In a conference at the Mathematical Sciences Research Institute, mathematicians, maths education researchers, teachers, test developers, and policymakers gathered to work through critical issues related to mathematics assessment. The meeting was attended by more than 40 participants with broad geographic representation from all continents. In ecological terms, the biosphere is comprised of interconnected and interrelated ecosystems. They examined: the challenges of assessing student learning in ways that support instructional improvement; ethical issues related to assessment, including the impact of testing on urban and high-poverty schools; the different and sometimes conflicting needs of the different groups; and different frameworks, tools, and methods for assessment, comparing the kinds of information they offer about students' mathematical proficiency. A framework for examining mathematically productive classrooms is given and exemplified, with the exemplification providing a point of departure for the kinds of analytic work that might be done.
Research in collegiate mathematics education. My goal is to be as honest about what I know, and what I don't know, as I can be. It concludes with a discussion of systemic issues that will be faced by any pedagogical approach focusing on having students engage in reasoning and sense-making in the classroom. Problem Solving in The United States, 1970-2008: Research and Theory, Practice and Politics. In curricular terms, the problem solving research of the 1970s and 1980s see, e. Mathematical proficiency for citizenship Bernard Madison; 9. This article reports on the creation and validation of a more informative test rooted in college readiness standards in mathematics.
In this article, the author shares his thoughts about who he is as a teacher and what his goals as a teacher turn out to be. This null result is welcome news and sets the stage for testing the benefits of the Analysis system. This article characterizes my use of video as a tool for research, design and development. The main concerns are questions of what theories and models of cognitive and behavioral phenomena such as teaching-in-context might look like and what standards should be used to judge work of this sort. Abstract: This volume presents the results of discussions among mathematicians, maths education researchers, teachers, test developers, and policymakers who gathered to work through critical issues related to mathematics assessment. Lisbon, Portugal: Associacao de Professores de Matematica. There are issues of politics, turf, and sometimes unreasonable expectations on the part of the school district and the volunteers who work with it.
Bibliography Includes bibliographical references and indexes. This gives rise to a conjectural characterization of three somewhat overlapping classes of teachers university mathematicians, expert teachers, and proficient teachers , with the suggestion that professional development might profitably differ in the ways that it is targeted to these three groups. It highlights the kinds of information that different assessments can offer, including many examples of some of the best mathematics assessments worldwide. Research agenda emerging from the conference. Beyond Words to Mathematical Content: Assessing English Learners in the Mathematics Classroom, by Judit Moschkovich, 345-352 21. It describes the ways that each framework assesses selected instances of mathematics instruction, documenting the ways in which the three frameworks agree and differ. Making Meaning in Algebra: Examining Students' Understandings and Misconceptions, by David Foster, 163-176 13.
Kaput, Jim and Schoenfeld, Alan H. Issues and tensions in the assessment of mathematical proficiency Alan H. Before providing a prospective outline of such a theory, we note that theories of proficiency have been used in a number of ways in mathematics education. New curricula embodying ideas from the research were created in the 1990s and began to enter the marketplace. The Case of Fractions; Section 6 The Importance of Societal Context; Epilogue What Do We Need to Know? Assessing the strands of student proficiency in elementary algebra William McCallum; Part V.
We coded videos of small groups in order to measure their collaboration. He asserts that teachers have the potential to affect some part of their students' self-worth, of their futures, and of the ways in which they engage in the society. Mathematics Education: Paths and crossroads, pp. Assessment in the real world: the case of New York city Elizabeth Taleporos-- 21. Cambridge University Press Cambridge xx+391. How Can It Be Measured? Learning from Assessment, by Richard Askey, 125-136 10. Mathematics education is at a turning point.
It highlights the kinds of information that different assessments can offer, including many examples of some of the best mathematics assessments worldwide. As always, a few people stood around the back of the plane, some stretching or otherwise occupied. Aspects of the Art of Assessment Design, by Jan de Lange, 99-111 8. It then proceeds with a discussion of curricular trends in the United States over the past decades, and thumbnail descriptions of changes in the Netherlands, Great Britain, Germany, France, China, and Japan. This volume presents the results of the discussions.
Assessment of mathematics learning in France Michele Artigue-- 17. The No Child Left Behind Act: Political Context and National Goals, by Susan Sclafani, 23-27 Section 2: Perspectives on Mathematical Proficiency 4. In the United States, African Americans, Latinos, and Native Americans have lower success rates and higher drop-out rates in mathematics than other racial or ethnic groups. Suppose a person is engaged in a complex activity, such as teaching. The authors succeed in showing the complexity of the problem of assessing mathematical proficiency and the difference, sometimes dramatic, in the perception of this issue by various stakeholders.
Learning from assessment Richard Askey; 10. The presentations were scheduled for half an hour and led to intensive discussion afterwards. This volume presents the results of the discussions. In a conference at the Mathematical Sciences Research Institute, mathematicians, math education researchers, teachers, test developers, and policymakers gathered to work through critical issues related to mathematics assessment. This article begins by proposing desiderata for frameworks and rubrics used for observations of classroom practice. The bulk of the paper is devoted to a series of examples from the Mathematics Assessment Project that illustrate issues of methods, and the unrealized potential for advances.