eric.ed.gov har udgivet: The rural area’s student difficulties in learning the concept of number operation had been documented by several studies, especially for the case of multiplication. The teacher typically introduces the multiplication concepts using the formula without involving the concept itself. Furthermore, this study aims to design learning trajectory on multiplication operations in the Mathematics of GASING (Math GASING) by focusing more on the concept itself than the formula and by starting from the informal to a formal level of teaching. Design research used as the research method to solve this problem consisting of three phases, namely preliminary design, teaching experiment, and retrospective analysis. The research results show that the Math GASING has a real contribution for students to understanding and mastering in the concept of the multiplication operations.… Continue Reading →
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eric.ed.gov har udgivet: In this study, the expectations of middle school students’ parents regarding to “conceptual understanding and active student participation” “positive attitude and behavior attitude” and “authority and rule-oriented teaching” were examined. A valid and reliable threefactor instrument developed by the Aytekin, Baltaci, Altunkaya, Kiymaz and Yildiz (2016) was used in collecting parents’ expectations. 749 parents participated in the study. It was found that the variables of parental gender, parental age range, and monthly income of the parents, level of loving mathematics and level of helping the child have no significant effect on the expectations. The university graduates had less authority and rule-oriented teaching expectation than the remaining parents. Besides, it is seen that the 5th grade parents had higher expectations of conceptual understanding and active participation and positive… Continue Reading →
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eric.ed.gov har udgivet: Contemporary state math standards emphasize that students must demonstrate an understanding of the mathematical ideas underlying the computations that have typically been the core of the elementary school math curriculum. The standards have put an increased emphasis on the study of fractions in upper elementary grades, which are the years during which students build a strong foundation in fractions concepts. At the same time, the National Mathematics Advisory Panel (2008) cites limited understanding of fractions as the key reason for the high failure rate in algebra courses. Longitudinal data from both the United States and the United Kingdom have demonstrated that knowledge of fractions in the elementary grades plays a powerful role in subsequent success in algebra, the gateway to math achievement in high school. Members of… Continue Reading →
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eric.ed.gov har udgivet: The public and academic debate about mathematics education has been intensified during the last decade. In relation to this it is important to investigate what ideas concerning mathematics education that are expressed by teachers and students. The aim of this article is to study how teachers and students in primary school talk about the math book and to emphasize, discuss and problematize emerging discourses. The article is part of a larger project about mathematical education. Data consists of group conversations with 120 students and 8 teachers in two elementary schools in Sweden. The math project was supported by the National Agency for Education 2010-2012. All together 17 hours of video and audio documentation were produced. The theoretical framework is built on poststructuralist and social constructionist theory and… Continue Reading →
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eric.ed.gov har udgivet: The construction of a connective brain begins at the earliest ages of human development. However, knowledge about individual and collective brains provided so far by research has been rarely incorporated into Maths in Early Childhood classrooms. In spite of that, it is obvious that it is at these ages when the learning of mathematics acts as a nuclear element for decision-making, problem-solving, data-processing and the understanding of the world. From that perspective, this research aims to analyse the mathematics teaching-learning process at early ages based on connectionism, with the specific objectives being, on the one hand, to determine the features of mathematics practices which promote connections and, on the other hand, to identify different types of mathematics connections to enhance connective intelligence. The research was carried out… Continue Reading →
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eric.ed.gov har udgivet: Students of mathematics teacher candidates are required to have good math and communication skills. Therefore, students of mathematics teacher candidates need to have good imagery modalities like the rational-irrational function graph. To get the imaginary student of mathematics teacher candidate in describing the rational-irrational function graph used qualitative research method. The subjects criteria are the students of mathematics education program, pursued the real course of analysis, and have not got the material to describe the rational-irrational function graph. The research data was taken by using the task test. The data were analyzed by categorizing, looking at the independence in describing, and looking at the logic or way of thinking. The research results showed that there are ten models (5 separate models and five combined models) of students’… Continue Reading →
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eric.ed.gov har udgivet: The quality of mathematics assignments from teachers to students is one important element that determines whether learning is effective or not. To make quality math assignments requires knowledge from the teacher about content and students, who are subdomains of mathematical knowledge to teach. This knowledge needs to be developed in prospective mathematics teachers since programmed teacher education. By focusing on one of the basic concepts in mathematics, namely the concept of function, research was conducted on 25 mathematics teacher candidates. Through interactions that occur in modified focus group discussions, we want to find out how prospective teachers construct knowledge about the concept of functions and difficulties of students. The results showed that in constructing the concept of functions and difficulties of students, teacher candidates worked backward, there… Continue Reading →
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eric.ed.gov har udgivet: The low level of mathematics performance of U.S. students in relation to national standards and in international comparisons has concerned educators and policy makers for many years. The authors’ primary goals were to design a feasible and usable intervention and gather data on the promise of the intervention to foster students’ conceptual understanding of whole number concepts and skills and procedural fluency. The FUSION curriculum was developed using an iterative design process aligned with design experiment methodology. The pilot study took place in nine schools in two suburban school districts in the northwest. The FUSION program is a Grade 1 (Tier 2) mathematics intervention that focuses specifically on building students’ early knowledge of whole number concepts. Results indicate that understanding student outcomes, program implementation fidelity, and interventionists’… Continue Reading →
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eric.ed.gov har udgivet: Beyond common associated factors, such as teacher characteristics and socioeconomic background of students, little is known about how student achievement relates to differences in the pedagogical approaches used in Latin American classrooms. This paper highlights the main findings from a qualitative study on cross-country differences in teaching practices in three Latin American countries. Of the three countries selected for the study, Paraguay and the Dominican Republic perform at the bottom of the regional comparative test, “Second Regional Comparative and Explanatory Study” (SERCE), and the Mexican state of Nuevo Leon is one of the top performers. Our findings, based on a large sample of video recordings from sixth-grade classrooms in the three countries, indicate that certain classroom practices appear to be associated with higher levels of learning. Teachers… Continue Reading →
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eric.ed.gov har udgivet: The new common core standards for mathematics demand that students (and teachers!) exhibit deeper conceptual understanding. That’s music to the ears of education professor John Tapper, who says teachers have overemphasized teaching procedures–and getting right answers. In his new book, “Solving for Why,” he makes a powerful case for moving beyond right and wrong and exploring what students understand, where they are struggling, and most important, why they are struggling. The author talked with Tapper about concrete-representational abstract assessments, or CRA, a tool that does just that. It’s easy to do, and it provides a sophisticated portrait of kids’ models for mathematical concepts. That ties in with the Core, and with Tapper’s call for teachers to focus on the learner. Link til kilde
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