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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 – Helping Your Child Learn Math with Activities for Children Aged 5 through 13.

eric.ed.gov har udgivet: This booklet is one in a series on different education topics intended to help parents make the most of their child’s natural curiosity and become an integral part of reaching the National Education Goals as set forth by the President and governors in 1990. The book suggests ways that parents can generate interest in mathematics in children aged 5-13. Three initial sections discuss ideas parents need to consider when working with their children. Concepts discussed include the importance of mathematics, parents’ and students’ attitudes toward mathematics, the meaning of being a mathematics problem solver, communicating mathematics, and how to use the book. Twenty-six activities are presented that incorporate games, problem solving, and hands-on experiences to teach mathematical concepts. The activities are divided into three categories: (1) Math… Continue Reading

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Eric.ed.gov – Proceedings of the 2011 Annual Meeting of the Canadian Mathematics Education Study Group = Actes De La Rencontre Annuelle 2011 Du Groupe Canadien D’étude en Didactique Des Mathématiques (35th, St. John’s, Newfoundland, Canada, June 10-14, 2011)

eric.ed.gov har udgivet: This submission contains the Proceedings of the 2011 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Memorial University of Newfoundland in St. John’s, Newfoundland. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the Study Group are: to advance education by organizing and coordinating national conferences and seminars to study and improve the theories of the study of mathematics or any other aspects of mathematics education in Canada at all levels; and to undertake research in mathematics education and to disseminate the results of this research. These proceedings include plenary lectures, working group reports, topic session descriptions, new PhD reports, and summaries of ad hoc and… Continue Reading

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Eric.ed.gov – Experts’ Opinions on National Math Standards for Students with Disabilities. Technical Report 3.

eric.ed.gov har udgivet: Eleven experts in mathematics education, special education, and assessment completed an open-ended survey on current math instruction in relation to the “Curriculum and Evaluation Standards” of the National Council of Teachers of Mathematics and the perceived appropriateness and feasibility of the standards for students with disabilities. In general, the experts agreed that adoption of the Standards has been minimal and that math education in practice continues to emphasize basic skills. Two opposing viewpoints were evident in the experts’ responses. One viewpoint was that the Standards did not recognize the importance of individual differences and were not better than current practice in math education. The opposing viewpoint was that the Standards reflected a vision of what mathematics should be and that minimal, nonsubstantial modifications were needed for students… Continue Reading

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Eric.ed.gov – Experts’ Opinions about the Appropriateness and Feasibility of National Math Standards. Technical Report 4.

eric.ed.gov har udgivet: The appropriateness and feasibility of the “Curriculum and Evaluation Standards” published by the National Council of Teachers of Mathematics were examined with respect to the mathematics education of students with disabilities. Eleven experts from the areas of mathematics education, special education, and assessment were surveyed using a five-point forced rating scale. To investigate the response patterns among the experts, their responses were clustered using a hierarchical agglomerative technique. Most of the experts reached consensus that the Standards should be addressed through curriculum and evaluation in elementary level math education. All respondents perceived that the basic skills were adequately and feasibly addressed in the elementary curriculum. Some experts who believed in the visions provided by the Standards also approved the feasibility of the Standards in evaluation. In contrast,… Continue Reading

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Eric.ed.gov – Selected Effects of a Curriculum Integration Intervention on the Mathematics Performance of Secondary Students Enrolled in an Agricultural Power and Technology Course: An Experimental Study

eric.ed.gov har udgivet: The purpose of this study was to empirically test the posit that students who participated in a contextualized, mathematics-enhanced high school agricultural power and technology (APT) curriculum and aligned instructional approach would develop a deeper and more sustained understanding of selected mathematics concepts than those students who participated in the traditional curriculum and instruction. This study included teachers and students from 38 high schools in Oklahoma (18 experimental classrooms; 20 control classrooms). Students were enrolled in an APT course in the spring of 2004. The experimental design used was a posttest only control group; unit of analysis was the classroom. One-way analysis of variance (ANOVA) was used to test the study’s null hypotheses. The math-enhanced curriculum and aligned instructional approach did not significantly affect (p greater than… Continue Reading

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Eric.ed.gov – Maths and Science Booklet: A Practical Guide. Series of Caribbean Volunteer Publications, No. 6.

eric.ed.gov har udgivet: This guide is linked to a science curriculum and was designed for use by those involved with early childhood education. The goal of this document is to enable caregivers and teachers to use the curriculum in a more varied, stimulating, and developmentally appropriate way. Topics discussed include student attitudes toward mathematics, parent education, learning through play, the language of mathematics, mathematical concepts, and mathematics and science. (DDR) Link til kilde

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Eric.ed.gov – A Case Study: Teaching Engineering Concepts in Science

eric.ed.gov har udgivet: This study was conducted to describe a high school engineering curriculum, identify teaching strategies used to increase math and science literacy, and discover challenges and constraints that occur during its development and delivery, as well as what strategies are used to overcome these obstacles. Semi-structured interviews were conducted with the engineering instructor. In addition, students were observed and curriculum documents, teacher lesson plans, and teacher resources were examined. Concepts created the platform for delivery, curricular trial and error was at work, science and engineering competitions were leveraged as a basis for learning activities, and project based learning and teaching was critical. There was a clear emphasis on creative thought and work. Assessment of student learning was dubious and elusive and stakeholders tended to be uneasy with this… Continue Reading

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Eric.ed.gov – How Students Communicate Mathematical Ideas: An Examination of Multimodal Writing Using Digital Technologies

eric.ed.gov har udgivet: This article reports the findings of a study designed to examine the influence of multimodal writing on the communication of mathematical ideas. Elementary school students (ages 8-13) were required to write mathematics notes using two digital writing technologies, a personal digital notepad and a social mathematics blog, in the context of a formal intervention. Forty-two students participated, across three schools. The study showed that when students wrote notes that could be assessed for correctness, their answers were predominately right, indicating that mathematical sense-making was taking place. It also showed that the digital notepad and blog were used differently and that the type of technology influences the writing content. Moreover, students’ mathematical writing were understandable by their peers and students collaboratively explored solutions. Younger students were more likely… Continue Reading

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Eric.ed.gov – Computer Mathematical Tools: Practical Experience of Learning to Use Them

eric.ed.gov har udgivet: The article contains general information about the use of specialized mathematics software in the preparation of math teachers. The authors indicate the reasons to study the mathematics software. In particular, they analyze the possibility of presenting basic mathematical courses using mathematical computer tools from both a teacher and a student, argue in favour of using software instead of traditional paper-and-board style. The special course of the study of mathematics software (main tasks of the course are disclosed; knowledge and skills that students should possess on completion of their studies are dedicated; content of computer workshop is detailed) is briefly described. Also the authors give a detailed solution and its methodic basis of typical problem with the use of the SCM Maple. The typical errors which made by… Continue Reading