eric.ed.gov har udgivet: One of the major series of reviews in elementary and secondary education is the Best Evidence Encyclopedia, or the BEE. Up to now, findings for systematic reviews have largely been restricted to the reviews themselves, with few cases in which lessons learned across many reviews using similar methods can be synthesized. The completion of the Best Evidence Encyclopedia reading and math reviews permits a first opportunity to describe both substantive and methodological patterns across a broad set of studies involving all elementary and secondary grades, reviewed using a common set of review procedures. The purpose of the proposed paper is to synthesize both substantive and methodological findings across the five main Best Evidence Encyclopedia reviews of reading and math programs in grades K-12. The paper considers the… Continue Reading →

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eric.ed.gov har udgivet: The universities and faculties which educate teachers of mathematics for teaching pupils/students of any age group from pre-school age to higher education carefully monitor and compare valuable results of this research, detect the areas in which the mathematical achievements of pupils should be improved at the national level and propose the ways to improve the quality of education and achieve better learning outcomes. We deem particularly valuable contributions of the researchers regarding the samples of poorer mathematical achievements at the “local level” in neighbouring countries, as well as the presentation of examples of good practice by means of which we pave the path towards better achievements of pupils and, consequently, the improvement in the quality of teaching mathematics at the “local,” as well as the global level.… Continue Reading →

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eric.ed.gov har udgivet: Techniques for integrating English-as-a-Second-Language (ESL) instruction and mathematics instruction, particularly the language of mathematics, are discussed. Focus here is on mathematics instruction for limited-English-speaking students in the mainstream classroom. First, examples of the academic language of mathematics that students must develop are outlined. Some instructional techniques that incorporate students’ own language and background in the construction of mathematics concepts and formal mathematics register are then offered. These include: techniques to make mathematics lessons more comprehensible and ways to promote interaction and provide a classroom environment conducive to language and literacy acquisition; methods for maintaining high expectations for language minority students and helping them develop higher-order cognitive and metacognitive skills and strategies; and assessment of language development alongside conceptual knowledge. A concluding discussion looks at the roles of… Continue Reading →

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eric.ed.gov har udgivet: This paper describes a simulation activity, which was coupled with Confluent/Gestalt meta-processing, that was designed to address the affective component of a mathematics procedures class for preservice teachers. The activity consisted of an explanation and demonstration for teacher educators. It is argued that a reconstruction of disposition towards mathematics is an essential component of effective professional education programs. In order for student teachers to acquire a positive disposition towards mathematical thinking, instructors must help these students to deconstruct their prior learning, which may have negatively impacted their attitudes toward mathematics, and to reconstruct a new understanding of mathematical processes. In the simulation which is presented, participants experience an intervention, characterized by Confluent/Gestalt meta-processing, that can be used with student teachers in a mathematics methods class. The intervention… Continue Reading →

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eric.ed.gov har udgivet: The Changing Mindsets project sought to improve academic attainment by supporting pupils to develop a growth mindset: the belief that intelligence is not a fixed characteristic and can be increased through effort. Previous research (Good et al., 2003; Blackwell et al., 2007) has suggested that holding this belief enables pupils to work harder and achieve better results. The project consisted of two separate interventions: (1) an intervention that taught pupils directly about the malleability of intelligence through six workshops, which were delivered by undergraduates from the University of Portsmouth, and four further sessions delivered by two local organisations: the Education Business Partnership, and Pompey Study Centre (now called Portsmouth in the Community); and (2) a professional development course that trained teachers on approaches to developing and reinforcing… Continue Reading →

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eric.ed.gov har udgivet: Research reports from the annual conference of the International Group for the Psychology of Mathematics Education include: “A Comparison of Children’s Learning in Two Interactive Computer Environments” (Edwards); “On Building a Self-Confidence in Mathematics” (Eisenberg); “Classroom Discourse and Mathematics Learning” (Ellerton); “Constructivism, the Psychology of Learning, and the Nature of Mathematics” (Ernest); “Cognition, Affect, Context in Numerical Activity among Adults” (Evans); “Teachers’ Pedagogical Knowledge: The Case of Functions” (Even; Markovits); “Cognitive Tendencies and Abstraction Processes in Algebra Learning” (Filloy-Yague); “On Some Obstacles in Understanding Mathematical Texts” (Furinghetti; Paola); “Toward a Conceptual-Representational Analysis of the Exponential Function” (Goldin; Herscovics); “Duality, Ambiguity and Flexibility in Successful Mathematical Thinking” (Gray; Tall); “Children’s Word Problems Matching Multiplication and Division Calculations” (Greer; Mc Cann); “Children’s Verbal Communication in Problem Solving Activities” (Grevsmuhl);… Continue Reading →

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eric.ed.gov har udgivet: Both the concept of sustainable development and the nature of education for sustainable development (ESD) are highly contested. ESD can be construed as a part of sustainable development policy as governments attempt to bridge the “value-action gap” between what we know we should be doing (e.g. to combat climate change) and what we actually do. Alternatively sustainability can be construed as a “frame of mind”; within this paradigm ESD is seen as a way of bringing to the surface underlying values and beliefs through the exploration of contradictions and arguments. STEM (Science, Technology, Engineering and Mathematics) education is equally contested. At one end it is seen as a pre-vocational learning or even training to encourage students to pursue science and maths in particular en route to professional… Continue Reading →

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eric.ed.gov har udgivet: The ReflectED programme was developed by Rosendale Primary School to improve pupils’ metacognition–their ability to think about and manage their own learning. This includes the skills of setting and monitoring goals, assessing progress, and identifying personal strengths and challenges. ReflectED consists of 28, weekly, half-hour lessons, which teach pupils strategies they can use to monitor and manage their own learning. Pupils are supported to apply and practise these strategies throughout the rest of the curriculum; reflect on their learning; and record audio, photographed and written notes of their reflections on Evernote, a note-taking app. Pupils are then encouraged to review and reflect on these records over time, so that they can observe their progress and consider which strategies seemed to work well. Teachers can also look across… Continue Reading →

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eric.ed.gov har udgivet: A teacher that emphasizes reasoning, logic and validity gives their students access to mathematics as an effective way of practicing critical thinking. All students have the ability to enhance and expand their critical thinking when learning mathematics. Students can develop this ability when confronting mathematical problems, identifying possible solutions and evaluating and justifying their reasons for the results, thereby allowing students to become confident critical thinkers. Critical thinking and reasoning allows students to think about how they utilize their discipline of mathematical skills (i.e., they think about their method of thinking). Metacognition helps students to recognize that math is logical reasoning on solutions to problems. Students are taught how to: identify scenarios; evaluate; select problem-solving strategies; identify possible conclusions; select logical conclusions; describe how a solution was… Continue Reading →

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eric.ed.gov har udgivet: In this lesson, students identify the question-answer relationship (QAR) for word problems that relate to a graphic or table. They then use the QAR strategy to determine the mathematical and cognitive actions required to answer the word problem. This activity is particularly appropriate for fourth- and fifth-grade students. During two 40-minute sessions, students will: preview tables to stimulate prior knowledge, make predictions, interact with print, and generate questions and answers about the content; understand that the format of a table supports comprehension of the relationship between data and the self-monitoring of responses to questions; practice analyzing word problems using the QAR strategy to predict a computation strategy and determine a response; understand that the type of question may indicate the need for different cognitive and mathematical actions;… Continue Reading →

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