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Eric.ed.gov – No Common Denominator: The Preparation of Elementary Teachers in Mathematics by America’s Education Schools

eric.ed.gov har udgivet: The nation’s higher goals for student learning in mathematics cannot be reached without improved teacher capacity. To accomplish these goals an analysis of current teacher preparation in mathematics is necessary, along with the development of an agenda for improvement. Based on groundwork laid during a meeting in Washington, D.C. in March 2007, the eight members of this study’s Mathematics Advisory Group guided the National Council on Teacher Quality’s evaluation of the mathematics preparation of elementary teachers. The Mathematics Advisory Group consists of mathematicians and distinguished teachers with a long history of involvement in K-12 education. The study sample included 77 institutions representing programs of all types and in 49 states and the District of Columbia (excluding Alaska), constituting more than 5 percent of those institutions offering undergraduate… Continue Reading

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Eric.ed.gov – “With Percentages the 100 Is Always in the Denominator”: From the Field to Pre-Service Teachers

eric.ed.gov har udgivet: The ubiquity of the subject of percentages in our everyday life demands that math teachers and pre-service math teachers demonstrate a profound knowledge and thorough understanding of the concept of percentages. This work, which originated from one specific lesson in an 8th grade math class, studies the conceptual understanding and problem-solving strategies of 17 pre-service math teachers. We exhibit and analyze the pre-service teachers’ misconceptions and their inefficient or false problem-solving strategies. We identify two main misconceptions. The first we name “In percentage problem is 100 always the denominator?” and the second “One can handle percentage problems using the same techniques as in numerical problems” (or Over-transferring of numerical problems). We hypothesize reasons and explanations for these misconceptions. The frequent use of percentages in everyday life and… Continue Reading