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2013 Mathematics Standards of Learning Institutes General Session

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1 2013 Mathematics Standards of Learning Institutes General Session
October 7, Abingdon (SWVA Higher Ed Center) October 8, Roanoke (Hotel Roanoke) October 21, Richmond (Hilton Richmond Hotel Short Pump) October 22, Williamsburg (DoubleTree Hotel)

2 Learning Outcomes Participants will be able to
analyze assessments for: SOL alignment Level of cognitive demand Format modify existing assessments to raise the level of cognitive demand modify existing resources to promote problem solving

3 “The content of the mathematics standards is intended to support the five goals for students” Mathematics Standards of Learning

4 Five goals…for students to
become mathematical problem solvers that communicate mathematically; reason mathematically; make mathematical connections; and use mathematical representations to model and interpret practical situations Process Goals

5 2009 – Changes in Mathematics Standards

6 2010 – Vertical Articulations and Pedagogy
Mathematical Problem Solving Mathematical Communication Mathematical Reasoning Mathematical Connections Mathematical Representations

7 2011 – Cognitive Demand and Process Goals
Mathematical Problem Solving Mathematical Communication Mathematical Reasoning Mathematical Connections Mathematical Representations

8 2012 – Using Formative Assessment Tools
Mathematical Problem Solving Mathematical Communication Mathematical Reasoning Mathematical Connections Mathematical Representations

9 2013 –Modifying Resources to Promote Problem Solving and Critical Thinking
Participants will Analyze and modify an assessment – compare expectations of SOL and Curriculum Framework to an assessment and modify it to meet intended expectations; and modify an existing instructional task to emphasize process goals and problem solving.

10 Cognitive Demand… “The kind and level of thinking required of students in order to successfully engage with and solve the task.” Stein, Smith, Henningsen, & Silver, (2000)

11 Characteristics of Rich Mathematical Tasks
High cognitive demand (Stein et. al, 1996; Boaler & Staples, 2008) Significant content (Heibert et. al, 1997) Require justification or explanation (Boaler & Staples, in press) Make connections between two or more representations (Lesh, Post & Behr, 1988) Open-ended (Lotan, 2003; Borasi &Fonzi, 2002) Allow entry to students with a range of skills and abilities Multiple ways to show competence (Lotan, 2003)

12 Level of Cognitive Demand in Activities

13 Level of Cognitive Demand in Activities
High Level of Cognitive Demand Med Med Low

14 Level of Cognitive Demand in Activities
Write a real-world problem using this expression. Is the value of this expression more or less than 1? How do you know? Simplify.

15 Instruction and Assessment
Assessment should have – Purpose: instruction should be designed with the assessment in mind Balance: be strategic in the development Conceptual vs. procedural Levels of cognitive demand Varied formats

16 Learning Community Planning/Pacing long/short term
Instruction what/how Common Assessments development/ modification Analyze Data and Student Work

17 Professional Development Resources
Online professional development modules will be provided on the VDOE Mathematics Web site 2 modules with 7 parts total, broken into (roughly) 45-min segments Facilitators guide, all necessary documents Options for delivery grade-level/subject area teams to work through professional development in their learning community meetings division-wide professional development

18 21st Century Video


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