eric.ed.gov har udgivet: This is the fourth biennial report to Congress on the implementation of the “Elementary and Secondary Education Act’s” Title III State Formula Grant Program (also known as the English Language Acquisition State Grants Program). This report provides information reported by states to the U.S. Department of Education regarding services provided for children served under Title III to ensure that all limited English proficient (LEP) students attain English proficiency and are achieving in reading or language arts and in mathematics at the same high level set by the states for all students. Under the State Formula Grant Program, states also are accountable for the education of immigrant children and youth. In this report, the U.S. Department of Education presents data reported by the 50 states, the District of… Continue Reading →
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eric.ed.gov har udgivet: Within the framework of social reconstructivism and multicultural education, this paper explores issues of teaching mathematics, and to a lesser degree, science, to provide the best equitable education for all students. Today’s classrooms are increasingly multicultural, and students bring to their classrooms rich personal, social, intellectual, and educational experiences that teachers must use. Optimizing learning for all students in mathematics classrooms can be achieved through creating multiple learning opportunities for all students as their differences are valued and celebrated. Orientations toward math learning should be both integrative and instrumental, being integrative in the sense that math is a crucial part of education and instrumental in that math is a useful tool for almost all aspects of life. In mathematics and science classrooms today, one can hardly see… Continue Reading →
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eric.ed.gov har udgivet: Educational design research provides opportunities for both the theoretical understanding and practical explanations of teaching. In educational design research, mathematics teachers’ learning is essential. However, research shows that little consideration is given to teachers and the participation of teachers throughout the entire design process as well as in continued learning. With this in mind, an educational teacher-focused design research was used to explore the challenges teachers face and the opportunities teachers are given when they participate as actors in all the phases of educational design research – designing, teaching, and refining theoretical concepts within the teaching. In this study, the mathematics focus of the design research was generalizations in patterns with Design Principles as the theoretical frame. The results show that the participation of teachers in all… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. ABSTRACT We use Taylor’s formula with Lagrange remainder to make a modern adaptation of Poisson’s proof of a version of the fundamental theorem of calculus in the case when the integral is defined by Euler sums, that is Riemann sums with left endpoints which are equally spaced. We discuss potential benefits for such an approach in basic calculus courses. Link til kilde
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. We use Taylor’s formula with Lagrange remainder to prove that functions with bounded second derivative are rectifiable in the case when polygonal paths are defined by interval subdivisions which are equally spaced. As a means for generating interesting examples of exact arc length calculations in calculus courses, we recall two large classes of functions f with the property that 1+(f′)2 has a primitive, including classical examples by Neile, van Heuraet and Fermat, as well as more recent ones induced… Continue Reading →
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