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Eric.ed.gov – Vermont Teachers’ Understanding of Mathematical Problem Solving and “Good” Math Problems.

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 – On Teaching Problem Solving in School Mathematics

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 – Math Problem Solving and Mental Discipline: The Myth of Transferability.

eric.ed.gov har udgivet: It is alleged by math teachers and their supporters that math problem solving actually transfers to skills in real or applied problem solving (RAPS). The purpose of this paper is to discuss the issue of math problem solving and the concomitant concept of mental discipline/transfer of learning. The mental discipline theory and evidence to support this theory is broached first, then the relationship between mental discipline and math problem solving is discussed. It is concluded that mathematics should be taught in public schools when there is high interest, high aptitude, or high need for this kind of learning. When math is taught, it should be taught well, integrating math theory as much as possible into the real world that surrounds students. Otherwise, the time spent in public… Continue Reading

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Eric.ed.gov – Instructional Design-Based Research on Problem Solving Strategies

eric.ed.gov har udgivet: The main goal of this study is to find out the effect of the instructional design method on the enhancement of problem solving abilities of students. Teaching sessions were applied to ten students who are in 11th grade, to teach them problem solving strategies which are working backwards, finding pattern, adopting a different point of view, solving a simpler analogous problem, extreme cases, make drawing, intelligent guessing and testing, accounting all possibilities, organizing data, logical reasoning. Our study based on one-on-one (teacher-experimenter and student) design experiments where we conduct teaching sessions with a small group of students to study in depth and detail. We designed sessions to teach high school students, problem-solving strategies in a ten-week long period. Before and after the application of instructional design, 12… Continue Reading

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Eric.ed.gov – Partial Credit: Half-Way to Solving the Math Problem.

eric.ed.gov har udgivet: This book reports on a study of the implementation of the 1995 Mathematics Curriculum Framework conducted by the Massachusetts Teachers Association’s Center for Educational Quality and Professional Development (CEQ). It examines whether schools and districts provide students with the curriculum and instruction necessary to succeed on the Massachusetts Comprehensive Assessment System (MCAS) Mathematics Test. This study concludes that in the process of implementing elements of education reform, teachers and principals have been marginalized by the state agency. (KHR) Link til kilde

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Eric.ed.gov – Social Skills and Problem Behaviors as Mediators of the Relationship between Behavioral Self-Regulation and Academic Achievement

eric.ed.gov har udgivet: Early behavioral self-regulation is an important predictor of the skills children need to be successful in school. However, little is known about the mechanism(s) through which self-regulation affects academic achievement. The current study investigates the possibility that two aspects of children’s social func- tioning, social skills and problem behaviors, mediate the relationship between preschool self-regulation and literacy and math achievement. Additionally, we investigated whether the meditational processes differed for boys and girls. We expected that better self-regulation would help children to interact well with others (social skills) and minimize impulsive or aggressive (problem) behaviors. Positive interac- tions with others and few problem behaviors were expected to relate to gains in achievement as learning takes place within a social context. Preschool-aged children (n = 118) were tested with… Continue Reading

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tandfonline.com – Self-regulated learning instruction and the relationships among self-regulation, reading comprehension and reading problem solving: PLS-SEM approach

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 Self-regulated learning (SRL) strategies have gained a great prominence in second language reading comprehension; however, to have a comprehensive picture of their efficacy, this study investigated the significant relationships among SRL components, reading comprehension and reading problem solving. Moreover, it examined the effects of SRL instruction on SRL strategies, reading comprehension, problem solving and the strength of the relationships among these variables. To this end, 183 Iranian English as a foreign language (EFL) learners participated in two phases… Continue Reading

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Eric.ed.gov – Math Word Problem Remediation with Elementary Students.

eric.ed.gov har udgivet: This report describes a program for improving elementary school students ability to solve mathematical word problems. The targeted population consisted of primary, middle, and junior high students attending two different kindergarten through eighth grade schools. Both schools were located within blue collar neighborhoods in a large metropolitan area. Students’ weakness in the area of problem solving was documented by teacher-made tests, journaling, standardized test scores, student surveys, and teacher surveys. Research literature and measurement tools revealed the following probable causes: inability to read story problems adequately; poor reading ability in general; improper strategy use; lack of strategy use; lack of desire to properly understand mathematical logic of problem; strategies that rely on memorization; insufficient instructional time spent on problem solving; and inadequate time spent on finding solutions.… Continue Reading

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Eric.ed.gov – Is There a Problem?

eric.ed.gov har udgivet: This is a narrative article, highlighting effective teaching strategies for teacher candidates at a four-year university in the South. The author examined preconceived negative notions teacher candidates expressed about being enrolled in a Math Block class and having to teach children about mathematics. After involving the teacher candidates in a hands-on series of classroom discussions and role playing related to problem-solving strategies, teacher candidates became excited about not only facilitating children’s exploration of problem-solving strategies but how much they thoroughly enjoyed themselves, engaging in hands-on lessons compared to rote and memorization skills they had experienced as children. Link til kilde

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Eric.ed.gov – A Look at Math Teachers and Problem Solving.

eric.ed.gov har udgivet: The need for mathematics teachers to incorporate instruction in problem-solving skills into the curriculum is discussed. Results of a study of problem-solving instruction in the classrooms of nine seventh grade teachers are briefly noted. There were significant differences between the teachers in how they planned, organized, and delivered lessons, but there was little difference between regular lessons and problem-solving lessons. Moreover, students showed little improvement in problem solving. A complete description of the study is included. How the teachers taught is described in some detail. Implications are discussed in terms of organizational style, problem-solving content, and other teaching methods. Several figures and tables are supplied. (MNS) Link til kilde