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Descriptors:
Video Technology; Mathematics Teachers; Protocol Materials; Grade 8; Teacher Motivation; Inservice Teacher Education; Teacher Attitudes; Observation

Abstract:
Despite the widespread use of classroom videos in teacher professional development, little is known about the specific effects of various types of videos on teachers' cognitive, emotional, and motivational processes. This study investigates the processes experienced by 10 eighth-grade mathematics teachers while they analyzed videos of their own or other teachers' classroom instruction. Findings indicate that teachers viewing videos of other teachers are more deeply engaged in analysis of problematic events. Counterintuitively, observing videos of others corresponds to higher emotional-motivational involvement. Results support the conclusion that observing one's own videos requires more prearrangement and scaffolding than observing others' videos. (Contains 1 figure and 6 tables.) Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract

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Descriptors:
Stakeholders; Mathematics; Case Method (Teaching Technique); Elementary School Teachers; Mathematics Curriculum; Elementary School Mathematics; Interviews; Mathematics Teachers

Abstract:
This qualitative study examined perspectives of two key stakeholder groups, instructors and students, on mathematics content courses for prospective elementary teachers (Mathematics for Teachers [MFT] courses). A collective case study approach, which drew from the data of two cases in different but comparable settings, contributed to the robustness of the findings. Cross-case analysis of the interview data revealed several convergent themes: the role of affect in student learning, pedagogy and instructor disposition, connections to the elementary classroom, and mathematics content. The findings included both conflicting and complementary perspectives between the two key stakeholder groups. When juxtaposed, the multiple viewpoints offer insights into some of the central issues related to teaching and learning in MFT courses and suggest potential avenues for improving experiences in these courses. Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract

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Descriptors:
Foreign Countries; Mathematics Instruction; Grade 1; Mathematics Teachers; Thinking Skills; Mathematical Logic; Grade 2; Academic Achievement; Mathematics; Interviews; Problem Solving

Abstract:
This paper examines the perceptions and understandings of ten grades 1 and 2 Singapore mathematics teachers as they learned to use clinical interviews (Ginsburg, "Human Development" 52:109-128, 2009) to understand students' mathematical thinking. This study challenged teachers' pedagogical assumptions about what it means to teach for student understanding. Clinical task-based interviews opened a window into students' knowledge, problem-solving and reasoning, and helped teachers reflect on their teaching and assessment of student learning. Teachers also learnt about what it means to establish a culture of thoughtful questioning in the classroom and developed an emerging awareness that this requires a readiness to hear students' ideas and connect informal or invented strategies with classroom mathematics. Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract

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Descriptors:
Identification (Psychology); Academic Failure; Low Achievement; Mathematics Achievement; Mathematics Instruction; Mathematics Teachers; Teacher Attitudes; Grade 7; Teacher Student Relationship

Abstract:
Leaning on a communicational framework for studying social, affective, and cognitive aspects of learning, the present study offers a new look at the construction of an identity of failure in mathematics as it occurs through teaching-learning interactions. Using the case of Dana, an extremely low-achieving student in 7th grade mathematics, I attempt to unearth the mechanisms of interaction between Dana and myself, her teacher, that instead of advancing Dana, perpetuated her failure. Through examining the interactional routines followed by Dana and me, I show how Dana's deviations from normative routines resulted in my identification of Dana as "clueless" in mathematics. This identification, shared both by Dana and by me, was accompanied by adherence to ritual rule following that did not enable Dana's advancement in mathematical discourse. This case points to the need to re-examine permanent difficulties in mathematics in light of the reciprocal nature of such difficulties' (re)construction in teaching-and-learning interactions. Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract

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Descriptors:
Learning Disabilities; State Standards; Mathematics Skills; Mathematics Instruction; Elementary Secondary Education; Academic Standards; Mathematics Tests; Outcomes of Education; Mathematics Teachers; Evidence; Intervention; Basic Skills; Elementary School Teachers; Secondary School Teachers; Elementary School Students; Secondary School Students

Abstract:
The Common Core State Standards provide teachers with a framework of necessary mathematics skills across grades K-12, which vary considerably from previous mathematics standards. In this article, we discuss concerns about the implications of the Common Core for students with mathematics difficulties (MD), given that students with MD, by definition, struggle with mathematical skills. We suggest that instruction centered on the Common Core will be challenging and may lead to problematic outcomes for this population. We propose that working on foundational skills related to the Common Core standards is a necessary component of mathematics instruction for students with MD, and we provide teachers with a framework for working on foundational skills concurrent with the Common Core standards. We caution, however, that implementation of the Common Core is in its infancy, and the implications of the Common Core for students with MD need to be monitored carefully. (Contains 1 table and 3 figures.) Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract

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Descriptors:
Student Characteristics; Racial Factors; Ethnicity; Stereotypes; White Students; Racial Differences; Grade 10; African American Students; Hispanic American Students; High School Students; Asian American Students; Surveys; Teacher Attitudes; Student Attitudes; Parent Attitudes; Student Behavior; English Teachers; Mathematics Teachers

