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The authors describe how professors can work with schools (teachers and/or administrators) to create and implement a tutoring program designed to promote the learning of Algebra 1 by students with learning disabilities as well as provide a learning experience for undergraduates majoring in special education. From the professors’ perspective, we report on our experiences with developing trusting relationships with schools, matching our tutoring services with the needs of the schools and its students, the logistics regarding setting up trainings and tutoring sessions, and how we provide a learning experience for special education majors and students with learning disabilities.more » « less
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In this paper, we make a case for the importance of teaching secondary school level algebra to students with learning disabilities (LD). Furthermore, we illustrate how they struggle and present best-practices on how they are best supported. We demonstrate effective ways of how teachers can show students with LD how to solve challenging algebra problems. In particular, we depict how educators can help learners with LD show their work on paper in ways that support their thinking processes as they engage with challenging algebra problems.more » « less
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Categorizing mathematics teachers’ questioning: The demands and contributions of teachers’ questionsWe conducted a review of literature to answer the following research questions: (1) What types of questions do teachers pose in mathematical discussions? (2) What evidence exists of the effects of different types of questioning on students’ learning and participation? (3) What are the implications of existing research for teacher preparation? Existing literature can broadly be categorized according to studies that distinguish between higher order and lower order questioning, studies that characterize and distinguish probing questions, and studies that address teacher questioning in technology-rich environments. The demands of different types of questions need to be considered in light of the broader contributions that such questions make to students’ mathematical learning.more » « less
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null (Ed.)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 learning from field experience and, in particular, learning to promote the progress and learning of students with learning disabilities using gestures and strategic questioning.more » « less
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We provide a detailed description of a purposefully sampled tutoring session during which a student with a learning disability displayed common tendencies we have seen in our work on algebra teaching. The student struggled with solving equations in general and especially with distribution and knowing how to distribute terms and what steps to take in the correct order. The tutor responded by helping the student offload information, gesturing while speaking with the student, and asking questions strategically to both support and challenge the student to think critically. The purpose of this paper is to provide, through a case study, an accessible description for teachers and researchers of how students with learning disabilities interact with algebra and how teachers can support and challenge these students in this context.more » « less
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Students with learning disabilities (LD), like other learners, show a range of resources and strategies for reasoning about complex concepts in mathematics. This study comes from a project in which a group of five ninth-grade students with LD participated in a once-weekly tutoring program with university pre-service teachers. We asked, what strategies did students use to reason about slope? Students drew upon knowledge of concepts related to constant covariation when given the opportunity. This study suggests that students with LD have rich conceptual knowledge that can be leveraged to improve their success in Algebra.more » « less