eric.ed.gov har udgivet: This study, firstly, aimed at investigating the various types of the multiple math representations and transitions among them in the 8th grade math textbook, and secondly, teachers’ use of these representations in teaching. The current study employed the content analysis approach to investigate the multiple mathematical representations and transitions among them in 8th Grade Mathematics Textbook. An observation method was used to analyses the teacher practices (n=35 observations), and record the representations and transitions. The results showed that there was an existence of symbol and verbal representations in the textbook and teachers’ implementation. Meanwhile, the other three representations (pictures and figures, models and Cutters, and life situations) and the transactions between them were at low rates in the textbook and teachers’ implementation. Link til kilde
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eric.ed.gov har udgivet: One major issue in mathematics teacher education regards the role of university-level mathematics in teacher knowledge. In the context of a design-based research project, an advanced mathematics teacher education course aimed at strengthening the connections between university-level mathematics and school mathematics was developed. In this paper, I present a case study, conducted within the education course, in which I analyse the characteristics of teacher knowledge produced by five small groups of pre-service teachers in an open-ended problem-based learning task. The results indicate the problem-based learning approach has the potential for enhancing specialised content knowledge such as knowledge of different representations of and applications of mathematical concepts. The results also highlight the challenges in using this approach for enhancing horizon content knowledge such as knowledge about the relationships… Continue Reading →
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eric.ed.gov har udgivet: “Saxon Math” is a textbook series covering grades K-12 based on incremental development and continual review of mathematical concepts to give students time to learn and practice concepts throughout the year. The series is aligned with standards of the National Council of Teachers of Mathematics (NCTM) and various states, and can be adapted for special education students in inclusion classrooms, pullout programs, or self-contained resource classrooms. Although content differs by course, the incremental, distributed approach of “Saxon Math” is the same, with mathematical concepts presented in a series of short “lessons” intended to gradually build understanding and previously-taught concepts practiced and assessed throughout the course. Developed in the early 1980s, “Saxon Math” included four middle school math textbooks used in the studies included in this intervention report.… Continue Reading →
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eric.ed.gov har udgivet: Math is used in many occupations. And, experts say, workers with a strong background in mathematics are increasingly in demand. That equals prime opportunity for career-minded math enthusiasts. This article describes how math factors into careers. The first section talks about some of the ways workers use math in the workplace. The second section focuses on three occupations that use math: (1) cryptologists; (2) health data analysts; and (3) math teachers. A third section highlights reasons why workers enjoy their math-related careers and discusses some of their challenges. And a final section suggests sources for more information. (Contains 2 tables.) Link til kilde
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eric.ed.gov har udgivet: The math emporium model was first developed by Virginia Tech in 1999. In the emporium model students use computer-based learning resources, engage in active learning, and work toward mastery of concepts. This approach to teaching and learning mathematics was piloted in a rural STEM high school. The purpose of this experimental study was to compare the impact of the emporium model and the traditional approach to instruction on student achievement and retention of algebra. The results indicated that both approaches to instruction were equally effective in improving student mathematics knowledge. However, the findings revealed that the students in the emporium section had significantly higher retention of the content knowledge. Link til kilde
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eric.ed.gov har udgivet: The Rural Math Excel Partnership (RMEP) identified math competencies used by technicians in the workplace compared to standards of learning required in the public school curriculum. A modified DACUM process revealed 39 math competencies used by technicians in STEM-related occupations of the rural region. Group interviews with faculty in three community colleges helped substantiate math gaps. A project math specialist and team of teachers identified four types of learning gaps: (1) math competencies not included in state standards; (2) math competencies included in state standards taught prior to Algebra I, Algebra II, Geometry, and Algebra Functions and Data Analysis (AFDA) courses; (3) math competencies included in high school state standards that students struggle to learn; and (4) math competencies community college students struggle to learn. Implications include… Continue Reading →
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eric.ed.gov har udgivet: Historically, secondary students with emotional behavioral disorders (EBD) have made poor progress in mathematics putting them at risk for school failure and placement in an alternative setting. Two under studied areas essential to success in mathematics are fractions and algebra. The purpose of this study was to test the effects of a multi-component intervention on the math performance for middle school students with EBD in an alternative educational setting. This study used a one-group nonequivalent dependent variables design (Shadish, Cook, & Campbell, 2002) with multiple measures in multiple waves to assess the effects. Repeated measures ANOVA indicated that students significantly improved their math performance on both fractions and algebra using researcher developed measures. Social validity results indicated that teacher and students found the intervention to be an… Continue Reading →
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eric.ed.gov har udgivet: With the advance of information and communications technologies, new teaching tools are becoming more pervasive. These tools can be utilized in a variety of ways to improve and enhance math teaching. Considering the integration of technology in teaching mathematics, it is clear that the replacement of board and chalk with digital presentation material does not cover all the aspects of the mathematic subjects. One of the important prerequisites for quality of integration technology into mathematics teaching is the teacher’s personality, i.e. knowledge, willingness and desire to improve his/her lessons bringing mathematics closer to the present generations of pupils. GeoGebra as a dynamic mathematics software allows users to explore multiple representations of mathematics concepts. The paper deals with the problem of deployment of GeoGebra in Lithuanian’s primary math… Continue Reading →
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eric.ed.gov har udgivet: When CME Group Foundation (CME) was formed in 2007 with an endowment from the Chicago Mercantile Exchange Trust, its founders set out to engage in grantmaking that would improve education from cradle to career and strengthen the region’s economy. During its first decade, nearly a quarter of CME’s grants targeted early childhood education with an emphasis on improving early math education. With students in the United States trailing students from other industrialized nations in math, CME’s leaders believed it was crucial to address the problem in the early years. Helping low-income children in Chicago build essential math skills would not only help them succeed in school but would also further the success and economic well-being of the state and the nation. From the beginning, CME’s executive director… Continue Reading →
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eric.ed.gov har udgivet: In 1999, Richard Lee Colvin published an article in “The School Administrator” titled “Math Wars: Tradition vs. Real-World Applications” that described the pendulum swing of mathematics education reform. On one side are those who advocate for computational fluency, with a step-by-step emphasis on numbers and skills and the algebra-geometry-trigonometry-calculus sequence. On the other side are those who think students must engage with real-world problems that employ a variety of mathematical disciplines and deep learning of math concepts that comes from struggling with complex problems, comparing multiple solution paths, and learning from trial and error. To understand what it will take to bring the two sides of the mathematics debate together, first consider the approach each side takes to improve student achievement. One side wants to focus mostly… Continue Reading →
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