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 har udgivet: Given the vital importance of using a scientific approach for curriculum development, the authors employed a design experiment methodology (Brown, 1992; Shavelson et al., 2003) to develop and evaluate, FUSION, a first grade mathematics intervention intended for students with or at-risk for mathematics disabilities. FUSION, funded through IES (Baker, Clarke, & Fien, 2008), targets students’ understanding of whole number concepts and skills and is being designed as a Tier 2 intervention for schools that use a multi-tiered service delivery model, such as Response to Intervention (RtI). In developing this intervention, the authors have drawn extensively from the converging knowledge base of effective math instruction (Gersten et al., 2009; National Math Advisory Panel, [NMAP] 2008) and the critical content areas of first grade mathematics recognized by national bodies… Continue Reading →

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eric.ed.gov har udgivet: The study examined whether 7th-graders’ knowledge of rational numbers improved when the students’ math teachers participated in related professional development activities. The study analyzed data on about 4,500 students and 200 teachers from approximately 80 schools in 12 districts during the 2007-08 academic year. The study found that students in schools where teachers were offered extensive professional development by the study performed no better on a test of math achievement in rational numbers than students in comparison schools at the end of the 2007-08 academic year. However, the study found a significant positive impact of the professional development on one of the three measures of teacher instructional practices examined. Teachers who were offered the study’s extensive professional development engaged in 1.03 more activities per hour that elicited… Continue Reading →

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eric.ed.gov har udgivet: In collaboration with two other research organizations, the authors integrate principles of the BEAR Assessment System with Universal Design for Learning principles to develop and validate learning progressions and an aligned, universally designed formative and summative classroom assessment system for promoting conceptual understanding of number sense/operations for students with Math Learning Disabilities (MLD). This research will help to create an effective and validated formative assessment system for meaningfully and validly diagnosing and promoting student learning outcomes on constructs central to number sense and operations for whole numbers up to and including elementary fractions. The assessment system will offer a powerful tool that will provide teachers cutting edge research and empirically based resources for validly monitoring student knowledge and progress, meaningfully interpreting evidence about student learning from formative… Continue Reading →

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eric.ed.gov har udgivet: Recognizing the role numbers play in people’s everyday lives is crucial to students’ math understanding now and down the road. That’s why Bob Krech, a curriculum specialist in New Jersey’s West Windsor-Plainsboro district, likes to teach a lesson he calls “Numbers All Around Us.” This lesson uses real-world examples to show that numbers help people answer many questions, including “How much?” “How fast?” and “Where do I go?” Expert teacher Bob Krech shares strategies for teaching real-world math. Link til kilde

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eric.ed.gov har udgivet: This instructor’s guide contains materials for a 40-hour course designed to refresh math skills for current computer numerical control machine operators. The course uses two instructional methods: computer-based multimedia and traditional instruction. The course description lists target audience and general objective. The next section gives instructors basic information related to providing successful educational programs in a workplace setting, an instructor’s lexicon of strategies and principles that can be used in teaching, instructor’s role and responsibilities, and course objectives. An explanation of lesson format describes these components of each lesson plan: unit name; lesson name; description and specific goals; objectives; prerequisite skills; technology use; materials needed; teacher to teacher; pretest; posttest; purpose/rationale; procedures/activities; evaluation and extension activities; resources; and homework. A section on planning and scheduling deals with… Continue Reading →

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eric.ed.gov har udgivet: This is one in a series of publications designed for parents and teachers to help children acquire developmentally appropriate basic educational skills at home and in school. Topics included are: (1) “What is math?” explaining mathematical concepts such as number, measurement, space, and time; (2) “How do children learn about math?”; (3) “Why is an understanding of math important?”; (4) “How you can help your children learn math?”; and (5) “Points to keep in mind.” (YP) Link til kilde

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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: A teacher that emphasizes reasoning, logic and validity gives their students access to mathematics as an effective way of practicing critical thinking. All students have the ability to enhance and expand their critical thinking when learning mathematics. Students can develop this ability when confronting mathematical problems, identifying possible solutions and evaluating and justifying their reasons for the results, thereby allowing students to become confident critical thinkers. Critical thinking and reasoning allows students to think about how they utilize their discipline of mathematical skills (i.e., they think about their method of thinking). Metacognition helps students to recognize that math is logical reasoning on solutions to problems. Students are taught how to: identify scenarios; evaluate; select problem-solving strategies; identify possible conclusions; select logical conclusions; describe how a solution was… Continue Reading →

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eric.ed.gov har udgivet: In the last two decades, mathematics teachers have shown a great deal of interest in how students learn mathematics through journal writing. I have also used journals in mathematics classes for the last five years. Based on the analysis of more than 1800 journal entries written by approximately 200 students in the last five years, I conclude that journal writing has potential to aid in student mathematical learning even though teachers need a large amount of time to examine student journals and provide feedback. Math journals not only help instructors in understanding students’ feelings, likes, and dislikes about classes but also help students to demonstrate their mathematical thinking processes and understanding. (Author) Link til kilde

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