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 har udgivet: This book was developed for teachers, youth group leaders, after-school child care providers, and parents, who may not have the time or the expertise to develop strategies for preparing students to be effective problem solvers. The content is organized in a pyramid style to make it easy to locate and grasp the information provided. Information on effective strategies for teaching general real-life problem solving is provided first. Similar information specific to real-life math problem solving follows. Together these two sections lay a foundation to prepare teachers to successfully deliver the learning activities subsequently provided. The Learning Activities section is organized by strand as identified by the Ohio Mathematics Proficiency Outcomes. Each section begins with an index of the activities included in that strand. Appendices provide additional details… Continue Reading →

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eric.ed.gov har udgivet: This Teacher Education and Mathematics (TEAM) content module focuses on approximation and estimation. It consists of: (1) an instructor’s text; (2) an instructor’s guide and solutions to student exercises; (3) student materials and exercises; and (4) student summary and review. The instructor’s text provides specific directions for guiding lessons and commentary on mathematics content and mathematics attitudes. This is accomplished by a “facing pages” format whereby the right-hand page provides step-by-step teaching directives while the left-hand page provides teaching insights, other options of instruction, and psychological or attitudinal strategies, when appropriate. The instructor’s text also contains content objectives, specified to indicate the scope and structure of the module, and student evaluation materials. The instructor’s guide and solutions to exercises provides teaching approaches and solutions to problems. Student… Continue Reading →

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eric.ed.gov har udgivet: This teacher’s guide was designed to accompany five student workbooks: Math Language, Understanding Word Problems, Using a Calculator, Estimation, and Solving Word Problems. The series was specifically developed for low achieving students. The teaching gradually progresses in difficulty, but concepts are presented in small chunks that students can successfully handle. Questions within the text repeatedly involve the students’ attention, and their learning is checked and reviewed within each lesson. Word problem situations reflect mathematical problems that students would actually do. Following suggestions for how to present and use the workbooks, the guide contains over 200 blackline master worksheets. A description at the bottom of each page states the concept being developed, and the corresponding unit and page in the student’s workbook. Separate introductions are provided for each… Continue Reading →

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eric.ed.gov har udgivet: In this middle school mathematics unit two imaginary characters, Horatio and Portia, decide to make their fortune in Quincy Market (Boston, Massachusetts) running a Bull Market cart. In order to solve the problems that they encounter, they need to learn ratio and proportion, map reading, estimation, area and perimeter, population sampling, problem solving, and the collecting and processing of data. Teacher notes at the beginning of each section indicate the math objectives, materials, and whether the activity is a reinforcement or an extension of a math skill. The unit is divided into seven modules that can be used either independently or sequentially. These are: (1) an introduction to Quincy Market; (2) the use of the ruler; (3) map exploration; (4) ratio and proportion; (5) scale drawing; (6)… Continue Reading →

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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 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 electronics. Addressed in the individual units of the guide are the following topics: reading a ruler, measuring and monitoring energy consumption, using the correct meter scale, finding voltage drops in a series circuit, converting electrical units, using mathematical formulas, and using scientific notation. 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 basic… 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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