I have my graduate students read:
Cifarelli, V. V., & Cai, J. (2005). The evolution of mathematical explorations in open-ended problem-solving situations. Journal of Mathematical Behavior, 24, 302-324.
te puedo sugerir los estudios elaborado por un colectivo de docentes encabezados por la Dra. Pilar Azcárate de la Universidad de Cádiz de matemáticas. ademas los estudios desarrollados por el Decanato de investigación de la Universidad de Stanford, USA. ademas los estudios del lDr. David Wagner de la Universidad de New Brunswick, Canada.