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Addition, Subtraction, and Place Value

Teaching Mathematics to Struggling Learners: Addition, Subtraction and Place Value focuses on diagnosing and addressing student difficulties and developing mathematical content knowledge for teaching in the areas of addition, subtraction, and place value.

 

TMSL: Addition, Subtraction, and Place Value Course Goals

Participants will:

  • Understand research-based strategies and best practices for struggling learners in mathematics
  • Understand and apply Carol Dweck’s Growth Mindset to encourage persistence and effort in their students
  • Analyze and experience the Specially Designed Instruction (SDI) resource, Do the Math, centered on the content of addition, subtraction, and place value
  • Analyze and experience diagnostic assessment
    • Understand how to use Michael Battista’s Cognition-Based Assessment of Addition and Subtraction and Place Value as a diagnostic assessment
    • Understand how to use embedded formative assessment (Do the Math Show What You Know) to guide instruction and make students aware of their own learning
  • Understand the alignment between the Battista diagnostic assessment and the Do the Math resource in the areas of addition, subtraction, and place value
  • Identify and discuss prerequisites to learning addition and subtraction
    • Spatial patterns and subitizing
    • One and two more, one and two less
    • Anchoring to 5 and 10
    • Part-part-whole relationships
  • Identify and analyze salient features in different problem types
  • Apply graphic organizers as models for understanding problem types
  • Understand and apply the four types of assessment:
    • Progress monitoring
    • Diagnostic assessment
    • Formative assessment
    • Summative assessment
  • Understand how to incorporate basic fact fluency into their intervention time on a routine basis
  • Review the purpose of teacher think-alouds for the teaching of addition, subtraction, and place value, and practice this instructional strategy
  • Experience activities to increase their content knowledge in the areas of addition, subtraction, and place value
  • Understand and practice the use of various models of representation in the teaching of addition, subtraction, and place value