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Eric.ed.gov – Geometry in the Adult Education Classroom.

eric.ed.gov har udgivet: For many adults, geometry is a mathematics topic that immediately makes sense to them and gives them confidence in their ability to learn, while other adult learners identify geometry with failure. Most adults, however, do recognize the need for measurement, and many have a basic understanding of measurement concepts, although they may need to learn English measurements if they already know metric measurement. Implications for teaching and learning are the following: (1) teachers must use exact and estimated measurements to describe and compare phenomena to increase the understanding of the structure, concepts, and process of measurement; (2) teachers must address the impact of measurement skills on self-efficacy and self-reliance; (3) measurement skills should be extended to concept areas such as volume, proportion, and problem solving; (4) teachers… Continue Reading

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Eric.ed.gov – Mathematics: Essential Research, Essential Practice. Volumes 1 and 2. Proceedings of the 30th Annual Conference of the Mathematics Education Research Group of Australasia

eric.ed.gov har udgivet: This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is “Mathematics: Essential research, essential practice.” The theme draws attention to the importance of developing and maintaining links between research and practice and ties in with the joint day of presentations with the 21st biennial conference of the Australian Association of Mathematics Teachers (AAMT). This special feature highlights the benefits of collaboration between researchers, practicing classroom teachers, and curriculum developers. Volume 1 contains the following papers: (1) The Beginnings of MERGA (Ken Clements); (2) Teaching and Learning by Example: The Annual Clements/Foyster Lecture (Helen L. Chick); (3) Introducing Students to Data Representation and Statistics (Richard Lehrer); (4) Studies in the Zone… Continue Reading

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Eric.ed.gov – Mathematics Teaching for the Future

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 – Math, Summer of ’72. Summer Staff Development, Area 1.

eric.ed.gov har udgivet: This paper presents descriptions of a variety of learning activities suitable for the elementary grades. The activities were developed by teachers, and contributed by them to this volume. Some of the activities are short while others are intended to be carried out over several days. Paper-and-pencil activities, games, and projects involving making things are included. (SD) Link til kilde

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Eric.ed.gov – Sports Shorts. [A Product of] the Regional Math Network: A Teacher Invigoration and Curriculum Development Project.

eric.ed.gov har udgivet: This middle school mathematics unit is organized around themes relating to sports activities in the Boston (Massachusetts) region and has a content focus on decimals and percents. The activities follow a story line which features a sports reporter (the student) and his/her assignments and adventures. Each activity begins with a headline, defines a task, and includes a follow-up question. The unit is organized by categories dealing with: (1) Sullivan Stadium (and football); (2) Fenway Park (and baseball); (3) Boston Garden (and basketball and hockey); (4) the Boston Marathon; and (5) Miscellaneous Sports. The unit could also be arranged by season, content development sequence, or activity. The materials include student worksheets, fact sheets, editor’s notes, transparency masters and game cards. The math themes that extend throughout the activities… Continue Reading

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Eric.ed.gov – “Learning To Do Math the Drafting Way.” Field Test Copy.

eric.ed.gov har udgivet: This booklet was developed for industrial arts students who demonstrate a need for additional instruction in mathematics, with the focus on the content needed for drafting. The eight topics included are: how to read a ruler, reading a one-fourth inch scale, multiplication of whole numbers, how to find square footage from an architectural floor plan, two plastic triangles used as drafting tools, centering a drafting isometric problem, a quick way to figure radius settings when using the drafting compass, and using fractions and decimals in the drafting class. Each topic lists teacher materials (concepts, instructions, and related activities) and provides several worksheets for students. To identify students who need additional help, a Basic Skills Checklist is provided for the teacher, and a Basic Skills Verification Form is… Continue Reading

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Eric.ed.gov – Instrumental Appropriation of a Collaborative, Dynamic-Geometry Environment and Geometrical Understanding

eric.ed.gov har udgivet: To understand learners’ appropriation of technological tools and geometrical understanding, we draw on the theory of instrumental genesis (Lonchamp, 2012; Rabardel & Beguin, 2005), which seeks to explain how learners accomplish tasks interacting with tools. To appropriate a tool, learners develop their own knowledge of how to use it, which turns the tool into an instrument that mediates an activity between learners and a task. The tool used in our study is the Virtual Math Teams with GeoGebra (VMTwG) environment. It contains a chat panel and multiuser version of GeoGebra. The learners are seven middle and high school mathematics teachers who participated in a professional development course in which they collaborated synchronously in VMTwG to solve geometrical tasks. We use conventional content analysis to analyze the work… Continue Reading

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Eric.ed.gov – Math Space Mission. [A Product of] the Regional Math Network: A Teacher Invigoration and Curriculum Development Project.

eric.ed.gov har udgivet: This unit is intended to teach estimation skills in such a way as to be relevant and useful to students as they apply them in various problem-solving activities. The teaching activities feature the earth, exploration into space, and the other worlds in the solar system. The teacher’s guide contains four modules. Module I suggests the use of several multi-media experiences to set the stage for the activities that follow. Module II, “The Solar System,” incorporates teaching activities dealing with rounding numbers, estimation of sums, differences, products and quotients, graphing, and the application of these skills in problem solving. Module III, “The Space Shuttle,” addresses the use of the space shuttle and stresses the mathematical concepts of ratio and proportion. Module IV,”The Space Colony,” uses geometric concepts as… Continue Reading

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Eric.ed.gov – Math for Industry. Computation + Comprehension + Application.

eric.ed.gov har udgivet: This document contains the efforts of a group of teachers to develop curricular materials designed to correlate the subject matter of mathematics with that of a shop course in power mechanics. It is not an adaptation of traditional courses in mathematics, but an attempt to integrate the subject matter of mathematics into the concepts utilized in power mechanics classes. Content is presented under the following chapter headings: Fractions, Decimals, Per Cent, Ratio and Proportion, Directed Numbers, Formulas, Metric System, Geometry, Powers and Roots, and Shop Business. These sections of study are designed to be as inclusive as possible. Included are all activities with which a student will be involved in a teaching situation, along with evaluation materials, worksheets, guides, and other materials that will be used. Each… Continue Reading

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Eric.ed.gov – Student Approaches Resulting from Integration of Cultural Context into Transformation Geometry Activities

eric.ed.gov har udgivet: The purpose of this study is to investigate how students’ in senior grade of the high school participate in and interpret the transformational geometry activities integrated with cultural context. 5 students in senior grade participated in this study, all of whom live in Aydin district of Turkey. The main design of the study is qualitative. Participant students of the study involved in 9 different rotational geometry and culture integrated activities, 7 of which were performed as student activity sheets, 2 of which were performed as cultural games. 2 of the activities were constructed as a result of pilot study applied to 28 senior students by their math teacher. To collect data about how students participated in and made interpretations about the activities; various data collection tools such… Continue Reading