Building a System of Tens Calculating with Whole Numbers and Decimals

  • Developing Mathematical Ideas: Building a System of Tens Calculating with Whole Numbers and Decimals. (Grades K - 8)

    Description: In a culture of communal inquiry, participants will explore the base-ten structure of the number system and sort out the reasoning that underlies the computational strategies--including the conventional algorithms--for the four basic operations as they apply to whole numbers and decimals.

    BST 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.  

    OutcomesThe BST seminar is designed to bring together teachers from Kindergarten through eight grades to:

    Analyze the key mathematical ideas of the base-ten number system and recognize how they are applied in multidigit computation with whole numbers and decimals 

    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 MP3 (construct viable arguments and critique the reasoning of others), MP7 (look for and make use of structure), and MP8 (look for and express regularity in repeated reasoning)

    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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