eric.ed.gov har udgivet: This guide presents math-focused learning projects and accompanying inquiry activities to help students pass the math portion of the GED 2002. It is Volume 2 of a proposed four-volume series; Volume 1 describing the concept of the GED as project is also available. Section 1 relates GED as project to the math portion of the GED and explains how inquiry activities use Official GED Math Practice Test questions as stimuli and can serve as models for teacher-designed activities. It introduces the template for math inquiry activities, a series of steps and questions that fulfill the learner-centered thinking and process this guide proposes. Section 2 is an introductory learning project that helps learners comprehend and internalize information about the GED, “GED Math and You.” The two inquiry activities… Continue Reading →
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eric.ed.gov har udgivet: The cubic polynomial with real coefficients has a rich and interesting history primarily associated with the endeavours of great mathematicians like del Ferro, Tartaglia, Cardano or Vieta who sought a solution for the roots (Katz, 1998; see Chapter 12.3: The Solution of the Cubic Equation). Suffice it to say that since the times of renaissance mathematics in Italy various techniques have been developed which yield the three roots of a general cubic equation. Students studying a mathematics specialism as a part of the Victorian VCE (Mathematical Methods, 2010), HSC in NSW (Mathematics Extension in NSW, 1997) or Queensland QCE (Mathematics C, 2009) are expected to be able to recognise, plot, factorise, and even solve cubic polynomials as described by ACARA (ACARA, n.d., Unit 1, Topic 1: Functions… Continue Reading →
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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 har udgivet: “I CAN Learn”[R] is a computer software system that provides math instruction through a series of interactive lessons. These lessons are delivered with a one-to-one student-to-computer ratio. Students determine the pace of each lesson and must demonstrate mastery of the lesson before progressing to the next one. Teachers provide individualized instruction to students on the basis of their performance on the lessons. The available “I CAN Learn”[R] curricula include fifth- to sixth-grade math, pre-algebra, algebra, and geometry. These curricula are aligned to the National Council of Teachers of Mathematics standards and can be customized to meet state- or district-specific standards. Studies included in this What Works Clearinghouse (WWC) review assess the effectiveness of the pre-algebra and algebra components of “I CAN Learn”[R]. One study (Barrow, Markman, &… Continue Reading →
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eric.ed.gov har udgivet: Research reports from the annual conference of the International Group for the Psychology of Mathematics Education include: “A Comparison of Children’s Learning in Two Interactive Computer Environments” (Edwards); “On Building a Self-Confidence in Mathematics” (Eisenberg); “Classroom Discourse and Mathematics Learning” (Ellerton); “Constructivism, the Psychology of Learning, and the Nature of Mathematics” (Ernest); “Cognition, Affect, Context in Numerical Activity among Adults” (Evans); “Teachers’ Pedagogical Knowledge: The Case of Functions” (Even; Markovits); “Cognitive Tendencies and Abstraction Processes in Algebra Learning” (Filloy-Yague); “On Some Obstacles in Understanding Mathematical Texts” (Furinghetti; Paola); “Toward a Conceptual-Representational Analysis of the Exponential Function” (Goldin; Herscovics); “Duality, Ambiguity and Flexibility in Successful Mathematical Thinking” (Gray; Tall); “Children’s Word Problems Matching Multiplication and Division Calculations” (Greer; Mc Cann); “Children’s Verbal Communication in Problem Solving Activities” (Grevsmuhl);… Continue Reading →
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eric.ed.gov har udgivet: This document presents materials that were developed for a presentation explaining how the Gordon Cooper Technology Center in Shawnee, Oklahoma, obtained state certification for the geometry and trigonometry program that is embedded in its residential and commercial construction program and enables its students to receive high school geometry or trigonometry credit and thereby meet the Oklahoma PASS (Priority Academic Student Skills) objectives for high school math credit. The document begins with a brief description of the presentation’s objectives and content. The remainder of the document consists of the following presentation handouts: (1) excerpts from Oklahoma legislation regarding high school graduation requirements affecting students attending technology centers; (2) the program approval letter sent to the technology center; (3) a description of the math program approval process; (4) information… Continue Reading →
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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 har udgivet: Mathematics has become increasingly important in this technological age. That is why it is even more important for children to learn mathematics at home as well as in school. This second edition of “Helping Your Children Learn Math” is for parents of children in kindergarten through fifth grade. It has been revised to include a variety of activities that will help children learn and apply mathematical concepts such as geometry, algebra, measurement, statistics, and probability in useful and fun ways. All of the 29 activities in this book relate mathematics to everyday life and complement many school mathematics lessons. Additional resources are also listed at the end. (ASK) Link til kilde
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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 har udgivet: This article describes a 21st century how-to model for successful career and technical education (CTE) programs. The Geometry in Construction program is the brainchild of two educators, a CTE and a math teacher, who wanted to design a rigorous geometry course taught through a project-based curriculum. This article discusses how they did it, and how one can use the basic principles they outline to do some core content integration of one’s own. Link til kilde
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