Making Meaning for Operations in the Domains of Whole Numbers and Fractions

  • Developing Mathematical Ideas: Making Meaning for Operations in the Domains of Whole Numbers and Fractions (Grades K - 8)

    Description: In a culture of communal inquiry, participants will explore the actions and situations modeled by the four basic operations, beginning with an examination of the operations on whole numbers and then moving into a study of the operations in the context of fractions.

    MMO is a module in the professional development series, Developing Mathematical Ideas. At the heart of each module are sets of classroom episodes (cases) illustrating student thinking as described by their teachers.  In addition to case discussions, participants will: explore mathematics in lessons led by facilitators; view and discuss video clips of students’ mathematical thinking; deepen their understanding of the content and practice standards of the Common Core; discuss teacher moves and the NCTM teaching practices; and read overviews of related research.  

    Outcomes: The MMO seminar is designed to bring together teachers from Kindergarten through middle grades to: 

    Analyze the key mathematical ideas that underlie the meaning of addition, subtraction, multiplication, and division of whole numbers and fractions;

    Learn how these core mathematical ideas develop from Kindergarten through grade 8, including what many students find especially challenging

    Consider the types of classroom settings and teaching strategies that support the development of student understanding;

    Recognize how the CCSSM mathematical practices arise in this content and learn to engage students in the practices, with particular focus on MP1(make sense of problems and persevere in solving them), MP2 (reason abstractly and quantitatively), and MP3 (construct viable arguments and critique the reasoning of others).  

    Choose Implementation Package

    A

    4 Days

    Focused Workshop

    Casebook


    B

    3 Days

    Focused Workshop

    Casebook

    3 two-hour online video conference follow-up sessions with asynchronous web-based participation


    C

    2 Days

    Focused Workshop

    Casebook

    5 two-hour online video conference follow-up sessions with asynchronous web-based participation


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