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: The Louisiana mathematics standards were created by over one hundred Louisiana educators with input by thousands of parents and teachers from across the state. Educators envisioned what mathematically proficient students should know and be able to do to compete in society and focused their efforts on creating standards that would allow them to do so. The new standards provide appropriate content for all grades or courses, maintain high expectations, and create a logical connection of content across and within grades. The K-12 mathematics standards lay the foundation that allows students to become mathematically proficient by focusing on conceptual understanding, procedural skill and fluency, and application. This report presents the Math Standards in Louisiana for Kindergarten through Eighth Grade for Algebra I, Geometry, and Algebra II. Link til… Continue Reading →
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eric.ed.gov har udgivet: These Proceedings are a written record of the research presented at the 35th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA 2013) held in Chicago, Illinois, November 14-17, 2013. The theme of the conference is Broadening Perspectives on Mathematics Thinking and Learning. The Proceedings include papers from 1 plenary talk, 2 panel presentations, 68 research reports, 121 brief research reports, 208 posters, and 14 working groups. Chapters include:(1) Plenary Papers; (2) Curriculum and Related Factors; (3) Early Algebra, Algebra, and Number Concepts; (4) Geometry and Measurement; (5) Math Processes; (6) Statistics and Probability; (7) Student Learning and Related Factors; (8) Teacher Education and Knowledge; (9) Teaching and Classroom Practice; (10) Technology; (11) Theory and Research Methods; and… Continue Reading →
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eric.ed.gov har udgivet: Jordanian 8th grade students revealed low achievement in mathematics through four periods (1999, 2003, 2007 & 2011) of Trends in International Mathematics and Science Study (TIMSS). This study aimed to determine whether spatial visualization mediates the affect of Mathematics Learning Strategies (MLS) factors namely mathematics attitude, mathematics motivation, mathematics self-regulation, mathematics self-efficacy, and mathematics anxiety on mathematics achievement. The study consists of 360 students from public middle schools in Alkoura district, selected through stratified random sampling. It employed 65 items to assess MLS, which consists, attitude (18 items), motivation (7 items), self-regulation (25 items), self-efficacy (5 items) and math anxiety (10 items). The mathematics test comprises of 30 items, which has eight items for numbers, 14 items for algebra and eight items for geometry while spatial visualization… Continue Reading →
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eric.ed.gov har udgivet: The plane problem is a real-world problem, presented without any suggestion as to how it might be solved. It arose unexpectedly as the author was messing around on the internet, not thinking about maths at all. She did not encounter the problem in a maths lesson, nor as homework in the middle of a unit on a particular topic, and so she had no clues about what method was going to be useful, or even if she would be able to solve it. All she had–initially at least–was the image of the plane and a mystery: at what altitude is it flying? There is something satisfying about seeing how mathematics can solve a mystery that may appear, at first sight, to be intractable. Students need the opportunity… Continue Reading →
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eric.ed.gov har udgivet: In a study about pre-service secondary mathematics teachers’ (PSMTs) understanding about the nature of theorems in geometry, the researcher noticed that it was challenging for the PSMTs to visualize and draw counterexamples to disprove the given mathematical statements. Meanwhile, the use of the dragging feature of dynamic geometry environments (DGEs), such as the Geometer’s Sketchpad and GeoGebra, in teaching and learning proof and reasoning has been widely discussed and become an ongoing research trend. In this paper, the researcher and her colleague will present a research design aimed at investigating PSMTs’ conceptions of counterexamples in geometric reasoning when using the dragging feature of DGEs. Expected results of the study are potentially beneficial to pre-service/in-service secondary math teachers as well as teacher educators. Link til kilde
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eric.ed.gov har udgivet: In this study we analyze and contrast approaches that future high school math teachers show when solving word problems with the use of pencil and paper and later, with the use of a Dynamic Geometry System (DGS). The resources, representations, strategies and forms of mathematical reasoning that the participants exhibit when they use GeoGebra in the process of problem solving are analyzed. The results show that the use of the tool favors the dynamic exploration of the concepts involved, the formulation of conjectures and the search for different arguments to validate the solution. [This paper is provided in both Spanish and English. For the complete proceedings, see ED606531.] Link til kilde
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eric.ed.gov har udgivet: This study tried to explore the degree of representation of math textbooks for grades (4-8) in the Kingdom of Saudi Arabia concerning the key concepts, shape, and levels of questions used in the TIMSS test. The study population of this study includes both students and teachers from fourth grade to eighth grade. The goal of this study was associated with six key concepts including numbers and their operations, algebra, geometry, measurement, statistics and probability, and a pro-rata. The researcher analyzed the questions and exercises used in the math textbooks to identify their effectiveness and efficiency. In addition, the researcher also calculated the percentages, the levels, and the shape for each key concept. The results of the study were organized in frequency tables. In the light of those… Continue Reading →
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eric.ed.gov har udgivet: The papers in the monograph address different topics related to mathematics teaching and learning processes which are of great interest to both students and prospective teachers. Some papers open new research questions, some show examples of good practice and others provide more information about earlier findings. The monograph consists of six chapters. In the first chapter, the author studies the relation between the surface approach and the strategic approach to learning outcomes according to the results of research conducted with a group of university students in Denmark. This chapter presents the results of research carried out with the students who were required to recognise and interpret mathematical concepts that could be interpreted from the graphs in different contexts. It also provides an insight into a detailed analysis… Continue Reading →
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eric.ed.gov har udgivet: In the United States, the prevailing high school mathematics course sequence begins with a year of Algebra I, followed by a year of geometry and a year of Algebra II. Educators and others have raised concerns about the extent to which this sequence, which prioritizes the mastery of algebra, is appropriate for the longer-term education and career goals of students who do not intend to pursue STEM degrees in college. These concerns have impelled educators and policymakers to reexamine the prominence of algebra in high school mathematics curricula and to consider new approaches that provide students with more mathematics course options better aligned with their academic and career goals. In this paper, we explore existing approaches to high school mathematics curricula as well as new developments in… Continue Reading →
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