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Eric.ed.gov – Year 3 of Implementing the Common Core State Standards: Professional Development for Teachers and Principals

eric.ed.gov har udgivet: Timely, ongoing, and effective professional development for teachers and principals will be critical to the successful implementation of the Common Core State Standards (CCSS). These voluntary state-developed standards in mathematics and English language arts (ELA) outline the knowledge and skills that students in grades kindergarten through 12 are expected to learn to be prepared for college and careers. As of July 2013, the CCSS have been adopted in math and ELA by 45 states and the District of Columbia and by one additional state in ELA only. If teachers and principals are going to be prepared to help their students master the Common Core and pass the aligned assessments that will be ready in school year 2014-15, they will need professional development on various issues related to… 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 – Toward Social Justice: The Characteristics of an Effective Mathematics Intervention Program for Urban Middle School Students

eric.ed.gov har udgivet: This two-part investigation (a) assessed the impact of the Jaime Escalante Math Program (JEMP), a structured summer mathematics intervention program, on the math achievement of urban middle school students, (b) identified the characteristics of the program that the administrators and teachers perceived to contribute to student achievement, and (c) compared the JEMP characteristics to those found in the literature on effective mathematics intervention programs. A mixed methods approach included analysis of two years of student math assessment data, administrator interviews, and teacher surveys. Quantitative findings indicate that student participants in the JEMP achieved significant growth in mathematics on two measures. Additionally, effective program elements are revealed in the qualitative data including specific classroom instructional strategies used in the JEMP. The results of this study will assist educators… Continue Reading

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Eric.ed.gov – Getting Everyone Involved in Family Math

eric.ed.gov har udgivet: Teachers from the departments of Mathematics and Computer Science, and Curriculum and Instruction at the University of Wisconsin-Whitewater collaboratively developed and implemented an evening math event, “Family Math Fun Night,” at local elementary schools. As an assignment, preservice elementary teachers developed hands-on mathematical activities, adaptable for different ages and abilities, to engage children and parents. The pre-service elementary teachers presented a variety of activities at each school site to small groups of families and school personnel. This paper outlines the purpose, structure, and benefits of the project for all its participants. (Contains 1 endnote.) Link til kilde

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Eric.ed.gov – Understanding Math – Teachers Guide.

eric.ed.gov har udgivet: The teacher’s guide for the remedial text-workbook “Understanding Math” discusses instruction of the deaf student. An answer key for workbooks 1 and 2, a section with masters for transparencies to be used for games and activities and for teaching fractions, and two patterns for making geometric solids are included in the guide. For workbooks 1 and 2, see SE 015 827 and SE 015 828. (DT) Link til kilde

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Eric.ed.gov – Finding the Maths: Helping Students Connect Their Mathematical Knowledge to Other Contexts

eric.ed.gov har udgivet: The plethora of data that confronts teachers on a daily basis requires that they know more than simply being able to calculate. It demands that they understand the context in which the mathematical ideas are embedded and what those ideas are telling them in relation to that context. Also, it necessitates that they are prepared to question how data, and the associated claims, are presented. For primary teachers, the implication is that they must be prepared to help their students to develop these skills. The “Finding the Maths” strategy described in this article has been shown to be successful in helping students achieve this outcome. The aim of using this strategy is to encourage students to develop the three types of thinking referred to in the numeracy… Continue Reading

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Eric.ed.gov – Middle School Science and Mathematics Teachers’ Conceptions of the Nature of Science: A One-Year Study on the Effects of Explicit and Reflective Online Instruction

eric.ed.gov har udgivet: Science, Technology, Engineering, and Mathematics (STEM) education has become one of the main priorities in the United States. Science education communities and researchers advocate for integration of STEM disciplines throughout the teaching curriculum. This requires teacher knowledge in STEM disciplines, as well as competence in scientific literacy. Since nature of science (NOS) is a critical component of scientific literacy, this study examined teachers’ conceptions NOS over a one-year period. Participants included 21 middle school science and mathematics teachers who integrated science and mathematics in their classrooms. We employed two NOS instruments to collect data on participants’ NOS conceptions “before” and “after” a one-year online graduate program. This study examined changes in NOS understanding for the group as a whole, between science and mathematics teachers, and whether beginning… Continue Reading

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Eric.ed.gov – Common Errors and Misconceptions in Mathematical Proving by Education Undergraduates

eric.ed.gov har udgivet: Ninety-seven education students majoring or minoring in mathematics had their math homework examined in a Number Theory or Abstract Algebra course. Each student’s homework was observed for the purpose of identifying common errors and misconceptions when writing mathematical proofs. The results showed that students collectively made four recurring errors: assuming the conclusion in order to prove the conclusion, proving general statements using specific examples, not proving both conditions in a biconditional statement, and misusing definitions. In the same courses taken subsequently by 91 new students, we informed them about these common errors prior to assigning their homework to see how the students’ proving processes would differ. The results showed that more exercises were left blank with comments such as “I’m not sure how to start the proof”,… Continue Reading

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Eric.ed.gov – Numeracy in Health and Physical Education

eric.ed.gov har udgivet: This article describes a teacher’s Maths lesson that focuses on numeracy in health and physical education learning area. In the lesson, the students were learning about Directed Numbers, something they often struggle with and a topic where the teacher finds it hard to explain using real life situations when using addition and subtraction. The teacher began the lesson by outlining what students were expected to achieve. The introduction also included revisiting previous work on how to convert an individual’s number of walking paces to kilometres, as well as directions for the activity that was to follow. The teacher wants to emphasise with other teachers that numeracy is not just about number and that there is great potential to address other strands of mathematics within all learning areas.… Continue Reading

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Eric.ed.gov – University Mathematics Students’ Study Habits and Use of Learning Materials

eric.ed.gov har udgivet: In this article, we report from a group (N=98) of students from two campuses of one Finnish university, on their study habits, and to what extent they use different kinds of learning materials in university mathematics courses. Our results show that the older students are more communicative with their teachers, whereas the younger students ask for help more often from fellow students. The sociomathematical norms that constitute the local study culture have a significant impact on the study habits and on the use of learning materials. For example, the use of videos and studying lecture materials before the lectures were clearly more usual at one campus than at the other. We also found some significant differences between the groups that are based on the study programmes. The… Continue Reading