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Eric.ed.gov – Child Development Associate Training Program. Unit III: Development of Cognitive Skills in Young Children. Module 4: Beginning Math Development with Young Children.

eric.ed.gov har udgivet: This Child Development Associate (CDA) training module is intended to teach CDA interns how to provide classroom experiences that promote basic mathematics skills in preschool children. Knowledge of relationships of objects in space, grouping of objects, teaching of number names and counting, and the use of math games are discussed. The trainee is encouraged to learn how to plan and develop lessons, games, activities and environmental conditions to teach about objects and their location in space. Both teacher and trainee materials are provided in the module. Teacher materials consist of directions for pre-testing and field supervision, a resource person activity list and directions for each student activity. Trainee materials include pre- and post-tests, an activity record, a glossary, directions and 17 lessons. (Author/RH) Link til kilde

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Eric.ed.gov – Pamela Kaye’s General Math Class: From a Computational to a Conceptual Orientation. Research Series No. 172.

eric.ed.gov har udgivet: This case study presents a descriptive portrait of how one general mathematics teacher transformed her classes from a computational to a conceptual orientation. The outcomes of the transformation for student learning and instruction are discussed. The findings suggest student gains in computational competence, mathematical effort, and attitude via concept-oriented instruction exceeded notably the gains of students in other classes where instruction was computationally oriented. The study employed field-research methods including observations, interviews, and the collection of student data across the project’s three years to capture and describe the nature and effects of the instructional interventions. At the end of the intervention period, students and instruction were organized in ways that focused student interest, attention, and involvement on the learning of mathematics. Many illustrative segments of classroom interactions… Continue Reading

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Eric.ed.gov – Mathematics Teaching for the Future

eric.ed.gov har udgivet: The universities and faculties which educate teachers of mathematics for teaching pupils/students of any age group from pre-school age to higher education carefully monitor and compare valuable results of this research, detect the areas in which the mathematical achievements of pupils should be improved at the national level and propose the ways to improve the quality of education and achieve better learning outcomes. We deem particularly valuable contributions of the researchers regarding the samples of poorer mathematical achievements at the “local level” in neighbouring countries, as well as the presentation of examples of good practice by means of which we pave the path towards better achievements of pupils and, consequently, the improvement in the quality of teaching mathematics at the “local,” as well as the global level.… Continue Reading

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Eric.ed.gov – Mathematics Mastery: Secondary Evaluation Report

eric.ed.gov har udgivet: The Mathematics Mastery programme is a whole-school approach to teaching mathematics that aims to raise attainment for all pupils and close the attainment gap between pupils from low income families and their peers. The programme aims to deepen pupils’ conceptual understanding of key mathematical concepts. This clustered Randomised Controlled Trial (RCT) investigated whether implementing the Mathematics Mastery programme led to improvement in Year 7 pupils’ maths test scores. It was intended that schools would also begin to use the programme in Year 8 in the second year of implementation, and continue until the approach was in place across the school. 44 schools from London and the South East participated in the trial, with a total sample of 5,938 pupils. Participating schools received training and resources to support… Continue Reading

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Eric.ed.gov – Talking Science in an ESL Pre-K: Theory-Building with Realia

eric.ed.gov har udgivet: What is realia and theory-building? Tim Kinard and Jesse Gainer explain that when students explore using “realia,” they are not just being exposed to abstract concepts or text on a page, they are using “real-life” objects to build understandings of the natural world while they builds vocabulary about it. Handling and discussing real-world objects (acorns, pine cones, flowers, bones, antlers, dirt), in both the first language of the students, as well as a second language learned in school, builds vocabulary quickly as students engage in meaningful communication with scaffolds bridging first and second languages. The use of “realia” and other visuals are one way to provide ESL students opportunities for meaningful communication in English. Creating strategic partnerships that pair ELLs with native English speakers is another effective… Continue Reading

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Eric.ed.gov – River Falls Mall Math Trails: Connecting Elementary Mathematics to the World.

eric.ed.gov har udgivet: This collection of activities demonstrates how the study of elementary mathematics can be extended beyond the school and involve teachers and students in investigative, problem-based experiences. The activities include topics in geometry, concept of number, algebra, measurement, graphing, statistics, and probability, and are organized into five different math trails. With this method of organization, up to 100 elementary students can participate in the activities on the same day. Each math trail has 10 activities and each activity utilizes the particular attributes of the section of the mall in which it is situated. Students collect the necessary data at the mall and then complete the activities upon returning to their classrooms by interpreting the data and applying their previous learning and understanding in mathematics to solve a real-life… Continue Reading

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Eric.ed.gov – Using Literature To Help Emergent Readers Develop Concepts in Math, Social Studies, and Science.

eric.ed.gov har udgivet: It is imperative that classroom teachers encourage emergent literacy without sacrificing literature or an introduction to some of the basic concepts in the content areas. This annotated bibliography features some examples of titles recommended by “Best Books for Children” which carry content standards recently established by national organizations and/or state departments of education for the lower grades. The bibliography lists four books which are compatible with science education content standards, four books which are compatible with history-social science standards, and five books which are compatible with mathematics content standards. Each annotation consists of a description of the book, a brief description on the concept addressed, and a class activity to be conducted after reading the book aloud. (NKA) Link til kilde

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Eric.ed.gov – “All of a Sudden They Got It”: Understanding Preservice Teachers’ Perceptions of What It Means To Know (in) Math.

eric.ed.gov har udgivet: In a recent study at the University of Regina, preservice teachers were asked questions about their internship experiences of teaching mathematics. One question in the study focused on asking preservice teachers to recall their most meaningful experiences in the mathematics classroom during their internship, to which many responded with stories of how their students all of a sudden just “got” a concept and how this could even be visually detected. It is interesting to note the comparisons between their responses to this question about meaningful experiences and their responses to other questions concerning their images of math as a subject, their attitudes toward math, and their perceptions of what it means to know (in) math. Factors other than ability influence students’ approaches to challenges, their persistence (or… Continue Reading

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Eric.ed.gov – From 1 to Z: Integrating Math and Language Learning.

eric.ed.gov har udgivet: Techniques for integrating English-as-a-Second-Language (ESL) instruction and mathematics instruction, particularly the language of mathematics, are discussed. Focus here is on mathematics instruction for limited-English-speaking students in the mainstream classroom. First, examples of the academic language of mathematics that students must develop are outlined. Some instructional techniques that incorporate students’ own language and background in the construction of mathematics concepts and formal mathematics register are then offered. These include: techniques to make mathematics lessons more comprehensible and ways to promote interaction and provide a classroom environment conducive to language and literacy acquisition; methods for maintaining high expectations for language minority students and helping them develop higher-order cognitive and metacognitive skills and strategies; and assessment of language development alongside conceptual knowledge. A concluding discussion looks at the roles of… Continue Reading

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Eric.ed.gov – Instrumental Appropriation of a Collaborative, Dynamic-Geometry Environment and Geometrical Understanding

eric.ed.gov har udgivet: To understand learners’ appropriation of technological tools and geometrical understanding, we draw on the theory of instrumental genesis (Lonchamp, 2012; Rabardel & Beguin, 2005), which seeks to explain how learners accomplish tasks interacting with tools. To appropriate a tool, learners develop their own knowledge of how to use it, which turns the tool into an instrument that mediates an activity between learners and a task. The tool used in our study is the Virtual Math Teams with GeoGebra (VMTwG) environment. It contains a chat panel and multiuser version of GeoGebra. The learners are seven middle and high school mathematics teachers who participated in a professional development course in which they collaborated synchronously in VMTwG to solve geometrical tasks. We use conventional content analysis to analyze the work… Continue Reading