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This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.
This volume is intended for researchers, curriculum developers, policy makers, and classroom teachers who want comprehensive information on what students at grades 4, 8, and 12 (the grades assessed by NAEP) can and cannot do in mathematics. After two introductory chapters on the design of NAEP, the volume contains a chapter on the challenges in analyzing NAEP data at the item level followed by five chapters that report 2005 through 2013 student performance on specific assessment items. These chapters are organized by content area and then by topic (e.g., understanding of place value, knowledge of transformations, ability to use metric and U.S. systems of measurement) and thus provide baselin...
In recent years, funding agencies like the Institute of Educational Sciences and the National Science Foundation have increasingly emphasized large-scale studies with experimental and quasi-experimental designs looking for 'objective truths'. Educational researchers have recently begun to use large-scale studies to understand what really works, from developing interventions, to validation studies of the intervention, and then to efficacy studies and the final "scale-up" for large implementation of an intervention. Moreover, modeling student learning developmentally, taking into account cohort factors, issues of socioeconomics, local political context and the presence or absence of interventi...
Ch. 1. Introduction : Assessment matters / Wong Khoon Yoong, Berinderjeet Kaur -- ch. 2. Using a multi-dimensional approach to understanding to assess students' mathematical knowledge / Denisse R. Thompson, Berinderjeet Kaur -- ch. 3. Assessing problem solving in the mathematics curriculum : A new approach / Toh Tin Lam [und weitere] -- ch. 4. Assessing conceptual understanding in mathematics with concept mapping / Jin Haiyue, Wong Khoon Yoong -- ch. 5. Using journal writing to empower learning / Berinderjeet Kaur, Chan Chun Ming Eric -- ch. 6. Implementing alternative assessment in the lower primary mathematics classroom / Yeo Kai Kow Joseph -- ch. 7. Open-ended tasks and assessment : The n...
Richard Prouty (d.1708) immigrated from England to Scituate, Massachu- setts during or before 1667, and married Damaris Torrey in 1676. Descendants and relatives lived in New England, New York, Ohio, Indiana, Kansas, Iowa, Wisconsin, Minnesota, North Dakota and elsewhere.
The third in the series of yearbooks by the Association of Mathematics Educators in Singapore, Assessment in the Mathematics Classroom is unique as it addresses a focused theme on mathematics education. The objective is to encourage teachers and researchers to include assessment of non-cognitive attributes and to use techniques in addition to paper-and-pencil tests that focus on typical problems.Several renowned international researchers in the field have published their work in the book. The thirteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment in their lessons to bring about meaningful learning outcomes. A recurring theme in most chapters is the widely circulated notions of formative assessment and assessment for learning. The book makes a significant contribution towards assessment in mathematics. It is a good resource for research students and a must-read mathematics educators.
In the book, the relationship between affect and modeling is discussed because, as educational psychologists have suggested for decades, affect directly influences achievement. Moreover, given the importance of mathematical modeling and the applications to high level mathematics, it provides the field of mathematics psychology with insight regarding affect, in relation to mathematical modeling. By doing so it helps determine the degree to which understanding of mathematics and understanding affect in mathematical modeling episodes may have a direct effect on cognition.
THE REAL WORLD OF MATHEMATICS, SCIENCE, AND TECHNOLOGY EDUCATION In this Preface, I would like to focus on what I mean by “education” and speak about the models and metaphors that are used when people talk, write, and act in the domain of education. We need to look at the assu- tions and processes that the models and metaphors implicitly and explicitly contain. I feel we should explore whether there is a specific thrust to mat- matics education in the here and now, and be very practical about it. For me education is the enhancement of knowledge and understanding, and there is a strong and unbreakable link between the two. There seems l- tle point in acquiring knowledge without understanding its meaning. Nor is it enough to gain a deep understanding of problems without gaining the appropriate knowledge to work for their solution. Thus knowledge and understanding are each necessary conditions for the process of education, but only when they are linked will the process bear fruit. Only in the b- anced interplay of knowledge and understanding can we expect to achieve genuine education.
The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned ...