eric.ed.gov har udgivet: This standards review is the first in a series of annual reviews of the Colorado Model Content Standards. Its purpose is to identify student performance over time on measures of exiting mathematics standards, identify ways to affirm and strengthen standards and more clearly articulate the practices used by Colorado schools to promote student achievement to those standards. Discussion areas include: (1) national overview of K-12 mathematics; (2) math standards and achievement in Colorado; (3) input from educators; (4) research and financial resources; and (5) characteristics of “math-successful” elementary and secondary schools. Ten recommendations are presented for improving mathematics teaching and performance: (1) Be clear about the math topics students are expected to know at each grade level; (2) Be clear about what specific proficient student work looks… Continue Reading →
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eric.ed.gov har udgivet: Three key features of a proposed capstone mathematics course for the preparation of teachers at the secondary level are: 1) teacher candidates examine concepts from the curriculum at a deeper level in the context of rich problems; 2) they investigate common themes in the math curriculum, such as shape and change, then collaborate on and present their research; and 3) they create portfolios of extensions and course reflections, products that require them to engage in higher-level, original thinking. Through this variety of assessments, the instructor is able to see future teachers of mathematics from multiple perspectives: their mathematical knowledge, their dispositions, and their beliefs about what mathematics is and how to effectively communicate the essential ideas. Participants’ reflections indicate that those aspects of the course that have… Continue Reading →
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eric.ed.gov har udgivet: The purpose of this study was to provide statistical evidence to demonstrate that peer collaboration on math homework increases academic performance in math. This study examined the benefits of peer collaboration on two unit tests on multiplication. It compared the results of students who worked collaboratively on homework and those who did not. The null hypotheses in the study stated that there was no significant differences in performance between children who work collaboratively in small groups and those who work individually at the .05 level of significance. The entire study took six weeks. The subjects of this study included eighteen eight and nine year old third graders. The class included one child with a learning disability and five talented and gifted students showing various levels of intelligence… Continue Reading →
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eric.ed.gov har udgivet: Mathematics methods coursework can be an innovative environment through which to emphasize the integration of real-world data structures and opportunities. These opportunities can create instructionally informative opportunities for learners, as well as inform teacher candidates of innovative teaching tools at their fingertips. NASA offers numerous curricular opportunities to the mathematical methods coursework, with work focusing on both PreK-12 learners as well as university learners. Such a wide array of interest levels integrate numerous learning objectives, depending upon the needs and desires of the instructors and learners whom they serve. This paper focuses on the innovative opportunities that the NASA educational entity offers to the PreK-12 as well as university mathematical methods courses. Examples are presented in links to several Web sites, which are developed by and in… 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 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: This investigation compared the attitudes of business and elementary education majors on the enjoyment and value of mathematics. Fifty elementary education majors and 58 business majors participated. The mathematics attitude questionnaire contained two sections of questions: eight questions on the enjoyment of mathematics and eight questions on the value of mathematics. The attitude of enjoyment was not significantly different between the business and elementary majors. However, elementary education majors valued mathematics significantly higher than did the business majors. It was also found that both the elementary education and business majors value mathematics to a significantly higher degree than they enjoy mathematics. No significant differences were found between male and female business majors’ enjoyment and value scores. (Author/YP) 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: 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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