eric.ed.gov har udgivet: Given the vital importance of using a scientific approach for curriculum development, the authors employed a design experiment methodology (Brown, 1992; Shavelson et al., 2003) to develop and evaluate, FUSION, a first grade mathematics intervention intended for students with or at-risk for mathematics disabilities. FUSION, funded through IES (Baker, Clarke, & Fien, 2008), targets students’ understanding of whole number concepts and skills and is being designed as a Tier 2 intervention for schools that use a multi-tiered service delivery model, such as Response to Intervention (RtI). In developing this intervention, the authors have drawn extensively from the converging knowledge base of effective math instruction (Gersten et al., 2009; National Math Advisory Panel, [NMAP] 2008) and the critical content areas of first grade mathematics recognized by national bodies… Continue Reading →
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eric.ed.gov har udgivet: The Teacher Education and Mathematics project, funded by the Women’s Educational Equity Act, developed curriculum materials to increase mathematical knowledge and confidence, increase the perception of mathematics as a female domain, reduce math anxiety, and develop skills in identifying and counteracting sex bias in mathematics instruction. To develop effective materials, a formative evaluation was to document materials’ use at each stage of development, to assess student responses to materials, to collect judgment of external experts, and to collect reactions and suggestions of instructors who used the materials. Evaluation issues explored in this paper are: reliance on observer descriptions and participant ratings, effects on students and instructional staff of intensive observations, effects on students of frequent requests for feedback and evaluative reactions, and the extent to which professionals… Continue Reading →
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eric.ed.gov har udgivet: In collaboration with two other research organizations, the authors integrate principles of the BEAR Assessment System with Universal Design for Learning principles to develop and validate learning progressions and an aligned, universally designed formative and summative classroom assessment system for promoting conceptual understanding of number sense/operations for students with Math Learning Disabilities (MLD). This research will help to create an effective and validated formative assessment system for meaningfully and validly diagnosing and promoting student learning outcomes on constructs central to number sense and operations for whole numbers up to and including elementary fractions. The assessment system will offer a powerful tool that will provide teachers cutting edge research and empirically based resources for validly monitoring student knowledge and progress, meaningfully interpreting evidence about student learning from formative… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Research has identified characteristics of professional development programmes (PDPs) that are important for accomplishing change in teachers’ practice and student achievement. However, these characteristics do not predict and guarantee the outcomes of a specific PDP. In the present study the authors investigated whether the expectancy-value theory of achievement motivation can be used to explain teachers’ change of practice. Through teacher interviews and questionnaires the authors investigated why randomly selected year-7 teachers, after participating in a PDP on formative assessment, changed their practice in ways identified in an earlier study, and why these changes differed from those of year-4 teachers participating in a similar PDP. The results show that expectancy-value theory can be used to explain both the schoolyear-7… Continue Reading →
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eric.ed.gov har udgivet: The authors’ hypothesis is that if teachers (as experts) understand and teach concepts from the position of expertise teacher quality will improve. They believe that focusing on the key ideas will deepen both teacher and student understanding and allow learners to build the concepts necessary to form solid foundations for the application of mathematics both in and out of school. But such methods of instruction often require that teachers learn to reorganize and teach fundamental concepts in more expert-like ways. Because many teachers were taught in a system that stressed procedure rather than conceptual understanding, and the dearth of guidance on how teachers might change their teaching in this manner, such change may be difficult. Building on the expert-novice literature, and the findings by Carpenter, Fenamya, Levi,… Continue Reading →
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eric.ed.gov har udgivet: In May 1992, 22 Massachusetts mathematics educators who either teach or coordinate/direct adult basic education (ABE) and General Educational Development (GED) programs were recruited into a group called the Math Team. During their monthly business/training sessions in central Massachusetts, members worked on various individual and team activities, including review and adaptation of the National Council of Teachers of Mathematics (NCTM) standards for adult learning environments and production of newsletter for adult educators called “The Problem Solver.” Team members were interviewed during the eighth month of the yearlong project to determine their attitudes toward the Math Team’s operation and effectiveness as a staff development activity. Interviewees credited the Math Team with improving their understanding of mathematics and ability to reach students, helping them gain energy and motivation from… Continue Reading →
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eric.ed.gov har udgivet: Formative assessment is a process that engages teachers and students in gathering, interpreting, and using evidence about what and how students are learning in order to facilitate further student learning during a short period of time. The process offers the potential to guide educator decisions about midstream adjustments to instruction that address learner needs in a timely manner. Formative assessment can be implemented in classrooms in various ways. For example, formative assessment can be quick and informal, such as giving students “I learned…” prompts to reflect on and discuss their progress toward lesson objectives. Formative assessment can also be more formal and involve multiple components, such as curriculum-based measurement, to frequently track and analyze individual student learning for the purpose of modifying instruction as warranted (Black &… Continue Reading →
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eric.ed.gov har udgivet: The Bill and Melinda Gates Foundation has invested in the development and dissemination of instructional tools to support teachers’ incorporation of the Common Core State Standards (CCSS) into their classroom instruction. Math experts have developed formative assessment lessons (FALs) that teachers can incorporate throughout the year’s curriculum. The Foundation has asked RFA to study teachers’ early adoption of the FALs, focusing particularly on their response to and use of the lessons. The lessons were piloted in urban, rural, and suburban school districts in four states and two national networks of schools during the 2010-11 school year, which is referred to as Year 1 in this booklet. This booklet is a synthesis of what the authors learned from practitioners over the course of the pilot year, 2010-11. It… Continue Reading →
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eric.ed.gov har udgivet: In the winter and spring of 2012-2013 the Educational Policy Improvement Center (EPIC) partnered with representatives from the Office of Secondary/Postsecondary Transitions at Oregon Department of Education (ODE) and the Oregon Department of Community Colleges Workforce Development (CCWD) to guide secondary and postsecondary instructors in the development and implementation of formative performance assessments. The instructors recruited for this project included both secondary and postsecondary educators from the fields of Career and Technical Education (CTE), English/language arts (ELA), and mathematics. EPIC’s goal during the project was to create a process for educators to collaboratively develop high-quality performance tasks that are aligned to the Common Core State Standards (CCSS) and are consistent with the Smarter Balanced Assessment Consortium’s (SBAC) model of performance tasks. A group of instructors from across… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT This study explored feedback conveyed in nine triadic conferences in teacher education practicum. The supportive character of formative feedback was explored in detail by employing a framework that combines two conceptualisations of feedback.The study depicted feedback directed backwards, upwards or forward and focusing performance, strategies, self-regulation or personal characteristics inside a framework of self-regulated learning. Findings show the teacher student to be more active in feed up, feed back and feed forward than previous studies have shown. Furthermore the conversations were found to be characterised by joint problem-solving in which all three parties focused on the student’s professional teacher-becoming. In conclusion, the findings indicate a feedback practice characterised by ‘sustainable’ feedback that scaffolds students’ self-assessing competence while fostering… Continue Reading →
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