eric.ed.gov har udgivet: This document points out the numbers of students who have difficulty in their required college mathematics courses. The four common syndromes identified with pupils who were experiencing a lack of success in mathematics were: (1) a lack of an adequate college or high school background in mathematics; (2) the tendency to feel that because they completed homework problems they really “knew their mathematics,”; (3) the inability to apply appropriate reading-learning strategies to their mathematics studies; and (4) a feeling of hostility over mathematics classes and anxiety over tests. These students are referred to as “underdeveloped learners,” who did not know how to study and learn mathematics. Twelve learning strategies that students should learn to apply are listed and described. A remediation strategy for these pupils that combines… Continue Reading →
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eric.ed.gov har udgivet: Items in the North Central Regional Educational Laboratory’s (NCREL) School Development Library series are multimedia packages consisting of print, video, audio, and CD-ROM resources designed to support educators in their efforts to improve classroom instruction. This particular set consists of a 35-minute video and a printed booklet focusing on David Burchfield, a first-grade teacher. The video of his classroom shows him using a variety of cognitive instructional practices including an emphasis on the problem-solving process, group learning, and laboratory activities during a math lesson. It is actual footage of a first-grade classroom and is divided into 16 events, each division representing a change in the activities or flow of the classroom. The text of the booklet is based on spoken comments made by various people as they… Continue Reading →
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eric.ed.gov har udgivet: Items in the North Central Regional Educational Laboratory’s (NCREL) School Development Library series are multimedia packages consisting of print, video, audio, and CD-ROM resources designed to support educators in their efforts to improve classroom instruction. This particular set consists of a 40-minute video and a printed booklet focusing on Linda Hallenbeck, a fifth-grade teacher. The video of her classroom shows her teaching a math lesson on probability incorporating coin flipping, spinner spinning, and die throwing. The lesson is a combination of whole group and small group hands-on, collaborative activities. The teacher asks probing questions to help children formulate their ideas about probability and encourages the children to express their reasoning and to listen carefully to each other. The lesson emphasizes that mathematics is about solving everyday, real-life… Continue Reading →
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eric.ed.gov har udgivet: This book was developed for teachers, youth group leaders, after-school child care providers, and parents, who may not have the time or the expertise to develop strategies for preparing students to be effective problem solvers. The content is organized in a pyramid style to make it easy to locate and grasp the information provided. Information on effective strategies for teaching general real-life problem solving is provided first. Similar information specific to real-life math problem solving follows. Together these two sections lay a foundation to prepare teachers to successfully deliver the learning activities subsequently provided. The Learning Activities section is organized by strand as identified by the Ohio Mathematics Proficiency Outcomes. Each section begins with an index of the activities included in that strand. Appendices provide additional details… Continue Reading →
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eric.ed.gov har udgivet: The “Clipboard Connection” is a methodology to facilitate the rapid circulation of relevant pre-existing materials from Chapter 1 Technical Assistance Centers of relevant materials from Chapter 1 Technical Assistance Centers (TACs) to their clients, teachers of educationally disadvantaged children in resource centers. Each “Clipboard Connection” consists of a lead sheet summarizing the contents of the materials (reprints of journal articles, brochures, etc.) to be distributed, and the materials themselves. This compilation focuses on techniques for effective mathematics instruction. The following reprints are included: (1) “Teaching Mathematics and Thinking,” prepared by Edward A. Silver and Margaret S. Smith (Arithmetic Teacher, volume 37, number 8, April 1990); (2) “Using Writing Activities to Reinforce Mathematics Instruction,” by David M. Davison and Daniel L. Pearce (Arithmetic Teacher, volume 35, number 8,… Continue Reading →
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eric.ed.gov har udgivet: This collection of activities demonstrates how the study of elementary mathematics can be extended beyond the school and involve teachers and students in investigative, problem-based experiences. The activities include topics in geometry, concept of number, algebra, measurement, graphing, statistics, and probability, and are organized into five different math trails. With this method of organization, up to 100 elementary students can participate in the activities on the same day. Each math trail has 10 activities and each activity utilizes the particular attributes of the section of the mall in which it is situated. Students collect the necessary data at the mall and then complete the activities upon returning to their classrooms by interpreting the data and applying their previous learning and understanding in mathematics to solve a real-life… Continue Reading →
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eric.ed.gov har udgivet: Undergraduate preservice teachers face many challenges implementing inquiry pedagogy in mathematics lessons. This study provides a step-by-step case analysis of an undergraduate preservice teacher’s actions and responses while teaching an inquiry lesson during a summer math camp for grade 3-6 students conducted at a university. Stumbling blocks that hindered achievement of the overall goals of the inquiry lesson emerged when the preservice teacher asked open-ended questions and learners gave diverse, unexpected responses. Because no prior thought was given to possible student answers, the preservice teacher was not equipped to give pedagogically meaningful responses to her students. Often, the preservice teacher simply ignored the unanticipated responses, impeding the students’ meaning-making attempts. Based on emergent stumbling blocks observed, this study recommends that teacher educators focus novice teacher preparation in… Continue Reading →
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eric.ed.gov har udgivet: This booklet is designed to be used with a video of the classroom of second-grade teacher Victoria Bill. The 40-minute video shows the teacher using a variety of manipulations, facilitating both large- and small-group discussions, and applying a problem-solving approach to math. The text in the booklet is based on spoken comments made by observers as they watched the videotape, and provides added insight into the instructional methods used in the class. The video and the accompanying booklet are divided into 16 events, each representing a change in the activities in the classroom. The discussion of each event begins with an assessment and overall description of the event, followed by discussions of classroom management, problem solving, and teaching strategies used in each example. (ND) Link til kilde
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eric.ed.gov har udgivet: This book comprehensively describes the Pac-TEC project which organizes educational reform around the problem statement that mathematics, science, technology, and engineering education is not inclusive of all thinking and learning styles, and therefore is not addressing the present and future needs of the expanding, evolving culture base of the United States. The Pac-TEC project has a research component consisting of interviews, classroom trials, literature, research, discussions, textbook analysis, and visits to the learning environments of classroom teachers (N=26). The teachers were chosen from elementary to university level with 15 of those teachers being members of groups that are underrepresented in science, mathematics, engineering, and technology. The questions that guided the research phase pertained to the reasons why some students are uncomfortable with science, mathematics, engineering, and technology;… Continue Reading →
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eric.ed.gov har udgivet: This document is an introduction to a larger manual on the Pac-TEC project. The Pac-TEC project organizes educational reform around the problem statement that mathematics, science, technology, and engineering education is not inclusive of all thinking and learning styles, and therefore is not addressing the present and future needs of the expanding, evolving culture base of the United States. The Pac-TEC project has a research component consisting of interviews, classroom trials, literature, research, discussions, textbook analysis, and visits to the learning environments of classroom teachers (N=26). The teachers were chosen from elementary to university level and 15 of those teachers are members of groups that are underrepresented in science, mathematics, engineering, and technology. The questions that guided the research phase pertained to the reasons why some students… Continue Reading →
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