By Erna Yackel, Koeno Gravemeijer, Anna Sfard, Paul Cobb
This ebook offers principles built via Paul Cobb and his colleagues that experience considerably encouraged the sector of arithmetic schooling over the last 3 many years. during this quantity, they're introduced jointly for readers to offer a transparent view of the way the sector has replaced in the course of that point. in the course of his profession Cobb moved from taking a look at a unmarried kid's mathematical reasoning, to a category studying a specific mathematical subject, to a bunch of faculty lecturers, and to a college district with all its lecturers, academics' lecturers and principals. It used to be his desire to make a true distinction and his regularly revised realizing of what it takes to take action that dictated this sluggish broadening of the unit of study. This improvement is gifted during this publication with the aid of chronologically prepared formerly released papers, every one of which represents a different degree during this highbrow trip and is preceded through a brand new remark that sheds extra mild at the methods of reconceptualization and therefore is helping the reader to appreciate the explanations, mechanisms, and results of researchers’ consistent pursuit of latest insights. This booklet hence demonstrates how learn develops and evolves while thought and perform are taken as collectively informing features of the researcher’s paintings. during this feel, the amount is suitable to audiences essentially drawn to functional points of arithmetic schooling in addition to to these whose fundamental pursuits lie in theoretical developments.
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Additional info for A Journey in Mathematics Education Research: Insights from the Work of Paul Cobb
In a sense, the reader has an opportunity to hear first hand about the complexities and the messiness of field-based research. Readers may elect to read individual parts of the book in isolation. However, by reading the book in its entirety, the reader gains a greater appreciation of how and why the research agenda unfolded as it did and gains insights into how an exemplary research program evolves over time. References Bloom, B. S. (1968). Learning for mastery (UCLACSEIP). Evaluation Comment 1(2), 1–12.
Most importantly, Ernst has provided us with a model of what it means to be a scholar. It is a form of scholarship that permeates the very essence of how one understands oneself, others, and the world. He has taught us many things. One of the simplest and yet most profound is that there is no substitute for sustained, first-hand engagement with the phenomena that we seek to understand. Ernst’s influence on research in science (and mathematics) education is far reaching and ranges from basic issues of epistemology, to the methodologies we use, to how we think about cognition and communication.
Steffe on a research project funded by the US National Science Foundation, in which they were investigating the development of young children’s arithmetical reasoning. I asked Les to be my major professor so that I could work on this project as a research assistant. Les kindly agreed and so I quickly became immersed in the world of early number learning and left thoughts of focusing on algebra behind. P. edu E. Yackel et al. V. 2011 9 10 P. Cobb The research project that Les directed was called Interdisciplinary Research on Number (IRON) and also involved John Richards,1 a philosopher of mathematics, and Pat Thompson, a senior doctoral student.
A Journey in Mathematics Education Research: Insights from the Work of Paul Cobb by Erna Yackel, Koeno Gravemeijer, Anna Sfard, Paul Cobb