“Providing a richness of resources unavailable in any classroom, informal science institutions across the country have developed exemplary partnerships with public schools—and have room for more.” Read this brief to explore how out-of-school learning can complement and enhance what is being taught in the classroom.
“When students from non-mainstream backgrounds receive equitable learning opportunities, they are capable of attaining science outcomes comparable to their mainstream peers. The same is true for mathematics and, presumably, for other STEM subjects, as well.” Read this brief to dive further into what can be done to improve the academic achievement of students from all backgrounds.
“Specialized schools still represent a tiny fraction of U.S. public education. However, they may not only produce better results than traditional programs; they also can serve as models for schools seeking to improve.” Read this brief to investigate further into what we can learn from specialized STEM-focused learning institutions.
“Recent research emphasizes that teacher quality alone cannot improve student achievement at scale. School leadership, staff collaboration, and a positive climate are among essential organizational elements that contribute to meaningful change.” Read this brief to learn more about suggested methods for properly supporting STEM educators.
A demonstration of the SmartGraphs software, and features of the authoring system, is available here: Authoring Demo. Concord is also making the authoring system available to any NSF-funded project that wants to incorporate Web-based SmartGraphs activities into its work. Activities run directly in a browser, so there is nothing to download or install. See http://smartgraphs.org for details about SmartGraphs.
SmartGraphs is free, open source software that helps students understand graphs and concepts represented in graphs (e.g., slope, velocity, half-life, global warming).
Jiang, Z. & White, A. (2012). An efficacy study on the use of dynamic geometry software. In the Proceedings of the 12th International Congress on Mathematical Education.
A four-year research project funded by NSF examines the efficacy of an approach to high school geometry that utilizes dynamic geometry (DG) software and supporting instructional materials to supplement ordinary instructional practices. It compares effects of that intervention (the DG approach) with standard instruction that does not make use of computer tools. This paper reports a study conducted during the second year of the project. Student learning is assessed by a geometry test and other tests. Data for answering the research questions of the study are analyzed mainly by appropriate HLM methods. The analysis on the geometry test data is discussed in detail. The experimental group significantly outperformed the control group in geometry performance.
Jiang, Z. & O’Brien, G. (2012). Multiple Proof Approaches and Mathematical Connections. Mathematics Teacher, 105 (8), pp. 586–5
One of the most rewarding accomplishments of working with preservice secondary school mathematics teachers is helping them develop conceptually connected knowledge and see mathematics as an integrated whole rather than isolated pieces. The NCTM Connections Standard (2000) states: “Problem selection is especially important because students are unlikely to learn to make connections unless they are working on problems or situations that have the potential for suggesting such linkages” (p. 359).
To help students see and use the connections among various mathematical between this problem situation and various mathematical topics. In addition, their explorations
of multiple approaches to proofs led beyond proof as verification to more of illumination and systematization in understandable yet deep ways (de Villiers
1999); expanded their repertoire of problemsolving strategies; and developed their confidence, interest, ability, and flexibility in solving various types of new problems. These benefits, in turn, will be passed on to their own students.
Throughout my career, I have collaborated with dedicated and hard-working teachers who have opened their classrooms so that others could learn from them. Yet, one teacher, Sara, stood out from all the others. From the first time I visited Sara's classroom in 1992, I knew she was extraordinary--a teacher who could inspire a Hollywood production. Sara taught Latino English language learners (ELLs) in a low-income urban neighborhood in ways that I had not observed or read about in the literature. She did not reduce the curriculum's level of complexity, especially its language, even though the students were ELLs. Instead, Sara engineered a mathematics learning environment where students actively engaged in collaborative problem solving, oral and written communication and justification, and independent thinking. To give other practitioners insight into how Sara facilitated the participation of ELLs during mathematics, I share my experiences of researching Sara's fifth-grade classroom and provide images of her teaching.
A middle school mathematics teacher taught native English speakers for the first fifteen years of her career. As immigrants from other countries moved into the community and student demographics began to change, she realized that she was not prepared to teach mathematics to students who were English language learners (ELLs).
The demands that she faced are not unique. The recent growth of the ELL population in the United States has challenged teachers to identify effective strategies to meet the needs of ELL students and their families.
Equity in mathematics education should be one of the most important concerns of
teachers, administrators, policy makers, mathematicians, and mathematics educators. In fact, the Association of Mathematics Teacher Educator (AMTE), the National Council of Supervisors of Mathematics (NCSM), and the National Council of Teachers of Mathematics NCTM), three national organizations that support teacher educators, mathematics teachers, and teacher leaders, have made equity a priority for their organizations (Gutierrez et al. 2008). Position statements, standards documents, and various books identify key equity issues and recommend directions compelling all involved in the mathematics education of students to become aware of equity issues and to take steps toward eliminating the inequities that plague K-16 education.
