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Eric.ed.gov – Teaching Mathematics in a Project-Based Learning Context: Initial Teacher Knowledge and Perceived Needs

eric.ed.gov har udgivet: This paper reports on initial data from teachers at an Australian Year 9-12 secondary school which is attempting to implement a project-based learning model across the entire curriculum. The eight teachers had diverse prior teaching experiences, including work in primary schools, special education, Year 7-10 secondary schools, and technical and further education. None had studied mathematics at tertiary level and just one listed maths as a main teaching area. Results of an initial survey indicate that most had reasonable levels of personal mathematics competence, and could identify relevant mathematical concepts among the affordances of a particular scenario, but that they struggled to articulate how they would work with students to pursue any of the relevant mathematics in depth. [This project was funded by University of Tasmania Research… Continue Reading

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Eric.ed.gov – Perspectives on Algebra I Tutoring Experiences with Students with Learning Disabilities

eric.ed.gov har udgivet: The researchers conducted a qualitative analysis of the perceptions of school personnel and pre-service teachers about an Algebra I tutoring program for students with learning disabilities. The researchers surveyed and interviewed the participants about the effectiveness of the program for the mathematics learning of the students with LD at the school and as a learning experience for the pre-service teachers. The school personnel indicated there was a mutually beneficial relationship between the tutors and the school. The perceptions of the tutors revealed considerations about the challenges they face as Algebra I tutors of students with learning disabilities including remembering Algebra I content, posing strategic questions to students, dealing with students’ math anxiety, and conveying Algebra I content accessibly. The tutors reported positive experiences in the program including… Continue Reading

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Eric.ed.gov – Exploring Links between Foundation Phase Teachers’ Content Knowledge and Their Example Spaces

eric.ed.gov har udgivet: This paper explores two foundation phase teachers’ example spaces (a space in the mind where examples exist) when teaching number-related topics in relation to snapshots of their content knowledge (CK). Data was collected during a pilot primary maths for teaching course that included assessments of teacher content knowledge (CK). An analysis of a content-knowledge focused pre-test developed for the larger study indicated a relatively high score for one teacher and a low score for the other. Using Rowland’s (2008) framework, an analysis of classroom practice showed associations between a higher CK and the extent of a teacher’s example space and more coherent connections between different representational forms. Although no hard claims or generalisations of the link between teachers’ example spaces and their level of mathematics content knowledge… Continue Reading

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Eric.ed.gov – Utilizing a Flipped Learning Model to Support Special Educators’ Mathematical Knowledge for Teaching

eric.ed.gov har udgivet: Flipped learning is a popular pedagogical approach in K-12 and in higher education (Graziano, 2017), however minimal research exists on the effectiveness of flipped learning in special education teacher preparation courses. Special education teacher candidates enrolled in five sections of a special education math methods course engaged with interactive, flipped “learning lessons” prior to class. During class, they participated in extension activities and lesson planning. The researchers utilized mixed methods to evaluate the impact of performance on and engagement with these learning lessons and found positive predictive relationships with student achievement on all individual summative assignments. Nearly all students agreed flipped learning was useful in helping them meet the course outcomes. Most students specifically credited the flipped lessons as a facilitator of their learning because they allowed… Continue Reading

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Eric.ed.gov – Components of High-Quality Mathematics Classrooms: Attending to Learning Opportunities for English Language Learners

eric.ed.gov har udgivet: In response to the call for research on integrating best general practices in teaching with those that promote equity and access, we present a two-part study focused on instructional strategies that may remove learning barriers for English Language Learners. We theoretical developed and empirically explored supplemental components for traditional quality of instruction measures (MQI, Hill, 2014, Math Habits Tool, Melhuish & Thanheiser, 2017). We share results from a quantitative study empirically verifying the effect of suggested ELL-focused instructional strategies (Chval & Chávez, 2011) on ELL learning via the creation of an additional MQI dimension. Based on these results, we then provide theoretical operationalizations of these strategies to integrate into the student-and-teacher interaction tool: the Math Habits Tool (Melhuish & Thanheiser, 2017) as means to concretize these strategies… Continue Reading

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Eric.ed.gov – An Exploratory Study of Effective Online Learning: Assessing Satisfaction Levels of Graduate Students of Mathematics Education Associated with Human and Design Factors of an Online Course

eric.ed.gov har udgivet: This exploratory research project investigated graduate students’ satisfaction levels with online learning associated with human (professor/instructor and instructional associate) and design factors (course structure and technical aspects) using a survey study. A total of 81 graduate students (master’s students who majored in math and science education) enrolled in an online math methods course (Conceptual Geometry) participated in this study. According to the results of this study, student satisfaction level is closely associated with clear guidelines on assignment, rubrics, and constructive feedback. In addition, student satisfaction level is related to professor’s (or course instructor’s) knowledge of materials. Link til kilde

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Eric.ed.gov – Code-Switching Explorations in Teaching Early Number Sense

eric.ed.gov har udgivet: New semiotic perspectives about the role of language in mathematics education indicate that teachers have a fundamental role in communicating and teaching the language that carries mathematical meaning. However, little is known about how educators of young children understand and use the language of mathematics. This study addresses this void. Supported by the understanding that mathematics has its own language (Pimm, 1987), the study focuses on code switching–the mixing of words from two languages–by educators as they shift between the language of instruction and the language of mathematics. A qualitative multiple case study approach utilizing discourse analysis was used to explore three early years teachers’ math talk. Findings indicate that these educators code-switched to the mathematics register when they talked about numbers, number words and counting, to… 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

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Eric.ed.gov – The Shift from “Learner/Doer of Mathematics” to “Teacher of Mathematics”: A Heuristic for Teacher Candidates

eric.ed.gov har udgivet: Successful teacher preparation programs provide learning experiences that help teacher candidates make the shift from “student” to “teacher.” In this paper we present research on the implementation of a process for providing candidates such experiences. Utilizing the Mathematics as Teacher Heuristic (MATH) process, prospective high school mathematics teachers explore rich problems by solving the task, analyzing samples of student work, designing a solution key, and modifying the task. We use their engagement in these explorations and reflections on the process to analyse the development of candidates’ Content Knowledge and Pedagogical Content Knowledge. Link til kilde

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Eric.ed.gov – Mixed Methods Evaluation of Statewide Implementation of Mathematics Education Technology for K-12 Students

eric.ed.gov har udgivet: An extensive body of research has demonstrated that the use in a K-12 classroom of technology, such as the Internet, computers, and software programs, enhances the learning of mathematics (Cheung & Slavin, 2013; Cohen & Hollebrands, 2011). In particular, growing empirical evidence supports that certain types of technology, such as intelligent tutoring systems and adaptive learning systems, have a positive impact on students’ academic achievement in math and their attitudes toward math (Arroyo, Burleson, Tai, Muldner, & Woolf, 2013; Ma, Adesope, Nesbit, & Liu, 2014; Pane, Griffin, McCaffrey, & Karam, 2013; Steenbergen-Hu & Cooper, 2013). These kinds of learning systems yield positive effects by providing students with personalized instruction tailored to “the pace, order, location, and content of a lesson uniquely for each student” (Enyedy, 2014, p.… Continue Reading