Rubel, L. & Hall-Wieckert, M. (2015, July 30). How kids are learning math, maps and spatial justice. Retrieved from www.mediashift.com.
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This paper explores the potential of integrating critical and place-based perspectives supported by mobile, digital technologies in secondary mathematics. The paper describes two curricular modules: Local Lotto, a mathematical investigation of the state lottery, and Cash City, a mathematical investigation about pawn shops, which were piloted in a high school in an underserved neighborhood in New York City.
This paper argues that successful practice-based teacher education requires innovations in assessment that can better inform preservice teachers and those who prepare them. Such assessments must focus directly on specific teaching practices of novice teachers, as well as offer opportunities to assess the use of content knowledge for teaching. Simulations, an assessment type used in other professional fields, hold promise as one means for gathering data about and providing feedback on teaching.
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Research leads to a framework modifying Toulmin's model of argumentation to help teachers interpret classroom discussion and support students' contributions.
Singletary, L. & Conner, A. (2015). Connecting research to teaching: Focusing on mathematical arguments. Mathematics Teacher, 109(2), 143-147).
Practitioner-focused article connecting research on argumentation to teachers' practice.
In this article Jessica Hunt explores the use of clinical interviews to gain a deep understanding of students' knowledge. Examples of clinical interviews are provided and advice for planning, giving and interpreting the results of interviews is also included.
Hunt, J.H. (2015). How to better understand the diverse mathematical thinking of learners. Australian Primary Mathematics Classroom, 20(2), 15-21.
Little to no information exists explaining the nature of conceptual gaps in understanding fractions for students with learning disabilities (LD); such information is vital to practitioners seeking to develop instruction or interventions. Many researchers argue such knowledge can be revealed through student’s problem-solving strategies. Despite qualitative differences in thinking and representation use in students with LD that may exist, existing frameworks of student’s strategies for solving fraction problems are not inclusive of students with LD.
Tzur, R. & Hunt, J. (2015). Iteration: Unit fraction knowledge and the French fry tasks. Teaching Children Mathematics, 22(3), 149-157.
Current intervention research in special education focuses on children's responsiveness to teacher modeled strategies and not conceptual development within children's thinking. As a result, there is a need for research that provides a characterization of key understandings (KUs) of fractional quantity evidenced by children with learning disabilities (LD) and how growth of conceptual knowledge may occur within these children's mathematical activity.
Current intervention research in special education focuses on children's responsiveness to teacher modeled strategies and not conceptual development within children's thinking. As a result, there is a need for research that provides a characterization of key understandings (KUs) of fractional quantity evidenced by children with learning disabilities (LD) and how growth of conceptual knowledge may occur within these children's mathematical activity. This case study extends current literature by presenting KUs of fractional quantity, evidenced through problem solving strategies, observable operations, and naming/quantification of one fifth grader with LD before, during, and after seven instructional sessions situated in equal sharing.
The STEM School Study (S3) team sat down with inclusive STEM school leaders from over 25 inclusive STEM schools and asked them to describe the parts of their schools that are essential to their school models. We found that while STEM schools vary in many ways, there are eight major Elements common to them all. Each Element is comprised of a number of components and together, they illustrate what STEM schools are and lay the groundwork for understanding how STEM schools work to achieve their goals.
