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Eric.ed.gov – Conditions for Scale and Sustainability. Brief Four

eric.ed.gov har udgivet: Math experts developed Formative Assessment Lessons that teachers can incorporate throughout the year’s curriculum. Both tools target the “instructional core.” A study by Research for Action (RFA) examining the first year of piloting the Literacy Design Collaborative (LDC) and Math Design Collaborative (MDC) tools (2010-11) found evidence of initial success in tool use indicated by teachers’ perceptions that the tools positively influenced teacher practice. In the second year of the Initiative (2011-12), tool use grew within and across sites. The focus of the research has expanded accordingly to include an analysis of how the tools are being introduced to additional classrooms, schools and districts, and what strategies are most effective in sustaining and strengthening tool use. This brief focuses on efforts to scale up and sustain broader… Continue Reading

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Eric.ed.gov – A Fifth-Grade Math Lesson with Linda Hallenbeck. School Development Library. [Multimedia.]

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 – Revising the Community of Inquiry Framework for the Analysis of One-to-One Online Learning Relationships

eric.ed.gov har udgivet: In online learning research, the theoretical community of inquiry framework has been used extensively to analyze processes of inquiry among learners and instructors within a community. This paper examines a special case of community of inquiry consisting of only one learner and one instructor. Together they engage in an online coaching discourse to form a relationship of inquiry. Within these relationships, coachees pass through processes of practical inquiry process while a coach supports the process. In this study, a framework and coding scheme were developed for use in a transcript coding procedure including 3,109 messages from an online coaching case in math for K-12 students. It is found that the elements of cognitive, teaching, and social presence, as well as the newly proposed emotional presence, which outlines… Continue Reading

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Eric.ed.gov – Literature Connections in Six Current Math Series for Grades K-2.

eric.ed.gov har udgivet: The National Council of Teachers of Mathematics Standard #2 (communicating aids students to clarify their thinking) emphasizes that reading, writing, discussing, and listening to mathematics are all vital parts of learning and using math. Six of the 12 math series chosen for California’s elementary program list titles of children’s trade books useful for supplementing lessons. A random selection of trade books listed in the six series was made to determine whether or not the book qualified as literature for classroom use. From this selection, a recommended literary book can be chosen for each of 12 different math topics for the early grades. A sample lesson plan could help integrate V. Williams’”A Chair for My Mother” into the second-grade math curriculum. Some literary selections from the primary grades… Continue Reading

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Eric.ed.gov – Online Course Use in Iowa and Wisconsin Public High Schools: The Results of Two Statewide Surveys. REL 2015-065

eric.ed.gov har udgivet: As the use of online courses in high schools increases rapidly across the United States, schools are using courses from a multitude of sources to achieve a variety of educational goals. Policies and practices for monitoring student progress and success in online courses are also diverse. Yet few states formally track or report student participation in online learning. Iowa and Wisconsin are among the states that do not track such information. This study analyzed data from a survey developed to describe how and why brick-and-mortar public high schools in Iowa and Wisconsin use online learning for their students. The survey, developed by Regional Educational Laboratory Midwest in collaboration with members of its Virtual Education Research Alliance, reflects the need for better information about the basic characteristics of… Continue Reading

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Eric.ed.gov – Fun with Math: Real-Life Problem Solving for Grades 4-8.

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 – Math Notes. The Clipboard Connection. Chapter I Resource Center Curriculum and Instruction.

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 – River Falls Mall Math Trails: Connecting Elementary Mathematics to the World.

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 – You Asked Open-Ended Questions, Now What? Understanding the Nature of Stumbling Blocks in Teaching Inquiry Lessons

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 – Effects of Varying the Special Educator’s Role within an Algebra Class on Math Attitude and Achievement.

eric.ed.gov har udgivet: This study compared the effects of two different special educator roles within high school algebra classes containing special needs students. The special educator served as either in-room assistant or as co-teacher. The study was conducted for one chapter of algebra study over a 3-week period. No significant differences between groups were found prior to the treatment. Following the two treatments, students in the co-teaching condition scored significantly higher in achievement than did students in the in-room assistance group or the control group. Females in the co-teaching condition achieved significantly higher scores than did females in the control group. Females receiving in-room assistance also scored significantly higher than control group females. No significant findings in achievement were found for males or for students receiving special education services. Appended… Continue Reading