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Eric.ed.gov – Do the Math: Cognitive Demand Makes a Difference. Research Points, Volume 4, Issue 2, March 2006

eric.ed.gov har udgivet: Today, mathematics education faces two major challenges: raising the floor by expanding achievement for all, and lifting the ceiling of achievement to better prepare future leaders in mathematics, as well as in science, engineering, and technology. Many students lack access to higher-level mathematics courses and teaching at all levels of pre-college schooling. This is unacceptable in the face of the ever-expanding technical demands posed by higher education and the 21st-century job market. Research reveals that strong academic experience is needed for both college and the workforce. Raising the cognitive demand in the curriculum is necessary for enhancing students’ career prospects. Recent trends show progress, but curriculum policies that limit course options restrict opportunities to learn for traditionally underserved students. This problem is compounded by the sorting of… Continue Reading

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Eric.ed.gov – The Effects of “Math Pathways and Pitfalls” on Students’ Mathematics Achievement: National Science Foundation Final Report

eric.ed.gov har udgivet: This study was designed to assess the impact of “Mathematics Pathways and Pitfalls” (“MPP”) on the mathematics that second-, fourth-, and sixth-grade students learn. The specific research questions that were addressed are: (a) What is the impact of “MPP” on students’ knowledge of the mathematics topics addressed, compared to that of students using the regular math curriculum? and (b) How equitable is the impact of “MPP” on students’ mathematics knowledge across levels of English language proficiency and entering mathematics ability? A cluster-randomized experimental design was implemented in five school districts. In the first year of the study, second-, fourth-, and sixth-grade teachers were randomly assigned within their school districts to either an experimental or a control group. The experimental group teachers were taught how to implement “MPP”… Continue Reading

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Eric.ed.gov – Uses of Mathematics Textbooks for Grade (4-8) as per Basic Concepts and Questions Levels in TIMSS Test: A Study Conducted in Kingdom of Saudi Arabia Schools

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 – The Common Core State Standards for Mathematics

eric.ed.gov har udgivet: The Common Core State Standards for Mathematics (CCSSM) was published in 2010 and includes a complete collection of standards that are published and reviewed as a “common core” in which math skills have been extensively adopted. The recommendations provided have been entirely or partially adapted by more than 47 states of the US. Authorities have committed and incredible amount of time, money and resources in creating these new standards and additional effort will be required to implement these standards The new math standards address two established issues in US education, the ordinary quality of mathematics learning and equal opportunity in U.S. schools. It is a fact that deprived students are most likely to have inexperienced or under qualified teachers, and children from impoverished families are much less… Continue Reading

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Eric.ed.gov – Mathematics Education as a Science and a Profession

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 – The Prevalence or Absence of Attention to Adolescent Literature in the Initial Preparation of Secondary Content Teachers

eric.ed.gov har udgivet: This study examined uses of adolescent literature included secondary teacher preparation in English, math, science, and social studies education at 12 institutions. Analyses revealed programs emphasized adolescent literature in a variety of ways and most often in courses for English majors. Only two institutions required that prospective math, science, and social studies teachers take literacy courses. References to adolescent literature in syllabi other than English/literacy education courses were almost nonexistent. Adolescent literature was primarily used (a) to ensure knowledge of texts, (b) to address issues of diversity in the classroom, and (c) as a means of effective classroom instruction. (Contains 1 table.) Link til kilde

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Eric.ed.gov – A Changing Paradigm in High School Mathematics. CCRC Working Paper No. 125

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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Eric.ed.gov – Achievement Effects of Four Early Elementary School Math Curricula: Findings from First Graders in 39 Schools. NCEE 2009-4053. Executive Summary

eric.ed.gov har udgivet: The purpose of this large-scale, national study is to determine whether some early elementary school math curricula are more effective than others at improving student math achievement, thereby providing educators with information that may be useful for making adequate yearly progress (AYP). This report presents results from the first cohort of first grade in 39 schools participating in the evaluation during the 2006-2007 school year, with the goal of determining the relative effects of different early elementary math curricula on student math achievement in disadvantaged schools. The report also examines whether curriculum effects differ for student subgroups in different instructional settings. A competitive process was used to select four curricula Investigations in Number, Data, and Space; Math Expressions; Saxon Math; and Scott Foresman-Addison Wesley Mathematics) that represent… Continue Reading

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Eric.ed.gov – Acceleration and Compression in Developmental Mathematics: Faculty Viewpoints

eric.ed.gov har udgivet: Community colleges are facing increased pressure to accelerate students through their developmental mathematics sequence. However, many individuals feel that some state legislatures and college leaders are frequently bypassing developmental math faculty expertise when implementing acceleration and compression initiatives. This qualitative study focuses on faculty viewpoints with regard to acceleration and compression in developmental math. Guiding this study was the research question: Based on faculty experience, what is the best fit for the practices of acceleration and compression in developmental mathematics? Data has been gathered using a structured interview format for six developmental math instructors, two at each of three community colleges. Findings from this study suggested that the practices of acceleration and compression are a proper fit for students who are comfortable with computer software. Incoming skill… Continue Reading

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Eric.ed.gov – Problem Solving: How Do In-Service Secondary School Teachers of Mathematics Make Sense of a Non-Routine Problem Context?

eric.ed.gov har udgivet: The concept of mathematical problem solving is an important mathematical process in mathematics curricula of education systems worldwide. These math curricula demand that learners are exposed to authentic problems that foster successful problem solving. To attain this very important goal, there must be mathematics teachers well versed in content and the pedagogy of problem solving. This study investigated problem solving process of in-service secondary school teachers in a non-routine problem context. Teachers? written responses were examined based on Polya?s problem solving theory to elucidate their disposition in relation to the problem context. Findings suggest that the in-service teachers exhibit (1) greater lack of understanding of the non-routine problem, (2) insufficient capacity to select appropriate heuristic strategies, and (3) total failure to reach the final “look back” stage.… Continue Reading