Factors that influence teachers learning to do interviews to understand students' mathematical understandings

Understanding students' understanding of mathematical ideas can inform mathematics teaching, and task-based interviews are one way in which teachers can learn more about their students' understandings. The CIME project was designed to empower mathematics teachers to use interviews to understand their students' mathematical understandings as well as to prepare teachers to use technology-intensive curricula. This study examined the influences on three high school mathematics teachers as they learned to use task-based interviews to understand students' mathematical understandings. The areas of teacher knowledge and conceptions that influenced the teachers we studied were: teachers' mathematical understandings and knowledge of technology and the perceived importance of curriculum topics; teachers' views of knowing mathematics; teachers' perceptions of students' characteristics and needs; and teachers' perceptions of interviewing and the role of questioning in interviews. This revised version was published online in August 2006 with corrections to the Cover Date.     

Semantic networking: The new kid on the block

This article briefly describes the SemNet? software and some of its uses as an educational and research tool, with emphasis on the similarities and differences between concept mapping and semantic networking. A semantic network captures (in part) each concept's position in psychological space, identifying both the other concepts to which it is connected and the nature of the links that bind them. Computer-based semantic networks differ from paper-and-pencil maps in that they are n-dimensional; each concept can be linked to many other concepts; relations are bidirectional; representations can include images, text, and sound; and nets can be very large. Disadvantages of SemNet? networks include (a) the difficulties in obtaining a clear overview and (b) the homogeneous nature of the representations, in which all links look alike. Advantages include the ability to integrate ideas across a large knowledge base, the ease and rapidity of net creation, the ease with which elements (concepts, relations, or propositions) can be found within nets, and the utility of nets as self-study tools. Concept mapping and semantic networking are complementary strategies that can be used effectively in tandem to help students learn, to help teachers teach, and to support cognitive research.     

English Language Learners and Learning Disabilities: Research Agenda and Implications for Practice

Although little is known about learning disabilities (LDs) in English language learners (ELLs), there is a substantial knowledge base about the identification, assessment, and intervention of and for LDs in monolingual native English‐speaking students. Building on this knowledge, participants at an October 2003 National Symposium on Learning Disabilities in English Language Learners were asked to suggest research questions, priorities, and suggestions on how to build the necessary infrastructure to address critical research needs. In the discussions that took place, important themes emerged: (1) identification and assessment of LD and/or reading disabilities (RD) in ELLs (ELL/Ds), (2) understanding of the language and literacy developmental trajectories of ELLs, (3) understanding of the individual and contextual factors affecting outcomes, (4) the intersection of all of these areas with neurobiology, and (5) developing and testing the effectiveness of interventions for learning disabilities in ELL/Ds. These themes, and the research agenda that was forged around them, are presented. In addition, the practice implications of this agenda are presented, along with some suggestions for current practice while we await future research findings.     

Wonderful secrets of nature. Natural knowledge and religious piety in Reformation Germany

Sixteenth-century Germany witnessed a tremendous flourishing of vernacular literature. An unprecedented number and variety of texts were produced for new groups of readers. This essay analyzes one underexplored genre of this vernacular literature: texts on the natural world. Numerous books on animals, plants, minerals, and natural marvels rolled off the German presses in this period, indicating a widespread curiosity about the natural world. These texts give valuable insight into the views of nature available to a broad lay audience, literate in German but not necessarily in Latin. They reveal a pervasive sense of nature as divinely created and a deep conviction that contemplation of the natural world would lead to greater piety. The divine and the mundane were thoroughly intertwined in vernacular natural histories. While other historians of science have seen the sixteenth century as a period of increasingly secular ways of thinking about nature, I argue for the persistence, and even the intensification, of profoundly religious attitudes toward the natural world.     

Girls' secondary education in Uganda: assessing policy within the women's empowerment framework

This paper makes the case that policies, such as the National Strategy for Girls' Education in Uganda (NSGE), intended to achieve gender equity in education for girls in developing countries, have limited relevance to, and impact on girls' actual educational experiences. Recent considerations of girls' education acknowledge that gender equity within education is more than access to schooling; it entails the cultivation of capabilities necessary for girls to participate fully, actively and equally in all aspects of their societies. Drawing on a longitudinal, ethnographic policy research case study with 15 Ugandan schoolgirls in rural Masaka District, Uganda, from August 2004 to September 2006, I explore the girls' educational experiences in relationship to the NSGE. I employ the Women's Empowerment Framework (WEF) to evaluate the NSGE with respect to the extent to which its interventions are ‘empowering’ for girls.     

ACHIEVING PUBLIC SCHOOLS

Public schools are functionally provided through structural arrangements such as government funding, but public schools are achieved in substance, in part, through local governance. In this essay, Kathleen Knight Abowitz explains the bifocal nature of achieving public schools; that is, that schools are both subject to the unitary Public compact of constitutional principles as well as to the more local engagements with multiple publics. Knight Abowitz sketches this bifocal nature, exploring both the unitary ideal and its parameters, as well as the less understood forms of multiple, organic publics that come into being in response to localized problems in schools or districts. These publics often fail to realize their potential in the development of increased capacity for enhanced teaching and learning. The essay ultimately points to a practical application: that educational leadership of all types, and with some very specific kinds of habits and skills, is needed to help achieve public schools.     

Taking a Different Route: Contribution of Articulation and Metacognition to Intervention With At-Risk Third-Grade Readers

This study compared the impact of 2 types of small-group interventions targeting below-level 3rd-grade students. The study compared WordWork decoding and spelling instruction (Calfee, Miller, Norman, Wilson, &; Trainin, 2006 Calfee, R. C., Miller, R. G., Norman, K., Wilson, K., &; Trainin, G. (2006). Learning to do educational research. In M. A. Constas &; R. J. Sterenberg (Eds.), Translating theory and research into educational practice: Developments in content domains, large scale reform, and intellectual capacity (pp. 77–103). New York, NY: Routledge. [Google Scholar]; Calfee &; Patrick, 1995 Calfee, R. C., &; Patrick, C. L. (1995). Teach our children well: Bringing K–12 education into the 21st Century. Stanford, CA: Stanford Alumni Assoc. [Google Scholar]), which includes attention to articulation and metacognition, with a more traditional phonological awareness program (Torgesen &; Bryant, 1993 Torgesen, J. K., &; Bryant, B. R. (1993). Phonological awareness training for reading. Austin, TX: Pro-Ed. [Google Scholar]). University education students delivered the interventions with equal instructional time and fidelity, to both groups. Students in both intervention groups engaged in repeated readings of connected text to promote transfer. The impact of training was assessed through decoding, spelling, and oral reading fluency measures. Results indicated that WordWork produced more positive results in decoding, spelling, and fluency, and had significantly fewer treatment resisters.