eric.ed.gov har udgivet: Each child will not become senior mathematicians in the future but all children have the right to get learning opportunities which he/she can develop his/her mathematical understanding at school. The success of children in mathematics is closely related to how they are taught mathematics. At this point, the role of teaching mathematics stands out in elementary school since they first encounter mathematics as a subject. Elementary school is the place where students first experience success or failure in mathematics. Therefore, the fundamentals of students’ tendencies towards mathematics which will set and affect their future learning life are also laid here. The present study aims to examine the perceptions of elementary school students towards learning mathematics by means of their drawings. Drawings are tools for children to express… Continue Reading →
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eric.ed.gov har udgivet: This project entailed a three-year efficacy evaluation of the Computer and Team Assisted Mathematical Acceleration (CATAMA) Lab developed by the Center for Social Organization of Schools at Johns Hopkins University. The CATAMA Lab was proposed as an immediate and practical approach to addressing the different types of math deficits held by students at urban high-poverty schools. The Lab required only 1 teacher per school reducing staff and professional development requirements. It used multiple instructional techniques (including individualized computer instruction, direct instruction, pair and team learning, and individual instruction) to teach math concepts and skills. By taking the place of an elective it allowed students to continue with their on-grade math class. For a more detailed description of the Lab see Appendix 2. The original goal of the… Continue Reading →
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eric.ed.gov har udgivet: A project to develop special training materials to introduce college teachers to the math-language approach is reported. The materials link language learning techniques to mathematics concept formation and are intended for teachers of limited-English-proficient (LEP) students. Specialists in both fields produced a three-part training package consisting of an instructor’s guide and a video program, to be used as an introduction to and rationale for using the approach, and as a general blueprint for a text and workbook produced by the Center for Applied Linguistics and entitled “English Skills for Algebra.” The report describes activities undertaken in developing the materials and assessing their effectiveness as compared to the conventional workshop method of teacher training. Results of interviews and surveys indicate that the materials provide the necessary classroom guidance… Continue Reading →
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eric.ed.gov har udgivet: Beneath educational pedagogies lie philosophical assumptions about the nature of learning, knowledge, truth and morality. These different philosophies form the foundations of a variety of instructional programs in all academic disciplines. This paper addresses constructivism, a recent attempt to provide a philosophical pedagogy which affects classroom instruction, teacher training, curricululm development, and educational research. It specifically looks at constructivist theory as it relates to mathematics and science education. In so doing, the paper examines: (1) epistemology in the classroom; (2) epistemology in education research; (3) epistemology in mathematics and science (faith and skepticism); (4) Piaget’s constructivist epistemology; and (5) implications for education. A bibliography is included. (TW) Link til kilde
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eric.ed.gov har udgivet: We explored whether the knowledge of hybrid teaching (conceptions) or incorrect knowledge (misconceptions) or lack of knowledge differed among faculty from various teaching areas–education, social sciences, business, art and humanities, and math and sciences–in New York. One hundred twenty-eight faculty members responded to a test of their knowledge of hybrid learning. Using a one-way ANOVA, we found no significant differences between conceptions, misconceptions, and lack of knowledge among faculty. However, their conceptions differences approached significance (p < 0.074). We evaluated faculty levels of trainability. The results of frequency analysis suggested that professors of math and sciences, and business tended to understand more online or hybrid environments than professors of other areas did. However, professors of art and humanities, and social sciences showed high trainability scores. Link til… Continue Reading →
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eric.ed.gov har udgivet: Several studies on learning mathematics for rural area’s student indicate that students have difficulty in understanding the concept of division operation. Students are more likely to be introduced by the use of the formula without involving the concept itself and learning division separate the concrete situation of learning process. This underlies the researcher to design division operation learning in the Mathematics of GASING (Math GASING), which always starts from concrete to abstract level. The research method used is a design research which describes how the Math GASING make a real contribution of students understanding in the concept of division operation. Link til kilde
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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: This paper articulates a stance on the study of students’ meaningful mathematics understanding with multiple representations. We integrate Thompson’s theory of quantitative reasoning and Dreyfus’ theory of multiple representations in our approach to frame and conduct empirical investigations of the study of meaningful understanding of function. We provide empirical data to support our approach to examining representational fluency and functional thinking from this networked stance. Our research articulates how the coordination of theories can be productive in informing the design, conduct, and analysis of contexts aimed to understand students’ meaningful math learning with a focus on functional thinking. [For the complete proceedings, see ED606556.] Link til kilde
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eric.ed.gov har udgivet: The importance of mathematical concept development and language is recognized early in children’s schooling as they mature through shape and counting experiences. The reader may recall instances of a youngster referring to a “corner” of a shape before the reader has the language of vertex. This language precision needs to continue to grow as the learner moves through arithmetic into algebra, geometry, and further mathematics. This precision is essential and is reinforced in the common core standards for mathematics (2010). If the primary goal is to facilitate proficiency in math for all students (including students with disabilities), there needs to be an emphasis on the deeper conceptual development and the uniquely precise nature of mathematics language both at the pre-service and in-service levels. This is essential as… Continue Reading →
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eric.ed.gov har udgivet: Teacher preparation curriculum at Technion–Israel Institute of Technology (Israel) includes courses intended to bridge the gap between the pure mathematics courses and those in psychology. The focus of this paper is an experimental program for one of these courses and data collected while implementing it. This is a second report on a naturalistic study in which mathematical paradoxes were used in the preservice education of high school mathematics teachers. The potential of paradoxes was tested for improving student-teachers’ mathematical concepts and raising students pedagogical awareness of the role of falacious reasoning in the development of mathematical knowledge. Discussions include the psychological and mathematical background, the experimental courses and data collection procedures, the students, and findings. Examples of paradoxes are given. Included are 36 references. (DC) Link til… Continue Reading →
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