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 research was designed to elucidate the activity structures and routines of elementary mathematics teachers by describing what they are, analyzing their frequency and duration, analyzing the functions that routines serve for the cognitive processes of teachers, and beginning to model the chains of routines and their fit with planned or spontaneous actions that make up a lesson. Five “expert” teachers and four novice student teachers, along with their classes, comprised the sample. They were observed over a 3-1/2 month period, with note-taking, videotapes and transcribed interviews providing data. For each teacher, transcribed notes and interviews were analyzed and broken down into action records giving duration, action of student, action of teacher, and a name for the action. For two experts and one novice teacher, a more… Continue Reading →
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eric.ed.gov har udgivet: This package contains student and teacher handbooks and a report summarizing a project during which the handbooks were developed as part of a numeracy education course for adult basic and literacy education students. Discussed in the project report are the following: development of the course’s 7 numeracy education units, field testing of the units with 8 teachers and 110 students, subsequent revision of the units, and production of a math literacy curriculum and companion student and educator handbooks. Included in the student handbook are a 22-item bibliography, brief discussion of the curriculum’s purpose and scope, and instructional units containing background information and learning activities on the following topics: reading, writing, and thinking about numbers; looking at numbers; estimating and rounding numbers; using calculators; measurement and its uses;… Continue Reading →
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eric.ed.gov har udgivet: This paper describes implementation of a Lesson Study project with third grade teachers in a small school district to study the development of the critical lenses (perspectives) necessary for meaningful lesson study work. Adapting the Lesson Study process to meet school system needs, two outside facilitators stimulated teacher thinking with math explorations and probing/what if questioning. Using a qualitative methodology and the group as the unit of analysis, data were coded for evidence of and change in the lenses. After one year, the 8 participating teachers showed a qualitative difference in two of the three lenses: the student lens and the curriculum developer lens. (Contains 2 tables and 2 figures.) Link til kilde
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eric.ed.gov har udgivet: Primary students solve “oversized” story problems using drawings, equations, and written responses, helping them understand the links between the language of story problems and the numerical representations of matching equations. The activity also includes oral language and reflective writing, thus bringing together a variety of language experiences into mathematics work. During one 30-minute and one 60-minute session, students will: participate in a shared problem-solving activity; collaborate in small groups to develop a problem-solving strategy; use drawings, words, and equations to model solutions to story problems; effectively and clearly explain their problem-solving strategies to other students; and write about and reflect on their problem-solving strategies. The instructional plan, lists of resources, student assessment/reflection activities, and a list of National Council of Teachers of English/International Reading Association (NCTE/IRA) Standards… Continue Reading →
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eric.ed.gov har udgivet: In this lesson, students identify the question-answer relationship (QAR) for word problems that relate to a graphic or table. They then use the QAR strategy to determine the mathematical and cognitive actions required to answer the word problem. This activity is particularly appropriate for fourth- and fifth-grade students. During two 40-minute sessions, students will: preview tables to stimulate prior knowledge, make predictions, interact with print, and generate questions and answers about the content; understand that the format of a table supports comprehension of the relationship between data and the self-monitoring of responses to questions; practice analyzing word problems using the QAR strategy to predict a computation strategy and determine a response; understand that the type of question may indicate the need for different cognitive and mathematical actions;… Continue Reading →
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eric.ed.gov har udgivet: The Bill and Melinda Gates Foundation has invested in the development and dissemination of instructional tools to support teachers’ incorporation of the Common Core State Standards (CCSS) into their classroom instruction. Math experts have developed formative assessment lessons (FALs) that teachers can incorporate throughout the year’s curriculum. The Foundation has asked RFA to study teachers’ early adoption of the FALs, focusing particularly on their response to and use of the lessons. The lessons were piloted in urban, rural, and suburban school districts in four states and two national networks of schools during the 2010-11 school year, which is referred to as Year 1 in this booklet. This booklet is a synthesis of what the authors learned from practitioners over the course of the pilot year, 2010-11. It… Continue Reading →
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eric.ed.gov har udgivet: This booklet is a teacher’s guide for a lesson, appropriate for grades 3-9, to strengthen students’ mathematics skills while increasing their knowledge of energy. It consists of a game in which teams of students solve mathematics problems about energy units. The booklet contains 24 challenging mathematics word problems and 1 mega-question. (MKR) Link til kilde
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eric.ed.gov har udgivet: This report describes the conduct and outcomes of an experimental pilot study conducted in Spring 2004 to develop and test a model that aimed to enhance career and technical education (CTE) instruction with the mathematics already embedded in the curricula of six occupational areas. Although present in the CTE curriculum, math is largely implicit to both teachers and students. The impetus for the study is that many high school students, particularly those in enrolled in CTE courses, do not have the math skills necessary for today’s jobs or college entrance requirements. This research project was aimed at using an authentic context for teaching math skills. Preparation for the study began in the summer of 2003 with the nationwide recruitment of teacher-participants. CTE teachers who were interested in… Continue Reading →
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eric.ed.gov har udgivet: The purpose of these modules is to provide an introduction to the world of probability and statistics to accelerated mathematics students at the high school level. The modules also introduce students to real world math concepts and problems that property and casualty actuaries come across in their work. They are designed to be used by teachers and students of AP courses (primarily AB and BC Calculus) after the AP exam, but of course they can be used at any time. Statistical thinking is critical in today’s society. Data are everywhere and students will see and recognize misinterpretations all the time. “Probability & Statistics: Modular Learning Exercises” cover: (1) Basic Statistics Concepts; (2) The Normal Model; (3) Discrete Probability Distributions; and (4) Correlation and Regression. Link til kilde
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