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PROFESSIONAL LEARNING TASK
Professional learning tasks (PLTs) are activities that are designed to engage teachers in authentic
aspects of instructional practice.   These activities allow teachers “to access, utilize, and develop
knowledge of mathematics content, pedagogy, and student learning simultaneously” (Ball & Cohen,
1999; Silver, 2008).

The Case of Ron Castleman
This case portrays a seventh grade teacher (Ron) as he facilitates students’ engagement with a task
that requires them to use visual representations to determine the percent, fraction, and decimal
corresponding to a portion of a shaded area of a 4-by-10 rectangular grid. The case depicts Ron’s
attempts to support his students’ work without telling them precisely how to solve the problem,
thereby keeping the enactment of the task at a high level of cognitive demand. This case also offers
readers a dichotomous situation in that it depicts Ron using the same task twice, with different groups
of students. The dual enactments sharpen a reader’s attention to the MTF, by making visible the
relationship between a teacher’s instructional decisions and students’ opportunities to learn.
Facilitators can use “dual cases” to press even MTF novices to make relevant observations that can be
supported by evidence in the narrative. (Silver et al., 2008)




Implementing Standards-based Mathematics Instruction
Stein, Smith, Henningsen, & Silver (2000, 1st edition & 2009, 2nd edition)

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2

  • 1. 2.01.00_PLT PROFESSIONAL LEARNING TASK Professional learning tasks (PLTs) are activities that are designed to engage teachers in authentic aspects of instructional practice. These activities allow teachers “to access, utilize, and develop knowledge of mathematics content, pedagogy, and student learning simultaneously” (Ball & Cohen, 1999; Silver, 2008). The Case of Ron Castleman This case portrays a seventh grade teacher (Ron) as he facilitates students’ engagement with a task that requires them to use visual representations to determine the percent, fraction, and decimal corresponding to a portion of a shaded area of a 4-by-10 rectangular grid. The case depicts Ron’s attempts to support his students’ work without telling them precisely how to solve the problem, thereby keeping the enactment of the task at a high level of cognitive demand. This case also offers readers a dichotomous situation in that it depicts Ron using the same task twice, with different groups of students. The dual enactments sharpen a reader’s attention to the MTF, by making visible the relationship between a teacher’s instructional decisions and students’ opportunities to learn. Facilitators can use “dual cases” to press even MTF novices to make relevant observations that can be supported by evidence in the narrative. (Silver et al., 2008) Implementing Standards-based Mathematics Instruction Stein, Smith, Henningsen, & Silver (2000, 1st edition & 2009, 2nd edition)