eric.ed.gov har udgivet: This teacher’s guide is intended for use in helping Kodak Corporation employees develop the basic mathematics skills required to perform the manufacturing and quality control tasks expected of them. The following topics are covered in the first five modules: the four basic functions (adding, subtracting, multiplying, and dividing), calculations involving decimals, percentages, positive and negative numbers, and fractions. The sixth module reviews the topics covered in the preceding modules and helps students transfer the mathematics skills presented to applications on the shop floor. Each module includes some or all of the following: the module goal, an introduction, materials and guidelines for direct instruction, activities for use in guided practice, materials for use in applied practice, activities to develop critical thinking strategies, and a pretest and posttest. Transparency… Continue Reading →

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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: 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 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: Technology-enhanced learning generally focuses on the cognitive rather than the affective domain of learning. This multi-method evaluation of the INBECOM project (Integrating Behaviourism and Constructivism in Mathematics) was conducted from the point of view of affective learning levels of Krathwohl “et al.” (1964). The research questions of the study were: (i) to explore the affective learning experiences of the three groups of participants (researchers, teachers and students) during the use of a mobile game “UFractions” and an intelligent tutoring system “ActiveMath” to enhance the learning of fractions in mathematics; and (ii) to determine the significance of the relationships among the affective learning experiences of the three groups of participants (researchers, teachers and students) in the INBECOM project. This research followed a sequential, equal status, multi-mode research design… Continue Reading →

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eric.ed.gov har udgivet: This workbook is designed as an easy-to-read, slower-paced mathematics text for students who have learning, reading, and language problems. Helping students fulfill mathematics requirements for graduation is a goal; the book can be used as the core or supplement to the mathematics curriculum in mainstreamed or special education classrooms, in mathematics laboratories, or as part of sheltered workshop and vocational training programs. The eight units begin with a brief discussion of how fractions are used in real life. Each lesson focuses on only one major concept, and includes comprehension exercises with an answer key. Most lessons are reinforced with at least one worksheet, available in the teacher’s guide. The units are titled: Fractions All Around You, Naming Fractions, Different Names for the Same Amount, Renaming Fractions, Comparing… Continue Reading →

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eric.ed.gov har udgivet: This curriculum guide, one of 15 volumes written for field test use with educationally disadvantaged industrial education students needing additional instruction in the basic skill areas, deals with helping students develop basic mathematics skills while studying woodworking. Addressed in the individual units of the guide are the following topics: using a ruler, calculating the greatest number of cuts from hardboard, calculating frame length in cabinetmaking, figuring board footage, figuring the cost of hardwood lumber, figuring the cost of finishing materials, doing lattice multiplication, and using fractions and decimals in the wood shop. Each unit contains some or all of the following: a discussion of the major concepts of the technique being covered, instructions to the teacher concerning the use of the given technique, suggested related activities, student… Continue Reading →

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eric.ed.gov har udgivet: This document contains the lesson plans for a 12-week course in basic workplace math that was developed for clothing and textile workers through the joint efforts of Northeastern Illinois University’s Chicago Teachers’ Center and the Amalgamated Clothing and Textile Workers Union. A chart for recording students’ mastery of 25 course objectives is provided. The following topics are covered in the 12 course units: goal setting and math phobia; enumerating and computing; basic operations and workplace computing (addition and subtraction); basic operations and workplace computing (multiplication and division); workplace problems for production; introduction to fractions; basic operations for fractions; word problems using fractions; percentages and fractional equivalents; measurement (imperial versus metric); numerical interpretations on blueprints; and calculators and estimating and general review. The lesson plan included for each… Continue Reading →

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eric.ed.gov har udgivet: This curriculum guide, one of 15 volumes written for field test use with educationally disadvantaged industrial education students needing additional instruction in the basic skill areas, deals with helping students develop basic mathematics skills while studying metalworking. Addressed in the individual units of the guide are the following topics: performing lattice multiplication, reading a ruler, marking lines for welding, choosing the correct size rivet, using fractions and decimals to build metal shop projects, measuring with decimals, and reading a micrometer. Each unit contains some or all of the following: a discussion of the major concepts of the technique being covered, instructions to the teacher concerning the use of the given technique, suggested related activities, student instructions, a student assignment, supplemental activities, and one or more worksheets. A… Continue Reading →

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eric.ed.gov har udgivet: Contemporary state math standards emphasize that students must demonstrate an understanding of the mathematical ideas underlying the computations that have typically been the core of the elementary school math curriculum. The standards have put an increased emphasis on the study of fractions in upper elementary grades, which are the years during which students build a strong foundation in fractions concepts. At the same time, the National Mathematics Advisory Panel (2008) cites limited understanding of fractions as the key reason for the high failure rate in algebra courses. Longitudinal data from both the United States and the United Kingdom have demonstrated that knowledge of fractions in the elementary grades plays a powerful role in subsequent success in algebra, the gateway to math achievement in high school. Members of… Continue Reading →

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