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tandfonline.com – Including School Mathematics Teaching Applications in an Undergraduate Abstract Algebra Course

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge advanced mathematics concepts to secondary school mathematics content for prospective secondary mathematics teachers, as well as provide instructors with a useful resource. Each lesson includes four guiding features: addressing meaningful content; making connections to mathematics teaching; emphasizing… Continue Reading

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Eric.ed.gov – Reducing “Math Anxiety” in College Algebra Courses Including Comparisons with Elementary Statistics Courses.

eric.ed.gov har udgivet: The high levels of anxiety, apprehension, and apathy of students in college algebra courses caused the instructor to create and test a variety of math teaching techniques designed to boost student confidence and enthusiasm in the subject. Overall, this proposal covers several different techniques, which have been evaluated by both students and the instructor. The paper proposes a series of study techniques, which are covered on the first day of class and throughout the course. Armed with practical advice about approaching the algebra course, the students learn by example. The instructor uses examples, such as rules of cricket matches as a way to make the material come to life. Other suggested techniques are making chapter notes available to students, and providing example tests before final exams and… Continue Reading

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Eric.ed.gov – The Aftermath of Accelerating Algebra: Evidence from a District Policy Initiative. Working Paper 69

eric.ed.gov har udgivet: In 2002/03, the Charlotte-Mecklenburg Schools initiated a broad program of accelerating entry into algebra coursework. The proportion of moderately-performing students taking 8th grade algebra increased from less than half to nearly 90%, then reverted to baseline levels, in the span of just six age cohorts. We use this policy-induced variation to infer the impact of accelerated entry into algebra on student performance in math courses as students progress through high school. Students affected by the acceleration initiative scored significantly lower on end-of-course tests in Algebra I, and were either no more likely or significantly less likely to pass standard follow-up courses, Geometry and Algebra II, on a college-preparatory timetable. We also find that the district assigned teachers with weaker qualifications to Algebra I classes in the first… Continue Reading

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Eric.ed.gov – Effects of Varying the Special Educator’s Role within an Algebra Class on Math Attitude and Achievement.

eric.ed.gov har udgivet: This study compared the effects of two different special educator roles within high school algebra classes containing special needs students. The special educator served as either in-room assistant or as co-teacher. The study was conducted for one chapter of algebra study over a 3-week period. No significant differences between groups were found prior to the treatment. Following the two treatments, students in the co-teaching condition scored significantly higher in achievement than did students in the in-room assistance group or the control group. Females in the co-teaching condition achieved significantly higher scores than did females in the control group. Females receiving in-room assistance also scored significantly higher than control group females. No significant findings in achievement were found for males or for students receiving special education services. Appended… Continue Reading

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Eric.ed.gov – From Earth Algebra to Earth Math: An Expansion and Dissemination of the Methods of Earth Algebra [and] Proceedings, Earth Math Conference (Kennesaw, Georgia, April 19-20, 1996).

eric.ed.gov har udgivet: This final report and appended conference proceedings describe activities of the Earth Math project, a 3-year effort at Kennesaw State University (Georgia) to broaden and disseminate the concept of Earth Algebra to precalculus and mathematics education courses. Major outcomes of the project were the draft of a precalculus textbook now being reviewed prior to field testing, and a series of independent study modules appropriate for use in mathematics education courses or as supplementary material in algebra and trigonometry courses. Earth Math materials focus on application of mathematics to real world problems and are intended to improve students’ problem-solving and decision-making abilities. The materials are also intended to demonstrate how to implement the National Council of Teachers of Mathematics standards in school mathematics courses. Separate sections of the… Continue Reading

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Eric.ed.gov – Her Math, Their Math: An In-Service Teacher’s Growing Understanding of Mathematics and Technology and Her Secondary Students’ Algebra Experience.

eric.ed.gov har udgivet: This case study investigates an experienced secondary school mathematics teacher’s understanding of mathematics (“her” math) and decisions she makes about her students’ classroom experiences (“their” math). This report focuses on the competing roles of the teacher’s growing understanding of novel technology-rich mathematics and her decisions about activities and expectations in an algebra course in light of her beliefs about learning and teaching. Data document developments in her mathematical understanding and classroom practice during her first 13 months of teaching Computer-Intensive Algebra as a participant in the Empowering Secondary Mathematics Teachers in Computer-Intensive Environments project (CIME). (Author) Link til kilde

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Eric.ed.gov – Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students. Educator’s Practice Guide. What Works Clearinghouse.™ NCEE 2015-4010

eric.ed.gov har udgivet: Mastering algebra is important for future math and postsecondary success. Educators will find practical recommendations for how to improve algebra instruction in the What Works Clearinghouse (WWC) practice guide, “Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students”. The methods and examples included in the guide focus on helping students analyze solved problems, recognize structure, and utilize alternative approaches to solving algebra problems. Each recommendation includes the level of supporting research evidence behind it, examples to use in class, and solutions to potential implementation roadblocks. Teachers can implement these strategies in conjunction with existing standards or curricula. In addition, these strategies can be utilized for all students learning algebra in grades 6-12 and in diverse contexts, including during both formative and summative assessment. Administrators… Continue Reading

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Eric.ed.gov – Algebra for All: The Effect of Algebra Coursework and Classroom Peer Academic Composition on Low-Achieving Students

eric.ed.gov har udgivet: Algebra is often considered as a gateway for later achievement. A recent report by the Mathematics Advisory Panel (2008) underscores the importance of improving algebra learning in secondary school. Today, a growing number of states and districts require algebra for all students in ninth grade or earlier. Chicago is at the forefront of this movement. Many low-achieving students took remedial math before 1997 and the algebra-for-all policy immersed these students in academic coursework for the first time. Moreover, these low-achieving students experienced a rise in the ability levels of their classroom peers. However, this study suggests that simply requiring algebra is insufficient to improve their outcomes, even though students may benefit from having higher achieving peers in their classrooms. Overall, taking Algebra, instead of remedial math, would… Continue Reading

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Eric.ed.gov – Who Repeats Algebra, and How Does Initial Performance Relate to Improvement When the Course Is Repeated?

eric.ed.gov har udgivet: The information provided in this report shows how students perform when they repeat algebra I and how the level of improvement varies depending on initial course performance and the academic measure (course grades or CST scores). This information can help inform decisions and policies regarding whether and under what circumstances students should repeat the course. The study examined four research questions: (1) How many students repeat algebra I after taking it for the first time?; (2) How do student characteristics (such as race/ethnicity, gender, grade 7 math performance and initial algebra I performance) relate to the likelihood of repeating algebra I?; (3) How well do students perform when they repeat algebra I compared with the first time they took the course?; and (4) How does that difference… Continue Reading

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Eric.ed.gov – Investigating the Usage Patterns of Algebra Nation Tutoring Platform

eric.ed.gov har udgivet: We study the usage of a self-guided online tutoring platform called Algebra Nation, which is widely by middle school and high school students who take the End-of-Course Algebra I exam at the end of the school year. This article aims to study how the platform contributes to increasing students’ exam scores by examining users’ logs over a three year period. The platform under consideration was used by more than 36,000 students in the first year, to nearly 67,000 by the third year, thus enabling us to examine how usage patterns evolved and influenced students’ performance at scale. We first identify which Algebra Nation usage factors in conjunction with math overall preparation and socioeconomic factors contribute to the students’ exam performance. Subsequently, we investigate the effect of increased… Continue Reading