Abstract:
Previous research demonstrates that students taught by teachers of the same race and ethnicity receive more positive behavioral evaluations than students taught by teachers of a different race/ethnicity. Many researchers view these findings as evidence that teachers, mainly white teachers, are racially biased due to preferences stemming from racial stereotypes that depict some groups as more academically oriented than others. Most of this research has been based on comparisons of only black and white students and teachers and does not directly test if other nonwhite students fare better when taught by nonwhite teachers. Analyses of Asian, black, Hispanic, and white 10th graders in the 2002 Education Longitudinal Study confirm that the effects of mismatch often depend on the racial/ethnic statuses of both the teacher and the student, controlling for a variety of school and student characteristics. Among students with white teachers, Asian students are usually viewed more positively than white students, while black students are perceived more negatively. White teachers' perceptions of Hispanic students do not typically differ from those of white students. Postestimation comparisons of slopes indicate that Asian students benefit (perceptionwise) from having white teachers, but they reveal surprisingly few instances when black students would benefit (again, perceptionwise) from having more nonwhite teachers. (Contains 4 tables.) Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract

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Descriptors:
Standard Setting (Scoring); Cognitive Processes; Mathematics Tests; Language Tests; English (Second Language); Second Language Learning; English Teachers; Mathematics Teachers; Grade 5; Cutting Scores; Influences; Feedback (Response); Developing Nations; Foreign Countries

Abstract:
Considerable research about standard setting has revolved around a U.S.-centric policy context. That is, over the past decade, conclusions about thought processes and the interaction of education policy and panelists' judgments have been based on assumptions of comparable policy settings. However, whether these assumptions generalize to other education contexts is to some extent unknown. This study addresses what standard setting panelists in a developing nation think about when making item performance estimates for students in various performance categories. Panelists were asked to respond to a set of questions at various stages of the standard setting workshop. The results suggested that panelists gained experience about standard setting procedure, understanding descriptions of the performance level categories, and making more consistent decisions on the test items. Most of the panelists were not influenced by the item p-value and impact data while making Round 2 ratings. However, the panelists did mention that the feedback data helped them to understand better the four performance level categories and provided a reality check of their Round 1 item performance estimates. Salient factors for panelists in this study are compared with findings from other research in the area. (Contains 8 tables.) Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract

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Descriptors:
Foreign Countries; Elementary School Mathematics; Grade 1; Grade 4; Grade 7; Capacity Building; Program Descriptions; Culturally Relevant Education; Units of Study; Teacher Education; Graduate Study; Curriculum Development; Teacher Role; Elementary School Teachers; Mathematics Curriculum; Mathematics Instruction; Mathematics Teachers; Pacific Islanders

Abstract:
The first goal of this Project is the development of elementary school mathematics curricula sensitive to indigenous mathematical thought and experience. A necessary prerequisite for the achievement of this goal is to recapture and honor the mathematics developed and practiced in the Micronesian communities. This is the Project's second goal. The third goal of the project is to build local capacity by offering advanced degree opportunities to the indigenous mathematics educators who transform what they find in their local cultural practices into grades 1, 4, and 7 mathematics curriculum units. Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract

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Descriptors:
Epistemology; Mathematics Education; Dialects; Mathematics Teachers; Culturally Relevant Education; Foreign Countries; Ideology; Knowledge Level; Philosophy

Abstract:
The problem of culturally decontextualised mathematics education faced by Nepali students, teachers and teacher educators has often been oriented by the view of the nature of "mathematics as a body of pure knowledge," which gives rise to an exclusive emphasis on an ideology of singularity, epistemology of objectivism, language of universality and logic of certainty whilst developing curriculum, conceiving pedagogies and implementing assessment strategies in school mathematics education and mathematics teacher education programmes. With epistemic referents of dialectical logics and performative imagination, an alternative view of the nature of "mathematics as an impure knowledge" is discussed with its possible disempowering features, such as essentialism, hegemony and dualisms. Finally, an inclusive view of the nature of "mathematics as im/pure knowledge system" is articulated with the help of various forms of dialectics. Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract

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Descriptors:
Individualized Instruction; Private Schools; Grade 11; Mathematics Instruction; Secondary School Mathematics; Mathematical Concepts; Mathematical Aptitude; Equations (Mathematics); Mathematics Teachers; Instructional Materials; Teaching Methods; Peer Teaching

Abstract:
Teachers of mathematics recognize the difficulty of reaching every student when the range of student abilities puts a considerable strain on the classroom discussion and time. In a response to the problem, students are grouped so that those with greater mathematical aptitude help those who have difficulties. While this approach is to be appreciated, it tends to mean that the more able students have less opportunity to explore further their own initiatives in mathematics, while those who have more difficulties find themselves on the receiving end with little opportunity to be in the role of enriching the mathematics experience for everyone, including themselves. A "multiple-centres" approach is designed to overcome these problems. In this variation of differentiated instruction, all students get the chance to engage the material from a vantage point and at a level they find interesting and challenging as a consequence of their selecting extensions of the teacher's initial focus problem. This article will present some findings of 11th year (roughly Fifth Form) average mathematics students at a US Independent School in transforming the standard quadratic equation to represent fountain parabolic trajectories, which was the teacher's focus problem, along with some multiple-centre investigations they chose. A further set of opportunities with commentaries providing additional centres for student inquiry are included. Note:The following two links are not-applicable for text-based browsers or screen-reading software. Show Hide Full Abstract

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