eric.ed.gov har udgivet: This final report describes activities and accomplishments of a project which developed, implemented, and evaluated the effectiveness of a microcomputer/videodisc math instructional management system for grades K-4. The system was designed to operate on an APPLE II microcomputer, videodisc player, and input-output devices. It included three subsystems: (1) a math assessment subsystem; (2) a math instruction/management subsystem; and (3) a staff development subsystem. The system was developed to support diagnostic/prescriptive teaching for mastery learning. Evaluation of the system was conducted both with English-speaking and Spanish-speaking students. The assessment system was compared to a parallel paper and pencil criterion-referenced test. Additionally, student data were used to determine difficulty level, validity, and reliability of each item in the assessment component. Evaluation indicated the assessment component was valid and reliable… Continue Reading →
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eric.ed.gov har udgivet: States are in a crucial phase of implementing the Common Core State Standards (CCSS), which outline the knowledge and skills that students in grades kindergarten through 12 are expected to learn in mathematics and English language arts (ELA) to be prepared for college and careers. As of July 2013, 45 states and the District of Columbia have adopted these voluntary, state-developed standards in both subjects, and an additional state, Minnesota, has adopted the CCSS in ELA only. To learn more about states’ strategies, policies, and challenges in this third year of implementing the CCSS, the Center on Education Policy (CEP) at The George Washington University conducted a comprehensive survey of deputy superintendents of education or their designees in February through May of 2013. Forty states responded, including… Continue Reading →
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eric.ed.gov har udgivet: Mastering algebra is important for future math and postsecondary success. Educators will find practical recommendations for how to improve algebra instruction in the What Works Clearinghouse (WWC) practice guide, “Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students”. The methods and examples included in the guide focus on helping students analyze solved problems, recognize structure, and utilize alternative approaches to solving algebra problems. Each recommendation includes the level of supporting research evidence behind it, examples to use in class, and solutions to potential implementation roadblocks. Teachers can implement these strategies in conjunction with existing standards or curricula. In addition, these strategies can be utilized for all students learning algebra in grades 6-12 and in diverse contexts, including during both formative and summative assessment. Administrators… Continue Reading →
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eric.ed.gov har udgivet: The objective of this article is to investigate meaning and relevance in the context of adult developmental math learning and instruction. In this case study, at the Art Institute of San Francisco, 12 vocational instructors and four math learners are interviewed on their early and current math experiences. During the semi-structured interviews, the adult math learners and vocational instructors reminisce on math in their learning and in their work. The interview transcripts are later analyzed for constructivist themes or codes. From instructor interviews, there appears to be a strong correlation between instructor views of meaning and learning and constructivist principles. There is a weaker correlation of these themes with the views of the adult learners, and there is evidence these developmental learners show signs of cognitive overload… Continue Reading →
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eric.ed.gov har udgivet: The purpose of this two-year observational study was to determine if the use of technology and intervention groups affected fourth-grade math scores. Specifically, the desire was to identify the percentage of students who met or exceeded grade-level standards on the state standardized test. This study indicated possible reasons that enhanced conceptual understanding within the study group at a Title I elementary school. Throughout the two-year time period, the classroom teachers created mathematics awareness through technology, teamwork, engagement and rigor. The findings revealed a significant percent of fourth-grade students who used technology and participated in specific learning activities met or exceeded grade-level standards in math as measured by the Washington State standardized test. Link til kilde
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eric.ed.gov har udgivet: Today, mathematics education faces two major challenges: raising the floor by expanding achievement for all, and lifting the ceiling of achievement to better prepare future leaders in mathematics, as well as in science, engineering, and technology. Many students lack access to higher-level mathematics courses and teaching at all levels of pre-college schooling. This is unacceptable in the face of the ever-expanding technical demands posed by higher education and the 21st-century job market. Research reveals that strong academic experience is needed for both college and the workforce. Raising the cognitive demand in the curriculum is necessary for enhancing students’ career prospects. Recent trends show progress, but curriculum policies that limit course options restrict opportunities to learn for traditionally underserved students. This problem is compounded by the sorting of… Continue Reading →
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eric.ed.gov har udgivet: During the last reform, Slovakia has reduced geometry in curriculum in primary mathematics education. Pre-school education schools devote more time to geometry in curriculum, but this is not mandatory for all the children. In the primary schools, teachers devote very little lessons time to this problem. These lessons are mainly focused on technology of drawing rather than on creating the right conceptions, which results in below the average scores on international test results in Slovak students. One possible solutions is to improve the level of geometrical knowledge of primary education teachers and pre-service primary education teachers. This paper is focused on the knowledge of plane geometric figures and their properties. We found out that pre-service teachers in primary education have many misconceptions that started when these students… Continue Reading →
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eric.ed.gov har udgivet: The paper presents the results of a study based on a training program for in-service mathematics teachers, targeting to improve their skills of problem posing and qualitative appreciation of problems. During this training program, we found an improvement in participating teachers’ availability to discuss and analyse math problems, but also resistance to adapt posed tasks to the students’ thinking. [For the complete proceedings, see ED597799.] Link til kilde
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eric.ed.gov har udgivet: Since the 1990s, the United States has fallen behind on college completion, slipping from first in the world in 1995 to 10th in 2016. A major factor in the country’s low rates of college completion is a lack of true college preparation in the K-12 education system. On the National Assessment of Educational Progress, the math achievement of 12th graders has remained stagnant since 2005, and reading achievement is actually 5 scale score points lower than it was in 1992, more than 25 years ago. States across the country have taken important steps to reverse this trend, and some are successfully raising standards for students in reading and math by adopting the Common Core State Standards, an effort initiated by governors in 2010. These standards describe what… Continue Reading →
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eric.ed.gov har udgivet: In this technical report, we describe the results of a study of mathematics items written to align with the Common Core State Standards (CCSS) in grades 6-8. In each grade, CCSS items were organized into forms, and the reliability of these forms was evaluated along with an experimental form including items aligned with the National Council of Teachers of Mathematics (NCTM) Focal Point Standards. The purpose of the experimental measure was to evaluate how previously existing math items functioned empirically relative to the CCSS items. All included NCTM items were previously rated as linked with the CCSS. Analyses included Rasch modeling to explore the difficulty and functioning of both sets of items, classical reliability statistics (Cronbach’s alpha, testretest, and alternate form reliability) and two sets of Generalizability… Continue Reading →
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