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Standards-based assessment and Instruction

Common Core Math Sessions

 

An Exemplars math consultant leads a

classroom modeling session for teachers

on problem solving.

A major focus of the CCSS for Mathematical Practice is on using problem solving to reinforce important concepts and skills and to demonstrate a student's mathematical understanding.

To effectively implement the Common Core, teachers must have a solid understanding of what problem solving is, why it is important and how to go about implementing it. Problem solving is at the heart of Exemplars material and professional development.

Participants leave our workshops confident to use Exemplars rubrics and anchor papers to assess student performance and link assessment results to teaching and learning.

 

By creating a hands-on experience in which participants learn by doing, Exemplars K-12 professional development sessions give teachers the skills they need to help their students become successful with problem solving and the requirements of the Common Core.

Contact us to learn more or to request a quote.

Sessions for Teachers, Coaches, Specialists

Level 1: Standards-Based Assessment and Instruction for the Common Core: Problem Solving, Rubrics and Anchor Papers

Through the lens of problem solving, this introductory session will provide participants with methods to support and guide mathematics assessment and instruction for the Common Core. At this workshop, individuals will learn how to identify what constitutes a good problem and problem solver, to assess student work with proficiency using the Exemplars math rubric and to use assessment results to guide instruction and improve student performance.

In this session, participants will:

  • Explore the essentials of performance-based assessment and instruction to support the CCSS for Mathematical Content and Practice
  • Discuss appropriate instructional shifts and tools to effectively implement the CCSSM
  • Use Exemplars rubrics and anchor papers to assess students' work
  • Use problem-solving tasks to enrich learning opportunities and supplement core math programs
  • Introduce instructional techniques that promote the CCSS for Mathematical Practice, students' higher-order thinking skills and mathematical communication
  • Make the link from assessment to instruction to improve teaching and learning
  • Define the language of assessment, mathematics, problem solving, Depth of Knowledge, Universal Design, as well as types of portfolios
  • Understand the fundamentals of problem solving and strategies for implementation
  • Use differentiated problems to address individual student's needs
  • Help students become proficient in self-assessment

Level 2: Standards-Based Classroom Modeling: Problem Solving and Formative Assessment for the Common Core

The Classroom Modeling session demonstrates the problem-solving, assessment and communication process across all levels to support the Common Core Standards for Mathematical Content and Mathematical Practice.

Components for this workshop can include:

  • A working portfolio lesson that addresses the request of the classroom teacher(s). The lesson may focus on a particular mathematical content area, standard, strategy, multi-step problem and/or using mathematical language.
  • Questioning students about their thinking in order to generate mathematical connections, communication and reasoning, both verbally and in writing
  • Demonstrating differentiated instruction
  • Introducing instructional techniques that promote students' understanding and use of the Mathematical Practices as well as students' higher-order thinking, reasoning and communication skills.
  • Building student confidence and interest in mathematical problem solving and communication
  • Utilizing Exemplars open-ended problems to introduce mathematical content, representations, language and connections, and to encourage mathematical discussion

Level 3: Assessing Student Performance Against the Common Core and Using Results to Improve Performance

This mathematics session is designed for participants with a basic understanding of performance-based assessment and instruction as well as the Exemplars assessment rubric. Typically, participants will have completed the Level 1 training and have some experience doing problem solving with assessment in their classrooms.

In this session, participants will:

  • Assess participants' student work brought from their classrooms to inform instruction
  • Discuss strengths and weaknesses evident in student work in relation to the Common Core standards and the Exemplars assessment rubric
  • Review resources for working/assessment portfolios and use of Exemplars Preliminary Planning Sheets
  • Address specific questions pertaining to Exemplars assessment rubric to improve scoring validity and reliability
  • Develop and share strategies to enhance learning opportunities
  • Investigate strategies for developing students' mathematical communication
  • Analyze data in mathematics to inform instruction
  • Use student errors in mathematical reasoning as a teaching tool
  • Develop strategies for moving students from an "almost meets" the standards level to a "meets" the standards level
  • Utilize critical-thinking questions to promote mathematical connections
  • Teach students how to communicate their mathematical thinking
  • Integrate mathematical representations into problem solving

Level 4: Integrating Content, Problem Solving and Assessment in the Classroom to Support the Common Core Standards for Mathematical Content and Mathematical Practice

This mathematics workshop is designed for participants who have a stronger understanding of performance-based assessment and instruction and the Exemplars assessment rubric. Typically, participants will have completed training sessions for Levels 1–3. The focus shifts from the classroom level to the school/district level to assure success.

In this session, participants will:

  • Assess students' work to identify school/district benchmarks
  • Create and modify existing problem-solving tasks, including Preliminary Planning Sheets, for working/assessment portfolios
  • Analyze, interpret and use assessment data to improve teaching and learning
  • Discuss meaningful feedback for students aimed at improving mathematical performance
  • Develop assessment resources at the grade, school and/or district level
  • Use results from multiple performance assessments to improve performance at the school/district level
  • Address individual/classroom/grade-level/school/district assessment needs
  • Develop/Select formative and summative assessments at the school/district level
  • Embed problem solving into core curriculum to support CCSSM

Sessions for School/District Leaders

Developing Leadership Capacity for the Common Core

This workshop is designed to give math teams, coaches and mentors the tools they need to support their colleagues in implementing standards-based assessment and instruction to support the the Common Core Standards for Mathematical Content and Mathematical Practice effectively in their schools.

In this session, participants will:

  • Learn what to look for in a standards-based mathematics classroom
  • Review Exemplars assessment rubric
  • Assess student work to build reliability and validity with Exemplars assessment rubric
  • Assess student work at the individual/class/grade/school/district level to determine:
    • What do we know our students know?
    • How well are our students performing?
    • Why are our students performing this way?
    • What do our students need to relearn, practice?
    • What do we learn about our teaching?
    • What are our next steps for these students?
  • Discuss possible actions for supporting peers
  • Use samples of student work to share strategies (questioning, connections, representation, mathematical language, etc.) necessary to raise students to the Practitioner level (meeting the standard) and beyond
  • Begin/Develop an assessment system that supports CCSSM
  • Select performance tasks for working portfolios
  • Select performance tasks for assessment portfolios
  • Select grade-level/school/district anchor papers
  • Discuss calibration/scoring sessions

The Standards-Based Common Core Classroom: What to Look for and How to Support Your Teachers

This workshop provides an opportunity for leaders and administrators to understand the basics of standards-based assessment and instruction and problem solving in their schools' classrooms and to support teachers with the process. 

In this session, participants will:

  • Discuss what to look for in a standards-based classroom and how to question students about their mathematical problem solving and communication
  • Discuss ways to move mathematical problem solving and communication forward as a whole staff
  • Define the vocabulary of mathematical problem solving, assessment and communication
  • Define the types of assessment that an educator incorporates in her/his teaching
  • Study and apply the Exemplars assessment rubric
  • Link performance tasks and the Exemplars assessment rubric to Common Core grade-level expectations (depth of knowledge, state release items, etc.)
  • Support and engage teachers in discussion around the Common Core Mathematical Practices. Address questions and concerns.

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I have been using the math Exemplars K-8 for the past 6 years. I am a former NYC Math Coach and I have seen Exemplars improve my students Mathematics skills and thinking

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