eric.ed.gov har udgivet: For the past five years, Vermont has been developing an innovative statewide assessment system in which portfolios of student work in mathematics and writing are a key element. The use of mathematics portfolios, particularly in elementary school, is a novel aspect of the assessment system. This study examines the elementary school mathematics portfolio assessment and its instructional impact by exploring the conceptions of problem solving, the knowledge of problem-solving strategies, the evaluation of problem-solving tasks, and the instructional practices of 20 fourth-grade teachers. Teachers indicated that the portfolio assessment program has enhanced their understanding of mathematical problem solving and broadened their instructional practices, but that they have encountered difficulty in understanding certain components of the reform and making the relevant changes. Teachers did not share a common… Continue Reading →
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eric.ed.gov har udgivet: A set of parent-child math activities designed to help busy, working parents do math with their children as part of everyday situations such as cleaning up and making dinner included basic steps, variations, and information on working with children were developed for families with elementary grades children aged approximately 5 to 11 and distributed at a variety of workplaces to groups of parents who had differing occupations, education levels, ethnicity, and family structures. The activities had titles such as How Much is on the Floor?, How Much Longer?, What’s Fair?, How Much Do We Save?, Wish List, and Number of the Day. Seven parents were interviewed 2-4 weeks after they had completed the activities with their children and the ways in which they used and adapted the… Continue Reading →
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eric.ed.gov har udgivet: An analysis of a student teacher’s lesson in multiplication for Norwegian second graders explored why the lesson did not succeed. Two interpretive frameworks were used to analyze the lesson: teaching as a complex cognitive activity and teaching as improvisation. The student teacher, Marte, believed in child-centered education and tried to create situations in the classroom where her children experienced success. The analysis of student and teacher exchanges showed that Marte’s class derailed because her pupils offered unexpected types of comments for which she was not prepared; she used the dialogue teaching method which created an unstable and unpredictable classroom environment; and in her responses to the unexpected answers she attended to the wrong things. She was also derailed due to lack of pedagogical content knowledge in mathematics.… Continue Reading →
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eric.ed.gov har udgivet: In a series of mathematics education workshops in which teachers from adult basic education and vocational education worked together to design teaching situations on particular contents in mathematics in order to make explicit and bring into reflection the teaching strategies used by each group. The workshops constituted a common space of interaction for jointly designing teaching situations and creating common discourses that narrowed the distance between normative curriculum and actual teaching or real curriculum. In order for adult educators to teach effectively they must fulfill the following conditions: (1) they must provide a context for the teaching; (2) the knowledge taught must constitute a solution adapted to the problem; (3) there must be didactic variables that lead to the development of logic in a fruitful way; and… Continue Reading →
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eric.ed.gov har udgivet: The article begins with a brief overview of the situation throughout the world regarding problem solving. The activities of the ProMath group are then described, as the purpose of this international research group is to improve mathematics teaching in school. One mathematics teaching method that seems to be functioning in school is the use of open problems (i.e., problem fields). Next we discuss the objectives of the Finnish curriculum that are connected with problem solving. Some examples and research results are taken from a Finnish-Chilean research project that monitors the development of problem-solving skills in third grade pupils. Finally, some ideas on “teacher change” are put forward. It is not possible to change teachers, but only to provide hints for possible change routes: the teachers themselves should… Continue Reading →
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eric.ed.gov har udgivet: This submission contains the Proceedings of the 2012 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Laval University in Québec City, Québec. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the Study Group are: to advance education by organizing and coordinating national conferences and seminars to study and improve the theories of the study of mathematics or any other aspects of mathematics education in Canada at all levels; and to undertake research in mathematics education and to disseminate the results of this research. These proceedings include plenary lectures, a panel discussion, working group reports, topic session descriptions, new PhD reports, and summaries of ad hoc… Continue Reading →
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eric.ed.gov har udgivet: The objective of preschool teachers should be to determine the mathematical ability of preschool children and improve their skills using meaningful teaching methods through pictorial demonstration and manipulative models. Children who receive number concept instruction through hands-on play models, activities, and discussion show greater understanding in math skills. Teachers should be striving to create a learning environment for their students and help them fulfill their needs through their playful activities. This paper discusses how to integrate math activities into preschool classrooms. (ASK) Link til kilde
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eric.ed.gov har udgivet: The purpose of this practicum was to increase motivation and self-confidence of grade four students in mathematics achievement. Measured were the increase in the number of students displaying mastery of the times-tables, increase in the number of students making a gain on a math post-test, and increase in the number of students liking mathematics. Administered to the students were a math attitude questionnaire and a math pretest on basic math skills to determine the students’ attitude toward math and to determine the students’ performance level. Mental Math activities, math games design contests, in-class competitions, grade level competition, computer, calculators, systematic reviews, student-teacher interaction, and projects were used to help increase students’ interest and to increase math achievement. This study includes the following chapters: (1) “Introduction”; (2) “Study… Continue Reading →
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eric.ed.gov har udgivet: Constructivist approaches to mathematics instruction based on the standards of the National Council of Teachers of Mathematics (NCTM) have been widely advocated and are expanding in use. However, many educators express a need for constructivist approaches that provide specific student materials, assessments, teachers’ manuals, professional development, and other supports to enable a broad range of teachers to succeed with a broad range of children. MathWings, part of a comprehensive school reform effort funded by New American Schools, was designed to accomplish this goal. In grades 3 through 5, MathWings provides a practical, comprehensive approach based on the NCTM standards. Three evaluations have examined the impact of MathWings. One, involving four rural Maryland schools, found substantially greater gains on the mathematics sections of the Maryland School Performance Assessment… Continue Reading →
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eric.ed.gov har udgivet: Literacy skills are critical to students’ academic achievement and setting them on a path to successful high school graduation and readiness for college and careers. “Passport Reading Journeys” [TM] is a supplemental literacy curriculum designed to help improve reading comprehension, vocabulary, word study, and writing skills of struggling readers in grades 6-12. Lessons incorporate both teacher-led instruction and technology, including whole-class and small-group instruction, independent reading, video segments, and independent computer-based practice. The curriculum includes a series of two-week, ten lesson instructional sequences on topics in science, math, fine art, literature, and social studies. Each sequence is themed as an expedition or journey for students. This What Works Clearinghouse (WWC) report, part of the WWC’s Adolescent Literacy topic area, explores the effects of “Passport Reading Journeys” [TM]… Continue Reading →
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