eric.ed.gov har udgivet: The purpose of this paper is to argue for the ongoing use of dialogue as a modern pedagogical and andragogical method. The author reviewed 18 scholarly sources from three education databases in this literature review. The use of dialogue as mode of instruction dates from the Socratic Method of 399 B.C.E. to present uses. The literature reveals current studies of successful use in math, ESL, business, law, and teacher preparation instruction. Also, the dialogue as avenue into reflective self-learning appears prominently in modern practice. Multimedia, computer, and online dialogue methods also show good results in several well designed models. The author concludes that dialogue in different forms remains an effective method of instruction in wide applications. The research revealed several improvements and new applications for dialogue as… 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: An analysis of a student teacher’s lesson in multiplication for Norwegian second graders explored why the lesson did not succeed. Two interpretive frameworks were used to analyze the lesson: teaching as a complex cognitive activity and teaching as improvisation. The student teacher, Marte, believed in child-centered education and tried to create situations in the classroom where her children experienced success. The analysis of student and teacher exchanges showed that Marte’s class derailed because her pupils offered unexpected types of comments for which she was not prepared; she used the dialogue teaching method which created an unstable and unpredictable classroom environment; and in her responses to the unexpected answers she attended to the wrong things. She was also derailed due to lack of pedagogical content knowledge in mathematics.… Continue Reading →
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eric.ed.gov har udgivet: Mastering algebra is important for future math and postsecondary success. Educators will find practical recommendations for how to improve algebra instruction in the What Works Clearinghouse (WWC) practice guide, “Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students”. The methods and examples included in the guide focus on helping students analyze solved problems, recognize structure, and utilize alternative approaches to solving algebra problems. Each recommendation includes the level of supporting research evidence behind it, examples to use in class, and solutions to potential implementation roadblocks. Teachers can implement these strategies in conjunction with existing standards or curricula. In addition, these strategies can be utilized for all students learning algebra in grades 6-12 and in diverse contexts, including during both formative and summative assessment. Administrators… Continue Reading →
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eric.ed.gov har udgivet: In an examination of the problem of national mathematical illiteracy, the math student, the math teacher, and the math problem are discussed. The math student may have defects, deficiencies, disruptions, and/or differences in the cognitive abilities required to perform a mathematical problem. The math teacher may tend to be less verbal and less socially responsive than other teachers. Math teachers also may have internalized mathematical reasoning and its accompanying numerical coding and notation so that they can hardly understand the primitive state of most students and many adults and thus students tend not to question, but instead accept math as a closed system. The math word problem poses a barrier to learning because of the new words and notations and the complex language and terse sentences. An… Continue Reading →
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eric.ed.gov har udgivet: The researchers conducted a qualitative analysis of the perceptions of school personnel and pre-service teachers about an Algebra I tutoring program for students with learning disabilities. The researchers surveyed and interviewed the participants about the effectiveness of the program for the mathematics learning of the students with LD at the school and as a learning experience for the pre-service teachers. The school personnel indicated there was a mutually beneficial relationship between the tutors and the school. The perceptions of the tutors revealed considerations about the challenges they face as Algebra I tutors of students with learning disabilities including remembering Algebra I content, posing strategic questions to students, dealing with students’ math anxiety, and conveying Algebra I content accessibly. The tutors reported positive experiences in the program including… Continue Reading →
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eric.ed.gov har udgivet: Questioning techniques have historically been considered the measurement by which teachers challenge and gauge student learning. Much has been said about questioning strategies used by teachers; yet little is known about the strategies used by pre-service teachers, especially those that are working with English language learners. This study presents findings from a qualitative study that explored what types of questions pre-service teachers use and their reflections on the use of such strategies. Eight bilingual/ESL pre-service teachers in South Texas were videotaped during a math and a language arts lesson, attended focus groups, and participated in an exit interview. The findings revealed the type of questions used by the participants, how they made sense of their teaching, and how accountability measures influenced their teaching. This research recommends education… Continue Reading →
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eric.ed.gov har udgivet: This case study focuses on teachers’ actions during problem-solving lessons. The aim of this study was to find out how teachers guide students during mathematics problem-solving lessons: What kinds of questions do teachers ask? How do students arrive at solutions to problems? The dataset contained videotaped fourthgrade math lessons in which students solved a mathematical problem. The research reveals that teachers can guide students in numerous ways and possibly in ways that prevent students from searching for their own solution strategies. For this reason, problem-solving exercises alone are not sufficient for teaching problem solving for students, teachers must also be instructed in how to properly guide students. In the conclusion section, we discuss the types of questions that enable teachers to promote active learning in students, which… Continue Reading →
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eric.ed.gov har udgivet: A series of observations in math classrooms revealed a pervasive problem of “re-teaching”. It matters little the subject; before the teacher can begin teaching new material, basic skills often have to be re-taught before the lesson can move forward. Perhaps some methods are more effective than others in the classroom. Consequently, this study addressed two research questions: Q1: What teaching strategies are considered preferential by math teachers for teaching math concepts? Q2: Do teacher demographics influence those teacher preferences? Consequently, this study seeks to add to the existing literature regarding math teacher preferences for teaching the Pythagorean Theorem to high achieving and low achieving secondary mathematics students. Thirty mathematics teachers were asked to rate their preferences of six research-based standards with respect to teaching a specific math… Continue Reading →
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eric.ed.gov har udgivet: Family math night can easily be implemented into mathematics methodology courses providing an opportunity for field-based learning. Preservice teachers were asked to develop and implement an inquiry-based activity at a family math night event held at a local school with personnel, elementary children and their parents in attendance. This action research examines what preservice teachers discovered about how children learn mathematics during their interactions with parents and children. Preservice teachers’ individual reflections focusing on children’s learning were qualitatively analyzed and clustered. In addition, data from teacher educator’s observation notes was used to triangulate findings. Four themes were identified in relation to children’s needs for promoting learning in mathematics: (1) activity adjustment (2) engagement through guiding and questioning (3) motivational issues and (4) the use of manipulatives and… Continue Reading →
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