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 article reports the findings of a study designed to examine the influence of multimodal writing on the communication of mathematical ideas. Elementary school students (ages 8-13) were required to write mathematics notes using two digital writing technologies, a personal digital notepad and a social mathematics blog, in the context of a formal intervention. Forty-two students participated, across three schools. The study showed that when students wrote notes that could be assessed for correctness, their answers were predominately right, indicating that mathematical sense-making was taking place. It also showed that the digital notepad and blog were used differently and that the type of technology influences the writing content. Moreover, students’ mathematical writing were understandable by their peers and students collaboratively explored solutions. Younger students were more likely… Continue Reading →
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eric.ed.gov har udgivet: Recently, the Department of Teacher Education and the Liberal Studies Program in the School of Education at California State University, Dominguez Hills (CSUDH) collaborated in developing a Blended Liberal Studies/Teacher Education Program (BLTEP) for upper division transfer students interested in completing an elementary credential. The BLTEP curriculum blends the regular Liberal Studies Program with the elementary credential program. Students take both subject matter and pedagogy courses concurrently, as well as a set of blended content and pedagogy courses in science, social science, and mathematics. This article details the curriculum development process of the blended mathematics course, “LBS 360 Math Content and Methods.” The content in this course combines the study of real numbers and problem solving with pedagogy for teaching math content to elementary-aged students. The blending… Continue Reading →
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eric.ed.gov har udgivet: This paper reports on the processes and results of a project on the instruction and practices of mathematics problem solving and strategies. Students in the second, third, and fifth grades were targeted to increase achievement in the area of math problem solving. Problem solving achievement was measured using performance tasks, rubrics, and tests from September 2001 to January 2002. Appendices include a teacher survey, pretests and posttests, scoring rubrics, problem solving steps and strategies, and writing stems. (Contains 26 references.) (KHR) Link til kilde
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eric.ed.gov har udgivet: Piggybacking is a new approach to a university-level methods class in math, science, and social studies in early childhood education developed at the McKay Campus School in Fitchburg, Massachusetts. This approach seeks to improve on methods courses that ask college students to pretend they are teaching young children or pretend they are being instructed. The piggybacking approach is a cooperative learning methodology in which first graders are paired with undergraduate early childhood education students. These pairs, or “piggybackers,” work together to teach and learn hands-on math, science, and social studies techniques. By working with first graders and approaching education from their perspective, pre-service teachers learn the importance of using real world experience to teach math, social studies, and science. (MM) Link til kilde
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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: The article contains general information about the use of specialized mathematics software in the preparation of math teachers. The authors indicate the reasons to study the mathematics software. In particular, they analyze the possibility of presenting basic mathematical courses using mathematical computer tools from both a teacher and a student, argue in favour of using software instead of traditional paper-and-board style. The special course of the study of mathematics software (main tasks of the course are disclosed; knowledge and skills that students should possess on completion of their studies are dedicated; content of computer workshop is detailed) is briefly described. Also the authors give a detailed solution and its methodic basis of typical problem with the use of the SCM Maple. The typical errors which made by… Continue Reading →
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eric.ed.gov har udgivet: This Teacher Education and Mathematics (TEAM) content module focuses on patterns. 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 recommends teaching approaches to the materials and provides answers to… Continue Reading →
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eric.ed.gov har udgivet: This Teacher Education and Mathematics (TEAM) content module focuses on metric measurement. Topics addressed include decimal structure and prefixes, precision in measurement, reference measures, United States customary and metric systems, volume, area, and conversion. The module 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 guide and solutions to exercises gives the instructor approaches to the exercises and… Continue Reading →
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eric.ed.gov har udgivet: There is a growing body of research focused on the mathematical experiences of Black males in the United States of America. This research has emerged to challenge the dominant narrative in mathematics education focused on Black males’ low performance on international, national, and state standardized tests. There is very little research that has explored the impact of high-stakes testing in mathematics on Black males in urban areas. Using qualitative research methods, this study examines the middle school mathematics experiences of four Black males and provides insight into their responses to challenges they face in urban communities, schools, and math classrooms. Critical race theory was used to illuminate Black males’ desire to be challenged in the classroom and describe the community, school, and classroom conditions that impact their… Continue Reading →
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